diff --git "a/data/dm_maths/full_data/1215_11255.jsonl" "b/data/dm_maths/full_data/1215_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1215_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q(o) = -o**2 + 9*o + 12. Let l be q(10). Suppose -2*m**3 + 2*m**5 + 3*m**4 + 11 - l*m**2 + 0*m**3 - 10 - 2*m**2 = 0. What is m?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7071*a - 6001*a - 6543*a + 3276*a - 1281*a in the form t + n*a and give n.\nAnswer: -17620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c. Let q(y) = 270*y + 54*y + 94*y + 181*y. Give t(q(b)).\nAnswer: -1198*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 470643 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7654645, -7654654, -7654661, -7654666, -7654669, -7654670, -7654669?\nAnswer: -7654666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 3437415 + 296018. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.100807799 and 0.6.\nAnswer: -0.0604846794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**7\/210 - g**4\/24 + 2*g**3\/3 + g. Let o(d) be the second derivative of w(d). Differentiate o(b) with respect to b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -46. Suppose -i*l - 33 = -0. Let y be l\/(-77) + 6\/42. Which is the third smallest value? (a) 1.9 (b) 1\/6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 - 163*i - 827. Let g be z(-5). Calculate the greatest common divisor of 1136 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.102 + 49.6. What is p rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4700 at most as big as -4703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6456*j**3 - 2 - 81523*j**3.\nAnswer: -75067*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**4\/4 + g**3 + g**2 + g - 1. Let k = 0 + 7. Suppose -k = 3*y - 1. Give t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/((-238)\/17))\/(-1). Let v(m) = 12*m. Determine v(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2880 and 1602.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1872)*-3 - (sqrt(13)*-2*6 - sqrt(156)\/(sqrt(108) + sqrt(12))))**2.\nAnswer: 8634925\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 370 = 4*f - 4*w, 4*w + 214 = 2*f. What is the remainder when f is divided by 41?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/8 of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(2\/5)*y)**20)**(13\/7) assuming y is positive.\nAnswer: y**(676\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -26. Let u(g) = -g**2 - 9*g + 10. What is the remainder when (-173)\/(-9) + (-2)\/o is divided by u(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313955327.\nAnswer: 29, 79791563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4) + -5 + -1 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 v when three letters picked without replacement from {r: 1, o: 2, v: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 m, and 1 y when three letters picked without replacement from {d: 1, m: 1, h: 1, g: 2, y: 3, f: 4}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**4*v - 153*m**3*v - m*v - 3316*v with respect to m.\nAnswer: 12*m**3*v - 459*m**2*v - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/1070 and -131 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -9dba8?\nAnswer: -9dbaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 7016, -1, 2, 316?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 2*h - 3*s, -3*h + 118 = h - s. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 11. Let p(v) = v**3 + 9*v**2 + 7*v + 4. Let b be p(-8). Suppose 5*i + b = 2*i. Sort -2, i, w in ascending order.\nAnswer: i, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868775771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1420734 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -19\/4*l**5 + 0 + 0*l**2 - 185\/12*l**4 + 1\/30*l**6 + 0*l**3 + 274*l. Find the third derivative of z(x) wrt x.\nAnswer: 24*x - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29131350\/8050 - (-4)\/(-46) - 2\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*a + 3*j, -1 - 9 = 3*a - 5*j. Sort a, 2, -3.\nAnswer: -3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = 20. Suppose 24 = g*c - 7*c. Let f be 8\/(-6)*c\/8. Solve -2 = x + f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/12859 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5 - 853*l**4 + 33001*l - 16497*l - 16504*l + 24*l**2 - l**3 wrt l?\nAnswer: -20472*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/8 + 894939*n\/8.\nAnswer: 3*n*(n + 298313)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuiuiui. What is prob of sequence iui?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 = -1. Let m be (0 + g)\/(6\/10). Suppose -m*f - 8 = -183. Solve -5*a + 3*c + 40 = 0, -3*c + 7*c = 3*a - f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -130*(-966)\/(-5635)*((-70)\/(-4))\/(-5)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -3171*j**5\/20 + j**3\/6 + 1525*j**2\/2 + j - 551. Differentiate x(q) with respect to q.\nAnswer: -9513*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**8\/3360 - s**7\/630 + 7*s**6\/2160 - s**5\/360 + 10*s**3\/3 - 25. Let y(w) be the third derivative of p(w). Factor y(r).\nAnswer: r*(r - 1)**2*(3*r - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-14))\/((-6528)\/(-102816))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:08 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1468952*u**3 - 2803083*u wrt u.\nAnswer: -8813712*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24759 and 134406.\nAnswer: 940842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161502 and 10164.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 0*f**2 - 14*f**3 + 3*f**3)*(1 + f - 3 + 5*f) to the form b*f + z*f**4 + c*f**3 + g + k*f**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 333\/119 + 86\/17. What is the common denominator of j and 8 + (-153)\/18 - (-32)\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 4 + 2 + -13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2\/5 + 13218*x\/5 - 14559627\/5 = 0.\nAnswer: 2203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c - 0. Suppose 2*s = 3*s - 1, -c*v + 17 = 5*s. Suppose -v*k + 85 = -k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 12. Let n be z(0). Let i be 1316\/(-84) - (-2)\/3. Let f be 323\/3 - 5\/i. What is the highest common divisor of n and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 102*b**2 - 61*b - 41. What are the prime factors of l(-10)?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, v: 1, t: 7, h: 4, l: 3, w: 1}. What is prob of sequence ttul?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/6)\/((-10)\/(-165)). Let y = t - 15. What are the prime factors of 2\/y - (-5)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -9716 and -10960 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q + 2266. Let s(a) = -15*a - 4538. What is 11*c(t) + 6*s(t)?\nAnswer: -2*t - 2302","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -4, 74\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -47. Calculate the highest common divisor of h and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -105*a - 11. Let i(n) = -157*n - 15. What is -5*i(g) + 7*w(g)?\nAnswer: 50*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 3) to base 2\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1944 (base 13) to base 12.\nAnswer: 133bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.51 and 765?\nAnswer: -3450.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/32 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 9:49 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29538917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**2 - 4*n - 2. Let f(z) be the second derivative of 2*z**4\/3 - 5*z**3\/6 - z**2 - 24*z. Calculate -5*f(o) + 6*l(o).\nAnswer: 2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Suppose -2*f + 110 = 3*f. Suppose 0*j = -4*l - 3*j + f, -5*l - j = -22. What is the third biggest value in p, l, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1919?\nAnswer: 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a + 3*h - 1, -4*h - 22 = -5*a. Solve 0 = 5*n - 22 + a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -c - 47, 4*d - 2 + 24 = -3*c. Find u such that -7\/3*u**3 - 4\/3*u - 29\/6*u**c + 7\/6*u**4 + 2\/3*u**5 + 2\/3 = 0.\nAnswer: -2, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 + 157. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 378 - 358. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1564727 by -6.\nAnswer: -1564727\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1\/2 (c) 6\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -62. Suppose a - 4*i - d = 0, 4*a + 2*i = -3*i - 35. Let c(t) = -t**3 - t**2 + 4*t - 1. List the prime factors of c(a).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1\/4, -2\/3, -145, -0.12 in descending order.\nAnswer: 1\/4, -0.12, -1\/3, -2\/3, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 558 = -2*g + 1426, 3*h = 5*g - 2144. What is the greatest common divisor of g and 10535?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from ypuppuyyplb.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11981 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 8054888?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**2 - 13*u - 10. Suppose -10 = -10*g + 12*g. What are the prime factors of q(g)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**2\/4 + 4500*z + 6750000 = 0?\nAnswer: -3000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-10) - ((-3)\/(-2) + -2). Let i = -0.3 - -0.2. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102\/35 <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -134241 (base 5) in base 7?\nAnswer: -22146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1382135 and -470.\nAnswer: 649603450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -26 - -24 - 10\/(-4). What is i in 1 + a*i - 1\/2*i**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2. Let p be ((-9 - -10) + 4\/(-8))*6. Let s(h) = p - 93*h + 45*h + 49*h. What is 3*r(g) + 2*s(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 + 0.2. Let m(z) = -z + 2. Let i be m(-2). Let b be ((-16)\/i + 2)\/(-1). What is the closest to 1\/4 in b, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 - 2*i**5 + 4*i**5 - 3*i**5 + (3*i**3 - 3*i**3 - 2*i**3)*(6*i - i + 0*i)*(2*i + 3*i - 3*i)*(-8 + 2 + 7).\nAnswer: -21*i**5 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -290*l**2 - 15*l. Let m(d) = -3187*d + 1. Give m(t(i)).\nAnswer: 924230*i**2 + 47805*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4779215 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -945*a - 1732. Is g(-15) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56108 + 201053. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -400 by 102.\nAnswer: -200\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/18 and -73\/10274.\nAnswer: 92466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*n**3*s**3 - n**3*s + 81*n*s**2 - 4*s**3 - 3*s wrt s?\nAnswer: -126*n**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0*u**3 + 29\/6*u**4 + 0 + 0*u**2 + 24*u. Let x(o) = o. Give x(j(b)).\nAnswer: 58*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1688601725 from 0.1.\nAnswer: -1688601724.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2150281 centuries?\nAnswer: 258.03372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*-3*(-4)\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/30 and -19\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(2) - sqrt(2)) + 3) - (sqrt(128) - (sqrt(128) - (sqrt(128) + -1)))**2*3.\nAnswer: -402 + 58*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*n = -321 - 3957, 3*n = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 83.73176 kilograms?\nAnswer: 83731.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 91aa + -a773?\nAnswer: -1596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-7) - (-5 - -3). Let o = 15 + -15. Is o greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 310822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007796 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from kkaaaaaabkaka.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and (-2442)\/(-54) - 26\/117.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 3:44 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(3\/8)))\/j**(-2\/19)*(j*j\/j**1)**(-6))**31 assuming j is positive.\nAnswer: j**(-26009\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 7056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6320 + 20?\nAnswer: -6300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r + 1. Let p be i(-1). Let s(l) = -2*l + 4. Let d(z) = z - 2. Let c(v) = p*s(v) - 13*d(v). Let m be c(0). Solve m*u - 12 = -2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 + 4*i**2 - 72*i - 23. Give c(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 k when three letters picked without replacement from {k: 5, x: 15}?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -407271740*u - 359469699 with respect to u.\nAnswer: -407271740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3666451 - v + 21268*v**2 - 3666451 to the form j*v + b*v**2 + i and give b.\nAnswer: 21268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9205444.\nAnswer: 2, 2301361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiticctivqqcfivvqccq. Give prob of picking 1 f, 1 c, and 2 v.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 119850.6 months?\nAnswer: 99.8755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-1) - (0 + 1). Let w be (278\/(-4))\/((-24)\/(-96)). Is w\/(-3) - t\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001010101111 (base 2) in base 9?\nAnswer: -18716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 35*h - 17. Let p(l) = 9*l. Determine p(w(m)).\nAnswer: 315*m - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5945*p - 18 + 5948*p - 4*p**3 + 0*p**3 - 2*p**2 - 11896*p as n*p**3 + w*p**2 + v + r*p and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4938.5819 + 4941. Let k = 175 + -175.0281. Let s = k + b. Round s to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7 + 20?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**2 - 13*y - 5. Let h(w) = -w**2 - w. Let d(z) = 5*h(z) - n(z). Let f be (-3)\/(-9) + (-78)\/18. What is the units digit of d(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.474, -41647 in increasing order.\nAnswer: -41647, 0.474, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 6755243?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m\/(m*m**(-2)))*m)\/m)\/m*m*m\/((m**(-2\/15)\/m)\/m))\/(m**(-1)*m)**30 assuming m is positive.\nAnswer: m**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 - 779\/7. Let f be (0 - 2) + (-7)\/(-7). Which is the nearest to f? (a) -3\/2 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**7\/42 - 233*a**6\/24 + 157*a**5\/4 + 1165*a**4\/24 - 1175*a**3\/3 + 495*a**2 - 1. What is z in k(z) = 0?\nAnswer: -235, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -542.\nAnswer: 17\/542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19004.\nAnswer: 2, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:04 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3664 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -133*k - 924. Let x(h) = -h**2 - 4*h + 5. Let b be x(-4). Suppose -b*t + 0*t + 15 = 0. Calculate the lowest common multiple of t and d(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5838, -1, -4, -11 in descending order.\nAnswer: 5838, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31157740 divided by 15578870\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1809941?\nAnswer: 7, 258563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.9? (a) 3 (b) 0.11 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 2*q + 22 = 14*x, -3*q = 15. Let w(v) = v**3 - 7*v**2 + 6*v + 3. Give w(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + sqrt(245) + -1 + 1 + -4)**2*-1.\nAnswer: -247 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 40*b**2 - 58*b + 271. Calculate m(38).\nAnswer: 955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1715687247 + -0.17156. What is p rounded to 7 dps?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let g(h) = 456*h**2 - 20*h + 5. Let v(d) = -229*d**2 + 8*d - 2. Let b(k) = 4*g(k) + 10*v(k). Determine y(b(p)).\nAnswer: -466*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110333 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) - (sqrt(17) + -4 + -2*sqrt(17)))**2 + 3*3*sqrt(17).\nAnswer: 84 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 10:45 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, o: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**5\/60 + 5*n**2. Let i(c) be the third derivative of -c**4\/12 + c**2. What is s(i(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - b. Let l(x) = -x**2 + 3*x - 2. Let f(z) = z**2 + 3*z. Let c be f(-2). Let j(d) = c*q(d) - l(d). Determine t, given that j(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - 4*c**5 + 2*c - 27*c**5 - 43*c**5 + 25*c**5 + (-c - 2 + 2)*(-3*c**4 + 6*c**4 - 2*c**4) - 2*c**5 + 3*c**4 - 3*c**4 + 0*c**5 + 2*c**5 + c**5.\nAnswer: -49*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5367522109 to the nearest integer?\nAnswer: 1751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-208)\/156)\/(-1*4\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40.43 + 40.43. What is the nearest to 31 in 1\/3, i, -4\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 14*j + 2. Let x be b(-7). Suppose 0*w + 4*z = -3*w + 18, x*z - 4 = w. Find the third derivative of 4*f**2 + 10*f**2 - f**w + 12*f**6 wrt f.\nAnswer: 1440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.06 + 0.06. Let m = 31742 - 31738. What is the nearest to 3\/5 in -0.1, s, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 32*h**2 - 37*h + 202. What is the remainder when 10893 is divided by b(31)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2877440 divided by 11240?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**34\/a*a*a))\/a**(-15)*a\/(a\/a**(-22))*a**(-6\/5)*a assuming a is positive.\nAnswer: a**(-201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -38, -0.2, 2 in decreasing order.\nAnswer: 2, -0.2, -6\/7, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 84 = -14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + 8 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78452736793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -2\/11 (c) -0.3 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 116519, 8, -1\/8 in descending order.\nAnswer: 116519, 8, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 109102393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 + -42. Suppose g - 23 = -2*l, 2*g = -5*l + 1 + j. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s - 2. Let z(n) be the first derivative of -5*n**4\/24 + 171*n**2\/2 + 142. Let c(k) be the second derivative of z(k). Give c(j(r)).\nAnswer: 35*r + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9293 + 136*k - 9293)*(-3*k + 0*k + k)*(-6*k + 3*k + k)*(-16 + 12 + 5).\nAnswer: 544*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/9 (b) -52 (c) -3 (d) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3654 + -1021. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16730953?\nAnswer: 101, 165653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -47. Let c = y + 85. Let b = -53 + c. Solve -u = b*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 223015825458 from 8.\nAnswer: -223015825450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**4 - 2*o**3 - 15*o**2 + 32*o - 16 = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3001 less than -2978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 20 + 23 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 39*x - 213*x - 2*x**3 + 88*x + 86*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-16)*n*n\/(n*n\/n**8))\/(n\/(n\/(n\/(n*n\/n**(-9)))))**(-41) assuming n is positive.\nAnswer: n**(-418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 11*b - 4. Let k(o) = o**2 + o - 17. Let z be k(4). Calculate the lowest common multiple of 5*z*(1 + (-8)\/24) and f(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44100 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 23, 54, 97, 152, 219?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 2:11 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 95*v = 91*v - 100, 4*v = -3*l + 47 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 1\/66*u**4 + 1\/11*u**3 + 0 + 2\/11*u**2 - 4*u. Suppose s(k) = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -830*f + 95. Is 9 a factor of c(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79113 - -174176. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303, 621, 941, 1263, 1587, 1913?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*108674323.\nAnswer: -326022969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62067*x + 99456.\nAnswer: 62067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5161253474 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggugjgu. Give prob of sequence jug.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364, 674, 1198, 1936?\nAnswer: 2888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1547886 and 12.\nAnswer: 3095772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*r**4 - 4732*r**3 + 479968*r**2 - 1058192*r + 234624 = 0. What is r?\nAnswer: -376, 1\/4, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-5 + 12\/4. Calculate the remainder when -14*(3\/2 + p) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 6, -23.\nAnswer: -23, -5\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 11 + 5. Suppose 0 = -2*h - n*m + 8 + 10, 2*h = m + 33. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -383312 by -33.\nAnswer: 383312\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 407846798 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.1, 2, 1\/6, -33, 8, -3 in descending order.\nAnswer: 8, 4.1, 2, 1\/6, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 269, 271, 273?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, 5, -6\/793?\nAnswer: -6\/793","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -166\nAnswer: 37\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 36*u**2 + 96*u + 64.\nAnswer: 4*(u + 1)*(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(((-6)\/20)\/((-12)\/4)). Suppose -14*o = -18*o + k. Solve 3*m - 3*t - 6 = 0, 4 = 2*m - o*m - 2*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -2053, -5243, -9885, -15985, -23549?\nAnswer: -32583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 4*o**3 - 2*o**3 + (-2*o - 2*o**2 + 2*o)*((-3*o + 13 - 13)*(3 + 2 + 7) - o - 2*o + 4*o) in the form y*o**3 + f*o**2 + q*o + l and give y.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 634 + -639.98. Let f = -0.12 + z. Let q = -2.8 - f. Round q to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1980060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4 - 8*m**3 - 6*m**2 + 20*m + 16 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 422716 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 673386\/28*9\/18*(3 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237892083*o**3 - 13514*o**2 - 11625*o?\nAnswer: 1427352498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 5*m - 3. Let o be v(2). Suppose o*a = -15 + 39. Suppose 0*z**3 + 13*z**5 + 12*z**3 - a*z**2 + 15*z**5 + 48*z**4 = 0. What is z?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-262)\/2)\/(10 - 0). Let o = t + 73\/5. Suppose -282 = 10*z - 292. Which is the closest to o? (a) -5 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35438 = 1510*m - 5238 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 899849 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 85\/(-15) - 8\/(-12). Let t be v\/(-2)*(-1134)\/(-35). Let j = t + -57. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 3*t**2 + 2*t + 2. Let h be b(3). What is the third derivative of h*i - 8*i + 0*i + 10*i**2 - 6*i**6 wrt i?\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfo when three letters picked without replacement from ypyooyopopvfoyppy.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 648*q**3 + 105621*q**2 + 208658*q.\nAnswer: q*(q + 2)*(q + 323)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-12))\/u*u*u**(5\/7)\/u*(u**(-10)\/u)**(-8\/9) assuming u is positive.\nAnswer: u**(1417\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/u**(-4))\/(u\/u**(1\/4)*u)**(-14) assuming u is positive.\nAnswer: u**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 836\/36 + 2\/(-9). Let o be (-1)\/(8\/(-3262)) - 1\/(-4). Suppose 3*c - 5*l + 48 = o, 339 = 3*c + 2*l. Calculate the greatest common divisor of s and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -176, -260, -378?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*j - 28 = 0, 0 = 2*x + 2*x - 2*j + 24. Let l be (-135)\/(-21) - x\/14. Suppose 0 = -5*r + l*r + 1164. Round r to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.11 - 18.08. Let u = -8 - k. What is u rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1313?\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1454\/6483 or 0?\nAnswer: 1454\/6483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(110)*2 - sqrt(110) - (sqrt(110) - (sqrt(110) - 3*sqrt(110)*-5 - sqrt(110))))\/((sqrt(90) + sqrt(90)*2*2)\/((sqrt(36)\/sqrt(2))\/sqrt(2))).\nAnswer: 23*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4*j = 28, -4*z - 3*j - j = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93943 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -m - 3, 127*q - 130*q = 5*m + 15. Sort q, -16, 2, -3 in ascending order.\nAnswer: -16, -3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, z: 2}. Give prob of sequence jzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/4*(-13)\/((-572)\/(-2))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1520 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1651.1 + -1651.0984778. Round t to 5 dps.\nAnswer: 0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1793 - 27.\nAnswer: -26.8207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3921.474kg to nanograms.\nAnswer: 3921474000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9126*f**3 - 334704 + 334704.\nAnswer: 9126*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51.1 + -34.1. Let v be ((-2)\/10)\/(28\/(-70))*6. Which is the third smallest value? (a) -1 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/m**(3\/2)))*m*m**(-1\/3))**(-32)\/((m**(-4)\/m)\/m*m*m**(-12)*m)**(9\/2) assuming m is positive.\nAnswer: m**(200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 846093 or -0.3?\nAnswer: 846093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzv when three letters picked without replacement from iyvzzvizzvzymyyzzmm.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1377) + 2 + sqrt(1377))*2 + ((sqrt(119) + 1*sqrt(119))*3)\/(-5*sqrt(21)\/sqrt(3)))**2.\nAnswer: 52128*sqrt(17)\/5 + 20064132\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738672?\nAnswer: 2, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 22. Let t(m) = -2. Let q(s) = g(s) + 5*t(s). Let x be q(20). Solve -7*k = 13 + x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1273.699992843 + -1273.7. Round n to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26887, 26882, 26877, 26872, 26867?\n\"Answer: -5*m + 26892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3545750 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*v + 90*v + 9*v**4 - 32*v**4 wrt v.\nAnswer: -276*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32526173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -k - 4, 4*r + 8 = -1822*k + 1818*k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from {g: 2, x: 1, u: 2, l: 2, f: 1, e: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let j(b) = 2*b**2 + 2*b - 2. Let v(g) = 4 - g + 2 + 0 - 5. What is q*j(z) + 2*v(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320256?\nAnswer: 2, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 7:45 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/6 + 1847*k\/6 - 231952\/3.\nAnswer: (k - 224)*(k + 2071)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47278606.\nAnswer: 2, 3533, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8813540.\nAnswer: 2, 5, 440677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 7\/3, -4, 1\/11, 0.1.\nAnswer: -4, -0.07, 1\/11, 0.1, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4205 (base 7) in base 14?\nAnswer: -775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0073879155 rounded to 4 dps?\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 8*x + 89\/2*x**2 + 0 + 1\/6*x**3. What is the units digit of z(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00826 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 6*h**2 - 5*h - 14. Let v be w(-6). Suppose -2*m + 3*m = i + v, -4*m + 68 = -3*i. Let l = 16 - 8. What is the least common multiple of m and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72346 (base 8) in base 7?\nAnswer: 153151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692 = 3*z + z. Suppose -537 = -4*f - z. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 202*d - 201*d - 4. Determine p, given that -2\/3*p**d - 2\/3*p**2 + 0 + 0*p - 4\/3*p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 10*c**2 + 8*c - 6. Let u be x(-9). Suppose -2*t + 32 = 12. Solve 1 = u*h + t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 806 = -12*f. Let i = f + -56. Let b be i\/(-2) - (-2 + 18\/(-24)). Is b equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, -4, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -55, -77, -119, -187, -287, -425, -607?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -220000 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3185.919 millennia to decades.\nAnswer: 318591.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(2\/82051*(322\/(-28))\/(-23)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9688918*d**3 - 21596973*d**2.\nAnswer: 58133508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 18 + 12 = 5*a, -4*l = 5*a - 30. Suppose -3*w = -0*v - 3*v, 5*w - a = 3*v. Suppose -w*n = -8*n + 545. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000100110 + 10000?\nAnswer: -11000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32437740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-40)\/75)*(-29246)\/31335\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i + 140. Let r be c(-14). Calculate the greatest common divisor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 - 48*a - 151. Let h be -1 - (0 - (-3)\/(-1)). Suppose -h*c = s - 58, 4*c = 3*s - 2*s - 34. Calculate the common denominator of j(-3) and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-2 - -1) + (-1192 - -1199)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2301, -4351, -6151, -7701?\nAnswer: -9001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 2*j**2 + 4*j)*(14 + 14 + 5) + (-1 + 1 + 2*j)*(-3*j - 11 + 11).\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40852, -40854, -40856, -40858?\n\"Answer: -2*h - 40850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -911.1401949 to 1 dp.\nAnswer: -911.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/(-390) - (-37)\/(-30).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/707 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Let i be s\/18*10 - 1. Let k = -0.1 + 0.1. Which is the biggest value? (a) 4 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1203.7 (b) 3496 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1860, -3742, -5616, -7482, -9340?\nAnswer: -11190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -23 - (-52 + 74).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78.45 <= -29.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + -3 + sqrt(12)\/(sqrt(18)\/sqrt(3)) + -2 + (-3*sqrt(12)\/sqrt(6) - sqrt(18)\/(sqrt(54)\/sqrt(6))))**2.\nAnswer: 36*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4521255461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j**2 + j + 1. Suppose -7*v + 10*v - 9 = 0. Suppose 0 = -v*d - 0 + 90. Calculate the remainder when t(3) is divided by d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 406826?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116045?\nAnswer: 5, 23209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 k when four letters picked without replacement from {j: 7, f: 4, k: 5}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 530 + -530.1. Let h = -26 - -15. Which is the closest to h? (a) x (b) 3\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3. Let z(v) = 4*v**3. Calculate 24*j(w) - 3*z(w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8415*d**2*u**3 + 100*d**2*u**2 + 9*d**2 - d*u**3 + 2*d*u - u**3 - 5*u**2 wrt u.\nAnswer: -50490*d**2 - 6*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 1218 = -23*b. Let s(a) = a**2 + 4*a + 1. Let v be s(-9). Let j = v + b. Solve 2*g - 4 = j*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-1\/29)*f\/(f*(f**(-4)*f)\/f)*f*f**(1\/29)*f**(-38) assuming f is positive.\nAnswer: f**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 518253761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eikekkke. Give prob of picking 2 k, 1 i, and 1 e.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 104*c - 111*c + 315. Let v be (-1)\/(3 + (-28)\/9). What is the greatest common divisor of c and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*t - 6. Suppose 2*b + b = t. Which is bigger: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**(-6\/11))\/q)\/(q*q\/q**(-3)*q)*(q\/(q**(-13\/3)*q*q))\/(q\/(q*q**(-36))) assuming q is positive.\nAnswer: q**(-1225\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 - -45. Let o = y + 202. List the prime factors of o.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 23*s**3\/3 + 27*s**2\/2 - 2*s. Suppose 19*f - 231 = 73. Is v(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, m: 10, c: 1, k: 1}. Give prob of picking 1 c and 1 s.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*s**4 + 76*s**4 - 3*s**2 - 190*s**4 + 5 - 2 as n*s**2 + x*s**4 + i + y*s + v*s**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 3, c: 7, v: 1, u: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5346 by 18.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqcjvjjjjc. What is prob of picking 1 c, 1 r, and 1 q?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-23 - -15))*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.7365 * -0.312.\nAnswer: -2.725788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5835276 to the power of 1\/2, to the nearest integer?\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001847 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215438388 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4014571500.\nAnswer: 2, 3, 5, 29, 30763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392529 is divided by 974.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 63 * 0.4158\nAnswer: 26.1954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 8:30 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/u)**(-33\/2)\/(u\/u**(1\/7))**(-5\/8) assuming u is positive.\nAnswer: u**(15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -200, -202, -206, -212, -220, -230?\n\"Answer: -g**2 + g - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -774, -2666, -6372, -12498?\nAnswer: -21650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) -61 (c) 4 (d) 17\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from ypjuqqn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8 - ((11 - 6) + -61)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 133.1979ug?\nAnswer: 0.0000001331979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + 1. Suppose 4 = -4*m - 0. Let j be d(m). Solve j = c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -19*b**5\/20 - b**4\/12 + b**3\/6 + 5*b**2\/2 + 3*b - 571. Give v(-2).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 967 + -923. What is the remainder when 526 is divided by q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 32796720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 135*d**2 - 26*d + 13. Let b(a) = 23*a**2 - 4*a + 2. Let z(q) = 39*b(q) - 6*h(q). Let i(x) = -6*x. Calculate i(z(s)).\nAnswer: -522*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**(11\/3)*(i\/((i\/i**(-2\/5))\/i)*i)**(1\/64))**(-8) assuming i is positive.\nAnswer: i**(877\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 6, 2*a - 6486 = -2*v. Suppose 0*p + 806 = -p - 5*s, 4*p - 2*s + v = 0. Let n = 1545 + p. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -g - 3*d, -5*d - 43 = -0*g - 2*g. Let z(t) = -t + 14. Let h be z(5). What is the greatest common factor of h and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 500*u**3 - u**2 + 28*u - 76. Is h(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**3\/3 + 3*m**2 - 8*m - 76. Calculate b(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11.1 and 668986681985?\nAnswer: 668986681973.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 7:31 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97\/(10088\/520)*1*-17.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -28*p + 3. Suppose -5*h + 3*g = -g + 15, -h - 3 = g. Let o(u) = -u**2 - 3*u - 4. Let a be o(h). Is c(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.8421*2.3\nAnswer: 29.53683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - -6. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -113*w + 123*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*(-107)\/(-6420)*4\/(-5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**3 - 5*g**4 - 4 - 6 - 172*g**2 + 5*g + 187*g**2 = 0. What is g?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2665589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -43.5906 (b) 2\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 6*a - 6. Let u be y(5). Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:19 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5103 and 0.5?\nAnswer: 5102.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -0.4, -0.05, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4648 is divided by 513?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from {z: 4, l: 6, b: 3, o: 2, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1594632 divided by -26\nAnswer: 61332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 9. Solve 4*d = -4*h + 20, h - b*h = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*d, -6*c + c + 4*d + 338 = 0. Does 22 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/10350 and -101\/15404.\nAnswer: 79715700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*l - 1, l + 37 = -5*o + 3*o. Let t(x) = -62*x**2 + 98*x - 26. Let v be t(5). Is 24 a factor of (-3)\/(-24) + v\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 5:06 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = -14. Suppose -2*m - 11 = -4*u - m, u = -b*m + 7. Suppose -100 = u*d - 523. What are the prime factors of d?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -71 + 9*r**2 + 74 - r**2 - 8*r - r**3. What is b(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/2124 and 95\/45576.\nAnswer: 2688984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in 0, -333, 0.2, -5, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 18 - 3*a - 55*a + 57*a.\nAnswer: -a + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 205496700 rounded to the nearest 100000?\nAnswer: 205500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*r - 507, 2 = r + 6. List the prime factors of b.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 16*j**2 - 9*j - 4. Let q be s(-16). Suppose 3*h = -53 + q. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/19 (b) 4\/3 (c) 6 (d) -5 (e) -1 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 9*b = -4. Suppose b*q - 4*q = 5*q. Suppose -4*x + q*x + 8 = 0. Put 4, -16, -2, x in descending order.\nAnswer: 4, x, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/27 (b) -3 (c) 6\/11 (d) -4 (e) 24.2 (f) -6 (g) -1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443650 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 4. Let q(c) = 2317652*c**2. Determine h(q(y)).\nAnswer: -4635304*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 248.0133 + -584.5947\nAnswer: -336.5814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5387)\/(26*5\/(-60)). Let q = 2483 - i. Find the common denominator of q and 0 + 1 - 207\/(-230).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 54408\/1296)\/((-26)\/(-416))?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8733 and 49692.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496491344 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11939097 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9*b = 33. Let x = 1 - b. What are the prime factors of (4 - x)*(-25)\/(-15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2151 + -927. Suppose 2*r = -4*h + b, -372 + 2229 = 3*r - h. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 161.23 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*d**2 + 5*d + 11*d**2 + 4*d**3 + 14*d**2 - 41*d**2 + d**4 to the form z*d**2 + l*d + f*d**4 + o*d**3 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/2 - 6*u**2 + 39*u\/2 - 14 = 0.\nAnswer: 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7194 divided by 3\nAnswer: -2398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from bembmxpbpxxbfbxfxp.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4370412 is divided by 728392.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 16 (b) 1\/3 (c) -2.92 (d) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59425, 118766, 178105, 237442?\n\"Answer: -j**2 + 59344*j + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2 (c) -676 (d) -0.5 (e) -2 (f) -4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26449 - -26447. Sort h, -5, -98, 3, -4.\nAnswer: -98, -5, -4, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(2 + (-4)\/8). Suppose q*k = -k + 208. Does 39 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -161 + -3252364?\nAnswer: -3252515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -4\/166737475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 + -195 + 63 + 22 + 0.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.9 + 27.3. Let b = 288.942 + -302.2. Let m = g + b. Round m to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 4*p**2 + 5*p + 2. Suppose -2*n + 5 = 3*v - 0, -20 = -3*v + n. Let g be r(v). Let k = -4 + 9. Sort k, 4, g, 7 in decreasing order.\nAnswer: 7, k, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2217.701 tonnes to grams.\nAnswer: 2217701000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 97*x - 223. What is w(94)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 16*q - 2*y, 5*y = -5159*q + 5168*q + 22 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/799295 (b) -5 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 5*n + 61. Let v(t) = t**2 + 7*t - 2. Let b be v(-8). Solve -3 = -n*d + 4*q - 5*q, 0 = -2*q + b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 287651960*c**2 - 493258659?\nAnswer: 575303920*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -31?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**2 - 2 - l + 3*l**2 - 3 + l**3. Let s be h(-10). Suppose 6*n - n + 90 = s*o, -2*o = 3*n - 61. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1785\/(9\/3) + 6 + -11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 3*l + 12 = 0, 148 = -4*y + 3*l + 138 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-1 + 0)) + 103. Suppose -p + 278 = 5*w. Suppose -w = o - 2*o. Calculate the greatest common divisor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3511, -7024, -10533, -14038, -17539, -21036?\n\"Answer: 2*d**2 - 3519*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 11579636 + 5790130 + 5789506.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4 + 82*m + m - 27*m + 35*m in the form g*m + d and give g.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q. Let o(b) = -1182*b - 2. What is i(o(t))?\nAnswer: -2364*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b + 86 - 261 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/869 + 24314\/7821. Let j = m - 103\/36. Let s = 32 - 32.07. Which is the closest to -2\/7? (a) j (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, x: 3}. Give prob of sequence bx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9731 - -29194\/3. Which is the closest to k? (a) -2 (b) 5 (c) -34 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkr when three letters picked without replacement from {i: 1, k: 2, r: 1, g: 2, f: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011001111010010 (base 2) in base 5?\nAnswer: -2433114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4623 at most 4622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -767437, -767143, -766849?\n\"Answer: 294*f - 767731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -123 - (15 - 5 - 44) - (1 - -9)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2 + sqrt(13))*4 + sqrt(13))**2 + 5.\nAnswer: -80*sqrt(13) + 394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 0 + 0)*(-3*s**2 - 11 + 2*s**2 - 9).\nAnswer: -2*s**4 - 40*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 17 = x - 5*x, -5*l - 35 = -5*x. Suppose 9 = x*v - 1. Solve -5*u - 4*m + 16 = 0, v*u = -0*m + 4*m - 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, u: 1, s: 1, c: 1}. What is prob of sequence sc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8576 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6*2\/4. Let j = 19\/165 - -1\/15. Sort -3\/2, p, j in descending order.\nAnswer: j, p, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.2333686\nAnswer: 0.09334744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1440 + 1?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68910*i + 2535159 wrt i.\nAnswer: -68910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 8:53 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -262, -691, -1508, -2857, -4882, -7727, -11536?\nAnswer: -16453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = -104*g - 1598 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 10 = -2*b. Let s = 2 - b. Sort 6, s, -1 in ascending order.\nAnswer: -1, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 37 = -30 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6665 and 1806.\nAnswer: 279930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.738453ng to micrograms.\nAnswer: 0.000738453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 83 times -3\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 2088*w**2\/7 - 70200*w\/7 + 584064\/7.\nAnswer: -2*(w + 78)**2*(7*w - 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6987 by -51.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + 3 + sqrt(4)\/sqrt(2))**2.\nAnswer: 6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6713 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x - 9*x - 3*x.\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m - 20 = -38*m. Solve -m = -5*f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d + 24*d + 23*d - d to v + r*d and give r.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1666681.5 * 7\nAnswer: 11666770.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -21*q**2 + 9*q - 9. Let l = -846 + 863. Let v(w) = 40*w**2 - 4*w + 2*w + l*w**2 + 2 - 52*w**2. Let h be (0 + 1)*(1 - -1). Give h*g(c) + 9*v(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 8 - 9) + 2 + (-7 - -16)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*j*r - 73*h**2*p*r - 135*h**2*p + 104*h**2*r + 2*h**2 + 4*h*j - 2*h*r + 3*j*p wrt p.\nAnswer: -73*h**2*r - 135*h**2 + 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/106)\/(10\/8*(-87)\/(-435)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from abbabbaaabaa.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-56))\/(((-6)\/7)\/2).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798 = -6*x - 804. Let k = -647\/14 + 93\/2. Is x less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - 48\/(-9). Suppose s*q - 15 = 15. Suppose -172 - 178 = -q*i. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3625 and 3.2.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q**2\/4 + q - 3\/4 = 0.\nAnswer: -1, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 157 - (-4 - -7). Let m = -120 - i. What is the second derivative of -55 + 55 + 26*g**2 - m*g wrt g?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/2*-2 - -30. Let c be ((-21)\/(-28))\/((-1)\/(-56)). Calculate the highest common divisor of t and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2807 in -3\/7, 2, 0.026, 1\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 96 - 852 = 0. Let s = z - 61. Let r(u) = 4*u**2 + u - 1. Calculate the remainder when 37 is divided by r(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b20 + 22094?\nAnswer: 22bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47 and -4?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106 + -101. Suppose 0 = -4*s + n + 2*n + 28, z*s - 32 = 3*n. Solve -2 = b + 3*d, -s*d = 3*b + d + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -13*l**2 - 2*l - 3. Let n be (2*(-45)\/(-10) - 11) + (2 - 3). Let k(o) = -13*o**2 - 2*o - 2. What is n*k(t) + 2*c(t)?\nAnswer: 13*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -65. Let i be 5\/(-4)*b\/(-170). What is the second smallest value in i, -2\/17, -3\/4, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21, 2, -5 in decreasing order.\nAnswer: 21, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*h**3 - 9260*h + 29*h**3 + 9287*h - 11*h**2 in the form f*h**3 + l*h + n + i*h**2 and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**2\/2 + 2*h + 1. Let i be k(-2). Let z be (-1 - 0)*(-2)\/(-6). Which is bigger: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106045, -105096, -104145, -103192, -102237?\nAnswer: -101280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (362 - 1)*(1 + 0). Suppose c - 31362*b = -31360*b + 72, 3*b = c - 89. What is the greatest common factor of c and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(70)*1*-3)\/(5*sqrt(90) + sqrt(10) - (sqrt(10) - (sqrt(10) + (sqrt(90) - sqrt(10)) + sqrt(10))*-2)).\nAnswer: -3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 48 + (33 - 40) + -24\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 20. Suppose -5*z - 26 = -k + 139, 3*z + k + 107 = 0. Does 12 divide l(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p*p*p**(3\/7)*p))))\/p)**35*(p*((p**(-2\/13)*p)\/p)\/p)**(-2\/89) assuming p is positive.\nAnswer: p**(-138836\/1157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 17}. What is prob of sequence hahh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 4*x + 3. Suppose -4*l = -9*h + 10*h - 19, -3*l + 5*h = 3. Let s(y) = -3*y**2 - 3*y - 2. Give l*g(c) + 5*s(c).\nAnswer: -3*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 259391227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4005858 - 248356687\/62. Let h = q - 105. Is h < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*p - 4*g, -2*g = 5*p + 3 - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111192?\nAnswer: 2, 3, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**4 + 2*g**4 + 0*g**4 + (3*g**3 - 3*g**3 - g**3)*(4*g - 2*g - 4*g) + (-78064 + g**2 + 155253 - g - 78226)*(g**2 - g**2 + 2*g**2).\nAnswer: 3*g**4 - 2*g**3 - 2074*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -1 + 2 + 0. Let v(k) = k**3 - 14*k**2 - k + 16. Let t be v(14). What is the highest common factor of j and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2\/11 - 795710*b\/11 - 10344568\/11 = 0.\nAnswer: -13, 397868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-890)\/(-1050) - 3\/((-42)\/(-10))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21962464487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*p - 97*p - 21*p**3 - 14*p**2 + 274*p - 80*p.\nAnswer: -21*p**3 - 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 263777, -4, 3, -2 in descending order.\nAnswer: 263777, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (15 - (15 + -1 + -17)) + -6 + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**5\/20 + j**4\/4 - j**3\/2 + j**2\/2 + 23*j + 2. Factor o(n).\nAnswer: -(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13*s - 1. Let u(x) = x + 1. Calculate t(n) + 2*u(n).\nAnswer: -11*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3262*f**2 + 749*f**2 + 556*f**2.\nAnswer: 4567*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 41 (b) 2\/15 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 31 - 9*r**3 - 19*r**3 + 5*r + 105 + 0*r.\nAnswer: -28*r**3 + 5*r + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16204849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -16. Calculate the highest common divisor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, 59954, 1\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2569501693?\nAnswer: 11, 41, 5697343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 34484*k = -34485*k - 1, -5*l + 3*k = -3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 12*p**2 - 17*p + 16. Determine h(-13).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -16. Suppose -u*j - 10 = -10*j. Solve y + 20 = -5*r, j*y = -3*r - 0*y - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -142 (c) 17 (d) -3\/14 (e) -544\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.16 - -17.16. Let z = f + -17.4. Let r = 2.2 - 2. Sort z, r, 0.\nAnswer: z, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 11:03 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -439 + 441. Suppose -q = -5*r + 85 - 37, 5*r + l*q = 54. What is the remainder when 147 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 16\/((-28)\/(-20) - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -974.\nAnswer: -1948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12caaa5 (base 13) in base 3?\nAnswer: -102011120112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/311516729 and 62\/172077.\nAnswer: 934550187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 s when three letters picked without replacement from msspsspssrm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3403 + -3387. Let p(x) = -32*x + 3*x - 1 - 35*x. Calculate the remainder when p(-1) is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/10)\/((-3)\/(-15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -148*g**2 - 19*g + 4. Let v(u) = -76*u**2 - 10*u + 2. Calculate -3*f(o) + 5*v(o).\nAnswer: 64*o**2 + 7*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3421, -3415, -3411, -3409, -3409, -3411?\nAnswer: -3415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n + 64. Let i be 10 + -4 + -2 - (-4 + 0). Let x be k(i). Is x smaller than 2\/201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124 and 154.\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-5))\/((-7)\/((-210)\/(-18)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19531 is divided by 334.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32002 (base 4) to base 10.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -724 + -5?\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.46 + 0.04. Suppose 5*r - 4*t = -9*t + 20, t = r - 4. Let n(g) = -6*g + 27. Let p be n(r). Put p, q, -1\/10 in decreasing order.\nAnswer: p, q, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 124, 156, 198, 250, 312, 384, 466?\n\"Answer: 5*v**2 + 17*v + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -132*n - 1346. Give x(-7).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1667*x + 1627*x = -160. Let b be (4\/(-8) - -1)*20. Let v be 5\/2*32\/b. Solve -16 = 4*w - x*n, -n - 2 = -3*w - v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3247\/6 - 538. Let n be 0 - -3 - 69296\/23096. Let j = 291579\/23096 - n. What is the common denominator of v and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -443*g - 477*g + 990*g in the form s*g + i and give s.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -208.063 - -209. Let w = -0.137 + l. Let y = 0 + -1. What is the closest to y in 2, w, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let v(j) = -3*j**2 + 21*j - 6. Let w be v(4). Let k be 18\/w - 3\/15. Which is the biggest value? (a) k (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56 and 86046384.8.\nAnswer: 86046440.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 3}. What is prob of picking 3 w and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-8))\/(2365\/1892)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 - -10033?\nAnswer: 4331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5053438361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -45*i - 615. What is t(-12)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 443376 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/21*-70 + (-2)\/(-3). Let a be (-16)\/u*(2 - 11). Solve -2*n - a*n = -40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*w**2 + 77*w**2 + 269*w**2.\nAnswer: 729*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 at least as big as 256\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-1 + (-2)\/(-3)). Let v be o\/2*(-12)\/(-2). Suppose v*s - 162 = -x, -5*s - 3*x + 259 = -5*x. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6169.557 - 6278.557045. Let c = o - -109. What is c rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 68\/(-6) + 16\/(-24) + 0. Is (g\/(-8))\/(6\/15172) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:05 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 6*c**2 + 3*c - 34. What is d(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001172624 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12351555 (base 6) in base 2?\nAnswer: -1100010100000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Suppose 4*b - b + 198 = g. Round b to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -5, 1, -79 in descending order.\nAnswer: 4, 3, 1, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 710257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) + (-44)\/12. Let s = -6 - d. Is 23\/s*(-7 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8)\/(239\/(-195024)*17)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2402*k**2 - 3*k - 2. Let n be j(-1). Suppose -2*s + 381 = -5*w - 814, 0 = 4*s + 3*w - n. Suppose -35*z = -31*z - s. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 97 and 583358?\nAnswer: 583358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458329.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10 = 0, n = -2*d - 3 + 5. Let a be n - ((-2)\/(-2) - 1). Let y = a - -15. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8582 (base 10) to base 14\nAnswer: -31b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - o - 1 + (3 - 2 - 3)*(o - 5*o + 5*o) - o + o + o - 3*o - 3*o + 5*o + (-2 - 1 + 2)*(-3*o + o + 0*o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*q**4\/2 + 317*q**3\/2 - 184*q**2 - 6*q = 0. Calculate q.\nAnswer: -6, -2\/63, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 - 5) + -1 + 0. What is the second derivative of 11*c**2 - c**2 - 4*c**2 + 7*c**b + 3*c wrt c?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 9*t**2 + 7*t - 1. Let k(r) = -r + 50. Let j be k(9). Suppose -9 = 4*m - j. What is p(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17668, -17791, -18130, -18793, -19888, -21523?\n\"Answer: -18*v**3 + 3*v - 17653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 22790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 38, 87, 164, 275, 426, 623?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32.4 and 1.\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1259, -2635, -4009, -5381, -6751, -8119?\n\"Answer: f**2 - 1379*f + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((-525)\/182)*(-10)\/(-4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -16, -19\/5, 1, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -d, -3*y + 5*y - d = 51. Let f = 23 - y. Solve f = 2*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) -0.04905 (b) 21 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4295 and 85450?\nAnswer: 73401550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0*i + 0 + 1\/120*i**6 + 2*i**2 + 1\/20*i**5 + 0*i**4 - 2\/3*i**3. Find b such that d(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184839 + 182955 = 6811*s for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v**3 - 7*v**2 + 178*v - 510. Calculate r(3).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8293348246 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*c*f*x**3 - c*f*x + 23*c*n*x**3 + c*n*x**2 - 33*c*x**2 + 4*f*n*x wrt f?\nAnswer: -34*c*x**3 - c*x + 4*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989031 (base 10) to base 11.\nAnswer: 61608a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 - 2. Let r = 0 + p. Let s = 0.3129 - -3.6871. Which is the third smallest value? (a) 6 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21106 divided by -289.\nAnswer: 21106\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**7\/70 + i**6\/180 - i**5\/20 - i**4\/36 - 9*i**2. Factor n(x).\nAnswer: x*(x - 1)*(x + 1)*(9*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106473302 and 988?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 times -88?\nAnswer: -5544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s + 2. Let r(i) = i**3 - 10*i**2 + 16*i + 24. Let n be r(10). Let j = 186 - n. What is x(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 668730254 to the nearest integer?\nAnswer: 25860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 31 + 5 - 13*o - o**2 + o - 2. Let l be k(-15). Which is smaller: l or -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3 + 535775*c**2 - 1071546*c = 0.\nAnswer: 0, 2, 535773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51144 = 642*t + 22686 for t.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 342 (base 8) to base 5\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 10:16 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -18. Which is the closest to r? (a) -0.4 (b) 3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*g + 385*g = 36. What is the biggest value in 3, g, 0.6, 0.01?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 229.8 - 229.8. What is the third biggest value in 8, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + -13 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 102213 (base 4) to base 9\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*y - 10 - 1, -y + 15 = -f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 91*o - 2. Let f(b) be the second derivative of 1\/12*b**4 + 0*b**2 + 117*b + 0 + 0*b**3. Calculate i(f(d)).\nAnswer: 91*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -10, 2, -2 in descending order.\nAnswer: 8, 2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/99*(-11)\/(-3)*7*3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 618\/(-412)*4\/21. Let u = 4 - 4.08. Put 0.5, u, k in increasing order.\nAnswer: k, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9465 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 321\/9 + 1\/3. Suppose h + 2*h - k = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18511945?\nAnswer: 5, 3702389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k + 349. Let h be t(48). Put -3, 5, 1, h in decreasing order.\nAnswer: h, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1404*n + 10301 - 24466 - 89731 for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v**2 + 7*v. Let x(r) = -r**2. Let p(n) = o(n) + 3*x(n). Let b(f) = -3*f**2 - 2*f. Determine 7*b(l) + 2*p(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157 + 593. Let c be (-6)\/27 - v\/(-18). Suppose -2*f + 94 - c = 4*z, -5 = z - 4*f. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8288175 is divided by 1221.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 6. Let u = -49 + 70. Suppose -5*v + u = -8*v. What is w(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + c**2 - c**2)*(-c + 5*c + 0*c)*(-59*c - 664*c - 98*c)*(1 + 4 - 6).\nAnswer: 6568*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 - 2*o**3 + 5*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4433 and -0.007?\nAnswer: -31.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 16 in decreasing order.\nAnswer: 16, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 2*(sqrt(11) - (sqrt(11) + sqrt(11)*-1)**2) + 2 + sqrt(44)\/sqrt(4).\nAnswer: 2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 3*b + 39. Let a be u(0). Calculate the greatest common divisor of 65 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - v**2 - 1. Suppose 3*q + 2 = 4*q. Suppose 3*s = -w + 9, s - 10 = 4*w - q*w. Suppose -s*u = -2*f - 16, -3*f - 4*u = -0*f - 6. Give h(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.974 rounded to 1 decimal place?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 8*k**2 + 14*k + 32. Let t = 15717 + -15726. Give x(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-12))*t**(-5\/7))**(-6\/11))**(-1) assuming t is positive.\nAnswer: t**(474\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (7 - (1 + 9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73465 is divided by 9177?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(30) - sqrt(750)*-1)*-6)\/(4*2*sqrt(216) + sqrt(216) + sqrt(216)).\nAnswer: -9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-2)\/(-18))\/1*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12903\/2277*60\/(-10540)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 70\/(-15) + (-1)\/3. Let g be -249*(i\/(-3))\/(-5). Let c = -44 + g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from {o: 1, i: 2, f: 1, k: 3, p: 3, j: 1}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Suppose m*z - 102 = -z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83780 and 2130?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5931\/10 - 593. Sort w, 0, 0.4, -1 in descending order.\nAnswer: 0.4, w, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 603*v + 2400*v**5 - 6308*v**2 + 0*v + 6307*v**2 wrt v.\nAnswer: 144000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-134)\/469 + 4\/14. Let r(n) be the third derivative of -1\/30*n**3 - 1\/60*n**4 + 0 + 7*n**2 + s*n - 1\/300*n**5. Factor r(t).\nAnswer: -(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1561?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -524302*r**2 - 2*r**3 - 89*r - 33*r - 5 + 524300*r**2 + 2*r**4 in the form w*r**3 + l + q*r**4 + d*r + a*r**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -33*l - 144. Let q(f) = 2*f**2. Calculate i(q(r)).\nAnswer: -66*r**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 11 - 220. Let g be 2070\/7 - (-22)\/z. Let b be (-3)\/(-2) - (724\/g - 1). Is b less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16770 and 70434?\nAnswer: 352170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*(6 + 4). Suppose -h + 4*d = -18, t*h - 5*d - 30 = -0*h. Suppose -8 + 440 = h*p. Is 41 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 4*o - 2*o)*(3*o + 2*o - 3*o) + 12*o - 6*o**2 - 12*o + 245*o - 245*o + 71*o**2 as y*o**2 + z*o + m and give y.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 3*y + 1. Let u be (-16)\/(-10) + 2\/5. Let h be g(u). Suppose h*t - 7 = q, -4*q = -0*q - t - 16. Solve -5*o + 7 = z + 26, -5 = -q*z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93*n - 1931 - 131*n + 36*n - 3*n**2 + 117*n**3 wrt n.\nAnswer: 351*n**2 - 6*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 + -42. Let q = 39 + w. Let k(y) = -4*y**3 - y**2 + y. Let f be k(1). Which is the nearest to 1\/4? (a) f (b) q (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 5*r + 0*r)*(-2 + 1 + 0) + 12*r + 14*r - 10*r + 0*r + r + 0*r + r - 3 + 3 + (-r + 3*r - r)*(3 + 0 - 1) + 10 - 10 - 3*r as c + n*r and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 85 - 93. Solve -h + r*h = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 8392\/29101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1246182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-3) - (-4)\/6. Let i(l) = 3*l - n*l + l. Let z(c) = 2*c. Determine z(i(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -47474239 less than 8179?\nAnswer: 47482418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200 - 196. Solve l*r = 3*o + 7 - 4, -40 = 5*o + 5*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*j**2*v + 195451*j**2 + 31380070*j*v - 2*j wrt j?\nAnswer: -38*v + 390902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -35*(-6 - 369\/(-63)). Let c = -53\/76 + 5461\/1292. Is v != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**19*n**(-11))\/((n\/(n*(n**(-31)*n)\/n))\/n**(2\/99)) assuming n is positive.\nAnswer: n**(-2275\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 905 - 450. Let j = 455.1 - k. What is the third biggest value in -4, j, 4\/3, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 79*v = 78*v - 37, -5*l = -3*v - 31 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5)*-1) + 1 + -1*(3 + sqrt(13)*-1) + -5*(sqrt(637) + -1 + -4 - sqrt(637) - 2*(sqrt(637) + -1)).\nAnswer: 13 + 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 945744 to the nearest ten thousand.\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m\/(m\/(m**(-1)*m*m))*m)\/m*m*m*m*m**1*m**(3\/4)*(((m*(m*m**6*m)\/m)\/m)\/m)\/m*m assuming m is positive.\nAnswer: m**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = -0*h. Suppose 0 = -3*c - 2*s + 18, -h*s = -3*c - s + 18. Solve 3*v - 3*p + 5*p + 15 = 0, 5*v = 3*p - c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.798684 rounded to the nearest integer?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 2. Let z = 0.9 - -0.1. Put q, z, 3\/5 in descending order.\nAnswer: z, 3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(26\/9)*c*c\/(c\/(c**33\/c)) assuming c is positive.\nAnswer: c**(323\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 14. Let g be q(11). Let y be 0 + 9 + g\/(-3). Let i be y\/((-8)\/(-2)) + 16. What is the highest common divisor of 198 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40264560 divided by 63912\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35459, 70931, 106403?\nAnswer: 141875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m\/((m\/(m\/(m\/m**(-3))*m)*m*m*m)\/m))\/((m\/(m\/(m\/(m*(m*m**(3\/10)*m)\/m))))\/m**(-1\/5)) assuming m is positive.\nAnswer: m**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 37*w + 18. Let f be a(-18). Let d(b) = b**2 + 2*b + 46. What is the tens digit of d(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-6) + 2 + -3. Let m = -4 + 3.7. Let k = m + 0.3. Put k, 1, a in increasing order.\nAnswer: k, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 3 - 20)*(q**2 - 3*q**4 - q**2) + (2*q**2 - 2*q**2 + q**2)*(q**2 + 3 - 3) - 2*q**4 + 4*q**4 + 0*q**4.\nAnswer: 114*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8618 (base 10) in base 16?\nAnswer: -21aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -4. Suppose -x = -2*t + 79. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -5*m + 2*v, -195*m - 2*v = -194*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**4\/8 - q**3\/2 + q**2. Let y be i(-2). Suppose -v = -4*v + y. Calculate the greatest common divisor of v and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7469, 7467, 7465?\nAnswer: 7463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.82997 times 300\nAnswer: -548.991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -170107 + 0*f**2 - 2*f**4 + 2*f**3 + 170106 + 2*f**2 in the form j*f + a*f**4 + r + p*f**3 + x*f**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20361, -40731, -61109, -81495, -101889, -122291, -142701?\nAnswer: -163119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p = -6*p - 3842. Let l be ((-6)\/(-21))\/((-4)\/(1 - p)). Solve -a - 12 = -l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*1*-2 + sqrt(70) + 6*-1*sqrt(70))\/(sqrt(60)\/((sqrt(72)*-1)\/sqrt(12))).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 6*w - 4*w**5)*(0 - 2 + 1 + (3 + 3 - 5)*(12 - 181 + 17)).\nAnswer: 612*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -2*x**2 - 8*x - 7. Differentiate y(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/2 + (-37)\/(481\/(-65702)) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t + 56. Let f be p(-8). Suppose 50*b + f = 54*b. Differentiate -4*v**2 - 8*v**b - 32 - 2*v**2 - 4*v**2 with respect to v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.234*59\nAnswer: 13.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2, 243, 4, -0.5 in ascending order.\nAnswer: -16, -0.5, 2, 4, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 5. Let s = -25 + 30. Calculate d(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*d - 13 = 13*d. Sort d, 2.6, -2\/5, -0.027 in descending order.\nAnswer: 2.6, -0.027, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3841 is divided by 226.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)\/h*(h**(-1\/14)\/h)\/h*(h**(2\/3)*h)**(-15\/4))**(4\/31) assuming h is positive.\nAnswer: h**(-401\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/36, -1025\/4 in ascending order.\nAnswer: -1025\/4, -4, -1\/36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*z - 52 + 731, -501 = 3*s + z. Let q = s + 73. Let f = q - -95. What is the third smallest value in -9, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -628 - 116. Suppose 3*u = 5*c + 66, 4*u + 2*c + 0 = z. Solve m + 2 = -j - 0*j, 0 = 5*m - 2*j + u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(4\/14)\/(2*24\/(-588)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*s**2 - 6 + 3*s**2 + 2*s**3 - 5 wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 6*p**2 - 7*p + 1. Let n be g(4). Let h be -4*((-3 - -7) + n). Let w = 110\/3 + h. Is 0.46 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(30)\/sqrt(490) - (sqrt(24) + (sqrt(168)\/sqrt(7) - sqrt(24)))\/sqrt(8)))**2.\nAnswer: 1728\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 6*d**2 + 4*d - 6. Let f be p(-4). Suppose f*g = 11*g - 93. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7010 divide 685541928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1448 - 979. Let x = -257 + t. Calculate the highest common divisor of x and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0158090838 to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1455 - 1392 = 7*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Let o(w) = 7*w**3 - 3*w + 3. Let u(r) = -20*r**3 - 36*r - 35*r - 8 + 79*r. Determine d*u(q) + 8*o(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3533304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -442, 5, 17665, -7, 1 in decreasing order.\nAnswer: 17665, 5, 1, -7, -442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -224764012777770.\nAnswer: -224764012777772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z = -3*u + 19*z + 23, -2*u + 4*z - 14 = 0. Let a(j) = 12*j**2 - 1. Calculate a(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 5*c**2 + 2*c - 8. Let l be i(-6). Suppose 0 = -h + 5*h - l. Suppose -b + 6 = -3*b, 0 = 5*f - 5*b - 40. Sort f, 1, h in ascending order.\nAnswer: 1, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/15 + 262*t**2\/15 + 1688*t\/3 + 12040\/3 = 0. Calculate t.\nAnswer: -86, -35, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4\/9 - 5624*x**3\/9 - 2504*x**2 + 22496*x\/9 + 90112\/9 = 0.\nAnswer: -4, -2, 2, 2816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -6. Let b be (s + 7 + -2)\/2. Suppose b*u = 19 + 33. What is the remainder when 89 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(975)*6 + sqrt(351) + sqrt(351) + sqrt(351)*-1 + sqrt(39))\/(sqrt(960)\/(sqrt(40)\/(sqrt(16)\/sqrt(2)))))**2.\nAnswer: 3757\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 1310*q**2 - 215166*q + 213858.\nAnswer: -2*(q - 327)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.043 and 183.96.\nAnswer: 7.91028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/20 - m**3\/3 + 3*m**2\/2 - 1457*m. Let s(o) = -1. What is 6*s(r) + 2*y(r)?\nAnswer: 2*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 - -65) + (-74)\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -125\/6 (c) -2\/15 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*d + 123*d - 140721328 = 80*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpmpmm. Give prob of sequence mp.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14177, -4\/7, -4 in decreasing order.\nAnswer: 1\/14177, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 12*y - 23. Let i be r(-9). What is the lowest common multiple of i\/(-5) + (-1778)\/(-35) and 6?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from fxhpe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.92 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6975 and 13941.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {t: 2, f: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (1 - 3) - -19. Suppose 3*j + 12 = 2*j - 3*q, 4*q + u = -3*j. Let b = -260\/2877 - 2\/411. What is the closest to -1\/2 in b, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/6 + (-11)\/((-484)\/(-2112))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535547 = -54*x - 535925 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3081\/52)\/((-3)\/(-56)). Suppose -a - 342 = -2*n. What are the prime factors of n?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8805 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -33.6, 12, 5\/6 in ascending order.\nAnswer: -33.6, 5\/6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**3 - 4*p**2 - 5. Let h(a) = a**3 + 2*a**2 + 2. Determine 5*h(u) + 2*j(u).\nAnswer: -3*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1.7. Let s = -0.030136 - -0.100136. What is the third biggest value in s, j, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1874.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -5. Let t = -0.2606 - -0.4606. Let i = -34 - -38. Which is the smallest value? (a) t (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*((r\/r**(-1))\/r)\/r)*(r*r**1)\/r*(((r**(-2)*r)\/r*r)\/r)\/(r*r**9) assuming r is positive.\nAnswer: r**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.9536um in kilometers?\nAnswer: 0.0000000639536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, b: 2, h: 2, w: 2}. What is prob of picking 1 w, 2 h, and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27811\/18542 - -1\/9271. What is the second biggest value in c, -3\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in decades?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 29. What is the second biggest value in 0.14, h, 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25690 is divided by 125.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:34 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 616152 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1 + 3 - 1. Let g(k) = -k + 4. Let o = 26186 + -26185. Give o*g(x) - 3*c(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f + 10. Let b(y) = y. Suppose -2*g = -5*g + 3. Let q(o) = g*l(o) - 5*b(o). Let z be q(-8). Solve -5*p + 22 - z = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 520400, 520424, 520542, 520802, 521252, 521940, 522914?\nAnswer: 524222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-7)*z)\/z)**22 assuming z is positive.\nAnswer: z**198","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 120535791941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6340338 to the nearest integer?\nAnswer: 2518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b**3 + 11*b**2 - 2*b - 11. Let h(y) = -4*y**3 + 6*y**2 - y - 6. What is -5*h(f) + 3*t(f)?\nAnswer: -f**3 + 3*f**2 - f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -725, -1984, -4089, -7046, -10861, -15540?\n\"Answer: -x**3 - 417*x**2 - x - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + 2*(sqrt(3200) - (-2*sqrt(3200))**2) + sqrt(3200) + -1 + 0 + 0).\nAnswer: -25600 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -24*d**2. Let m(v) = 3*v**2 + 65*v. What is m(n(s))?\nAnswer: 1728*s**4 - 1560*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3362\/21 + -160. What is the third biggest value in 0.1, 2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44.4 - -47. What is the nearest to -0.1 in -3, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 18)*(-4*f + 2*f**2 + 4*f)*((-1 - 3 + 2)*(3 - 3 + 2) + 4 - 3 - 2)*(0*f + 0*f + f**2).\nAnswer: -150*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4616063 (base 7) to base 13.\nAnswer: 1721c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -11*i + 17*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 l, and 1 z when three letters picked without replacement from {l: 3, d: 3, q: 1, z: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*s + 376 - 56875 = -870*s + 12101 for s.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159466 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000010000 - 110?\nAnswer: 1011000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c**3 + 4*c**2 + 4*c - 4. Let d(j) = -5*j**3 + 3*j**2 + 3*j - 3. Let n(r) = 4*d(r) - 3*x(r). Factor n(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11271989*o**2 + 4815354 wrt o.\nAnswer: 22543978*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 8. Calculate the lowest common multiple of 1*-4 + (-20)\/f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one quarters of a day?\nAnswer: 18360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 6 = 5*i. Let g be ((-3)\/2)\/(i\/(-4)). Let b(j) = j - j - g*j. Let o(s) = -2*s. Give b(o(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22086 and 6135.\nAnswer: 110430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**2 + 7*w. Let t(m) = -4*m**2 - 6*m. Let u(d) = 6*i(d) + 7*t(d). Let n(l) = -25 + 52 - 27 + 25*l. Calculate n(u(g)).\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**4 + 49*b**2*w - 34254*b*w + 7714358*w - 1 wrt b.\nAnswer: -4*b**3 + 98*b*w - 34254*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178680.\nAnswer: 2, 5, 79, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/15 (b) -1 (c) 17 (d) 25 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(35)\/(-2*sqrt(5))) + ((-2*2*sqrt(51))\/sqrt(3))**2.\nAnswer: -2*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 3, j: 4, c: 2}. Give prob of picking 1 j and 1 c.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235084.\nAnswer: 2, 58771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 11*p - 183 = 0, -601 + 454 = -3*s - 5*p for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**6\/40 + d**5\/8 - d**4\/4 - 3*d**3\/4 + 2*d**2 - 52*d. Factor z(j).\nAnswer: 3*(j - 1)*(j + 3)*(2*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -18*g**2 - 1. Suppose -4 = -2*l - 2*o, -2 = l - 210*o + 207*o. Determine h(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 11 = 11. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 28493*q**4\/12 + 2*q**3\/3 - 2*q**2 + 49*q. Let m be s(4). Round m to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41b906 (base 12) to base 15.\nAnswer: 157119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 226 + l**3 - 114.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1180*a - 3913 - 108187 for a.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*m + 2856 - 15510. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(3)*3 - sqrt(3)*1*-1.\nAnswer: 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Factor 0*k**3 - 2 - 1 + 3*k - 3*k**z + 3*k**2.\nAnswer: -3*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xggl when four letters picked without replacement from wwlggx?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3697 or -4007?\nAnswer: -4007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 506496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8820772 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x - 4*s = -36, -2*s = 2. Calculate the lowest common multiple of 2 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9*a**2 - 600*a + 70655. Determine p(-128).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -11. Let v(j) = -j**2 - 5*j + 3. Let k be v(x). Suppose -7 = -k*z + 5. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232247 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: Which is the nearest to -4\/3? (a) 1 (b) 93\/10 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 239 - -6cc?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-44)\/12 - -4)*(-89 + 2). Let o = 34 + l. Suppose -5*k + 0*k + 4 = 4*d, o*d - 4*k = 46. Calculate the greatest common factor of d and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**3 + 9. Let d(i) = i**3 - 2. Let t be (-16)\/(-12) - 75\/(-9)*2. Calculate t*d(j) + 4*z(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118\/649*(-5)\/(2940\/(-61474)) - 19.\nAnswer: 2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 1, h: 1, p: 1, t: 1, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12710 + -12702. Solve -11*l - k = -74 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2110230 - 110133?\nAnswer: -2221023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31890 is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -2\/9 (c) -0.1 (d) -24 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 26918 and 13889 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 2*p**2 + 50*p - 26. Calculate the common denominator of 47 and x(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*z - 2743 - 1268 + 1095 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -17304 and -14622.41.\nAnswer: -31926.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) 2\/9 (c) 5 (d) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 410 + -359. Calculate the greatest common factor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, 41, 190, 481, 962, 1681, 2686?\n\"Answer: 8*g**3 - g**2 + 2*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 1\/4, -10, -2\/7, -3\/8.\nAnswer: -10, -1.4, -3\/8, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 12*o - 3)*(4*o - 2*o + 4*o).\nAnswer: 72*o**2 + 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.4955 micrometers in meters?\nAnswer: 0.0004324955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -2*h**7\/105 - 209*h**6\/180 + 221*h**5\/30 - 75*h**4\/4 + 227*h**3\/9 - 2391*h**2. Factor j(m).\nAnswer: -2*(m - 1)**3*(6*m + 227)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3690 and 410?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - b = -4 - 42, -4*u = -b - 42. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63\/2 + -32. Let b = 1542 + -1541.7. What is the nearest to -1\/2 in b, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Let f be 266\/6 - (-8)\/12. Suppose o + f = 6*o. Solve -o + 28 = 4*a - 3*x, -a = -y*x - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 470 and 280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/16 + (-614)\/(-8). Suppose 21*c = 25*c - k. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 1 - (-5 + 112\/20). Let f = -0.22 - -0.02. Which is the third biggest value? (a) y (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d. Let a(z) = 5*z**2 - 6*z - 37. Let c(l) = 14*l**2 - 17*l - 111. Let j(n) = 17*a(n) - 6*c(n). Calculate o(j(h)).\nAnswer: -2*h**2 - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = 75 - 120. Let f(o) be the first derivative of -1 + 0*o - 6*o**2 + 7\/3*o**p. What is the second derivative of f(n) wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/10)*y**(-24)*y\/(y\/y**40)*y*y**(-2\/33)\/y assuming y is positive.\nAnswer: y**(5227\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**4\/48 + 49*s**3\/24 - 47*s**2\/4 - 2*s + 1330. Factor x(h).\nAnswer: -(h - 47)*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -1\/8, -76, 14?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, u: 2}. What is prob of sequence uru?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70171 and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*c**3*h**2 - 244*c**3 - h**2 wrt h.\nAnswer: -64*c**3*h - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256436 is divided by 3796.\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111110010002 - -10?\nAnswer: -111110002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000837215 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*o*w**2*y**3 - 2*o*w**2*y + 4*o*w*y - 6*o*w + o*y**2 - 2*w**2*y**2 - 3*w**2*y wrt y?\nAnswer: 120*o*w**2*y + 2*o - 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7.2+32\nAnswer: 39.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.5 (b) -2 (c) 0.07 (d) 1.014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -f + 5*v, -13 = 5*f - 2*v - 87. Find the first derivative of -f*s + 16*s - 3 + 3*s**2 wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 - 22*j**2 - 544*j.\nAnswer: -2*j*(j + 48)*(j + 51)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 323953?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 62\/((-4 - -1)\/(-3)). Suppose -h = -6*o - 14. Solve -2*i - 2 = -o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 - 114103?\nAnswer: -114123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4 + 0 - t**2 + 1 + 1 - 3*t. Let m be r(-1). Suppose m*n = -3*n + 12. Solve v = n*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3411954?\nAnswer: 2, 3, 7, 13, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155135519 to the power of 1\/3, to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19878162 by -42657.\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -3*c + 44. Let j(n) be the first derivative of n**4\/4 - n**3 - 2*n**2 + 6*n + 1. Calculate j(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 670 and 180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t + 616 - 2693 = 0. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 - 0.03. Let h = u - 0.02. Let t = h + -0.1. Which is the nearest to t? (a) 3 (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.34202 and 0.18.\nAnswer: 0.0615636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17917 = 367*d + 576*d for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4621 is divided by 243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7892?\nAnswer: 2, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 11*k**2 + 13*k + 8. What is the least common multiple of 14 + -1 - 6\/2 and n(12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 9*q**2 - 2*q**2 + (4 - 3 + 0)*(-27 + 27 - 8*q**2) + (0*q + 0*q + 2*q)*(-q + 1 - 1) to s + x*q**2 + h*q and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*r + m + 97732, -3*r = -4*m - 73271. Suppose -15*o - r = -18*o + 4*k, -3*o + 2*k + 24429 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1694*w**3 + 4*w**2 - 6*w + 1. Is r(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475*b**2 - 736*b**2 - 784*b**2 - 780*b**2 + 2859*b**2.\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 296256 and 1764.\nAnswer: 43549632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028831 rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 2523.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggzggghc. Give prob of sequence cz.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2852215487?\nAnswer: 11, 23, 11273579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97.88 or -930?\nAnswer: -930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 68 = 2*v, 0 = 284*c - 280*c - 5*v - 94. Let q(k) = -k**3 + 15*k**2 + 18*k + 8. Give q(c).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 2. Suppose -f*q = -7 - 5. Suppose -10*r + 8*r + q = 0. Solve -i = -r*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -131 - -116. Which is the closest to 0? (a) n (b) 1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/40 + (-26)\/(-8). Put -5\/4, u, 2 in increasing order.\nAnswer: -5\/4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/240 and 19\/112.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 2:23 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 390 + -6628\/17. What is the nearest to -1\/4 in 5, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -19*z**2 + 803*z - 1000. Give h(41).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.837 - -97.837. Which is smaller: -2\/61 or o?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -11*i - 19*i + 7*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -51. Suppose -w + 2*m - 5*m = -3, -q*w + 72 = -4*m. What is the least common multiple of 21 and w?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 23 = -15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8926.217nm in millimeters?\nAnswer: 0.008926217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c**3 - 5*c. Let x(n) = 128 + 2*n - 39 - 56 - 33 - 4*n**3. What is 2*a(q) + 5*x(q)?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/147 and 119\/24.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12) - (-1)\/1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (2 + -14 + 30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 1)\/((-1)\/6). Let b = 20 - n. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 54*y**2 + 51*y - 110. Determine d(-53).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**6\/24 - p**5\/12 + 5*p**4\/12 - 41*p**3\/6 - 10*p**2 - 3*p. Is d(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/216*2*18\/(-4). Suppose -5*b - 1 - 4 = 0. What is the second smallest value in w, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -337744943 and -1?\nAnswer: 337744942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 6635 - 6635.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*u - 40, 4*u - 153 = 5*g - 59. Which is smaller: -158 or u?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.491202 millilitres in litres?\nAnswer: 0.000491202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (6 - (7 + -2)) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1.6 (b) -5 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1436, 11706, 39596, 93920, 183492, 317126?\nAnswer: 503636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 - 14349296*s + 86095768\/3.\nAnswer: 2*(s - 21523942)*(s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -241, 4 in increasing order.\nAnswer: -241, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19076309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, g: 5, w: 1, i: 7}. What is prob of sequence igk?\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {w: 1, z: 2, k: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 259 - 258.5. What is the closest to 0 in 0.4, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16171\/3 + -43097\/8. What is the common denominator of m and 4\/(-96)*-218 + -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**4\/4 + 9*b. Let i(f) be the third derivative of f**4\/8 - f**2. Calculate o(i(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-104)\/6)\/(14\/(-63)). Suppose 80 = 5*w + 5*k, -w - i = -5*w + 3*k. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*((sqrt(176)*-1 + 2)*-2)**2.\nAnswer: -3598 + 320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 512.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 80 = -5*o, o - 24 = -2*u + 5*u. Suppose o = 10*r - 6*r. Suppose r*q - 10 = -4*b, q - 3*b = -b + 10. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11481 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n. Let u(p) = -1324235*p**2. What is k(u(h))?\nAnswer: 2648470*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 875\/24 + -439\/12. Suppose 5*h + 4*d - 7 = 0, h = -2*h - 4*d + 9. Let p = 0.97 - -0.03. What is the closest to -0.1 in p, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -261b - -735?\nAnswer: -1cc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 m, and 1 l when three letters picked without replacement from ssmlmmmlla?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**2 + 3*t - 5. Let d be s(5). Let h = -84 - d. Let a be (4\/8)\/((-2)\/(-28)). Is h <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 83\/3*(3 - 0). Suppose -4*z = z - 5, -4*t - 3*z = -f. Calculate the remainder when t is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 190*n + 104. Let t be b(0). What is the greatest common factor of 5772 and t?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-49)*7\/4*(-92)\/6.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*p**4 + 14*p**3 + 10*p**2 - 2*p - 52 wrt p.\nAnswer: -528*p + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**2*k)\/(k\/(k**(-4)*k)))\/(k*k**(-3))**(37\/5))**(-15) assuming k is positive.\nAnswer: k**(-222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -g + 17. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2005904, -2005909, -2005914, -2005919, -2005924?\n\"Answer: -5*s - 2005899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 1923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 - -383. Let z = 237 - j. Sort z, 4, 1 in descending order.\nAnswer: 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 + 18077*a\/2 - 63294.\nAnswer: (a - 7)*(a + 18084)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 222506 divided by 348\nAnswer: 111253\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*y + 35, 0 = 5*y - 4*u - 170 + 79. Calculate the highest common factor of y and 18623.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164935983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 - 4*i**2 + 10*i - 9. Let r be m(6). Suppose 3*x = -0*x + r. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m - 2*m + 16410000. What is m rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) -4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 56, 22, -26, -88, -164, -254?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 3*x**2 + x - 3. Let m be b(2). Let k be (3 - (1 + m))\/((-1)\/2). Solve 4*f = -3*i - 6 - 16, -k*f = -5*i - 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 0.9967?\nAnswer: 10.9637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(160) + sqrt(160) + (sqrt(160) + 3*sqrt(160) - sqrt(160)) - sqrt(160))\/sqrt(4) + sqrt(40))\/(sqrt(80)\/sqrt(250)))**2.\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7272 and 1465712?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1005\/2317 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 3*h + 1. Suppose 5*x = x, 2 = 2*g - 4*x. Calculate the remainder when 2 + 21\/g - 3 is divided by t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 521623 + 1356?\nAnswer: 523201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -66 + 64. What is the units digit of ((-34)\/v)\/((-1)\/4*-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 + (-5 + 1 - (-186 + 180)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 0, -62 in descending order.\nAnswer: 3, 0, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.1 (c) 5 (d) 0.2 (e) -3 (f) 5961\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5105*q**2*u - 2701967*q**2 - 10*q*u**2 + 2*u**2 wrt u.\nAnswer: 5105*q**2 - 20*q*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4652 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 586, 886, 1190, 1498, 1810, 2126?\nAnswer: 2446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 10:34 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 13*i - 9. Let j(z) be the third derivative of -z**4\/8 + z**3\/3 - z**2. Let o(n) = -9*j(n) - 2*y(n). Let g(t) = -t. Determine o(g(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2534 divided by 2?\nAnswer: -1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 273636.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u + 120. Let g be n(-33). Let z be g\/(-14)*28\/8. Solve 3*h + 4*j = 9, -j - 4*j = h - z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*d)*(0*d + 2*d + 0*d) + 23*d**2 - 24*d**2 - 30*d**2.\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-2 - 5 - 4)) + -2 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 7:35 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1400 = 24*p - 14*p. Suppose 0 = -65*x + 60*x + p. What is the remainder when (9\/6 - 2)*-106 is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 10*u**2 + 69*u + 6. Suppose -2*t = -j - 39, -4*t - j + 82 = j. What is the remainder when z(-5) is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-320)\/24)\/(-2 - 84\/(-45)). Suppose -16*y = -6*y - u. What is the greatest common divisor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 20. Suppose -116 = 4*k - q*k. Let o = 59 + k. Calculate the remainder when 89 is divided by o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(w + 1 - 1).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3 = i, -2*y + 2*i - 6 = -y. Solve y = 2*c + c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2587\/4 - -1292. Let s = -633 + q. Find the common denominator of -35\/22 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-12) - 44\/(-16). Suppose k*y - 75 = -3*d, 0 = y + 2*y + 4*d - 77. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0.3. Let v = 1.9 - y. Let o = 2 - v. What is the smallest value in -4, o, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i - 5. Let h(q) = -q + 2. Let v(f) = 3*h(f) + m(f). What is v(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -3*v - 3, 0 = 3*v + 3*n + 9. Let d(h) = -h - 2. Let y be d(v). Solve y - 4 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 828 = -1188. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26849293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 5. Let p = -272 - -360. Let d(o) = 23*o - p*o + 29*o + 2 + 30*o. Calculate d(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**2 - 33*g - 32. Determine m(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383 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: Suppose 0*a + 5*a + 10 = 0. Let c be (-9)\/a*112\/8. Suppose 0 = 3*q - 7*q + 28. Calculate the highest common divisor of c and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2481\/2*b + 3\/4*b**2 + 2051787\/4.\nAnswer: 3*(b + 827)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1))**1\/(z**(4\/3)\/(z\/z**4)) assuming z is positive.\nAnswer: z**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 23220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 167368979 a multiple of 1422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -35934 divided by 5989?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/5)\/(-64*(-132)\/7040)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6655691?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a**4 - a**5 + 0*a**2 - a + 2*a**3 - 2 + 4*a**2 - 27*a**4 = 0 for a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = z - 1. Let o(m) = -m**2 - m + 1. Let j(q) = 5*q**2 + 4*q - 4. Give z*o(a) - j(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -285441458*v**2 - 334142151*v?\nAnswer: -570882916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l - 31. Let m be h(3). Let x be 1\/(m + (-42)\/(-10)). Solve x*p = 3*k - 14 - 8, -2*p - 2*k - 12 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.02, 2870\/3, 2\/3, -2\/9, 3\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1089)\/1210*(-20)\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*g - a, 187*a + 20 = -7*g + 190*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 - 9*n - 11. Suppose 192 = 4*p + 8*p. Let f(d) = 13*d + p - 3250*d**2 + 1619*d**2 + 1625*d**2. Determine -5*f(k) - 7*v(k).\nAnswer: 2*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s + 7 = o, 0 = 2*o - 4*s - 24. Let y(h) = 6810*h**3. Let p be y(o). Round p to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 339 divided by 151\nAnswer: 339\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*s + 3*u - 149, -5*s - 3*u = -359. Is 18 a factor of (2\/(-5))\/((-28)\/s)*128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7516144?\nAnswer: 2, 461, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 1:43 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 5 - 3*q**2 + 1 + 3*q**2 + q to the form x*q + b*q**2 + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -2136\nAnswer: -5\/712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 197*g**3 + 24*g**2 - 74*g - 7. Is b(3) a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6914 - -0.7. Round a to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Suppose -3*w + 14 = -d*w. Suppose z = m - 1, 4*m - 1 = 3*z + 5. Calculate the highest common factor of z and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15, 0, -6 in ascending order.\nAnswer: -6, -5, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - 7)*((-16)\/((-208)\/65) - (-42)\/(-8)).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (sqrt(208) - (sqrt(208) + 2)**2) + sqrt(208) + 5 + (sqrt(208) - -3*sqrt(208))*4.\nAnswer: -207 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*x + 114. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 476\/34 + -87*14\/42?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106891 divided by -1.\nAnswer: 106891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h + 3. Let s(l) be the second derivative of -2\/3*l**3 + 0 + l**2 + 89*l. Calculate -6*q(m) + 10*s(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176 + -83. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 440526?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2574, -10282, -23092, -40974, -63898, -91834, -124752, -162622?\n\"Answer: 5*g**3 - 2581*g**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/9, 5, 0.4, -59 in decreasing order.\nAnswer: 5, 1, 0.4, -2\/9, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8737, -71786, -242921, -576184, -1125617, -1945262?\n\"Answer: -9007*j**3 - j**2 + 3*j + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p + 6*p - 343992 = 18*p. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 7. Let q be y(0). Let j be 2*9\/3 + -3. Suppose -j*v + 3 = -0. What is the greatest common divisor of v and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**5 + 3104*h**4 + 90420*h**3 + 670840*h**2 - 427744*h - 7448064 = 0 for h.\nAnswer: -746, -16, -13, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 31 = 5*d, u + 3 = -0*u. Let y be ((-3)\/2)\/(-3)*(15 - -13). Solve -4*n + 8*n - y = -2*r, d*n - 22 = 2*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8112 - 1167. Suppose 1755 = i - l. Round i to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6992, -13947, -20866, -27749, -34596?\nAnswer: -41407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 4*p + 23, 3*d + 3*p - 9 = 0. What is the remainder when 25 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 + 3. Let y(k) = -1. Suppose 0 = -80*s + 96*s - 32. What is s*u(x) + 6*y(x)?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.77 + 0.77. Let s(u) = 11 - 3*u - 8 - 3. Let k be s(3). Are k and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 6353271 = -2836663. Let n = d + 258918. Round n to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - (0 - (-1 - 4)). Suppose g = -238*a + 241*a. What is the common denominator of -97\/6 and 24\/(-6) - (-262)\/60*a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12000 - -22221?\nAnswer: 10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 11. Let l be s(5). Sort l, 3, -5 in descending order.\nAnswer: 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 17451.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*a + 5, -q + 35 = -5*a - 13*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 1 (b) 16 (c) -3 (d) 0.6 (e) -138\/13 (f) -1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1584) + -1)*-6.\nAnswer: -6 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - k**2 - k + 1. Let h(x) be the third derivative of -x**5\/30 - x**4\/12 + x**3\/3 - 4*x**2. Let s = -24 - -22. Calculate s*h(u) + 4*b(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -60*i - 115. Suppose -4*n - 12 = -2*g - g, 5*g + 32 = -2*n. What is the tens digit of r(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 18. Suppose h = 3*i, -2 - 10 = -3*m + i. List the prime factors of (-316)\/(-16)*m*3.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1745815 by 25.\nAnswer: -349163\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 44*a - 48.\nAnswer: 4*(a - 1)*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 49*k - 37. What is the units digit of m(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -19 + 19 + 7 + 0. Let r = -42 - -77. What is the greatest common divisor of r and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*r - 512, -18*r + 4*n = -17*r - 268. Let h = 248 - r. Let i = -11\/9 - -14\/9. Which is the smallest value? (a) -2\/7 (b) h (c) 0 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*a + 3 = 0. Let n(c) = -2*c**2 - 2*c**2 + 5*c**2 + 21 - 15. Let q be n(0). Solve -a*p = -x + q, 0*p + 3*x + 24 = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9229 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = -k + 6, 2*n - 18 = -5*k. Let r(b) = 7 - 2*b + 5*b - k*b. Is r(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -16*z**2 - 8*z + 10. Let w(d) = -18*d - d**2 + 11*d + 1 + 6*d. What is f(q) - 10*w(q)?\nAnswer: -6*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1517 - -2347. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 = 20. What is the lowest common multiple of (1 + 1 - 1)*(-5 - -27) and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/11 (b) 2 (c) -8 (d) -4898 (e) 1 (f) 5 (g) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/p**3)\/(p**6*p*p**(-4)) assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 10, 4, 3.\nAnswer: -50, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1521.\nAnswer: -5\/1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -396, -399, -412, -441, -492, -571, -684, -837?\n\"Answer: -o**3 + o**2 + o - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11.43, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13597606879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 2:45 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3 + 130*z**2 - 9413*z + 9282 = 0.\nAnswer: -182, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96102183 or -0.03?\nAnswer: 96102183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-64)*(99 + 162910\/(-1650))?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*z**2 - 60*z + 60*z)*(-92 + 92 - 48*z) + (z - 3 + 3)*(z**2 - 2*z**2 - z**2) as q + k*z + c*z**3 + n*z**2 and give c.\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21704 + 21894. Is j <= 209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 645, -0.06, 5, 1\/4, -2 in decreasing order.\nAnswer: 645, 5, 1\/4, -0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxawxaxaxww. What is prob of picking 2 a?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188349, -188255, -188099, -187881, -187601?\nAnswer: -187259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 2*p + 5. Let l be d(7). What is the second derivative of 6*q + l*q**5 + 31*q**5 - 63*q**5 wrt q?\nAnswer: 160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by -114.\nAnswer: 67\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 880*c**2 - 1891*c**2 + 1 + 897*c**2 in the form g*c**2 + x*c + f and give g.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, -13, -20, -27, -34?\n\"Answer: -7*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(30)*6 + sqrt(120)*-5)\/(-1*sqrt(1000)*4 - ((-3*(sqrt(1000) + sqrt(1000)*2) - sqrt(1000)) + sqrt(1000))).\nAnswer: sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 82, -5, 2\/5, -4 in descending order.\nAnswer: 82, 2\/5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.559 - -613.259. Let y = n - 609.560204. Let d = y + -0.14. What is d rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1331, 1, -5 in descending order.\nAnswer: 7, 1, -5, -1331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2692998 divided by 122409\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {c: 7, q: 2, m: 1, w: 1, e: 2, p: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1480 = -88*p - 424. Calculate the greatest common factor of 14 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-5))**(-27)*(p**(2\/49))**(-39) assuming p is positive.\nAnswer: p**(-8016\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -188 - 62*d**3 + 188 + (-2*d - d + 4*d)*(2*d**2 - 1 + 1) + 2*d**3 - 3*d**3 + 2*d**3 in the form c*d + p + i*d**3 + x*d**2 and give i.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (14604\/(-2160))\/(-1) + -7 and -157\/270.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**3 - 2*s**2 + 22*s + 6. Let r(a) = -5*a**3 - 2*a**2 + 21*a + 7. Let u(b) = -4*g(b) + 5*r(b). Let i be u(-5). Solve 0 = -2*z - 3 + i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -92, -5, 163 in decreasing order.\nAnswer: 163, 92, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + -103 - (5 + -18 - 71).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 3*(318 - 5). Let a = -661 - h. List the prime factors of a.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*g + 15, 3*b - 6*b = -5*g - 7. Let m(k) = -2*k**3 + 6*k**2 - 2*k + 4. Let d(h) = 2*h**3 - 5*h**2 + 2*h - 3. Give b*d(c) + 3*m(c).\nAnswer: 2*c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + y**2 + 0*y**2 + (2*y + 38*y - y)*((-y + 1 - 1)*(-1 + 2 + 2) + 12 - 12 + 6*y) in the form o*y + p + v*y**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -53.00000041. What is d rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222aa (base 13) to base 14.\nAnswer: -18842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 33 = -5*k - 2*w, 3*k + 5*w + 5 = 0. Let f = 1 + k. Is (46\/f)\/((-1)\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j + 3 + 0*j - 7*j + 12*j**2 - 1 - j**3. Let b be w(11). Let q be b\/(-7) - (-19)\/(-7). Sort 5, q, -4 in increasing order.\nAnswer: -4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 d when four letters picked without replacement from {d: 2, s: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 3\/2*l**4 - 32*l**2 + 51 + 1\/5*l**5 + 0*l + 1\/3*l**3. What is the third derivative of m(q) wrt q?\nAnswer: 24*q + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12090881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15943, 126522, 426725, 1011364, 1975251, 3413198?\nAnswer: 5420017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 617 - 441. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 18*u - 47 = 0, 4*i - 32 = 8*i + 3*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185732 = 3*w + 4*f, -5*w + 5*f = -0*w - 309530. Let z be (-2)\/7 + 477175\/w. Let j = -4\/737 + z. Calculate the common denominator of j and -17\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20520 is divided by 2906.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*w + 4*u - 2*u, 2*w + 5*u - 4 = 0. Suppose -w = 3*o, -5*r = -2*r - 2*o - 26. Calculate the greatest common factor of 48 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000540334 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3586140 a multiple of 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4599, -4578, -4555, -4530, -4503, -4474, -4443?\n\"Answer: i**2 + 18*i - 4618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*x = 128, 40*x - 42*x - 6 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 8*l - 5. Let o be t(-7). Suppose -968*f + 974*f = 120. Calculate the greatest common factor of o and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 15*a**2 - 15*a - 9. Let y = 19 + -33. Let v be i(y). Solve 4*s - 4 = 4*f + 28, 0 = v*s + f - 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d - 3674 = -42677 - 142829. List the prime factors of d.\nAnswer: 2, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*u**3*x**6 - 2*u**3*x**2 + 20*u*x**2 + 116*x**6 + 3*x + 4 wrt x?\nAnswer: 10800*u**3*x**3 + 13920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 721*o*t**3 + 107*t**3 - t**2 wrt o.\nAnswer: 721*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30733 is divided by 236?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*((sqrt(170)*1 - sqrt(170)) + sqrt(170)))\/sqrt(10).\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -r - 9, 0*r + 12 = -2*r + 3*z. Let y = r - -7. Let w(c) = 0*c - y + 2*c + 3. Calculate w(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h**2. Let v(t) = -70498*t. What is j(v(x))?\nAnswer: -29819808024*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*p - 102*p - 1692 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 559 divided by 2563.\nAnswer: 559\/2563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5.1, -28, -123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 6*h + 12. Let m be n(3). Let g be ((-6)\/m)\/(2\/(-106)). Suppose 5*d = 5*r - 37 + 287, -g = -2*d + 5*r. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4ab3 (base 12) to base 4\nAnswer: 2010213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752073033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39890216 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/10 and -91\/2681708.\nAnswer: 13408540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8749)\/(-195) - (-2)\/15 is divided by (-4)\/(-14) - 164\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -684 - 16?\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18699902647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - c + 59, -55 = -7550*g + 7553*g - 5*c for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x**2 - 21*x**3 + 16*x**3 + 9*x**2 wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61511, 61510, 61497, 61466, 61411, 61326, 61205, 61042?\nAnswer: 60831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3821*f**3 - 5*f**2 - 4*f. Let m be a(-3). Round m to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 136916100 to the nearest 1000000.\nAnswer: 137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpr when three letters picked without replacement from vevvervvvpevperrpp.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h**2 + 10*h + 10. Let c(t) = 6*t - 5*t - 2*t - 1. Let z(p) = 10*c(p) + r(p). Let l(u) = 9*u. Give l(z(g)).\nAnswer: -90*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 2*o - 1. Suppose 90 = -53*b + 62*b. Let w(u) = 8*u**2 - 100*u - 810. Let v(y) = b*d(y) - w(y). Factor v(g).\nAnswer: 2*(g + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*x + 2*x = 140, -d - 28 = -4*x. Let y be (d\/66)\/(-3) + (-38500002)\/11. What is y rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46767*g**6*n**2 + g**2*n**2 - 32*g**2*n - 2*g*n**2 + 1 wrt g?\nAnswer: -5612040*g**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Calculate -18 + -18 + -22 + 14.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -11. Let i = -28.24 - -28.44. What is the second smallest value in i, 1\/6, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a**3*t**2 - 12010203*a*t**2 + 388601*t**2 - 19 wrt a?\nAnswer: 12*a**2*t**2 - 12010203*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -47 - (26 - 25) - (-18 - -3)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 34290897.\nAnswer: 4\/34290897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 28 = -2*z, 3*z = -1108*m + 1120*m + 378 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 301958604 by -2.\nAnswer: -150979302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -502100 (base 6) to base 3\nAnswer: -1222222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -13 (b) -10\/127 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eukc when four letters picked without replacement from kkuckukwkwceve?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 3, -2, -3, -5 in decreasing order.\nAnswer: 29, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127426809?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -13, -1, 2, -158, 22 in descending order.\nAnswer: 22, 4, 2, -1, -13, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 129 = 4*r. Suppose -r + 4 = -13*v. Let g = 20 + -10. Calculate the least common multiple of g and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/1 - 3 - -5. Let v(u) = -u + 11. Let a be v(s). Suppose 5*q - 2*r = q + 342, -a*r + 9 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 - 13*c + 10. Let k be b(8). Let u(s) = -76*s - 4919. Let z be u(-66). Which is greater: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 7*w**2 - 7*w - 5. Let v be c(8). Suppose a + v*o = -51 + 259, -3*o = 5*a - 992. Suppose 4*i - 8*i = -a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-5*sqrt(108)*1)**2 - (sqrt(108) + 4*(-2 + sqrt(108)) + sqrt(108))**2) + 0.\nAnswer: -1250 + 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7297474522854 + 0.3.\nAnswer: -0.4297474522854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 216114 and 0.3?\nAnswer: 64834.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9918 - 5228. Round p to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1136.869 - 0.1.\nAnswer: 1136.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (24\/4 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 2*q - 1, -2*q + 5 - 21 = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8487143.\nAnswer: 7, 173207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -5523?\nAnswer: -5513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from {y: 8, t: 1, r: 1, c: 2, l: 6}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 + -94. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -364 and 3112.\nAnswer: -1132768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -42*h**3 - 10*h**2 + 12*h. Let f(l) = -17*l**3 - 4*l**2 + 5*l. Let s = 370 + 151. Let r = s - 526. What is r*n(c) + 12*f(c)?\nAnswer: 6*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/(4954\/(-148620))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + -4 + sqrt(125)*2 + ((sqrt(25)\/sqrt(5))**2 + 1 - (sqrt(405) - (sqrt(405) + sqrt(405) + 2))**2)).\nAnswer: 156*sqrt(5) + 2466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o + 63*o = -29*o + 5299456. What are the prime factors of o?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-26) + (-36)\/78.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/8)\/(2\/(-184)). Let c be 97*l - 3\/1. Round c to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ossoooo. Give prob of sequence soso.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 23*z**2 + 10*z - 25. Is d(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 96 = 5*s, -4*s - 5*u - 39 - 5 = 0. Let z be (-135)\/20 - (-4)\/s. Let a be (-2)\/z - (-427)\/49. What is the highest common divisor of a and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 2468?\nAnswer: 2469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 2*v + 6. Let a(k) = -40*k**2 - 36*k - 108. Let i(z) = a(z) + 18*g(z). Let u(r) = 2 - 3*r - 2. Determine u(i(p)).\nAnswer: 66*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7283 - 0.2283. Sort 4\/13, 0.2, 1, a in descending order.\nAnswer: 1, a, 4\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 4*p + 12. Suppose 2*n - p = -2*n. Let s = 3\/89 + -431\/2225. Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-90 + (-8576)\/(-96))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -95 - 231. Which is smaller: 164 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Suppose 3*i + v - 6*v = 0, -2*i = v. Solve l = w - i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18299 - 91799\/5. Let c = -61 - j. Let u = -316\/765 - -2\/153. Is c less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqql when four letters picked without replacement from qllglgqglgqllq?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 1:48 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/27, 1, 3, -3, -1?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97889 divided by -121.\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, -98341 in increasing order.\nAnswer: -98341, -10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7373 and -5?\nAnswer: -36865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.3 - 0.3. Let x = -252.2 - -239.23. Let k = x + m. Which is the biggest value? (a) k (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5 = z, 6*j - z = 18*j - 80 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/7, 17\/80, 0.1, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153411207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16764409.\nAnswer: 263, 63743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**4\/12 - 9*l**3 - 729*l**2\/2 - 28*l. Solve a(s) = 0 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979419877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19700, 41706, 66020, 92642, 121572, 152810, 186356?\n\"Answer: 1154*s**2 + 18544*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 16*z + 6. Suppose 11*u - 31 = -42. Let g(m) = m + 1. Give u*a(p) + 8*g(p).\nAnswer: -8*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 176627850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (237\/1027)\/((-315)\/(-130))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 224 and 72 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r - 5. Let p(o) = 6*o - 4. What is 5*j(t) - 6*p(t)?\nAnswer: -6*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 6:57 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 2, q: 2}. Give prob of sequence uq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 55 = -7*l. Let 0*d + 0 - 8\/5*d**2 - 12\/5*d**3 + 4\/5*d**l + 0*d**4 = 0. What is d?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.1, 2, -22\/5, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8874532 to the nearest integer?\nAnswer: 2979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/3 + 12528*y + 285518740\/3.\nAnswer: -4*(y - 14365)*(y + 4969)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 261642 in ascending order.\nAnswer: -3, 5, 261642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7d28 (base 14) to base 7.\nAnswer: 120351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 1906 - 470 = 0. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1266 - 279. Let s = p + -370. Round s to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3093 (base 12) to base 9.\nAnswer: 7233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - -865a?\nAnswer: 8632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1721, -3451, -5181?\nAnswer: -6911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*j = 253*j + 1080 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/26)\/(10\/(-8)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37337 + 37371. Solve 39*q - r*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 + 18 = -8*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3933805 divided by -79?\nAnswer: 49795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d**3 + 4*d**2 + 6*d. Let u(g) = 7*g**3 + 5*g**2 + 6*g. Let t(q) = 5*u(q) - 4*v(q). Determine h so that t(h) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12 + 1 + 0 + 13 - 8*t - 1. Calculate p(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-320)*-18 - 2\/(-4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 + 401 = -w. What is w rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16461836 divided by -23.\nAnswer: 715732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187, -379, -1919, -4919, -9865?\nAnswer: -17243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1618, 1576, 1520, 1444, 1342, 1208, 1036, 820?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(100)\/sqrt(2))\/sqrt(10) + sqrt(5) + sqrt(5) + (sqrt(5) - ((sqrt(5) - (-2 + sqrt(5))) + sqrt(5) + 0 - sqrt(5)))) + 5.\nAnswer: -5 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -911 = 359*b + 5551 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10c - -c4935?\nAnswer: c4a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2978010.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 55*b - 59*b - 7356, -5*m + 4*b + 12276 = 0. Calculate the remainder when m is divided by 349.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - c + 7. Let i(p) = -4*p**3 - 2*p**2 + 1 + p**3 + 4*p**3. Let h be i(1). What are the prime factors of q(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k\/(k*k*k**(3\/4)\/k*k))))\/k)\/k)\/k*k*k**(-7\/3)*(k\/k**10)\/(k\/(k*k*k**(-1\/2)\/k*k)) assuming k is positive.\nAnswer: k**(-175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 9:04 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 300.7 - 282. Let r = -19 + d. What is the biggest value in 3\/2, 0.04, r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0059 + -3504289\nAnswer: -3504288.9941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -16. Let j = -0.8 - -0.4. Let v = -1.6 + j. Sort -4, s, v.\nAnswer: s, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*x + 5921 - 5888 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 + 86. Suppose p = k + 2*t - 24, 4*k = 3*t + 37 + 37. Solve 2*s = -3*s - k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 38*y**2 + 6*y + 5. What are the prime factors of v(-3)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 8:26 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 736054*f - 2208161. Determine p(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*i + 257 = -3523 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*v - 1580 = -2174 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -8db?\nAnswer: 8d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-678)*(-81)\/54. Let o = c - -119\/339. Factor 0 + o*m**3 + 0*m**2 + 0*m.\nAnswer: m**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208.1011um to kilometers.\nAnswer: 0.0000002081011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 + -69. Suppose u + 3*u = 5*l + 799, -2*u - 2*l + 386 = 0. Calculate the highest common factor of v and u.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 13 (b) 5 (c) -4\/7 (d) -5 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.1202154 to two dps.\nAnswer: 6.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o + 5. Let x(z) = -4*z + 6. Let v(g) = -5*d(g) + 4*x(g). Let m be v(-1). Find the third derivative of m*r**2 + r**3 + r**2 + 0*r**3 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5100 divided by 4.\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 4*y**2 - 6*y - 1. Suppose 4*d + 5*j = 3*d - 9, 2*d - j = 15. Calculate the smallest common multiple of o(-5) and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -9) + -4 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 4*w + 3. Let a(t) = t**2 - t. Suppose 98*k = 108 - 10. Determine k*j(p) - 3*a(p).\nAnswer: -p**2 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 128, -1184 in descending order.\nAnswer: 128, 37, -1184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k**2 + 19. Let x be g(6). Let c = -345 - x. What is the closest to 8 in c, -0.2, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 310, -5 in ascending order.\nAnswer: -6, -5, 3, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*c - 18, -5*s = -2*s + 5*c + 19. What is the remainder when (-13)\/(-5) + s\/5 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2725 and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1214 - -1244 - (17 + -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2588 + -7765\/3. What is the closest to 0 in 2, 0.3, x, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*(y\/y**(-1\/4))\/y)**(-44))**30)**11)**43 assuming y is positive.\nAnswer: y**(-780450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 24. Let g(q) = -q - 4. Let t(o) = -6*g(o) - s(o). Let w(c) = -25*c**2. What is w(t(n))?\nAnswer: -225*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:12 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2020 + -123?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 15419 = -3*m - 1831, 4 = -k. Let a = 7003 - m. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 370 + -194. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 - 3732 + 3*z**2 - 3736 + 7465 + 0 + 0 - z**3 + (-4*z**2 + 3*z**2 + 3*z**2)*(-1 - z + 4*z - 4*z).\nAnswer: -7*z**3 + z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**4\/24 + 19*i**3\/3 + 61*i**2 - i. What is t(16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 4*q + 4. Let t(y) = 2*y**2 + 26*y - 25. What is the lowest common multiple of t(1) and j(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = -4*b + 20, k = -4. Suppose b*q + q = 2. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -12924 (b) 3\/11 (c) 3 (d) -4 (e) 1\/2 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 18*c**4 - 149662920*c**3 + 311096978320904*c**2 + 414796170645120*c + 138265412387328 = 0.\nAnswer: -2\/3, 4157304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -21, -2\/11, 92\/323?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r - 2*r + 3*a, -5*r + 40 = 5*a. Let x = 6 - 6. Let g = x + 0. What is the closest to g in r, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -103*f - 73. Let v be w(-1). Solve 63*i = 57*i - v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = -o + 412 + 8 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -7. Suppose 9 = -4*i + 5*c, i - 5*c + 3 - 12 = 0. Is 16 a factor of (30\/r)\/(i\/(-80))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(1008) - (sqrt(1008) + (-2*sqrt(1008) + sqrt(1008) - sqrt(1008)))*2)*-1)**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5620 - 5620.3. Which is the third smallest value? (a) -5 (b) -2 (c) -0.0458 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 0\/(0 + 1). Suppose -4*x = -d*u - 0*x + 30, x - 15 = -3*u. Solve 4*f - 6 = u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 5 - a - 4. Let v(q) = q. Let f(h) = -h - 2. Let w be f(0). Let z(o) = w*c(o) - 5*v(o). Find the first derivative of z(y) wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(((t\/((((t**(-3\/7)*t)\/t)\/t)\/t))\/t)\/t)\/t*t*t*(t\/t**6)\/t)\/(t**(-3)*t**(-2\/9))*(t*t**(-2\/27)*t**(-6)*t)\/(t**1\/(t\/(t**6\/t))) assuming t is positive.\nAnswer: t**(-1592\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -51, 268, 769, 1452, 2317, 3364, 4593?\n\"Answer: 91*a**2 + 46*a - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(2 - 3 + 3)*(13*b**3 + 13*b**3 - 21*b**3) - b**3 + 2*b**3 + 4*b**3 to q*b + k*b**2 + y + d*b**3 and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -2717\nAnswer: 6\/2717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -4*y + 10, -p + 6*y - 23 = y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -51, 2, 8, 255 in descending order.\nAnswer: 255, 8, 2, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474a22 (base 15) to base 10.\nAnswer: 3407657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -161 - -4?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8394 is divided by 221?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -495 (b) 0.3 (c) 4.2 (d) 4 (e) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5125 or -5126?\nAnswer: -5125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*m*w**3 + m - 2*w**3 + 44*w**2 - w wrt w.\nAnswer: -216*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 5*h**2 - 6*h - 2. Let q be l(-6). Let w be (34\/51)\/(q\/(-3)). Calculate the common denominator of 35\/6 and w\/3 + 1002\/(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73857 + 121*b + 73857)*(b**3 - 2*b**3 + 5*b**3).\nAnswer: 484*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*b**4 + 0 + 1\/2*b**3 - 2\/3*b + 0*b**2.\nAnswer: -b*(b - 2)**2*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1877, 7500, 16865, 29966, 46797, 67352?\nAnswer: 91625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(100\/(-32) - -3). Suppose -11*i + 7*i = c. Let r = 1\/19 - 83\/133. Which is bigger: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 79*a - 1295. Calculate t(18).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 54 + 0*u - 5*u + 5*u + u in the form f + b*u and give f.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -4894491382 to the nearest 100000.\nAnswer: -4894500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/6834 and -35\/109344.\nAnswer: 109344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 5 - h**3 + 6 + 5*h**3 + 3*h. Let w be m(-1). What is the tens digit of 87 + w\/8*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 4*j**6\/15 + j**4\/24 + 101*j**3\/3 + 144*j**2. Differentiate y(v) with respect to v.\nAnswer: 96*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 12 = 3*s + 15, 0 = 3*l + 2*s + 1. Suppose 28 = -l*i + 10. Suppose 3*p + 2 + 10 = 0. Sort p, i, 1.\nAnswer: i, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/40*(-134)\/(271752\/(-1170))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22957244 and 1316?\nAnswer: 160700708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -139379?\nAnswer: -2926959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 900040\/1 - (-11 + -4)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 3*q = -3*l + 23, 0 = l - 4*q - 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(513)*-4*-6*-2)\/((sqrt(330)\/(sqrt(11) - sqrt(11)*2))\/((sqrt(10) - (sqrt(360) - sqrt(10))*3) + sqrt(10))))**2.\nAnswer: 266333184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.24567 + -3.1.\nAnswer: 0.14567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3447a9a6 - -4?\nAnswer: 3447a9aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 1144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e925 - 109?\nAnswer: -1ea2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*t + 7*t - 59, 3*a = -12. Let x(p) = -41*p + 3. Let m(z) = -14*z + 1. Let h(l) = t*m(l) - 4*x(l). Let o be h(1). Solve 4*g - 7*g - o = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27*(-4)\/(-6) - -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5516590081 to the power of 1\/3, to the nearest integer?\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 123*o**3 - 553 + 2*o**2 - 51*o**2 + 24*o**2 + 21*o**2 wrt o?\nAnswer: 369*o**2 - 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2363.2 + -2362.9. Let z be (-3)\/(-12) + (-330)\/(-24). What is the smallest value in l, z, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 206690712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**5 - 4*p**4 - p**3 - 2*p**2 + 2*p - 4. Let h(u) = 7*u**5 - 9*u**4 - 3*u**3 - 5*u**2 + 5*u - 10. Let d(c) = 6*h(c) - 15*m(c). Factor d(z).\nAnswer: -3*z**3*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 0 + sqrt(7) - sqrt(21)\/(sqrt(12)\/sqrt(4)))**2 + -2 + sqrt(56)\/(sqrt(24)\/sqrt(3)))*-3.\nAnswer: -21 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 611 and 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20933 by 11.\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1087550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.9935 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxxxdxxxxxx.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15214922, -30429848, -45644776, -60859706, -76074638, -91289572, -106504508?\nAnswer: -121719446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**5 - 6*f**5 + 3*f**5 + (-2*f**2 + 2*f**2 + 2*f**3)*(-67 - 8*f**2 + 67).\nAnswer: -15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + r**2 + r. Let u = 0 - 0. Let z = u - -2. Suppose -4*w - 15 = 3*b - w, 13 = -5*b - z*w. Let o(q) = 2*q**2 + 2*q - 1. What is b*o(h) + 2*f(h)?\nAnswer: 2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*j - 22. Let s(r) = r**3 - 19*r**2 - 18*r - 20. Let c be s(20). Suppose -2*a - 3*a + c = 0. Calculate the lowest common multiple of j and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**6\/6 - 4*t**3\/3 - 9. What is the third derivative of h(j) wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -484 + 500 + (-27 - 0) + -14.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtww when four letters picked without replacement from {w: 10, t: 9}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 h, and 1 w when three letters picked without replacement from vdddwvdvdhvvwdvdv?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -22567*b**3 - 2*b**2 + 3*b + 5. Is o(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93380*q**3 + 2*q**2 + 331298.\nAnswer: 560280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -179 and -1?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + -d?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*1)\/sqrt(6) + -3 - ((sqrt(13) - sqrt(13)*3)**2*-2 - sqrt(117)*-6)) + 4.\nAnswer: -17*sqrt(13) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413 = 603*i - 610*i, -4*l - 3*i + 169 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 1944?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-6 + 5\/1). Find the common denominator of 30\/(-225) + 23\/r and -10\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 5:37 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 12 = -3*x. Let k = 2792 + -2790. Let z be k - x - -2 - -1 - 9. Let n(v) = -2*v - 6. Calculate n(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 12*n**2 + 4 + 5*n**2.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*s - 939 = 0, 5*p + s - 1166 = -3*s. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1405\/8*(-9)\/((-2520)\/(-944)). Let r = o + 592. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 1:32 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/19 (b) 329 (c) -0.24 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*z - 64 - 3*z**2 + 11*z**2 - 44.\nAnswer: 8*z**2 - 72*z - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*f + 96 = -13*f + 40*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) -2\/9 (c) 4\/63 (d) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29 and 9775.\nAnswer: 283475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 91, 0.3, 0.2, 0.5, 44?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 5 + 8)*(2 - 5 + 1 - 5 + 4 + 0 + (-5 + 0 + 6)*(-5 + 4 - 1) - 2 + 0 + 3 - 131 + 14 + 229)*(-o + 3*o + 0*o) to the form k*o + j and give k.\nAnswer: 3888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -449*r**3 - 39 - 132 - 9 wrt r?\nAnswer: -1347*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -15.32.\nAnswer: -14.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1207886*y**3 + 2837*y**2 + 769*y.\nAnswer: 7247316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 - (-84)\/16. Solve 8*h = 5*h + 2*b - 1, -13 = -3*h - u*b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83597, 167193, 250787, 334379?\nAnswer: 417969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*s**2 + 6391 - 3194 - 3196.\nAnswer: 37*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 425 and 62949079?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1239 and 19116?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.84 - -7.91. Let w = i - 0.07. Let b = 3 + w. Which is greater: 0.3 or b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 14927 = 5*w - 2*w, 2*t + 4*w = 29834. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28511 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 262? (a) -138 (b) -4\/3 (c) -12 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4 = 0, 5*w = -0*w - 3*k + 37 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 5*m + 5. Let f be (15\/(-4))\/((-45)\/180). Let k = -30 + 32. Let o(g) = -k*g + 2 - 6 + 6. Determine f*o(x) - 6*d(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/9)\/s*s*s**(-9)\/s)**(-3\/28)\/(s**(-4)*s\/s**(-5\/2)*s)**(1\/18) assuming s is positive.\nAnswer: s**(65\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -56*a - 1215. Does 9 divide m(-62)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -1603\/5 (c) 2 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32959*p**3 - 98931*p**3 + 32986*p**3 + 32980*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113259\/40642 + -3\/2903. Calculate the common denominator of h and -27\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*8*(-276)\/8096.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*n + 8. Let v(c) = -2*c**3 - 4*c**2 + 1. Let h(r) = r**3 + r**2. Let k(j) = n*h(j) - v(j). Differentiate k(u) with respect to u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41180101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1422 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v. Let i(j) = -12*j. Let n(u) = 4*i(u) - 11*x(u). Let f(q) be the second derivative of -2*q**3 - q**2\/2 - 4*q - 268. Calculate f(n(z)).\nAnswer: 48*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - z = -21, 3*m = -m + 5*z + 11. What is the tens digit of (-2639)\/(-35) - m\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.14 (b) 19 (c) 2 (d) 0.2 (e) -1402\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -242 - -242.0302. Let r = 0.036 - l. What is r rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**41*r*r*r*r**24*r*r assuming r is positive.\nAnswer: r**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11616 and 539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 e, and 1 r when three letters picked without replacement from rvezvrevarzva?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1822, -1985, -2148, -2311, -2474, -2637?\n\"Answer: -163*y - 1659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, n: 3}. What is prob of picking 2 o and 1 n?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (303\/((-372690)\/(-984)))\/((-52)\/10).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {t: 9, k: 1, e: 2, v: 4, j: 3}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 126583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -2*k + 46, -2*c - 5*k + 318 = 0. What are the prime factors of c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-3 - (-3 - 2))) + 1 + 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16558688 is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 16397104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5 + 1937652*d**4 + 7750569*d**3 + 5812908*d**2 - 7750572*d - 7750560 = 0. What is d?\nAnswer: -645880, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 272458 - 657?\nAnswer: 271701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 77835?\nAnswer: 38917.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 1\/2 (c) -2\/57 (d) -2738\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 10*k - 5 = 0. Suppose 149 = k*c + 54. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = -9*u - 3*w + 8, 5*u + w = 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31351816*f**2*j - f*j + 2*f - 59*j - 11046 wrt f.\nAnswer: 62703632*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-49))\/(-10*24\/56)*132\/4?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*g**2*p*s**2 + 2*g**2*p - 16*g**2 + 17*g*p*s - 3*g*s**2 + 5*p wrt s.\nAnswer: -14*g**2*p*s + 17*g*p - 6*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, 15, 62, 133, 228, 347?\n\"Answer: 12*k**2 - 13*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -22153263?\nAnswer: 22153265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(3 - 2 - 2)*(-3 + 2 + 2)*(-3020 + 3020 + 82*l**3) in the form g*l + r + y*l**3 + h*l**2 and give y.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6765)\/44 - (-6)\/(-24). Let h(o) = -o**2 + 3*o. Let v be h(14). Is v at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/28*(-1)\/3)\/((-24)\/(-4032)*-7)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 - 2*v**3 + v**3)*(6*v + 4*v - 36*v) + (v - 6*v + 9*v)*(v**3 + 0*v**3 - 3*v**3) + 1 - 1 - v**4 + (-2*v**3 + 0 + 0)*(-3 + 3 - 2*v).\nAnswer: 47*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-72)*-6)\/(-2 + -5). Sort v, 1, -4, -3 in decreasing order.\nAnswer: 1, v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 9 - 4)*(-2*f + 0*f + 0*f)*(1 - 1 - 2*f**2).\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/(-377) + 132\/182?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 1192740?\nAnswer: 7156440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 29*m. Let j(h) be the third derivative of -h**5\/30 + 5*h**2. What is j(b(w))?\nAnswer: -1682*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1439 (base 11) to base 4\nAnswer: 131001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 - 2*y**2)*(-25*y + 59*y + 20*y)*(5*y**2 + y**2 - 4*y**2).\nAnswer: -216*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 5*r**2 - 5*r + 2. Let t be w(-4). Suppose 0*x = -3*x + t. Suppose x*j - j - 15 = 0. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1320 divided by 5\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863046 is divided by 43147.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(132) + 1*sqrt(132)*-5)\/((-2*sqrt(36))\/sqrt(3)))**2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1141, 3872, 8193, 14104?\n\"Answer: 795*f**2 + 346*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**(-2\/7)\/o)))\/(o\/o**(-2)))\/(((o\/o**(2\/7)*o*o*o*o*o*o)\/o)\/o**1) assuming o is positive.\nAnswer: o**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -55*d + 56*d + 4*i, 5*i = -3*d - 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -79, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0\/a)**(15\/4)\/(a**(-2)\/a**(-2\/7)))\/(((a**(2\/5)*a)\/a)**19*(a\/(a**(1\/4)*a))\/a*a**4) assuming a is positive.\nAnswer: a**(-867\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 31*s + 68. Let b be (110\/20 - 4)\/((-3)\/4). Let g be w(b). Solve 2\/3*v**3 - 4\/3*v**4 + 4\/3*v**g + 0 - v**5 + 1\/3*v = 0 for v.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.7 - -31.53. Let p = f + 0.17. Sort -1\/8, p, 2\/5 in decreasing order.\nAnswer: p, 2\/5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -532014052*a**3*v**2 - 1421*v**2 - 41841 wrt a.\nAnswer: -1596042156*a**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 101340.43906 to the nearest one thousand.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 28*w - 5. Determine d(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(143)*-2)\/((sqrt(66) - -4*sqrt(66))\/sqrt(6)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 19 = -4*x, -5*k = 55*x - 58*x - 23 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.13 + 31. Let t = -0.43 - o. Sort -1, 1\/7, t in decreasing order.\nAnswer: 1\/7, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axoa when four letters picked without replacement from {a: 3, x: 5, i: 6, o: 1}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 86024799 rounded to the nearest one hundred thousand?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w, -2*k + 2*w = -5*k + 10. Suppose -5*x - k*b - 27 = 0, -3 = -2*x - x + 4*b. Let h be (-1)\/x - (-1 + (-140)\/(-78)). Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**5 + 7*b**3 + 15*b**2*k + 4067*b**2 - 2*b + 16774*k wrt b.\nAnswer: -20*b**3 + 42*b + 30*k + 8134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oowoodwopooopooddpo. What is prob of picking 1 w and 1 d?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4295698 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2. Let u(p) = 24*p**2. Give z(u(m)).\nAnswer: 2304*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 11 + 90 - 118*f.\nAnswer: -118*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11221915 to the nearest integer?\nAnswer: 3350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22141, 44277, 66411, 88543, 110673, 132801?\nAnswer: 154927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74318?\nAnswer: 2, 37159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3\/273*-4)\/((-160)\/560)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4500, 4512, 4524, 4536?\nAnswer: 4548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 513404 divided by 1\nAnswer: 513404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Suppose -y*v - v = -12. Solve -v = 2*k + 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 17*i - 54*i)*(5*i - 3*i + i).\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 176 = 3*f + 3*g, 78 = 2*f - 5*g. Let w = 9 + 91. Calculate the remainder when w is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 13\/86 (c) 6\/7 (d) 3\/7 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1\/130, 2\/3?\nAnswer: -1\/130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6)*(-4 + 7). Let t be v*(-363002)\/(-22) - 58\/(-319). Round t to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.4, 0.1, 4, 1\/146?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*r - 3*r**2 + 61*r - 71*r + 2*r**2.\nAnswer: -r**2 - 59*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*g - 49, 0 = 4*k + 4*g + 53 + 11. Let d(v) = -v**3 - 15*v**2 - 2*v - 31. Determine d(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:53 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 14 = 3*d, -2*j + 7 = -2*d - 21. Let w be (-3)\/18*(-15)\/d. What is the third biggest value in -3, w, -18, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7, 4, 3, 4?\n\"Answer: a**2 - 6*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -35 + (43 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**3 + 48*m**2 + 3823*m - 3870 = 0.\nAnswer: -43, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 3:36 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 747419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from onnooowoncoconocoyo.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/6 and ((-70)\/(-8))\/((-14)\/(-70)*5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Suppose -4*x = m, 2*m - 7*m - 2*x = 0. Suppose 6*y + 18 - 48 = m. What is the third smallest value in y, -1\/4, z, -2\/21?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + ((-11 - -1) + 17 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2, 227690, 4, 2, -5 in descending order.\nAnswer: 227690, 4, 2, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8886838 <= 8886846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-168)\/132*11\/(-4). Sort 0.5, -0.2, 0.4, i, -6 in decreasing order.\nAnswer: i, 0.5, 0.4, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -451 - -457 - (-1 + -41)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 4:33 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 64*b**2 - 2*b + 2. Let f(r) = -65*r**2 + 3*r - 3. What is 6*d(m) + 4*f(m)?\nAnswer: -6*m**3 + 124*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -12. Let w = 147 + -17. Let a = -135 + w. Put v, a, -3 in descending order.\nAnswer: -3, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 14*k - 6. Determine r(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:17 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (0 - (-2 + -1)) - 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/2097 (b) 0.5 (c) 522\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**2 + 22*u + 7. Let v(k) = 2*k**2 - 7*k - 2. Give 2*i(r) + 7*v(r).\nAnswer: 2*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 2, n: 2}. Give prob of sequence gv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69118660?\nAnswer: 2, 5, 13, 265841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0 + 36. Let u = t + 18. Calculate the smallest common multiple of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2236587 - 2236437.9927. Let k = 17.2 - 166.2. Let h = w + k. Round h to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.4 (c) 2\/13699\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((5 + -2)\/(-12))\/(15 + 57\/(-4)). Which is the closest to n? (a) 0.2 (b) 0.03 (c) -214 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*c + 25*c + 28. What is the highest common divisor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.8 - 26. Let s = r + 30. Let h be (1\/6)\/((-3)\/(-12)). Which is the smallest value? (a) -1\/5 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323002313 (base 4) to base 14.\nAnswer: -641cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 2, x: 1}. Give prob of picking 1 q and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 0.2, 1\/4, 523?\nAnswer: 523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Let f(a) = 6*a - 111. Let c be f(24). Suppose 0 = -2*t - 10, -4*y + 3*t + c = 6*t. Solve -v - 3*v + y = l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = -0*l - 5*l. Suppose -5 = -5*n, 0*n - 7 = -2*x + n. Suppose -w = -3*z - l, x*z + 5 = -w + 106. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26814 divided by 6.\nAnswer: 4469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133 + 133. Let g(x) = -9*x - 2*x + 5*x - 4 + h. Let y(z) = -z - 1. What is -g(s) + 5*y(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36*1*(-4)\/8. Suppose 365*p - 363*p = 3*r + 4, 2*p = 5*r + 12. Let k(a) = -21*a. Let l(q) = 5*q. Determine n*l(o) + p*k(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1526 divide 226644572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10313.991226 - -10314. What is u rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 1 = 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6046, -12089, -18132, -24175, -30218, -36261?\nAnswer: -42304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084 a factor of 47196550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.35, -7\/6, 0.2, 1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = -130. Let g be 80\/3 + 4\/(-6). Do g and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 5*u = 54. What is the smallest common multiple of ((-20)\/(-16))\/((-2)\/(-16)) and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 10, -29 = 2*l + 5*g - 8. Let v(q) = q - 2. Give v(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 511.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3905.434 litres in millilitres?\nAnswer: 3905434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 5*k + 106, -15*h + 18*h - 82 = -5*k. Suppose -2*o + h = u + 3*u, -3*o - u = -16. Solve -j = 2*a - o*a, -a + 5*j + 18 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6890 and 104520.\nAnswer: 5539560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/9)*w\/(w**(4\/11)\/w))**33 assuming w is positive.\nAnswer: w**(239\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52 - 50 + 82)*(1 - 1 - 2*j) in the form m*j + d and give m.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.78045 * -2.\nAnswer: -3.5609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a week in minutes?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30462 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*b + 5*v + 74, 4*v = -b + 36. Let p be ((-336)\/64)\/((-12)\/256). What is the highest common divisor of b and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 - 101. Let s = -6 + 8. Find the third derivative of -3*n**s + 0*n**2 + d*n**4 - 66*n**4 - 4*n**2 wrt n.\nAnswer: -264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -154\/81?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 214969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 4*d**2 - 9*d - 2. What is q(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 + 230 + 2*m**3 + 247 - 493 to the form b + w*m**2 + r*m + j*m**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 32*t + 31. Let p(c) = -6*c - 4. Let x(l) = g(l) + 5*p(l). Calculate x(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 136306.94915?\nAnswer: 136307.14915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 50*k + 346. Let x be n(6). Which is the biggest value? (a) -3\/14 (b) -2\/23 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oouounoouuouuubooou. What is prob of sequence ono?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 19. Let q = n + -1. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71401970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204510 (base 6) in base 12?\nAnswer: -30736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/8840 and -109\/14144.\nAnswer: 70720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1274*j**2 + 215 - 112 - 339*j**2 - 103 in the form t + u*j + f*j**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -153*m**3 + 13*m**2 + 9*m. Let u(g) = -77*g**3 + 6*g**2 + 4*g. Determine -9*u(s) + 4*w(s).\nAnswer: 81*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 4:21 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-186)\/(-9))\/((-3)\/9). Let r = t - -74. Calculate the remainder when 18 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138065 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: Let u(x) be the first derivative of -5*x**3\/3 - 5*x**2\/2 + x + 28. Find the second derivative of u(t) wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 558*w**2 - 280*w**2 + 2*w**4 - 276*w**2 + 51*w to the form d*w + b*w**4 + i*w**2 + v + c*w**3 and give d.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.62 - 217.62. Let o = -207.5 - w. What is the smallest value in -1\/2, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjuxo. Give prob of picking 1 u and 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 4054*z**2 - 4054*z**2 - z + 1148614*z**3.\nAnswer: 1148614*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8582856, -8582861, -8582866, -8582871?\nAnswer: -8582876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1.72, 0.4, 3, -1, 4, -3\/2?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1860.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 335 = -323. Solve 4*c = -h*c - 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201103000 - -23003?\nAnswer: -201013331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(596*k - 37*k + 623*k + 243*k).\nAnswer: 2850*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 8*c + 4. Let d be u(6). Let f = 39 - d. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(-3*z + 2*z - 2*z) + (-7*z + 2*z + 3*z)*(-2 + 5 - 1) - 3*z + 4*z + 0*z + 13*z + z - 6*z)*(-z + 4*z - 2*z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**2)**(-30)*(((d**(-1)*d)\/d*d)\/d)**(-20))**22 assuming d is positive.\nAnswer: d**1100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times -6345?\nAnswer: -571.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129383, -517527, -1164443, -2070137, -3234615, -4657883, -6339947, -8280813?\nAnswer: -10480487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 15*x - 400. Suppose -2*b + 7*b + 25 = 0, -2*m + 5*b = -37. Calculate the remainder when q(28) is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13b9 - -2d?\nAnswer: 13e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24.5 - -0.02711519\nAnswer: 24.52711519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217602*g**3 + 138491*g**3 - 406081*g**3.\nAnswer: -485192*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 f, and 1 k when four letters picked without replacement from lkfgkgklllkggfkflkff.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*y = -790 + 1150 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 7, -3, -32\/3 in increasing order.\nAnswer: -32\/3, -3, 2\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 = 4*q + 41, -5*a - 3*q = 0. Let w(r) = -7*r + 3*r**2 - 3 + 3*r + 2*r. List the prime factors of w(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 38*a**2 + 3*a - 128. Let b(g) = 51*g**2 + 4*g - 129. Determine -3*b(m) + 4*q(m).\nAnswer: -m**2 - 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5736208 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -466, -3708, -12538, -29758, -58170, -100576, -159778, -238578?\nAnswer: -339778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -4 - (-29 + (-10 - (-7 - 10)))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82702 is divided by 79819?\nAnswer: 2883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Suppose c*q = -8 - 1. Suppose 3*z - 38 = -5*l - 11, 5*z - 23 = -l. Sort -1, q, z in increasing order.\nAnswer: q, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.052 - -0.052. Which is the closest to 0.1? (a) s (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*x + 30, 71 = o + 2*o + 2*x. Suppose o*s + 6*s + 6*s = 0. Solve s*z = z - v - 3, 3*z = -2*v - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -12 - -5) + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -15*g**2 - 1044*g + 5482. Calculate z(5).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4)*13\/(234\/(-15))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 148016079 * 3\nAnswer: 444048237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = 0, -3*o = g + 2 - 4. Suppose -g*d - 40 = -5*c, -5*c + 17 + 11 = -d. Suppose c*h = -171 + 621. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 - (-176)\/24. Let m(n) = n**2 - n - 3 - 6*n - 1. Does 2 divide m(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 0*u + 4*u)*(-89 + 4 - 55 + 36) to z*u + y and give z.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19336)\/(-16))\/((-6)\/4 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/32*(3\/5)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z = 356*z + 323 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173956.\nAnswer: 2, 157, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22169 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**3 + 5*f**2 + 5*f. Let k(d) = 4*d**3 - 4*d**2 - 4*d. What is 4*j(i) + 5*k(i)?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**2 - 2*x + 2. Determine a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (0 - (-2)\/(-1)). Solve z + 6 = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.3 (b) 1\/3 (c) -4 (d) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7278672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:09 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4391, -4380, -4367, -4352, -4335?\nAnswer: -4316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 5*c - 2. Give r(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181372073*j**2*s - 40329740*j - s wrt j?\nAnswer: 362744146*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -177 - -271. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(m + 2*m - m)*((-10289*m + 5211*m + 5314*m)*(m**2 + m**3 - m**2) - 2*m**4 - m**4 + m**4).\nAnswer: -936*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1754421 - 192?\nAnswer: 1754229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/(-45))\/(1\/35). Let x = d - 7. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 2:22 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391*5527.\nAnswer: -2161057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24741 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 + 96. Suppose -4*x = -5*q - 112 - 19, -x + w = -5*q. Suppose -l + 21 = -x. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864) - (sqrt(864) + -1*sqrt(864)) - sqrt(24))\/(3*sqrt(800)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 >= 2220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2422 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55955994.\nAnswer: 2, 3, 457, 20407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*m + m - 1390, 683 = 2*w - 5*m. Is w a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/5)*q)**12)**(-49)*q*q**(-1)*q*q**(-7)*q**(-8)\/q**(-2) assuming q is positive.\nAnswer: q**(-4764\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 345.6 + -345. Let g be 8\/6*(-127)\/(-254). What is the nearest to m in g, -3\/5, -1\/9, 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*i**2 + 0*i**2 - 2*i + 6 - i**3 + 2 + 0*i - 3 to y*i**3 + l + t*i**2 + c*i and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 416496944 a multiple of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 3*u - 15, 2240*u - 2*d = 2252*u - 22 - 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5920)\/888 - (1 + -8). Let y(n) be the first derivative of -12*n - 8 + 1\/4*n**4 + i*n**3 - 4*n**2. Solve y(m) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -5*u**2\/2 - u + 19. Let l = 143 - 144. Calculate t(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.6 + -9.519. Let h = -0.08047 + l. What is h rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + t - 24. Let z be s(-6). Suppose o - 92 = -2*v, 46 = v - 0*v + 5*o. Suppose v + 26 = z*c. What is the remainder when c is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -8*u**2 + 8*u. Let i(w) = -9*w**2 + 9*w. Let l(r) = -6*i(r) + 7*o(r). Let c be l(2). Calculate the common denominator of -99\/4 and (0 + 2\/c)*79.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/7 (b) -3 (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.2. Let y = -1 + 0. Let t = y - -0.7. What is the nearest to 1 in 3, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -474017 (base 8) to base 3.\nAnswer: -22012221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, 6, 5, 2 in descending order.\nAnswer: 100, 6, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -60715.8171 and 94489.\nAnswer: 33773.1829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:31 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 367*l + 253*l + (-4 - l + 4)*(-1 - 3 + 3) as t + x*l and give x.\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b**6 + 0*b**3 + 0*b + 9\/70*b**7 + 0 + 1\/6*b**4 - 9*b**2 + 0*b**5. What is the second derivative of w(n) wrt n?\nAnswer: 324*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(154))\/sqrt(7) - (sqrt(2662) - sqrt(2662)*-1 - sqrt(2662)))\/(1*sqrt(891)*2 - sqrt(891)).\nAnswer: -13*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 6642?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(2125\/34))\/((-70)\/(-150))*7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13316, 0, 1, -36, -5 in decreasing order.\nAnswer: 1, 0, -5, -36, -13316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.3 + 21.9. Let a = 14.2 + -14.4. What is the third biggest value in -2\/7, a, -9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o**3 + 4*o**3 + 4*o**3 + 5*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = 2. Suppose y*f = -3*b - 14, f = -2*b - 2*b + 4. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) + (-52)\/5. Let m(p) = 166414*p - 24 - 491410*p + 77 - 13. Let t be m(k). Round t to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418446 divided by -123?\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, -58, -264, -688, -1408, -2502, -4048?\n\"Answer: -13*c**3 + 8*c**2 + c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291 greater than 1291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -21151*z**2. Let x(r) = 2013*r. Give g(x(n)).\nAnswer: -85707426519*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 570 - (-6 - (-15 + 7)). What is the highest common divisor of x and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1458*(2 - (-4)\/45*-21). Factor 0 - 54\/5*g**3 - 1\/5*g**4 - 5832\/5*g - o*g**2.\nAnswer: -g*(g + 18)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/14 - (-332)\/(-2730). Let x = o - 3\/13. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79*-257.\nAnswer: 20303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 1. Let k be d(2). Solve k = -3*l + 2*z, 8*z - 3*z = -2*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 12250 = 41111. Let h = 12451 + l. Round h to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, e: 4, a: 5, r: 1, w: 1, z: 1}. What is prob of picking 1 r and 1 e?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. Let r = 0.1 - w. Let d = r - 0.3. Are d and -2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/3060 - (-41860)\/15249?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1552858, -1552847, -1552836, -1552825, -1552814, -1552803?\n\"Answer: 11*h - 1552869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7. Suppose -5*u + 4*u + 9 = m. Let y(l) = -l + 5. What is the remainder when u is divided by y(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2234.1 + -2234. Which is the closest to 2\/11? (a) l (b) 2\/3 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-3 - -10 - (9 - (-3 + -2))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23396 = 1928*m - 42156 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*w = 75 + 303 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -402*r*x*y**2 + 5*r*y + r + 2*x*y**2 - 213*x*y + x - 3*y wrt y.\nAnswer: -804*r*x + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-24))\/(9\/(-24)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, -0.1, 4\/5, 7\/6, -10 in decreasing order.\nAnswer: 4, 7\/6, 4\/5, 0.2, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 76459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = q + 5, 6*q - q = -5*y - 25. Let x(f) = 12*f + y - 10*f**2 + f**3 - 1 - 2*f. What is the units digit of x(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 - 5*a**2 + 4*a**2 - 3*a + 77 - 82. What is the units digit of z(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62278999 + 109478997. Suppose 2*i - y = -2*s, 3*i + 2*s - 19427204 - 51372794 = 0. Round i to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7437, -16565, -25693, -34821, -43949, -53077?\n\"Answer: -9128*w + 1691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004923 rounded to seven dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 5*o**3\/3 + 1145. Let m(r) = 3*r + 9. Calculate m(l(k)).\nAnswer: 15*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 14*t + 17*t - 12*t - 10*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {d: 1, q: 2, s: 1, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30277126 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 4, g: 4, h: 4}. Give prob of sequence hjh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 + -34?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*m - 3*q + 5 = -66*m, 4*q - 16 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -898, -1347, -1794, -2239, -2682?\nAnswer: -3123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 32765403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 99 + 15. What is the remainder when 112 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide (-4 - -2)\/(-1) - (2 + -1360)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 10:46 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3165661?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 13*o**2 - 14*o - 9. What is s(12)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/67, 7, -49964 in increasing order.\nAnswer: -49964, 2\/67, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1)\/24*-8\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 32. Let o be w(9). Suppose 2*l - 1 = 3*n - 7, -4*l - 5*n = -32. Suppose o*h - 45 = b - 175, -h + 390 = l*b. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 41 - 53. Let p(w) = -6*w**3 + 3*w**2 - 28*w - 3. What are the prime factors of p(t)?\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*s + 37*s + 43*s + 196*s**2 - 57*s**2.\nAnswer: 139*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287 + 215 - 662 = -8*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 10:12 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 413980\/434679*14\/12.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 461, 3897, 9623, 17639?\n\"Answer: 1145*m**2 + m - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -643\/2 and -323 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18079 is divided by 849.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 792?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 20*i - 12231 = -2*k, -3*i + 36684 = -3*k. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 183364356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 211211130?\nAnswer: -211211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(18)\/sqrt(2))*3)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 3*u)*(4*u**4 - 25*u**3 + 25*u**3) + 2*u**5 - 4*u**2 + 4*u**2.\nAnswer: 14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o + 3*a = -53*o - 29, o - 5*a - 10 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8712 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -21*w**2 + 3*w - 17. Let j(p) = -21*p**2 + 4*p - 16. Let l(i) = 3*j(i) - 4*t(i). What is the first derivative of l(f) wrt f?\nAnswer: 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 42 (c) 1\/4 (d) 0 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 283 and 284 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*319123.86.\nAnswer: 319123.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1655132 (base 7) to base 15\nAnswer: -48c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03044 minus 33?\nAnswer: -33.03044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 88*u**2 - 284*u + 1008. Give s(91).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwoowwwwwwwwwwwww. What is prob of sequence wwq?\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 + 2*o - 8. Let r(c) = 1. Calculate -f(b) - 5*r(b).\nAnswer: 3*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -5*q + 27*q. Suppose w + 3*w + 484 = q. Are -120 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 1. Let w be r(-6). Let a(c) = w*c + 5*c**2 - 2*c**3 + 5 + 2*c**3 - c**3. Is a(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.043698637 to four decimal places.\nAnswer: -4.0437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36018081*f - 4362938 wrt f.\nAnswer: -36018081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f + 322. Let g be y(23). Solve -o - 142 = -g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a second in milliseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**5\/60 + 65*l**2 + 1. Let s(v) = v**2 + 4*v - 8. Let q be s(-6). Let w(f) = -2*f**2 + q*f - 4*f. Calculate t(w(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2. Let x(a) = 713*a**2 + 69*a. Let m(d) = 21*d**2 + 2*d. Let t(q) = 69*m(q) - 2*x(q). Calculate t(s(v)).\nAnswer: 207*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*9\/3)\/((-3)\/2). Suppose -3*u + 3 = -2*g - 34, 0 = u + y*g - 3. Suppose -5*a + u = -4*z, -4*z + 14 = -7*z - 2*a. Sort z, -5, -3, 5.\nAnswer: -5, z, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(1\/6)*z*z*z**(-1\/2)\/z*z**2*(z**(2\/5))**(-39)*z*z**(-1\/4)*z*z**(1\/5) assuming z is positive.\nAnswer: z**(-223\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3642427 millilitres?\nAnswer: 0.0003642427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 8\/262161013?\nAnswer: 8\/262161013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from eabuass?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 9*k**2 - 4*k. Let l(x) = -x**3 - x**2 - x. Give -j(u) + 4*l(u).\nAnswer: -3*u**3 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.169 and 294.\nAnswer: 294.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/69 and 127\/84.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000101 - 100?\nAnswer: -111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/63 + (-66323)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4459839*h**2*z - 8085*h**2 - 7*h wrt z.\nAnswer: -4459839*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: 256.6 * 0.1\nAnswer: 25.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/20 - c**4\/2 + 3*c**3\/2 + 2*c**2 + 7*c. Is 2 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**5\/6 + 7*h**4\/24 + 10*h**2. Find the second derivative of w(u) wrt u.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/4)\/(-1))\/(12\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 2*i - 6. Let p be y(4). Solve 7 = 4*v + 3, 2*v = 4*f - p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*r - 14 - 14 + 33 - 8 to the form s*r + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 + (-13 - -5 - -13). Is r less than or equal to -3.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, l: 8, k: 1, b: 1, n: 6}. What is prob of sequence bn?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 2*s**2 - 4*s**2)*(30 - 63 - 128*s**2 + 36) - 4*s**4 - s**4 + 6*s**4.\nAnswer: -127*s**4 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-261) - (-4)\/(-18). Let v be (-4)\/(-10) - (-376)\/435. Let z = i - v. Does z = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 50, -52, -4 in descending order.\nAnswer: 50, 5, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2. Let g(q) be the first derivative of 11*q**3\/3 + 28. Calculate w(g(n)).\nAnswer: 484*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1722, 3429, 5136, 6843, 8550, 10257?\nAnswer: 11964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(80\/16 + 42\/(-8)). Let v(z) = -o*z + 18*z - 3*z - 12 - 10*z. Give v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 26370*d + 57948075.\nAnswer: 3*(d - 4395)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/(-54) + 1 + -1. Let z = 227\/135 + n. Factor 2*s - z*s**2 - 4\/5.\nAnswer: -2*(s - 1)*(3*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7291, 5483, 3675, 1867?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (1 - (-8 + 10)) - (10 - 8 - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 10*o**2 - 14*o - 11. Let u be n(11). Let m be 13\/((-78)\/u)*(-127853 + -1). Let h = m - 42404. What is h rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) -864 (c) -1\/7 (d) -3\/56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1693712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*b = 33*b + 225. Let l = 8 + 0. Suppose 5*o + 5*c + 12 = -l, -5*o = -b*c - 30. Solve n = 2*n + o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 3*i + 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-540)\/(-25))\/(660\/825).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 60. Let a = 59 - r. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3001 * 7\nAnswer: -21007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i + 4, 4*i - 28 = -3*l. Let y = 40 - l. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/5, -3\/2, -1, -116, 2.5 in increasing order.\nAnswer: -116, -3\/2, -7\/5, -1, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 88611, 88612, 88613, 88614, 88615, 88616?\n\"Answer: d + 88610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102111210 + 11?\nAnswer: 2102111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziziiiiiiii. Give prob of sequence zzi.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, p: 12}. What is prob of sequence eep?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + (-6*(sqrt(72) - (sqrt(72) + 3)*-2))**2)*-4.\nAnswer: -98512 - 31104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2) + (-892895)\/(-86) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2 = -4*k - 10, -5*z + 4*k = -35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2238083, -8952318, -20142709, -35809256, -55951959, -80570818, -109665833?\nAnswer: -143237004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10517040 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/25*(-30)\/9. Let z = -2 + w. Suppose -z*t - 5*h = -24, 2*h = 2*t + 3*t - 89. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*l**2 + l**2 + 132*l**2 + 61*l + 128*l + 121*l wrt l.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11524841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-968)\/64 + (-2)\/(-16). Let a = i + 37. Solve 33 = -4*k + 4*r + 9, -5*k - a = 3*r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 131.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a - 12*a**3 - 11*a - 53314238*a**2 + 53314238*a**2.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 105.2, -10\/21, 2\/3 in decreasing order.\nAnswer: 105.2, 6, 2\/3, -10\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13470981 or 0?\nAnswer: 13470981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6812 - -7607. Calculate the remainder when i is divided by 230.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10996041\/746 + 14740. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g*g*((g*g**(3\/4))\/g)\/g*g)\/g)\/g**(-1\/8))\/((g\/g**(2\/17)*g)\/(g*g**(-3\/7)\/g)) assuming g is positive.\nAnswer: g**(1489\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6472*w**2 - 3494*w**2 - 1 - 4*w**3 - 4283*w**2 + 1.\nAnswer: -4*w**3 - 1305*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2380 and 101150.\nAnswer: 202300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -34*f**3 - 24*f**2 - 22*f + 2. What is the remainder when 81 is divided by x(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -362*z + 135*z**2 - 126*z**2 - 318*z**2 + 42*z wrt z?\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3948645, -4, 0, -8 in descending order.\nAnswer: 0, -4, -8, -3948645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1453 + -972. Calculate the remainder when w is divided by 165.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/3, -3\/4, -66, -13.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5921755 - -3.599. Round i to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000009038 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q = 168. Suppose 4*l = -2 + q. Let f = 387 - 383. What is the least common multiple of l and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006151257161 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 19*r**2 + 20*r. Let t be c(20). Let u(b) = -b**2 + 8*b + 43. Let m be u(t). Solve -p = m - 40 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -10, -7*q - 5*g + 3 = -6*q + 3 + 10 + 1 + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 2.01115.\nAnswer: 10.05575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:56 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 10*j + 6. Give i(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.89399 - -48.32?\nAnswer: 32.42601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 0.3884701791329.\nAnswer: 0.7884701791329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*m. Suppose -3*v + 6*v - 18 = m. Solve d = v*d - 4*k - 3, -10 = 4*d + 3*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d*k**2 + 36*d*k + 2*d + 13 wrt k?\nAnswer: 6*d*k + 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*c**4 - 54*c**2 - 238*c - 152808709?\nAnswer: 56*c**3 - 108*c - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = c - 12, -276*c + 7 = -272*c - 6*f - 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -78.9 - -74. Let m = 5 + h. What is the nearest to m in -0.5, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 20 = 18*o. Let p = -0.2 - -0.3. Put o, p, 3 in decreasing order.\nAnswer: 3, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16111 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14811 is divided by 3698?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 14*g - 35. Suppose 8321 = g*u + 138. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13251 divide 2143000669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-22)\/825*10\/8.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -314*n**4 + 135 + 73 - 3*n + 4*n + n + 11 wrt n?\nAnswer: -3768*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 54. Suppose 5*z = -4*x + 140, -3*z + 4 = -8. What is the greatest common factor of y and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 5, 0, 2288 in descending order.\nAnswer: 2288, 5, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(171)*-2)\/sqrt(9)*-4)**2 + (6*-1*sqrt(684) + sqrt(684))*-3.\nAnswer: 90*sqrt(19) + 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 144*a + 2*a**2 - 144*a. Let m(f) = 6*f**2. Give m(y(h)).\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.366 - -227.366. Let t = 16606080806 + -16606081032.99999786. Let f = z + t. Round f to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1583366066 and -264.\nAnswer: -1583366330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2390548706 + 0.7768.\nAnswer: -2390548705.2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -2\/315*l**7 - 67\/180*l**5 + 29\/360*l**6 + 64*l**2 - 1\/2*l**3 + 0*l + 17\/24*l**4 - 2. Find f, given that y(f) = 0.\nAnswer: 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148344\/10 + -3 - (-12)\/20?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 - 21931?\nAnswer: -21930.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*d + 409 - 127 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18658 less than 18263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 405173 to the power of 1\/2, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-360417)\/7831 + -18 + 64.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-350)\/105\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2 + 35*z - 8. What is the thousands digit of i(-55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4078155 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmg when three letters picked without replacement from {m: 4, g: 5, c: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -19. What is the nearest to 3\/11 in -1\/2, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15092724 + -25212150. Let i = b + 17549426. What is i rounded to the nearest one hundred thousand?\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43609606?\nAnswer: 2, 37, 499, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15025 plus 3603.83?\nAnswer: -11421.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njgjnyi. What is prob of sequence yn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 52e96 (base 16) to base 13\nAnswer: bb767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a - 13*a - 20. Let t(k) = 3*k**3 - k**2 + k - 1. Let z be t(1). Suppose a*w - y - 104 = 0, -z*y = y. What is w rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**2 - 6. Let g(i) be the second derivative of 0 - 17\/2*i**2 + i + 5\/3*i**4 + 0*i**3. Give 6*g(c) - 17*n(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 3*g - g + 2*g - 2*g + (-g - 2 + 2)*(0 - 1 + 3) - g - 2 + 2 + 4*g + 0*g - 5*g)*(2*g + g - 2*g)*(-21 - 22 - 18) as h + m*g + f*g**2 and give f.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 50*o**2 - 100*o - 129. Suppose 5*q + 3*j = j + 19, -5*q + 2*j = -11. Calculate the least common multiple of u(-48) and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 - t**3 + 4*t**3 - t**2 + (-t**2 - t**2 + t**2)*(-34438 + 34438 - 717*t) - t**3 + 2*t**3 + 0*t**3.\nAnswer: 720*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*p + 2764 = -9890 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/21)\/((-4)\/(-150)). Let j be -13 + q + -1*2. Which is bigger: 9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x**3 + x**4 - 3*x**3)*(-1 + x + 1).\nAnswer: x**5 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.37 + 0.67. Let s = 12.2 - 17.3. Let j = s + 1.1. Which is the closest to 0.1? (a) j (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*l - 1, -3*l + 18 = 4*o - 4*l. Let h be o*1*8\/10. Let g = 124 + -128. Put h, g, 3 in decreasing order.\nAnswer: h, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*v - 258, 2*j - 4*v + 745 - 899 = 0. Calculate the highest common divisor of 4824 and j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1323*q + 97973. What is i(-74)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11696 and 602.\nAnswer: 81872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a + 24476 = 24685 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*d = -52, 2*v = -2*d - 9 + 35. What is the remainder when (-31668)\/(-145) - (1 + 3\/(-5)) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l + 3*l)*(-5 + 5 - 4*l) + (0*l**2 - 3*l**2 + l**2)*(2 + 4 - 5) + 4*l**2 - l**2 - 2*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2. Let d(c) = -2*c**3 - 6*c**2 - 2*c. Calculate -d(u) - 4*l(u).\nAnswer: 2*u**3 + 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 11*z**2 + 6*z + 13. Let x be k(-12). Suppose 3*c - 3*w - 140 = 118, -2*w = -c + 86. Which is greater: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776114 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -849, -841, -831, -819?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 9 = -2*y + z, z = 5*y + 24. Which is the closest to -1? (a) 0 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89*n**2 - 2*n - 52.\nAnswer: -178*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2314 + 912 - 7332 = -180*o + 1886 for o.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 3. Let r(v) be the third derivative of v**4\/12 + v**3 + 2*v**2. Let b be r(-6). Is a(b) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 8 - 0) + (-3 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*s - 944 = -935, -3*f = -2*s - 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + (sqrt(60) - sqrt(960))\/sqrt(10))\/(1*sqrt(2)*-3).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 16. Let w = 39.1 - 39.08. Let n = 2.8 + -3. What is the biggest value in n, a, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0084718629 rounded to four dps?\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*b + 4*s, -s = b - 6*s - 16. Suppose -b = -4*n + 2*n. What are the prime factors of (4 - 1)*n - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qooeuqxueyee. Give prob of sequence uy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 33*i - 12. Calculate the remainder when s(18) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 0 - 12*i + 1 - 4 - i**2. Let m = 12 - 21. Let t be r(m). What is the highest common divisor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, d: 2, i: 5}. What is prob of sequence eei?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -302 - -335. Suppose c*w = 31*w + 22. Calculate the remainder when 27 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 12*m**2 - 14*m - 16. Suppose 11 - 44 = 3*r. What are the prime factors of o(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g. Suppose 6*x - 3*x = 5*t, -4*t - x + 17 = 0. Let h(a) = -8*a - t*a + 8*a. Determine h(i(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*a - 405 - 51*a + 9*a - 31*a with respect to a.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 - 3*o + 3. Let j be z(-3). Let t = 50 - j. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 + 153. Let c = h + -7. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/150 and -53\/200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49827 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 2*c = -4*v - 152, 85 = 3*v - 5*c. Suppose 34*a - 210 = 24*a. Calculate the least common multiple of v and a.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3851 + -2?\nAnswer: 3849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8)*-1) + 2.\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298081.\nAnswer: 109, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0)*1330\/(-152)*12\/10?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 232\nAnswer: -3\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -171543200 divided by -5\nAnswer: 34308640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4196523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -1020210?\nAnswer: 1020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 125519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.460494408 to three dps.\nAnswer: -3.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 3, 12472, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 1030 = -2*f, -5*z - 161 - 2399 = 5*f. Let x = f - -539. Calculate the greatest common divisor of x and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by -739650\nAnswer: 13\/49310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2. Let f(d) = 4*d - 4*d - d - 2*d. Calculate f(s(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -17*r + 1073. Let p be d(52). What is the highest common divisor of 108 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11448138 at most -11448138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/2 + (-1674)\/(-12). Suppose 4*y = -83 - a. Let v = 4 - y. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + 231098.\nAnswer: 231166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 83\/(12*(6 - (-710)\/(-120))). Solve -o*u = -14*u + 276 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(((-825)\/(-33))\/25)*(-1550)\/20?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61883509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -9*j**6\/40 + j**3 - 14*j**2. Differentiate v(c) with respect to c.\nAnswer: -81*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 520 = -490 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 292\/3 = 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + 7 + -4 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4153 = -2*p - r, p - 5*r = 4*p - 6240. Calculate the remainder when 6230 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -1\/60*h**6 + 0*h + 4\/75*h**5 + 3*h**2 + 0 - 2\/15*h**3 - 1\/60*h**4. Determine s so that y(s) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**5\/60 + 7*d**4\/24 + 4*d**3 + 5*d**2 - 8*d. Let m(a) be the first derivative of s(a). Does 10 divide m(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 21 + 12*g + 15*g + 13*g - 43*g.\nAnswer: -3*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1336, 2, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143\/49817 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 = -5*t, h + 2 + 3 = 5*t. Suppose -t*k + 189 + 47 = 0. Suppose 0 = -121*q + k*q - 21. What is the smallest value in 2\/7, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = q + 16. Let i(v) = -49*v**2 - 46*v + 50. Let d(o) = 10*o**2 + 9*o - 10. Let w(y) = q*i(y) + 11*d(y). Is w(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*c - 58, 5 = c + 3*a - 20. Suppose 3*o + 3*v - 207 = 0, -133*o - 3*v = -138*o + 305. Calculate the smallest common multiple of o and c.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2. Let m = 73 - 17. Suppose -5*h = 3*p - m, h + 4*p - 1 = -0*p. Let s(x) = 8*x + 3*x + h - 16*x + 6*x. Give s(g(o)).\nAnswer: o**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2314 divided by -16\nAnswer: -1157\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -1\/6*s**4 + 96*s + 0 + 0*s**3 + 0*s**2 + 103\/20*s**5. What is the third derivative of t(m) wrt m?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 18. Let b(c) = c**3 + 6*c**2 + 7*c + 13. Calculate the remainder when j is divided by b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -102\/677 (b) -2\/3 (c) -1.6 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (174496\/13243)\/((-36)\/(-153))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2310 and 1890.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -217 (base 13) to base 15\nAnswer: -18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 15*m - 44*m + 494. Let p(x) = 3*x**2 + 7*x + 2. Let a(q) = -6*q**2 - 15*q - 4. Give m*p(u) + 6*a(u).\nAnswer: 3*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -16*i**5\/15 + 2*i**3\/3 - 435*i**2. Let a(u) = -u**2. Give a(t(j)).\nAnswer: -4096*j**4 + 512*j**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*v**2 + 199*v**2 - 6*v**3 - 17*v**3 + 17*v**3.\nAnswer: -6*v**3 + 712*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4*k + 2*k - 10 = 0, -5*x - 4*k = 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -121\/23 > -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 + 1. Let y be f(1). Let h be (y\/2)\/(-2) + 3. Let s = 5.2 - 0.2. What is the second biggest value in s, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/14)\/n*n)\/n)\/n*n*n**4*n*n)**49 assuming n is positive.\nAnswer: n**(497\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 11:07 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-11) + 2608109\/(-61171)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.013*1\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1 (b) -12 (c) 3 (d) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*d + 214 - 214)*(d - 3 + 3) + 2*d**2 - 2*d**2 - 3*d**2 + 2*d**2 + 2*d**2 - 3*d**2 + (-8*d - d + d)*(2*d - 3*d - d).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88614, -177673, -266732, -355791, -444850?\nAnswer: -533909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.3 (b) 1116 (c) -2\/17 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**2 - 87*p - 83. Let o(l) = l**2 + 29*l + 28. Let t(r) = -2*k(r) - 7*o(r). Let t(c) = 0. Calculate c.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 + 0*v + 0*v)*(-1 - v + 1) + (-3*v**2 + 4*v**2 + 0*v**2)*(-2*v**3 + 0*v**3 + v**3).\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 4. Let q be (-55)\/j - 8\/(-32). Suppose -q = -g + 4. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 7255 (c) -1\/4 (d) -3 (e) 13 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011698532 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073211.\nAnswer: 3, 357737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22568?\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22923.2862 rounded to the nearest ten?\nAnswer: -22920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15789.24 - -15792. Let k = 615\/3443 - -1\/313. Is k >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720 and 6570?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.4 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-28))\/(100\/(-140) + 3).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l**2 + 1. Let d be i(0). Let c(w) = 11*w - 3*w + 15*w. Is 11 a factor of c(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85005609?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -154 != -153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3584 and 672?\nAnswer: 10752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61110?\nAnswer: 2, 3, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/8)\/(16 + -9)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -1\/6*c**4 + 0*c - c**2 + 24 + 0*c**3. Let w(m) = -43*m**2. Determine w(r(y)).\nAnswer: -688*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a - 4*a**3 + 5*a + 5*a**3.\nAnswer: a**3 - 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -1\/3*r**4 + 12 + 4\/25*r**5 - 2\/75*r**6 + 4\/15*r**3 + 8*r + 0*r**2. Let l(s) be the first derivative of a(s). Factor l(i).\nAnswer: -4*i*(i - 2)*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*v**2 + 116*v**2 - 31*v**3 + 33*v**3 + 285*v**2.\nAnswer: 2*v**3 + 759*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l + 13. Calculate z(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23\/171 + 8471\/684. Let t = 1499202294 + -9581401832483\/6391. Let c = -2\/6391 + t. What is the common denominator of n and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176170586 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5445 (base 9) to base 3\nAnswer: -12111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6835\/(-12303)*(-24)\/(-10).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5 - (13 + (-22 - (-15)\/((-1200)\/(-4112)))).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 36472920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f. Let j(z) = -5*z. Let x(w) = 6*h(w) + 14*j(w). Let s(i) be the first derivative of -4 + 0*i - 1\/2*i**2. What is x(s(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-354)\/(-30) - (-1)\/5. Suppose 0 = -s*g + 16*g - 88. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/((108\/(-42))\/(-9))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 7*u**2 + 7*u + 2. Let c be o(-6). Let q = c - -8. Let a be (-2)\/((-2)\/(-2 + q)). Let i(w) = -2*w + 2. Give i(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbsssbvabsmr. What is prob of picking 1 m and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5\/9 - 38*a**4\/3 + 220*a**3\/9 + 4*a**2\/9 - 74*a\/3 + 110\/9 = 0.\nAnswer: -1, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 887.1 + -877.467. Let j = f - 0.033. Let o = 10 - j. Which is the nearest to 0? (a) -1 (b) o (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556207 is divided by 46346.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 409.6 - 406.6. What is the fourth smallest value in 0.5, -2, s, 6\/7, 0.2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 184 = -43. Suppose 6*i + 2 - 14 = 0. Suppose -i*z + z = -16. Calculate the remainder when f is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14633*b**2*z**4 + 6*b**2 - 2*b*z**4 - 170*z wrt z.\nAnswer: -175596*b**2*z**2 - 24*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 5, c: 5, o: 5}. Give prob of sequence oo.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 4) to base 2\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 125*v + 56 - 116 + 124*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -179823, -179822, -179821, -179820, -179819, -179818?\n\"Answer: w - 179824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2942660.0302 to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 128718 in -4, -0.5, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 202 = 229. Calculate the least common multiple of j and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 7*g**2 - 6*g + 2. Let x be p(-6). Let f(d) = 40 - 69 + d**x - 124 - 2*d. Let h be f(0). Round h to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0 + 1\/60*s**5 + 1\/24*s**4 - 1\/2*s**3 - 3*s**2 + 0*s. Suppose 5*q = 4*q. Calculate i(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.222 - -0.022. Let i = v - -16.64. Round i to 1 dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Suppose -8 = -4*u + 8. Suppose 16 = 2*l + j*s, u*l - 2 = -l + 2*s. Which is the second biggest value? (a) l (b) -0.1 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*n - 10986 - 2918 = 0. Calculate the remainder when n is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1460*w + 1515*w + z + 4 + 9, -65 = 5*w + 5*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16551 - -16550.940002. Let r = g - -0.06. Round r to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -805, -1924, -3473, -5452, -7861, -10700?\nAnswer: -13969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(5)*2) + ((sqrt(108) + sqrt(108) + -1 - sqrt(108)) + sqrt(108))**2.\nAnswer: -47*sqrt(3)\/2 + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*w - v - 495 = 307*w, 33*v - 565 = 4*w for w.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 11) + (1 - (3 + 0 - 0)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-127 + 324 - 113)*(-6 + 3 + 4)*(1 - 1 - 2*y) as n + f*y and give f.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1))**38*(y**(-2\/11)*y)\/(y*y**10))**(-12) assuming y is positive.\nAnswer: y**(-8688\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, 19, 30, 41, 52?\n\"Answer: 11*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*v + 5, z = -4*v - 3*z - 16. Let m = 7 - 7. Let b = m - v. Solve x + x = -2*d, b*x + 4*d = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 2*l - 4. Let q be i(4). Suppose -25 = 2*d - 4*b - 3, q*d = -4*b - 8. Suppose -40*y + 99 = 179. Which is greater: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6099378 - 22199378. Round i to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**4\/5 + 1041*h**3 - 131496*h**2\/5 + 886608*h\/5 - 152064 = 0. Calculate h.\nAnswer: -1760, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.5. Let l = 175\/4 + -44. Let j = -2 - -1.9. What is the closest to 0 in w, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myg when three letters picked without replacement from {y: 2, v: 2, g: 1, m: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202 + -183. Suppose -2*t + v + 39 = -2*k, -t - 5*k = -47. What is the lowest common multiple of 44 and t?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (48 - 50) + (-10)\/(-2). Is ((-1)\/2)\/(1\/(-570)*q) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*s + 11 = 0, 0 + 1 = 2*c - 3*s. Solve z - 2*z = -c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*10.2.\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 3*g**2 + 9*g**2)*(3 - 4 - 1)*(-4 + 4 - 1).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m + 47. Let g be h(8). Let v(x) = -2*x**2 + 14*x + 2. Let t be v(g). List the prime factors of (9 - -21)\/(t\/3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/(5\/3). Let r = 31\/38 - 6\/19. Let y = 1 + 4. Put r, f, y in ascending order.\nAnswer: f, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eceeeecc. What is prob of sequence ece?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 + -1) - (-12 + 15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.0267 + -0.0267. Let x = 1 - -1. Let t = -4 + x. Which is the nearest to t? (a) j (b) -3\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 196, 437, 774?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(3\/(-9) - -2*(-20)\/(-30)). Solve 0 = -2*k + 3*k - 5*p - v, 2*p + 8 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 22 + -29 + 36 + -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 = -2*u + 85. Let k = u + 1341\/10. Let p = 25.8 + -25.7. Is p at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4721 divided by 4721\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 886171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -10. Suppose -i = -t*o + 18, 22 = 5*i + o + 8. What is the derivative of -4 + 0*q**2 + q**i - q + q wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (945 + -922 - (-234)\/(-10)) + (3 - (-179)\/(-40)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 98. Let r = h - 26. What is the remainder when r is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 160, 4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/8*(-2)\/12. Suppose -3*z - 6 = -z. Let s = 8\/9 + -47\/63. Which is the nearest to u? (a) z (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**5\/20 - 11*k**4\/12 - 13*k**3\/6 - 12*k**2 - 6*k + 2. Let r be y(-10). Solve -3*t + r*t = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000465531 to 6 decimal places.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 8:56 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 488079, 975973, 1463867, 1951761, 2439655, 2927549?\n\"Answer: 487894*s + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 2:52 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 43, 3, 65, -10, 4\/7?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -9706?\nAnswer: 3\/9706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 629110169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 + 83. Let d(n) = 52*n**c - 5*n - 56*n**2 + 5*n. Let y(g) be the second derivative of g**4\/4 + g. Calculate y(d(q)).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-3))\/((-2)\/(-3)). Let t be (6\/4)\/(12\/g). Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence immm when four letters picked without replacement from imimiiiimm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 494, 495, 496?\n\"Answer: l + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 5*u + 13. Let m be o(0). Suppose -p = -f - m, 3*f + 19 + 30 = 4*p. What is the lowest common multiple of p and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*d - 1605 = 1459 + 186 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316 + 96 = -8*k - 8 - 212 for k.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64434750, -128869509, -193304268, -257739027, -322173786, -386608545?\nAnswer: -451043304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 76*h**2 - 5848*h - 320. Calculate i(77).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 344507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 10*d - 19. Let c be b(7). Solve 0 = -c*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 26\/5 of a hour?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l + 2 - 5*l + 3*l - 52*l to i*l + a and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrgrrrrgrrgrrrrrrgrr. What is prob of picking 2 g and 1 r?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4 + 47*n**3 + 380*n**2 - 5252*n - 24336 = 0 for n.\nAnswer: -26, -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 669061\/23532534 - 102\/5611. What is the common denominator of k and 17\/18?\nAnswer: 4194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*z + 43 = -292*z + 176*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {p: 2, y: 1, s: 1, a: 3, g: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) -0.02 (c) -3\/56 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 301*q - 345?\nAnswer: 301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4 - 1523*g**3 - 1972*g**2 + 335160*g + 3?\nAnswer: 12*g**2 - 9138*g - 3944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189 - 189. Let r(w) be the first derivative of 1\/26*w**4 - 7 + c*w + 4\/39*w**3 + 1\/13*w**2. Factor r(d).\nAnswer: 2*d*(d + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(156) - (sqrt(156)*-2 - sqrt(156)) - sqrt(156)) + sqrt(156)))\/(sqrt(60)\/(-2*sqrt(5) - sqrt(5))) - (sqrt(117) + -2 - (sqrt(52) + 0)).\nAnswer: 2 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.08 - 3.28. Sort -6, -3\/16, s.\nAnswer: -6, s, -3\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 6 = -0*r, 0 = -2*t - r + 1. Let j(w) = w**3 + w + 12. Let n be j(0). Suppose -4*f - n = -5*l, l = -3*f - 12 + 3. Solve l = t*o + 6 + 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 6. Let c be p(8). Suppose -c*g + y = -134, 2*y = -3*g + y + 211. Let f = -28 + g. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 16\/4 + 47. Let y = t - -12. Calculate the highest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 6. Let w = v - -31. Let m = 2.9 - 3. Which is the nearest to m? (a) -0.3 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 16 (b) -0.3 (c) -24 (d) -493.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 + -125. Suppose h*y - 16*y = -390. Calculate the remainder when y is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32094494 is divided by 312.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**10*z*z)*z**(-27) assuming z is positive.\nAnswer: z**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8357412737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 265, 545, 825?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 403, -2, 1, -55.5, -1\/7 in increasing order.\nAnswer: -55.5, -2, -1, -1\/7, 1, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/113316 and 25\/2058?\nAnswer: 5552484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -293780 divided by -293780\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*b - 850 = 0, -647 = -w - 3*w + 5*b. What is the highest common factor of 21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4727319 and 4727318 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19) + sqrt(19)*1*-5 - (2 + (sqrt(19) + 0 - sqrt(19)))) - ((-3*sqrt(228) + sqrt(228) - sqrt(228))\/sqrt(12) + sqrt(76)*-5).\nAnswer: -7*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 914, 1831, 2748?\nAnswer: 3665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/6*(-5 + 1). List the prime factors of 4 - r - 3*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*l + 3032. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2\/2 - 1025375*f - 22559460.\nAnswer: 5*(f - 410172)*(f + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 444*q**2 - 6660. Let w(r) = -5. Determine n(z) - 1332*w(z).\nAnswer: 444*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 0 - -2 - -12. Let p = -21 + 13. Let t = z + p. Solve -5 = h - t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7417*v**3 + 6*v**2 - 72*v + 4 wrt v.\nAnswer: -44502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 250681704\/784 + (-6)\/84 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 1029*k**5\/2 + 1470*k**4 + 1008*k**3 + 264*k**2 + 24*k = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/5))**(-24))**(1\/12) assuming x is positive.\nAnswer: x**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**15)**19\/((z*z\/z**(-8))\/(z\/(z*z**(-1\/24)*z))) assuming z is positive.\nAnswer: z**(6577\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 125?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 35 + 65. Let r(j) = -j + 1. Let f(y) = 30*y - 50. Let q(z) = t*r(z) + f(z). Let d(k) be the first derivative of -2*k**3\/3 - 8. Determine d(q(u)).\nAnswer: -800*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1771 + 5049 = -445*o + 225*o for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19743, -39501, -59273, -79059, -98859, -118673?\n\"Answer: -7*d**2 - 19737*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 120\/70 - 2 - (-111850)\/14. Let s = k - -332. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -6. Put -5, -2, y in increasing order.\nAnswer: -5, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/12)\/(8\/(-1584)) and 34\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9472980 by -20460.\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 10 (b) -1\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24868 - -895343\/36. Find the common denominator of x and -7\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 687, 659, 631, 603?\n\"Answer: -28*v + 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, 21, 118, 253, 426, 637?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d**2 - 170*d + 94. What is the hundreds digit of q(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1128311 and 1817?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 829 + -768. Which is bigger: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15728627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + -0.1. Let u = -0.2 + k. Let f = 3 + -3. What is the nearest to -1\/4 in u, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106 - -1105?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3045\/(-4060))\/(1*(-1)\/1364). What is the greatest common factor of 33 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -30, -1321, 4, 7 in descending order.\nAnswer: 7, 4, -2, -30, -1321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3191193 rounded to the nearest one thousand?\nAnswer: -3191000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106832815.\nAnswer: 5, 23, 449, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9305 or 9229?\nAnswer: 9229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1410 and 1380.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**4\/6 + 12*w. Let d(p) = 3*p**2. Calculate s(d(v)).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 18597130.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40a3d3 + 3?\nAnswer: -40a3d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**2\/5 - 280187301*q\/5 - 280187304\/5 = 0.\nAnswer: -1, 93395768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = 3*s + 2*q - 120, -5*q + 645 = 5*s. Find the first derivative of 182 + 2*o**3 + s - 188 + 11*o wrt o.\nAnswer: 6*o**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -659408 times -5?\nAnswer: 3297040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(180)\/sqrt(9))**2*3*3 - (sqrt(405) + (-2 + sqrt(405) + -5)**2 + -2*(2 + sqrt(405))).\nAnswer: -1530 + 135*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 2788.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**17*l)\/((l\/l**21*l)\/l) assuming l is positive.\nAnswer: l**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-18) - (-16)\/(-9). Let d(n) = n - 2. Let v be d(9). Let m = v - c. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*w + 74, 3*n + 3*w + 33 = -24. Let r be 0 - 12\/4 - n. Suppose r = -4*l + 109. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/4 + 2675*r\/4 - 1335\/2.\nAnswer: -5*(r - 534)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 11*p**3\/6 - 5*p**2 - 7*p. What is the first derivative of g(z) wrt z?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1 - 2*l - 2*l + 9*l**2 + 2*l. Let j be 0 - (3 + (-2 - -1)) - (39 - 40). Determine n(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.89 rounded to 0 dps?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26327, -26319, -26311, -26303, -26295, -26287?\nAnswer: -26279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92403454.\nAnswer: 2, 11, 13, 29, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 15 = 3*c. Let z be 4\/(-5) + 4 + (-68)\/90. Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 343 = 4*t, -4*t + 5*p + 189 = -160. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308793*-0.5.\nAnswer: 154396.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 139109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93.3 + -92.9. Sort j, 1\/37, -5.\nAnswer: -5, 1\/37, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 75948.7ns?\nAnswer: 0.0000759487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 0*c - 14 + 5\/2*c**2 - 1\/12*c**4 - 1\/12*c**5 - 1\/120*c**6 - 7\/6*c**3. Let w(z) be the second derivative of s(z). Give w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-16))\/1)\/((-6)\/(-8)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 38 = -154. Suppose -3*h + 12 = -5*s - 4, -2*s = -3*h + 10. Suppose h*q = 14*q - 3132. What is the highest common divisor of t and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247913?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -295568619.\nAnswer: 118227447.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*s + 11. Let t be (-2)\/s + 178\/8. Let r = t - 12. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 + -69 + -5 + (-3 - -12) + 59.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -232*i**2 - 6040*i - 207. Determine w(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u - 56*u**2 + 7*u**3 + 56*u**2.\nAnswer: 7*u**3 + 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.10089l to millilitres.\nAnswer: 43100.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 0)*(8*y**3 - 3*y**3 - y**3) - y**3 + y**3 - y**3)*(2*y**2 + 3*y - 3*y).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2129 = -5*n, -5*n + 1496 = 2*f - 632. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 23*i**2 + 7*i**2 + 10*i**2 as j + c*i**2 + q*i and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 19*o + 181. What is u(-32)?\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 410*j**2 + 2911*j + 57. Give l(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1445*p**4 + 31*p - 7959*p**4 - 59*p + 28*p + (5*p**4 + 2*p**4 - 5*p**4)*(-2 + 1 + 3).\nAnswer: -9400*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -1445*l**4\/6 - 335*l**3\/3 + 5*l**2\/2 + 5374*l. Find the second derivative of f(z) wrt z.\nAnswer: -5780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1135?\nAnswer: -1\/1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from cccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*u - 305*u - 8829 = -172*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -2*v**3\/3 - v**2\/2 + 6*v. Let q be b(2). What are the prime factors of (244\/12)\/((-3)\/q)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 811252149 - 811256018.18173. Let g = -3897.182 - h. Let r = g + 28. Round r to five decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -1813.\nAnswer: -1810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of v*w*z**2 - 274*v*w + 76*v*z**2 + 4*w*z**2 - w*z - 30 wrt z.\nAnswer: 2*v*w*z + 152*v*z + 8*w*z - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14483695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 23, -1\/3 in increasing order.\nAnswer: -1\/3, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*t - 4. Let j = -1 + t. Suppose 3*a + 4 = 10. Calculate the greatest common factor of a and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2147, -5393, -8639, -11885, -15131?\n\"Answer: -3246*z + 1099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 257665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 16*u**2 - 8*u + 51. Let t be l(16). Find the common denominator of (-22)\/44 + t*(-1)\/4 and ((-1)\/3)\/((-30)\/117).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 3325843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 2:17 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 550*m**4 + 214*m**4 + 11*m**4 + 2*m**2 + 2*m**4 - 2*m**2 + (1 + 4 - 3)*(1 - 1 - 2*m**4) - m**4 - 4*m**4 + 6*m**4.\nAnswer: 774*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**17\/(g**(4\/13)\/g))\/((g\/g**(-3\/4))\/g)**(-1\/30) assuming g is positive.\nAnswer: g**(9213\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19513 and 6556368.\nAnswer: 6556368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1375 or -1374?\nAnswer: -1375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3565 is divided by ((-1 - -2)\/2)\/(9637\/(-1610) + 6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21762 (base 14) in base 7?\nAnswer: 455152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Let c be g(3). Suppose 2*j - 183 = -0*j - c*h, 5*h + 15 = 0. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 6*q + 21. Let u be (-1 - 1) + 8 + 6. Let c = u + q. Solve i = c*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 34*w + 2. Let i(x) = -x. Determine -10*i(z) + u(z).\nAnswer: 2*z**2 - 24*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*s - 5*s - 23*s.\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w. Let a(f) = -9*f**2 - 17. Let s(x) = 3*x**2 + 6. Let l(n) = n**2 - 5*n - 6. Let p be l(5). Let v(j) = p*a(j) - 17*s(j). Calculate t(v(o)).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -56, -49, -44, -41, -40, -41, -44?\n\"Answer: -z**2 + 10*z - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p - 6*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 254*q + 65751. What is the units digit of a(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -3 (c) -2859 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 602 and 880468?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3492 divided by -6?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((11 - 11) + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*m = 27, 3*m - m - 94 = 2*t. Let b = t - -82. Let a = b - 16. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4830878 and 33\/6235?\nAnswer: 24154390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4812235 rounded to 2 decimal places?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**3 + 19*n**2 + n - 5. Let m(v) = 3*v**3 - 19*v**2 - v + 6. Let a(l) = -3*g(l) - 4*m(l). What are the prime factors of a(6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 59248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2. Let t(d) = 98309*d**2 + 67*d. Determine t(k(f)).\nAnswer: 393236*f**4 + 134*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25250610 divided by 1929.\nAnswer: -13090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-266)\/(-95))\/(10\/(-25)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2 + 11*k + 1. Let x(t) = t**2 + t. Let g(u) = f(u) - 5*x(u). What is g(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 430 - 427. Suppose 22 = 3*c - 5*z, 0 = -v*c + z - 3*z + 8. Determine a, given that 0*a + 0 - 2\/7*a**c + 4\/7*a**3 + 0*a**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40236, 40241, 40246, 40251, 40256?\nAnswer: 40261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1153 and 45 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(3) + -1 + 1 + -4)**2.\nAnswer: -40*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 2*m - 4. Let b be c(3). Suppose 6*n = b*n - 15. Factor 2\/3*j - 2\/3*j**n + 1\/3*j**4 + 0*j**2 - 1\/3.\nAnswer: (j - 1)**3*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 8:27 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*c + 4*f = -728, 6*c + 23 - 67 = c + f for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 10:56 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from {d: 3, v: 1, m: 1, l: 1, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a + 66825 = -23*a + 69*a. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4104120 and 376?\nAnswer: 192893640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65 minus 48?\nAnswer: -47.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 122401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {l: 1, c: 9, e: 2, y: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**3 - 6*l**2 + 7*l + 6. Suppose 0*u = 5*u + 10, -30 = 4*c + 3*u. Let h(f) = -17*f**3 + 13*f**2 - 15*f - 13. Determine c*h(i) - 13*q(i).\nAnswer: -2*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 8*c**2 + 3*c + 32. Let f be k(-8). Let p be 6*(f\/32 - 2\/(-8)). Suppose -p*d - 390 = -6*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/22 (b) 0.1 (c) -11061 (d) 0.2 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -17\/12*s**4 + 0 + 0*s + 8\/3*s**3 - 23*s**2. What is the first derivative of i(a) wrt a?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 97, -203, -20, -4, 5 in decreasing order.\nAnswer: 97, 5, 2, -4, -20, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2)*g)**14)**17)**(-32\/3) assuming g is positive.\nAnswer: g**(7616\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {s: 1, k: 2, p: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 126147, 126220, 126271, 126294, 126283, 126232, 126135, 125986?\n\"Answer: -w**3 - 5*w**2 + 95*w + 126058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*(88 + -85)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 10*k**2 - 12*k - 18. Let h be r(-4). What is the tens digit of -1278*(-5)\/(-15)*h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -236236, -944929, -2126092, -3779731, -5905852?\n\"Answer: -d**3 - 236229*d**2 + d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 87, 131, 123, 63, -49?\n\"Answer: -26*y**2 + 122*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52732774219 take away 1?\nAnswer: -52732774220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6871*h**4 + 5*h - 204?\nAnswer: -82452*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 33*n + 37. Let j be x(4). Let i(c) = -160*c - j*c + 330*c + 9. Give i(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1794 and 65596?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1955?\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 178 = -5*m - 91, 0 = 3*m + g + 168. Let z = 23 - 75. Let p = z - m. Solve -w + 2 = -p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 3 - -2) + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -j + 24. What is the second derivative of 59*h**3 + 71*h**j + 3*h - 123*h**3 + 6*h wrt h?\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 167, 368, 619, 944, 1367?\n\"Answer: 4*d**3 + d**2 + 170*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.01 - -1.61. Put -3\/7, q, 2\/5, 1\/2 in descending order.\nAnswer: 1\/2, 2\/5, q, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151213 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(112\/(-70)). Let z = 1\/16 + m. What is the closest to z in 2\/7, 1.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*sqrt(17)*6 + sqrt(17) - (sqrt(68) + (0 + sqrt(68))**2)).\nAnswer: -19*sqrt(17) - 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -90 (b) 2 (c) 20\/7 (d) 0.1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 174\/9 - (-2)\/3. Let d be (m\/(-16))\/(2937\/(-348)). Let q = 3\/89 + d. Are q and -1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(3 - (-2253)\/(-750)). Round u to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284420691 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283140 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1414, -1483, -1568, -1675, -1810?\n\"Answer: -o**3 - 2*o**2 - 56*o - 1355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29.2, 0, 4, -0.3, -2, 38, -4\/3 in descending order.\nAnswer: 38, 29.2, 4, 0, -0.3, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k**(-9)))\/k*k\/k**13)\/(k**(2\/9)*k**(-5)*k) assuming k is positive.\nAnswer: k**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t + 3. Let y(o) = -54 - 48 + 157 - 53 + 3*o. Suppose 0 = h, l + 4 = h + 1. What is l*y(j) + 2*b(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 + -20. Let w = f - -95.37. What is w rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzzzddzdzdzddddzzzdd. What is prob of sequence dd?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) 0.018 (c) 1596\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -2*c - 2*o, 0 = -3*c - 2*o + 4*o - 60. Suppose -9*g = -6*g + 90. Let x = c - g. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 13 = -5*x - 2*p, 3*x + 3*p = 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/2*1*(-5)\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*i**4*w**2 + 3*i**4 - 111*i*w**2 wrt i.\nAnswer: -324*i**2*w**2 + 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 66766?\nAnswer: 267064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 450 + -450. Suppose 31*g - 945 - 140 = t. What is the remainder when 220 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60 - 60 + 22*a)*(-a - 2*a - a) to the form z + m*a + o*a**2 and give o.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)*l)**2)**(-2\/9)*((l\/(l\/l**(2\/3))*l)**(-4\/35))**(-18) assuming l is positive.\nAnswer: l**(202\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-25)*(-10)\/(-2). Calculate the greatest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1728.14 - -1728. What is the nearest to 1 in -4, u, -1, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 2*w**2 - 2*w + 1. Let x be s(-2). Solve 2*c = -2*t, -2*t + 3 + x = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -i - 7, 4*i = -6654954*m + 6654956*m - 22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 2*j**2 - 32*j + 60. Let z be p(2). Let f(d) = d**2 + 8*d + 10. What is f(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -4586*s**3\/3 - s**2\/2 + 1679*s - 3722. Find the second derivative of q(m) wrt m.\nAnswer: -9172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -36542829*q**2. Let y(w) = 5*w**2. Determine v(y(f)).\nAnswer: -913570725*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2 + c - 3*c + c**2 - 2*c - 4*c**3 + 2*c. Let t(k) = 5*k**3 - k**2 + 3*k + 3. Let i(n) = -n**2 + 6*n - 6. Let s be i(4). Give s*t(z) + 3*a(z).\nAnswer: -2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 + -48. Suppose -5*u + v = 2*b, -b + 0*b - 14 = -3*u. Suppose -u*y = -167 - 67. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 21*v**2 + 1434*v + 30109. Give l(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4969458601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50311853 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqq. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*b + 3*b - 15 = 0, -2*r + 5*b = -27. Let p(y) = -410*y**2 - r*y + 493*y**2 + 21 - 3. Is p(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -23, -15, 15, 73, 165?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58913 is divided by 9817.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, q: 7, p: 1}. Give prob of sequence qee.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122491208*q**4 - 37835505*q**2 wrt q.\nAnswer: -2939788992*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 6. Let f be s(-6). Let n(b) be the first derivative of f*b**3 + b - 2\/5*b**5 + 0*b**2 + 0*b**4 + 1. What is the derivative of n(h) wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 + 1383*t - 10472. Determine z(338).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 16*s**3 - 5*s - 4 - 2 + 302*s**2 + 16 - 301*s**2. Let y be x(5). Round y to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 7?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44867113 divided by -3?\nAnswer: -44867113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 33, -7, 2\/9, -3, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256368 by -12.\nAnswer: 21364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/8 (b) -1\/5 (c) 0.3 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14419*s - 14476*s - 855 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 3*sqrt(5808) + -3)*3*-2)**2.\nAnswer: 9504*sqrt(3) + 1881828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9271 by 127.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 11:26 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21523455 = -15*l - 11*l - 25024345. Round l to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -19. Suppose 0 = -2*d - i*d - 8. Let q be -2 + 2*(4 - d). Solve -5*k + q = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2260*t - 44. Let w(o) = -6778*o + 121. Let i(s) = -4*w(s) - 11*z(s). Let h(a) = -2*a**2. What is h(i(k))?\nAnswer: -10143008*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1155\/(-75) - (-3)\/(-5). Let x(r) be the third derivative of r**5\/60 + 13*r**4\/24 + 31*r**3\/6 + 14*r**2. What is the units digit of x(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.38 * 1.\nAnswer: -29.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 47*s + 31*s**2 + 0 - 5 - 10*s**3 - 8 + 9*s**3. Is m(32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.7588 to one decimal place.\nAnswer: -33.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2.77.\nAnswer: -8.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 7 - 5*f**2 - 1 + 0 - 4882*f**3 - 8*f. Let v be h(8). What is v rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4 + 8, w - 3*l = -9. Suppose -f = 1, 0 = k + w*f - 0*f - 4. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141 - -138. Let s = 10 - 10.14. Which is the nearest to s? (a) m (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12157 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692552746.\nAnswer: 2, 346276373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/700*77\/2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -351 (base 11) to base 15\nAnswer: -1ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -314, -1199, -2958, -5885, -10274, -16419, -24614?\nAnswer: -35153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -11*k**8\/336 - k**5\/20 - 3*k**2. What is the third derivative of s(n) wrt n?\nAnswer: -660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 454053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-9)\/(-3)*((-754992)\/432)\/(-107)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -44 - (9 - (11 - 0) - -4)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 2:51 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.043.\nAnswer: -0.0215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -318, 1\/7, -143\/3 in descending order.\nAnswer: 1\/7, -143\/3, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -487 by 380515.\nAnswer: -487\/380515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmllm. What is prob of sequence lll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.316 and 59.8.\nAnswer: -78.6968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**3 + 9*g - 6. Let d = 12 - 21. Let t = -2 - d. Let n(m) = 54*m**2 + 5 - 8*m - 14*m**2 + 7*m**3 - 40*m**2. What is t*n(v) + 6*f(v)?\nAnswer: v**3 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 3*k + 9, 166*u - 169*u + 16 = -k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4. Let x(t) = -t**2 - 1. Determine b(r) + 4*x(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 48 = 104. Let f(o) = 19*o**2 - 2161*o - 607. Let z be f(114). Which is bigger: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + sqrt(22)\/(sqrt(2) + (2*sqrt(128) - sqrt(128))).\nAnswer: sqrt(11)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 94\/423*(-9)\/12\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(78)*5)\/sqrt(6) + 2*sqrt(13)*-2*-4.\nAnswer: 2 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106350 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, 13, 5, 3, 7588 in ascending order.\nAnswer: -1, 3, 5, 9, 13, 7588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**5 - 230*m**4 - 725*m**3 - 490*m**2 = 0 for m.\nAnswer: -2, -1, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*u - 174 - 214 = 331*u - 4283 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 - 8*m**2 + 39*m**2 + (-3*m + 6*m - 6*m)*(-5 - 3*m + 5) - 5*m - m + m**2 + 3*m to the form g + x*m**2 + f*m and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 9:43 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**2 - 6614510*o - 244730025 = 0.\nAnswer: -1322865, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/12*3006436)\/(10*1\/30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z + 0*z)*(2*z**2 - 12*z**2 - 15*z**2 + (-z - 2*z - z)*(z + 0*z + 8*z)).\nAnswer: -122*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**2 + 33*a + 8. Let h(l) be the third derivative of -l**5\/20 + 11*l**4\/12 + 5*l**3\/6 + 1080*l**2. Determine 8*h(m) - 5*s(m).\nAnswer: m**2 + 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**3 + 2*n + 3*n**3 - 3*n**3 - 1. Let x be v(1). Let m = x + 6. Solve 0 = -a - m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/10 - 17*n**2\/10 - 37*n\/10 - 19\/10.\nAnswer: (n - 19)*(n + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1)*(22 + -19)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*n - 675 - 266 = 470*n - 9521 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**2 + 7*y**2 - 7*y**2 + 5*y + 5*y**2.\nAnswer: 5*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**18*j*((j**25*j)\/j*j)\/j)\/(j\/(j\/((j*j*j*j**(10\/11))\/j)))**12 assuming j is positive.\nAnswer: j**(100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbz when three letters picked without replacement from {b: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-32) + 31\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 0 - 91\/4*y**4 + 31\/4*y**2 + 49\/4*y**5 - 3*y + 23\/4*y**3 = 0.\nAnswer: -4\/7, 0, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/3)\/f*f)\/f)\/f)**17 assuming f is positive.\nAnswer: f**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*g - 375*g**3 - 369*g**3 - 381*g**3 - 91*g - 383*g**3 + 1498*g**3.\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hql when three letters picked without replacement from vlqjh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -353 from 48152.\nAnswer: 48505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -68*x**3 + 54. Let o(u) = u**3 + 1. Let g(z) = 4*o(z) + t(z). What is the first derivative of g(n) wrt n?\nAnswer: -192*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671 is divided by 565.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13264462 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90160\/9 or 10018?\nAnswer: 90160\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - ((-3 - 7) + -22 + 44).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/30 + 252\/35\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 827*h + 279. List the prime factors of j(7).\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4599, 9249, 13999, 18903, 24015, 29389?\nAnswer: 35079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t - 109. Let s(h) = 4*h - 45. Let f(u) = -2*p(u) + 5*s(u). Determine f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*z - 396 = -193*z. Which is the closest to 1? (a) -5 (b) 0.2 (c) -0.57 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*t + 452*t - 177*t - 163*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 - 49. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 25*x - 1 - 23*x)*(-2 + 2 + x**3) as k*x**4 + w*x + f + c*x**2 + d*x**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 5)*(0 + 1 - 4)*(-16 + 4 - 22)*(4*q - q - 5*q) as r + c*q and give c.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -2\/19, 2, -115610, 1\/4, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14100 and 3510900?\nAnswer: 3510900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135951, -135980, -136023, -136074, -136127?\nAnswer: -136176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 105\/28*(-9 - -1). What is the common denominator of -54\/7 and 157\/m - (-2)\/6?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593622 is divided by 296810.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10467586 is divided by 3678?\nAnswer: 3676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/8)\/(3\/12). Let l(a) = -c*a**2 - 7*a + 2*a**3 + 4*a**2 + 0*a**3 - a**3 + 2. Determine l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 5004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 10*c**2 + 17*c + 3. Let x be p(-7). Suppose -34*k + x*k = -10620. Suppose -21*j + 18*j = k. Round j to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32, -21, -2, 25, 60, 103?\n\"Answer: 4*p**2 - p - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 4*v + 6. Let p be m(4). What is the third derivative of 1078*s - 36*s**p - 3*s**6 - 1080*s - 32*s**2 - 22*s**6 wrt s?\nAnswer: -7320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 6*v**3 + v**3)*(-7*v + 3*v - v)*(0 - 11 - 23).\nAnswer: 1190*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4083 is divided by 505?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 5.98. Let b be ((-2)\/(-4))\/(45\/18). Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 102113221?\nAnswer: 102113233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1888 - -1190. Suppose 0 = 5*f - h + 843. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:24 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzuryzbubxz. Give prob of picking 1 b and 2 u.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 2*y**3 + (-6*y**2 + 0*y**2 + 2*y**2)*(-44*y - 94*y + 78*y) as g*y**2 + j*y + k + m*y**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1441973 divided by 2.\nAnswer: 1441973\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/((-4312)\/98)*(-58)\/(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2068*t**5*u**2 + t**5*u + 24*t*u**2 + 5*t*u - 2*t wrt t?\nAnswer: 41360*t**3*u**2 + 20*t**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**4 - 2*c + 2*c + 6 - 4*c**4 - 6 + 2*c**4 + 1 - 1 - 4*c**3 - c**4 + 4*c**3 + (3*c**3 + 0*c**3 - 5*c**3)*(2 + c - 2).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*u - 28, -5*u + 4*o = -18 - 6. Find the third derivative of -u*x**6 - 28*x**2 + 8*x**6 + 3*x**6 wrt x.\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4)**(-2\/39)*p**(-3\/8)*p*p*p**(-9) assuming p is positive.\nAnswer: p**(-2365\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3168 - 1872. Is m a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24180, -24134, -24088, -24042, -23996?\nAnswer: -23950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 164\/8*(7 - 5). Suppose 0 = k*n - 5272 - 9693. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 11. Suppose 28 = -2*c + l*c. Let i be 16\/c - 14\/49. Solve -m = -i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 + 576 - 189 + 503*a - 194 - 175*a.\nAnswer: 328*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55 - 566685?\nAnswer: -566751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1290*f + 1 - 3 + 7 + 7 - 1441*f to i*f + z and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**4 + 3777459*u**3 - 1790*u**2 - 4297*u wrt u?\nAnswer: 48*u + 22664754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87.893 or -2?\nAnswer: -87.893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -4*u + 216. Let l be ((-136)\/u - 6)\/(2\/18). Let r = 18 - 34. Let x(k) = 5*k**2 + 3*k. Let m(a) = -26*a**2 - 16*a. What is l*m(f) + r*x(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -245, -3, 3\/4, 0.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/101 > 0.4613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/3))**(2\/45)*(k**(2\/11))**(-39))**26)**(-48) assuming k is positive.\nAnswer: k**(4371328\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*q = -q + 8, 2*o - 12 = -5*q. Let j = 1209\/7 + -173. Which is the biggest value? (a) j (b) o (c) 4\/5 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 100000100011?\nAnswer: -100000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-5 + 11 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 2*k + 2. Let l be k\/(-2) + (-14)\/(-4). Suppose -l*c + 5 = -11. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, a: 1, w: 1, e: 6, j: 1, x: 1}. Give prob of picking 2 e, 1 j, and 1 x.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10) - -27*5\/(-150).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -10. Calculate the smallest common multiple of m and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2*m = -2, -46*m + 4 = -2*z - 50*m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.8406 to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116*u**3 - 298*u**2.\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44\/7 + 2\/7*o**2 + 18\/7*o.\nAnswer: 2*(o - 2)*(o + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, 0.5, 0.4, 1, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**2 + 27867*w**5 - 27876*w**5 - 36*w**4 - w**2 + 303*w + 5 wrt w?\nAnswer: -180*w**3 - 432*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 12*m**2 + 8*m + 25. Let f be y(-11). Let n(u) = -28 - u + f - 30. Let z(r) = -2*r**3 - 3*r**2 - 2*r. Determine -2*n(i) + z(i).\nAnswer: -2*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**33)\/f**38)\/(f**(1\/10)*f*f**(-1\/11)) assuming f is positive.\nAnswer: f**(-7701\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 709814714?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/158 - 289\/1422. Let o = -6 + 6.5. Let u be (-18)\/15 + 8\/80*-28. Sort o, 1\/3, u, b in descending order.\nAnswer: o, 1\/3, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 1. Calculate d(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttstts. Give prob of picking 1 s and 3 t.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*s + 214. Let l be (-2)\/9 + (-25)\/s. Let f = -2.011 - -0.011. Put -0.3, l, f in descending order.\nAnswer: l, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 523*w - 8605. What is f(17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*q = -17, -7*c + 3*c + 4 = 2*q. Suppose 4 = -c*d + d. Let f(t) = t**3 + 4*t**2 + t + 2. Calculate the lowest common multiple of 4 and f(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 1, -4*s + m = 2*m - 383. Does 48 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c. Let n = 19 - 17. Let l(p) = 5970 - 5970 - n*p. Give y(l(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24184067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + p + 1. Let m be t(0). Let q = m - 1. Let u(v) = -v**2 - 8*v - 13. Let x be u(-4). Put x, -0.1, q in descending order.\nAnswer: x, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 - 0.49. Round q to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227 - 227. Solve b = 17*l - 8 + 42 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*3 + 23405\/16610\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4779 + -1949887\/408. Let x = g - -1\/102. Let k = 10 - 5. Which is the closest to -0.2? (a) k (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19b4 + 5?\nAnswer: 19b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.19 + 10.7. Let b = -5.4 - f. Let i = -1.3 + 1. Put 2, b, i, 2\/7 in descending order.\nAnswer: 2, 2\/7, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4674.999l to millilitres.\nAnswer: 4674999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**3 - 2*f**2 - 5*f + 5. Let u(c) = -4*c**3 + 2*c**2 + 4*c - 4. Let m(z) = -z**2 - 2*z + 85. Let v be m(-10). What is v*u(s) + 4*i(s)?\nAnswer: -4*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + 2.03. Let i = -2889.9 + 2890. Which is the closest to i? (a) -1 (b) f (c) 0.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 + 61.159. Let x = -0.069 + o. Sort -4, 2\/15, -1, x.\nAnswer: -4, -1, x, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*(-1 + l + 1 - 1).\nAnswer: -3*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-13))**(-1\/3)\/(((z*z**(4\/3))\/z)\/z*z**4) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-12) + (-19)\/(-4). Suppose 4*n - n - 11 = v, -2*n + 2*v = -10. Solve f - h = 6*f, n*f - 3 = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:23 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -38. What is the lowest common multiple of 6 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 76018635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -405*l**3 + 112*l**3 + 99*l**3 + 106*l**3 + 99*l**3.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/24)\/((-2)\/30*(-385)\/(-154))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1241, 1236, 1217, 1178, 1113, 1016, 881?\n\"Answer: -r**3 - r**2 + 5*r + 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 210\/67?\nAnswer: 210\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310 + 6.163600201?\nAnswer: -1303.836399799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*o**3 - 40206*g**3*o + g**2*o + 39*g*o**3 + 9326*o**3 + 24*o wrt o?\nAnswer: 6*g**3*o + 234*g*o + 55956*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122210201 (base 3) in base 9?\nAnswer: 48721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2 + 2)*(-3*l - 3*l + 4*l)*(-29*l**3 + 115*l**3 + 122*l**3).\nAnswer: 416*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -1\/2*r**6 - 28*r + 0*r**2 + 0*r**4 + 0*r**5 + 0 + 10\/3*r**3. What is the second derivative of a(q) wrt q?\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -3 - ((-23 - -11) + 29).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59\/3 + 179\/9. Let g = 0 + 0. What is the third smallest value in i, 0.1, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p = -30. Solve 0 = 3*w - p*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3623.57+-0.2\nAnswer: 3623.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -234, -0.3, -0.1, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 1081 + 2*a - 1399 in the form z + x*a and give z.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 20*z + 43. Calculate q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-1 - -6) + -2) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + o**2 - 3*o - 1. Let f be t(-2). Is (-2)\/((-2)\/55)*f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/12 (b) -1\/7 (c) -1 (d) -2.6 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20795 divided by -28.\nAnswer: -20795\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**8\/2520 - u**7\/630 - u**6\/540 - 2*u**3\/3 + 1. Let a(g) be the third derivative of b(g). What is m in a(m) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031581 rounded to 4 dps?\nAnswer: -0.0316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -65, -133, -201?\n\"Answer: -68*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 3183629?\nAnswer: 15918145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/8 of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p + 5*p - p + 2*p**4 wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2295\/14, -9\/80 in decreasing order.\nAnswer: 2295\/14, 0.2, -9\/80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 15450244?\nAnswer: 15450236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20202023230 (base 4) to base 7\nAnswer: -25005226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -529793882 divided by -40057.\nAnswer: 13226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1785*r - 1512*r + 4885*r + 2766*r - 2371 + 344*r wrt r?\nAnswer: 8268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/3 + 1\/(-2)*-8. Does 2 divide 4\/(295\/(-75) - q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1381.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 4*t + 0*t + (-4*t - t + 3*t)*(0 - 6 + 5).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (1 - -214))\/(13 + -15). Let u = p + -109. Sort 2, u, 0, 3.\nAnswer: u, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*y - 2 - 9)*(0*y**3 + y**3 + 0*y**3 + (-y**2 - 1 + 1)*(0 - 2*y + 0)).\nAnswer: 6*y**4 - 27*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**50\/(y**0*y*y)**(1\/58)*(y**(-2\/7))**45*y\/y**2*y\/y**(-1) assuming y is positive.\nAnswer: y**(-12564\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, b: 15}. Give prob of sequence rrbb.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 142706057305 - 142706057416.999999941. Let f = c - -112. What is f rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b - 245*b**4 + 8 - 5*b**3 + 246*b**4 - 10 in the form w*b**3 + p*b + d*b**2 + f + r*b**4 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25364 and 3308137.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*f - 1327, 705 = t + 3*f + 43. Is 27 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 64.05. Let c = -2.950001395 + l. Round c to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2369503\/19845 - -2\/3969. Let w = -120 - r. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*j + 20, -2*j + 2 = 3*x + 3. Let t(h) = h**2 - 2*h - 5. Let f be t(j). Let i = 1 + f. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 29. What is the highest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13061310 to the nearest one hundred thousand.\nAnswer: 13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 423121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtwwwqwrw. Give prob of sequence rwtq.\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + g**4)*(-158516 + 98495 + 124777).\nAnswer: 64756*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 1870*q**3 - 9445*q**2 - 11370*q.\nAnswer: 5*q*(q - 379)*(q + 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*j + j, 0 = w + 3*j + 10. Suppose -w = 5*d - 25. Solve 5*n - d = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 23 (b) -0.9 (c) 2\/9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92\/51 - -22979\/12597. Let c = 13036\/2717 + f. Find the common denominator of 51\/10 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2) + -5*-2*sqrt(2) - sqrt(18)*2) + ((sqrt(200) - (0 + sqrt(200))) + sqrt(2) + (-2*sqrt(2))**2 + -4)*-3 + -5.\nAnswer: -16 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/18263 and 41\/10436.\nAnswer: 73052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y - 51*y = 336. Let m be -7*2\/y + (-1478)\/(-3). What is the highest common divisor of m and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -825 - -192. Let t = 1042 + y. Is t a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 2*u + 521. Let l be v(0). Let o = l + -144. Round o to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 1\/30*v**5 + 0*v**3 + 29\/60*v**6 + 0*v**4 + 0*v + 0 + 59*v**2. Find the third derivative of s(x) wrt x.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 16*u. Let b(r) = -r - 1. Let k(f) = 3*f + 2. Let p(c) = -2*b(c) - k(c). Calculate y(p(j)).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93*w**4 + 382*w**3 + 18762*w**2?\nAnswer: 2232*w + 2292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10020200021 (base 3) in base 8?\nAnswer: -174654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(1 + (-4)\/(-8)). Let j = x - 4. Suppose 2*l = -4*v + l + 13, -j*l - 15 = 0. What is the remainder when 4 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*b + 17 = 0, 2*w - b - 19 = -0*w. Solve -p + 7 = z, p - 5*z + w = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18753, 37520, 56289, 75060, 93833, 112608?\nAnswer: 131385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 6)*(-7*q + q + 4*q) + (-3 + 9 + 28)*(0 + 0 + 2*q).\nAnswer: 86*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -14. Suppose -a*t - 4 = -4*t. Suppose -6*v = -t*v - 8. What is the remainder when 13 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 29*r**2 + 5*r**2.\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 56*u**2 - 45*u - 266. What is the tens digit of l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2570 is divided by 943.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3315*u - 5*i = -3311*u + 12, -5*i = -u - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 618*m**3 - 609*m**3 + 1843*m**3 - 6*m**2 - 619*m**3.\nAnswer: -3*m**3 - 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -650 + 650. Let r(h) = -h + 7. Let t be r(5). Let l be 1\/(-5) + (-48)\/10. Sort t, z, l in ascending order.\nAnswer: l, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.2 + 4. Let z = 2 - u. Let k = 0.2000037 - z. Round k to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 + 14 + 82 + -90?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 328643717 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 0*i - 137660*i**2 + 137668*i**2 + 4*i - 4*i.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + a + 1. Let n(i) = 4*i**2 - 2*i - 1. Let o be n(1). Let q(m) = -8*m**3 + 5*m + 3. What is o*q(h) - 5*x(h)?\nAnswer: -3*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 + 25*h - 3. Calculate the least common multiple of 16 and z(12).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 2993?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k + 26*k - 485 = -77*k + 3019 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*x = 8, -6 = -4*g - 2*x + 3*x. What is the units digit of 4 + 19 + g\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (0 - 6)) + (-5 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*u = -33 + 9, 2*r = u + 38. Suppose -r*y = 77 + 3. Put 3, y, -0.5, 2\/9 in descending order.\nAnswer: 3, 2\/9, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 10*y - 95. Let l be y\/7 + -1 + (-50)\/(-175). Suppose 76 = 5*q - 4*t - 67, 161 = 5*q + l*t. Calculate the least common multiple of q and 3.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -1) + (25 - 58) + -20.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*u + 2195 = 419 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2993997, 5987984, 8981955, 11975910, 14969849, 17963772, 20957679?\n\"Answer: -8*q**2 + 2994011*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124806211*f**2 + 50912265.\nAnswer: -249612422*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2682434 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 - 47*u - 286\/3.\nAnswer: (u - 143)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 6 = 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185444, 185413, 185386, 185363, 185344, 185329, 185318?\nAnswer: 185311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.516855 rounded to 0 decimal places?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 5, 8, -27 in increasing order.\nAnswer: -27, 2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c - -5a2?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 5*d - 3*d + (-9*d + 256 - 256)*(-16 - 74 + 27))*(d**2 - 5*d**2 + 2*d**2) as r*d**3 + j + x*d**2 + y*d and give r.\nAnswer: -1138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(2*sqrt(400)).\nAnswer: sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -11*z - 10*z + 7*z. Solve -z*v = p + v - 11, -3*p - 23 = -2*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-20))\/((7\/(-7))\/((-15)\/(-3))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5 - 10632*f**4 + 5862204*f**3 + 31902*f**2 - 17565321*f - 11724390 = 0 for f.\nAnswer: -4029, -1, 2, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - sqrt(91)*2*-4 - ((sqrt(91) - (sqrt(91) + -5*sqrt(91)*-2) - sqrt(91)) + sqrt(91) - sqrt(91)))\/(1*sqrt(63)*-6))**2.\nAnswer: 1300\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*n + 19 = 0, 928*h = 932*h + n - 31 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q - 2*q)*(-4*q - q + q + (-2 - 1 + 2)*(3*q + 2*q - 4*q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 0)*(-110 + 17). Let i = p - 90. Calculate the greatest common factor of i and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10014489*x**2. Let p(o) = -2*o. Give p(b(r)).\nAnswer: 20028978*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -163 at most -814\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 6 + -66 + 68?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*f**4\/4 - 5187*f**3\/8 - 5247*f**2\/4 - 5643*f\/8 - 141\/4 = 0. Calculate f.\nAnswer: -94, -1, -1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 11. Let l be g(4). Let z be 3 - 0 - (1 + -1 + l). Factor -1\/3*r**4 + 2\/3*r**3 - 1\/3*r**2 + 0*r + z.\nAnswer: -r**2*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkikrrkkkikkkkirkkk. Give prob of picking 1 r and 1 i.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 37 + 0)*(11*c**2 - 12 - 15 + c + 25) as u*c + i + q*c**2 and give i.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((270\/(-8))\/15)\/((-3)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 978*h - 142952. What is m(146)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.4, 2.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 9*i - 75. Solve s = 6*s + i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4554244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18.987*25.4\nAnswer: -482.2698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -w - 2*w - 44, -12 = 3*u. What is the remainder when 68 is divided by (-19 - -17)*(w + 1)*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 3\/961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.17 (c) -1\/2 (d) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 7. Let y be x(0). Let i = 47 + y. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m*s - m*y - s*y**2 + 25*s*y + 1282*y**2 with respect to s.\nAnswer: 3*m - y**2 + 25*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 10*h - 7576 = 32114. What are the prime factors of h?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*l + 3504 + 2418. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65, 279, 689, 1319, 2193, 3335?\n\"Answer: 4*s**3 + 74*s**2 - 36*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h = 0. Let q(g) = h*g - 1 - 2*g - 97778*g**2 + g. Let v be q(-3). Round v to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + ((-14)\/2 - -4). What is the third smallest value in k, 4, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25*910\/5250 + (-32)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Find the third derivative of -3*u**5 - 3*u**5 + 4*u**5 - u**2 + i*u**2 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**2 + 12*x - 9*x + 6*x**2 - 5*x - 3. Let w(y) = 3*y**2 - 6*y - 8. Determine -17*c(t) + 6*w(t).\nAnswer: t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -307*y**3\/3 + 21*y**2\/2 - 469. What is the second derivative of x(g) wrt g?\nAnswer: -614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 + 190*k**2 - 7*k - 697. What is w(-95)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 7*u**2 + 5*u + 9. Give k(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18430.\nAnswer: 2, 5, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63298977*s + 72810059 wrt s?\nAnswer: -63298977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*l + 4*g, 3*g - 76 + 4 = -5*l. Calculate the greatest common divisor of 60 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -15. Suppose 4 = w*p - 8. Suppose -p*z = -4*z + 2. Solve -f = 3*b, 0 = 4*f - 6*b + z*b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12315.\nAnswer: 3, 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 14 - -4 - (7 + -3 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 741401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/15 - (456\/(-15))\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*f**2 - 62*f**2 + 0 + 0.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 18. Let c be d(-7). Suppose 4 = -4*w + c. Let h = -7 + 27. Solve w = -2*n - 2*n - h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12))\/((-1208)\/(-1812))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*m + 39, -41*b - 2*m = -44*b - 28 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11794 is divided by 348.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6225*y**3 + 24*y - 24. Let b(o) = -1245*o**3 - 5*o + 5. Give -24*b(l) - 5*j(l).\nAnswer: -1245*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1.79 (b) 2\/59 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35674601 or -35674600?\nAnswer: -35674600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3*q**3 + 344*a**3*q + 4051*a**3 + 19614*a**2*q**3 - 377*a*q**3 wrt a.\nAnswer: 24*q**3 + 2064*q + 24306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/3*39*(-4)\/(-130)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 47*v**2 + 2*v - 20. Let u be w(5). What is u rounded to the nearest 10?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6998395 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*21\/(-2). Let b(d) = d**2 - d + 2. Suppose 0 = -0*k - 5*k + 5*r + 85, -4*k + 2*r + 78 = 0. What is the smallest common multiple of b(v) and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-75)\/30*(-8)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3256486*k**3 + 4109173*k wrt k?\nAnswer: 19538916*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16636 = 866*i - 1550 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 19803?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(475) - (-2 + sqrt(475))) + 2*(2 + sqrt(475)))*-6)**2 - (6*(-5*(sqrt(475) - 1*sqrt(475)) - sqrt(475) - (sqrt(475) + -6*sqrt(475)*2)))**2.\nAnswer: -1641600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1065 and -1.5.\nAnswer: -1597.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l**2 - 18*l + 34*l - 14*l + 3*l**4 + 0*l**4 + 1 in the form v*l**2 + r + t*l**4 + u*l**3 + a*l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*t**3 - 550*t**2*w - t*w + 5*t + w - 23 wrt t?\nAnswer: -198*t - 1100*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*w**2 - 1358*w**2 - 1363*w**2 + 3026*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**3*b*b**(-1)*b\/b**1*b**5\/b)\/((b\/(b\/((b**(-7)*b)\/b)*b))\/(b**(2\/7)*b*b))**(-4) assuming b is positive.\nAnswer: b**(-232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/5 - 81*b**3\/5 - 1773*b**2\/5 - 6079*b\/5 - 4386\/5 = 0?\nAnswer: -43, -34, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 4*n)*(-1 - 2 - 2).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149557.\nAnswer: 347, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389007 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 1 + 14 = 5*j, 5*j = 2*m + 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**3 + l**3 + 2*l**3 + 56 - 9 - 2*l + 140*l**5 wrt l?\nAnswer: 2800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7209884, -14419799, -21629748, -28839731, -36049748, -43259799, -50469884?\nAnswer: -57680003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.076710584 to 3 decimal places.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/72 and -51\/88325776.\nAnswer: 794931984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(sqrt(72) + 0)**2.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/4 - 152*c**3 + 6577*c**2\/4 - 2985*c\/2 = 0. What is c?\nAnswer: 0, 1, 10, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*j + 11 - 1 - 8 - 201*j + 394*j.\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g*i*u**2*w - g*i*u + 2*g*u*w + 2*g*w + 2*i*u**2 - i - u**2*w + 33*u*w wrt g.\nAnswer: 3*i*u**2*w - i*u + 2*u*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/984 and 93\/2?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -85, -167, -251, -319, -353?\n\"Answer: 3*v**3 - 28*v**2 + v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r = -17*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 + 14\/6. Let c be 2\/3*(-45)\/(-10). Find a such that -a**4 + a**3 - 2 - 8*a + 7*a + c*a**m + 0*a**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -16*i + 937. What is q(62)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37366 and 238.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*n = -356*n + 8280. Solve n*q = 43*q - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 20\/7 (b) -3 (c) 4 (d) -0.3 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**5 + 50*i**4 + 45*i**3 - 260*i**2 + 160*i = 0.\nAnswer: -8, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3757 + -3747. Suppose 3*o - 3 = 4*j, 3*j = 7 + 2. Solve 4*h - t + 2 - 8 = 0, -i = o*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.289 take away 132287385?\nAnswer: -132287385.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.5921 - 14.652097. Let s = a + 0.06. Round s to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 6\/43 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36035 or 36032?\nAnswer: 36035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**4\/24 + 8*s**3\/3 - 4*s**2 - 4. Give x(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12404532361 minus -37?\nAnswer: -12404532324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (34\/4 - 7)*(-8 - -10). Suppose -3*w - 9 = -6*w. What is the derivative of -24*n**3 - 41 - 3*n**3 - 21*n**k + 10*n**w wrt n?\nAnswer: -114*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/24)\/5 + (-2420)\/3696?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -1167298.\nAnswer: 3\/583649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1087 = x - 2*x, -4*x + 20 = 0. Let m = c - 113. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 * 115643\nAnswer: 3353647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**4 + b**3 + b. Let v(g) = -3*g**4 + 5*g**3 + 21*g**2 - 5*g - 30. Let c(f) = 4*k(f) + v(f). Let c(s) = 0. Calculate s.\nAnswer: -5, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 - (-27 - (-21 - -18 - -4 - 19)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22248722.\nAnswer: 2, 11124361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 26*x**3 + x**2 + 2. Let f be m(2). Suppose 0 = 3*j + 5*k + f, j - 4*k = -42 - 18. Let z = j - -123. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29400 divided by 1225\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-68 - -73) + -20?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -468928 and -0.5.\nAnswer: -468928.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v + 7. Suppose 29*o - 36 = 26*o. Let h = 2 + o. Suppose 2*d + h = 26. Let j(p) = -7*p + 8. Give d*t(x) - 5*j(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*w, -6*d + 4*d + 2 = -2*w. Factor -1\/5*r - 3\/5*r**2 - 3\/5*r**3 + d - 1\/5*r**4.\nAnswer: -r*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-966)\/(-92))\/(5*4\/(-80))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*k - 78*k - 7*k + 1692 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -784989 + 13?\nAnswer: -784976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3 = -x, -4*x + 12 = -n + 2*n. Suppose 2*d - 8 + 0 = n, -4*z + 112 = 2*d. What is the remainder when 48 is divided by z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t - 3*t)*(47432*t**3 + 40326115 - 40326115).\nAnswer: -94864*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - d - 4*d)*(-9 + 0 + 1)*(0 - 5 + 1 + (1 + 7 - 4)*(-4 + 1 + 2)).\nAnswer: -64*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2666*o = 2657*o - 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**6\/120 - x**4\/24 - 7*x**2. Let z(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -189443?\nAnswer: -37888.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5137 times -8497\nAnswer: 43649089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -211*k - 214*k + 509*k in the form d*k + v and give d.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3407, -3408, -3409?\nAnswer: -3410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 4*q - 3*q**3 + 24 + 8*q as k*q**2 + l*q**3 + n*q + a and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from latalaaaaaatllaalla?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (34\/136)\/((108\/(-8))\/27)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5518 - -6388. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3979 = -5*k + 3041. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7 - 2*z**3 - 5*z**2 - 2 + z**3 + 11*z - 8*z. What is the common denominator of m(-4) and -2 - (2 + (-94)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7 - 1 = 0. Let d = 0 + 4. Sort p, d, 3 in decreasing order.\nAnswer: d, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 51 + 9 = 0. Solve 5*b - 2*r = y, 0 = -2*b + 5*r + 18 + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 2*u + 19, 0*p = 2*p - 4*u + 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**4 + 1\/120*k**6 - 3\/20*k**5 - 14*k**2 + 0*k + 29 - 8\/3*k**3. Let f(h) be the second derivative of c(h). Factor f(j).\nAnswer: (j - 4)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 12*g + 43. Let u be z(13). Suppose -u = -3*s - a, 4*s - 5*a = 26 + 33. What is the greatest common factor of 66 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 x when three letters picked without replacement from {x: 2, b: 2, f: 8}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019098959 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002705 to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/6)\/((-4)\/72)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f**2 + 0*f)*((-4*f + f + f)*(-f + f + 3*f**2) - 2535*f - f**3 + 2533*f - 2*f**3 + 6).\nAnswer: -18*f**5 - 4*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 + 0*i**2 - 18*i**2)*(-7*i + 7*i + 2*i**2).\nAnswer: -28*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -4. Let s be (4 - i)*7\/(-2). What is the tens digit of 29 + -1 + 5 + s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -646.5 + 642.5. Sort -2\/251, 2, -1, o, -0.4.\nAnswer: o, -1, -0.4, -2\/251, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 22874.34 millennia?\nAnswer: 22874340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlzz when four letters picked without replacement from {z: 10, l: 9}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59084436 * -0.7.\nAnswer: -41359105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 4. Let z be g(20). Suppose -c + z = -5*c. Let w(l) = -2*l - 14. What is the lowest common multiple of w(c) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 4*o**2 - 4*o. Let h be f(-3). Solve 0*w = -h*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 3\/7, 4.3, 5 in increasing order.\nAnswer: -1\/5, 3\/7, 4.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00845808949 rounded to 4 dps?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w**2 + 18*w + 8. Let x be p(8). Round x to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let z be 3\/(-1) + 6 - -3. Let p(d) = -8 + 8 - z*d**2. What is n(p(g))?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24980971*g**4 - 135*g**2 - 53481*g + 4 wrt g?\nAnswer: 599543304*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -6552246?\nAnswer: 6552256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 120*p**5 + 21550*p**4 - 545035*p**3 - 333270*p**2 + 209965*p - 23230 = 0. What is p?\nAnswer: -202, -1, 1\/6, 1\/4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 18 = z, -16 = -5*z + 7*z - 5*c. Find the second derivative of 13*h + 30*h**2 + 17*h + 0*h**z wrt h.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221311 (base 8) to base 7.\nAnswer: 430013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 1:59 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - p**2 + 3*p - 1. Let b be s(1). What is the third biggest value in 9, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnngnccnnnnngngcncng. Give prob of picking 4 g.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 904 = 13*n. Is 58 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -805*u**2 - 15*u = 0?\nAnswer: -3\/161, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99*m**4 + 101*m**4 + 163*m**5 + 0*m**3 - 732*m + 28*m**5 + 0*m**3 wrt m.\nAnswer: 3820*m**3 + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1343137.\nAnswer: 31, 37, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1784348095 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/4 (b) 8421 (c) 2 (d) -6 (e) 1\/30 (f) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 - 8*g + 8*g + 2*g**2 + (-4*g - g + 0*g)*(-g**2 - 2*g**2 + 5*g**2) + 5*g - 5*g - 2*g**3.\nAnswer: -10*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6568177, -13136354, -19704531, -26272708, -32840885, -39409062?\nAnswer: -45977239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -897 - 986 = 397*n + 102 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*x + 1 = 0, -4*x = 5 - 1. Let g be (-10)\/(s + (-24)\/(-9)). What is the hundreds digit of (-62)\/6*(-5 + g + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 9 + 4*p + 0*p)*(1 + 2 + 2).\nAnswer: 5*p - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -271b8 - 8a8?\nAnswer: -27a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*z + 14764 - 14757, -21 = 5*z - 11*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -178\/3 - -60. What is the smallest value in 4\/3, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8428 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290049 and 327?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-10) - 78\/4. Let w(l) = l**3 + 16*l**2 - l - 3. Let c be w(z). Let o = -904 - c. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + k**2 - k + 3. Let c be z(0). Suppose -c = -5*x + 82. Let p = -5 + x. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5544 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 7*k = 4*k, -5*u + 2*k = -9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by (-3 + 99\/12)*(-456)\/(-342).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c - 1. Let h(a) = 23*a + 2. Let j(d) = -3*h(d) - 6*p(d). Let t(f) be the first derivative of 2*f**2 + 1. Calculate j(t(k)).\nAnswer: -180*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)\/b)**6*(b**(-2\/3)*b)\/b*(b**(2\/21)*b)\/b)\/(b**(4\/5)*b*b*(b\/(b**(-8)\/b))\/b*(b*b*b*b\/b**1*b)**(10\/3)) assuming b is positive.\nAnswer: b**(-3644\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15477036.\nAnswer: 2, 3, 1289753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2\/11659 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-3)\/6*-4. Let t be 4\/2 - (-3 + 0 + 5). Suppose 4*c + 3*h - 3 = t, -4*c + 4*h = -d*c - 18. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3339, 6677, 10015, 13353, 16691, 20029?\nAnswer: 23367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216)\/sqrt(4))\/sqrt(2) - sqrt(27))\/(-5*1*sqrt(9)) - (2*sqrt(3)*2 - sqrt(432)*2)*-2)*-3.\nAnswer: 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 23395*r**2 - 26735800*r + 1483458340.\nAnswer: -5*(r - 53)*(r + 2366)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 12, r: 3}. What is prob of picking 1 w and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -21*o**2\/2 - 34*o + 28. Differentiate p(x) with respect to x.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 171 and -23.3587.\nAnswer: 147.6413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 + -145. Solve -6*g + t*g + 6 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7019 in -0.4, -2\/13, -7, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -2)*(-1 + (-1)\/(-3)). Which is the nearest to 0.1? (a) 3\/4 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.015812 or 2076?\nAnswer: 0.015812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 1 - 1)\/(2\/19022) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 24*i + 63. Let z be o(-21). Determine u so that -2\/5*u**2 + z - 4\/15*u + 2\/3*u**3 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-5)*(-420)\/(-504))\/1?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*2\/6 - (-1267)\/21. Suppose 60 = 5*k - t, 3*t - s = -5*k + 5*t. Solve 3*o + o = 3*v - k, -o + 20 = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 - 12*b**3 + 6*b**3 - 7*b**3.\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 295 = -5*w, 5*s + 232 = 4*w + 7*s. Suppose 20*g + 1739 = w*g. What is the remainder when g is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1756?\nAnswer: -1\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -256 + 106. Let k(p) = 57*p**2 - 21*p + 9. Let g be k(5). Suppose 0 = 20*y - g - 1671. Calculate the highest common factor of x and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*o + 5*o + 15, 2*t + 2*o + 2 = 0. Which is the nearest to -2? (a) t (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233218 is divided by 3740.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 7*r**2 + 6*r + 21. What is y(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 817992 divided by 9738.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1478 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*sqrt(625)*-4)\/(sqrt(20)*1 + -1*sqrt(5)*-3).\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2*p + 23, -6*q + 2*p = -5*q - 13. Sort q, -1121, 4 in decreasing order.\nAnswer: q, 4, -1121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2 - 29*f + 62 = 0.\nAnswer: -31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*u**3 + 9*u + 57*u**3 - 32*u + 87*u - 64*u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88098, -88097, -88098, -88101, -88106, -88113, -88122?\nAnswer: -88133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -0.1054?\nAnswer: 13.8946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(27\/(-9)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r - 2\/3 + 2\/3*r**2.\nAnswer: 2*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25742*a + 15301 = -25634*a + 1801 for a.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 467, 468, 469, 470?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 14*g**2 + 2*g - 13. Let r be l(14). Suppose 0 = 90*m - 75*m + r. Let a(v) = -9*v - 2. Determine a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1233757 + -12?\nAnswer: 1233745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + m - 36, -5*m - 12 = r - 5*r. Let h(z) = -59*z**3 + 3*z**2 - 6. Let q be h(r). Let t = q - -4430022. Round t to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008.53333 rounded to zero decimal places?\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 637573 + -141?\nAnswer: 637432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 207.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q = x - 268, -3*q = -4*x - 776. Round q to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044869000 rounded to the nearest 1000000?\nAnswer: 3045000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 7*g**2 + 8*g - 9. Let u be z(6). Suppose -u*o = -29 + 8. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = -2*u, 4*w = -13*u + 15*u - 14. What is the third biggest value in -0.3, 748, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3 + 0*s - 3 + 90*s**2 + s. Let n(i) = i**3 + 5*i**2 + 6*i - 1. Let h be n(-3). Is u(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -2, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 361*w**3 - 855*w**2 + 663*w - 169 = 0.\nAnswer: 13\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11043 - -11037.97. Round x to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 1383, 3694, 6951, 11166?\nAnswer: 16351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9324)\/555*10\/(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 6:17 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -118, -226, -334, -442, -550?\n\"Answer: -108*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7149a2 (base 15) in base 8?\nAnswer: 24417447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -46) + (-50 - 9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220 - -16. Suppose 101*r = -28 + 634. What is the units digit of ((-7)\/((-35)\/y))\/(r\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 102? (a) 1\/2 (b) -28 (c) 2\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1226614.438119 + 1226616. Let l = -1.56 + w. Round l to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130412 (base 5) to base 6.\nAnswer: 35351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-243)\/(-36))\/(117\/26)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16616948 a multiple of 737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 25*l - 5*l)*(0 - 1 - 2)*(-1 - 2 + 5)*(5 - 4 - 2).\nAnswer: 126*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i**3 + 541*i**2 + 124*i + 3806. Determine g(-60).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91274.7246 + 91288. Let p = y + -29.2747. Let o = -16 - p. What is o rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -16*a**2 + a - 5. Let r be d(2). Let z = r - -73. Let y be (-3)\/(-2)*(-6 + 2 + z). Let f(t) = -t**2 + 2*t - 4. What is f(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3 + 122*v**2 + 1855*v + 6664 = 0?\nAnswer: -7, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 + 3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44071?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 560 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i + 23. Is z(-10) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 0 - 6 - 2 - 1 + 2 + (-2 + 0 + 0)*(0 + 6 - 3))*(82*i + 112*i + 134*i).\nAnswer: -984*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1146, -2306, -3484, -4680, -5894, -7126, -8376?\n\"Answer: -9*w**2 - 1133*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 64. Let x be (-6)\/r + 524\/(-6). Let k = 134 + x. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24584)\/42)\/(2\/(-3)). Suppose 11*u - p = 1520. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*s + 691 = -105*s - 158 - 1504 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.61*3.8\nAnswer: 2.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -242, -238, -228, -206, -166, -102, -8?\n\"Answer: l**3 - 3*l**2 + 6*l - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 199308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v + 2*v)*(-1 + 0 + 0) - 23 + 23 + 4*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 9. Put 2, x, 1, 7 in decreasing order.\nAnswer: 7, 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13959 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/62740, -2.1, 2\/3, -0.4.\nAnswer: -2.1, -0.4, -9\/62740, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-75)\/36 + 6\/8. Factor 8\/3 - 8\/3*v + r*v**2.\nAnswer: 2*(v - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*h - 6, 2 = 2*h - 0*t - t. Let u(q) = q**3 - 2*q**2 + 3. Suppose -b = b - 32. Calculate the least common multiple of b and u(h).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -28905093803.\nAnswer: -28905093801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p - 2. Let l(z) be the first derivative of 3*z**2\/2 + 2*z - 64. Let w = 2 + 0. Give w*h(s) + 3*l(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 140 = 14*v. Suppose -v*c = 11*c - 525. What is the least common multiple of c and 45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-43200)\/(-14) + (-730)\/1022 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**3 + 3687*y**2 + 246864*y + 243180 = 0.\nAnswer: -1158, -70, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*y - 6615 = 43*y. What is the greatest common divisor of 21 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2245, 0.06, 0?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((18\/(-60))\/(3\/(-6)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = p + 3*p, p - 10 = 4*r. Suppose -5*v - 4*z + 31 = 3, -5*v + 10 = -5*z. Solve p*h = -2 - v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -571, -2089, -5047, -9925?\n\"Answer: -80*q**3 + 2*q + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2*n**3\/3 - 19*n**2\/2 - 2*n - 2950. Determine f(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1357503.\nAnswer: 3, 7, 127, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -153 - -247. 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: Let q(b) be the second derivative of b**4\/24 - b**3\/6 - 78*b**2 - 7*b + 3. Let j(c) be the first derivative of q(c). What is j(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*z**3 + 750*z**3 + 15791*z - 15791*z.\nAnswer: 1037*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2421.905 - -3169. Let i = -749 + v. Let u = i - 0.095. Which is the smallest value? (a) -8 (b) u (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5008 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: Let x(l) = 22*l - 1. Let b be x(1). Calculate the greatest common divisor of 105 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 627.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-25)*b)**4 assuming b is positive.\nAnswer: b**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -41. Which is the nearest to -1? (a) -3 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.2, -1, -2.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26047 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904993 is divided by 7322.\nAnswer: 4387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 14 + 132. Suppose -68*g - 57100 = -x*g. Round g to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - 3*(sqrt(140) - 1*sqrt(140)))\/(2*sqrt(250)))\/((sqrt(84) - sqrt(84)*2*1)\/((sqrt(12) - -2*sqrt(12))*5)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. What is the lowest common multiple of u(6) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 0*y**5 + 0*y**2 + 1\/6*y**6 + 2*y**4 + 85 - 12*y**3 + 0*y. Find the third derivative of c(j) wrt j.\nAnswer: 60*j**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 53*i**2 + 217*i - 19. Give z(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*5)\/sqrt(7))**2*1.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 4. Let g(u) = -2*u**2 - 3*u + 3. Let j(l) = -3*c(l) - 2*g(l). Let d(y) = 3*y**2 + 5. Give -6*d(b) + 5*j(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s - 2. Let g(a) = -21*a - 10. Let m be (15\/10)\/(-2*6\/16). Determine m*g(k) + 11*q(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15\/16 - -107\/80. Suppose 4*t + 2*l + 0 = -2, t + 3 = 2*l. Let u be t + 4\/(-2) + -2. Which is the third smallest value? (a) u (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 24\/(-63))\/(8*(-20)\/(-240))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.44 + -464.44. Let y = j - -463.4. Let s = -3 + 6. Put 1\/11, s, y in decreasing order.\nAnswer: s, y, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 2*g - 2*g)*(g - 5*g + 2*g) - 121*g - 190*g**3 + 96*g**3 + 90*g**3.\nAnswer: -6*g**3 - 121*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 12) to base 2\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -15*g**2 - 11*g + 12. Let j(f) = 7*f**2 + 5*f - 6. Let w(l) = -13*j(l) - 6*u(l). Give w(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/((t\/(t\/(t**(7\/5)\/t*t)))\/t))))\/t**(-7)*(t**(1\/3)*t)\/(t**(-1\/6)\/t))**(-20) assuming t is positive.\nAnswer: t**(-202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 7375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 2 + -3 + 23\/(-23) - -979. Is h at most 977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 4*y = 2128. Is (-1944)\/(-14) + (-16)\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -20*s + 120. Sort -12, s, -1 in decreasing order.\nAnswer: s, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 4*q**2 - 7*q + 2. Let d(p) = -p**2 - 4*p. Let z be d(-5). Calculate u(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcamclnal. Give prob of sequence cman.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 15*p + 22. Give l(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 430785134*v**4 + 468129126*v**2 wrt v?\nAnswer: 10338843216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 = -3*g + 5*z, g + 3*z - 15 = 0. Let a(k) = -2*k - 7. Let l be a(-8). What is the second derivative of 3*d**4 - 6*d - l*d + 2*d**4 + g*d wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4034.\nAnswer: 2, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 19.8 and -0.043.\nAnswer: 19.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 + s**2 + 2*s**2)*(-269 - 1304 - 388).\nAnswer: 3922*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 583613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141735 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 460 = 2*a. Let t be (a\/161)\/((-25)\/(-7)). Put t, -3, -0.4, -1 in ascending order.\nAnswer: -3, -1, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2 + sqrt(8)*1)*6)**2 - -4*(-6*(1 + sqrt(128)) + 1).\nAnswer: 72*sqrt(2) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7920) + -2*sqrt(7920))*-4)\/(-2*sqrt(176)*5 + sqrt(176)).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170075478 to the power of 1\/2, to the nearest integer?\nAnswer: 13041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 - 81. Suppose -5*f = -5*a + 35, 5*a + 4*f - 21 = -22. Suppose -5*b = 5*o - d, 2*b + a = o - 6. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 8:14 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/10)\/((-18)\/135)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(2\/5))\/(n**(-1\/8)*n*n)*(n\/(n*n**(-1\/2)*n*n))\/(n*n**(1\/2)) assuming n is positive.\nAnswer: n**(-99\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -7 (b) -0.3 (c) -1 (d) 5\/2 (e) 3\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*l + 9*k, -2*l = -1950*k + 1953*k + 26 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in -3, 0.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**4 + 2624*u**3 - 123416*u**2 - 2624*u + 123420 = 0 for u.\nAnswer: -1, 1, 51, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 60 = -0*c. Suppose -6*d - 12 = -2*d. List the prime factors of 2\/d - (-92)\/c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.022 + 217.978. Which is greater: 0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 5:47 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**4 + 5746*v**3 + 15424*v.\nAnswer: -36*v**2 + 34476*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 2*j + 4*j)*(-1 + 44*j + 3 - 34*j).\nAnswer: 10*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 10\/(-4)*180\/(-75).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 16*a**2 - 18*a - 11. What is i(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.21 - -0.79. What is the biggest value in 5, p, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 751.0789 millilitres to litres.\nAnswer: 0.7510789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q + 13\/24*q**4 + 0*q**7 + 0*q**6 + 0*q**3 - 15*q**2 + 0 + 13\/336*q**8 + 0*q**5. Find the second derivative of m(l) wrt l.\nAnswer: 260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (24 + -3 + (0 - 13))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**4 - 562140*u**3 = 0. What is u?\nAnswer: -112428, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105) - sqrt(105)*-2 - sqrt(105))\/sqrt(7))\/((sqrt(10)*-1)\/sqrt(2)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 268020 and 1474110.\nAnswer: 2948220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 260701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**4 - 13*l**3 - 12*l**2 + 2*l - 2. Let g(f) = -f**4 - f**3 + f**2 - f + 1. Let h(t) = 2*g(t) + s(t). Determine d, given that h(d) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -41*c - 1146. Let u be v(-28). Solve -u*q - 135 = -123 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3953, -27, 168 in descending order.\nAnswer: 168, -27, -3953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 501939 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 11. Let m be o(-5). What is the remainder when 74\/1 + -2 + m is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*-4*(1*(sqrt(1300) + -1) - ((0 + sqrt(1300))*5 + sqrt(1300))) + -5)**2.\nAnswer: -400*sqrt(13) + 520001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, g: 1}. Give prob of sequence gvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 14. Suppose 0 = -6*i + y*i + 252. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6258 and 0.3355.\nAnswer: -6257.6645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 3 - (6 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 107141?\nAnswer: 107135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 7*o + 3. Suppose -2*c = 3*c - 35. Let x be g(c). Suppose -3*d + 269 = x*f + f, 5*f = d + 322. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/(-10))\/(456\/(-1140))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(112))*1*3 + (-2*sqrt(560))\/(sqrt(30)\/sqrt(24)) + 5.\nAnswer: -4*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -10*q**3\/11 - 16*q**2 - 98*q\/11 + 68\/11 = 0.\nAnswer: -17, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 704 + 0.1.\nAnswer: 704.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x\/(x**(-2)\/x*x))*x)\/x*x\/(x\/(((x*(x**(-8)*x)\/x)\/x)\/x)))\/(x**(-3)*(x\/(((x**5*x)\/x)\/x*x))\/x) assuming x is positive.\nAnswer: x**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - v - 6. Let c be q(-6). Suppose -76 = -4*m + c. Suppose g + 3*x = -g + m, -2*g + 16 = -3*x. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/7, -1, -4, 21?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-42) + 2\/(-3). Let l = 32 - 23. Let p = -13 + l. What is the nearest to -1 in s, p, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7330*p**3 + 51313*p**2 + 3*p + 9. Calculate j(7).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 17 = 5, -131*b + 3*s = -135*b + 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*f**2*p**3 + 148121719*f**2*p - f**2 - 2*f*p**3 - f*p + f - 418512*p**2 wrt p?\nAnswer: 498*f**2*p - 12*f*p - 837024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/77 + 1126\/22. Suppose h = -9*q - 57. Let x be q*10 + 6\/(-3). Is x smaller than -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80*b*c + 2*b - 4124*c - 132395 wrt c?\nAnswer: -80*b - 4124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 0) + (-45 + 84 - 29).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/66*6*(300\/135)\/(-10).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v - 104 = 0. Suppose h + 10 = 2*j + v, -3*h = 2*j. Let b(f) = f**2 - 6. Let o(n) = -2*n**2 + 13. Give j*o(w) - 13*b(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(4896) - sqrt(4896))*-1)\/(5*sqrt(12)\/sqrt(6)*3).\nAnswer: 16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1 (b) -2 (c) -3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18759 = -582*d - 675*d - 10152 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c + 93 = 0. Suppose 4*w + 7 - c = 0. Solve -2*b + 4 - w = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -17*x. Let d(z) = -49*z**2. Determine g(d(n)).\nAnswer: 833*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(((q*q**(-1\/11))\/q)\/q)\/q)\/q*q*(q*q*q**3)\/q)\/(q**(-3)*q\/q**3))**(2\/77) assuming q is positive.\nAnswer: q**(174\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 317861 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5116 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 1. Let x(c) = 6*c**2 + 3*c + 8. Let g(h) = 5*v(h) + x(h). Let n = -10 - -7. List the prime factors of g(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 10621*q**3 - 116920*q**2 - 340196*q - 297696.\nAnswer: (q - 10632)*(q + 2)**2*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*1696577\nAnswer: 8482885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -18. Let q be y\/(-15) - 11\/15. Let g be ((-8)\/(-20))\/(1*-2). Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/5))\/(((l\/(l\/l**0))\/l)\/l))**(-16) assuming l is positive.\nAnswer: l**(-272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a (base 12) to base 6.\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-19) - ((-12)\/15 - (-4472)\/4940). Solve 128*p - 123*p + 4*k = 10, p + k - 2 = q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/3 and 40\/29?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/90*(-7)\/70*15.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8025\/50)\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - k**2 + 1. Let s(f) = 2*f**2 - 2 + 17*f - 17*f. Calculate -2*i(l) - s(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 2*t + 102. Find the third derivative of 71*q**4 + t*q**2 - 28*q**5 - 71*q**4 + 44*q**5 + 35*q**5 wrt q.\nAnswer: 3060*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330933.8 weeks in seconds?\nAnswer: 200148762240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*n + 6 - 1, 0 = 2*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8775, -8636, -8513, -8412, -8339, -8300?\n\"Answer: -d**3 - 2*d**2 + 152*d - 8924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.325 rounded to the nearest ten?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20449657 is divided by 346?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2723676, -5447353, -8171030?\n\"Answer: -2723677*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q + 0*q - 16*q - 3 to j*q + m and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1094981, -2189962, -3284943, -4379924?\nAnswer: -5474905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1287 = -u, -3*z + 0*z + 765 = 3*u. Suppose 342 = 20*n - z. Solve 6 - n = 8*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 38. Suppose 116 - 10 = j*t. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - v**2 - 1 - 1)*((0 - 1 + 0)*(0 - 1 + 3) - 2 - 1 - 1).\nAnswer: 12*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26583 >= 26593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x + 3. Let j(z) = z + 4*z - 4 - 3*z + 4*z. Suppose 154 = 5*b - 3*f + 125, -3*b - 2*f = -6. Determine b*j(u) + 5*t(u).\nAnswer: -6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 377*x + 48472. Calculate u(-129).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + ((-5)\/10)\/((-1)\/(-6)). Let o(f) = -81*f - 2. Let u(r) = 80*r + 1. Let h(v) = 3*o(v) + 4*u(v). What is the units digit of h(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27385985 times -1\nAnswer: -27385985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -5603.63.\nAnswer: 5603.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/11, 0.4, 0.9, -3, -373\/2?\nAnswer: -373\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r. Let c(q) be the third derivative of -1\/12*q**4 + 0 + 0*q + 0*q**3 + q**2. Calculate c(j(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -24.74. Let u = 1.26 + p. Sort 0.5, u, -0.1.\nAnswer: -0.1, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 483944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**7\/105 + 3*y**6\/40 - y**5\/30 - y**3\/6 + 164*y**2. What is the third derivative of i(l) wrt l?\nAnswer: 48*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14574 - -271059628?\nAnswer: 271074202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*s + 24723, 39*s - 44*s = -5*c + 30900. What are the prime factors of c?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1977266, -3954535, -5931804?\n\"Answer: -1977269*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -3*t**5\/20 + t**4\/12 - 3*t - 2. Let g(n) be the first derivative of b(n). Find the third derivative of g(l) wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*a + 1041 = -0*a, -5*a = 5*p - 1065. Let w be 2 + 2846\/p + 0. Let g = w + -78\/5. Is -1 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhht when four letters picked without replacement from {h: 5, t: 7, l: 3, v: 3, e: 1}?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6 + 2*t + 1 + 3 - 3*t. Let l be s(-6). Is (7\/(-3))\/(l\/(-276)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**2 + 22*l**2 + 35*l - 19*l**2 + 17*l to the form u*l**2 + p + z*l and give z.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1069*x + 335. Is d(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 + 1451 - (-11 + 5 + 5)?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 4*m - 18, 0*f + 24 = -5*f - 3*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.47 - 21.37. Suppose 5 = -4*u + 13. Suppose 0 = 2*r, 4*z + 44 = -0*z + u*r. What is the nearest to o in -1, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31724*g + 3393 = 31637*g for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*b - 76*b + 40*b + b**3)*(254*b - 501*b + 287*b).\nAnswer: 40*b**4 + 240*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 200 + 45. Suppose 0 = -d - 4*h + 16, -3*d + h + x = -4*h. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 (base 8) in base 14?\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-60))\/((-3)\/90)*(-42)\/(-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, s: 1, f: 1, h: 2, x: 1, i: 1}. Give prob of picking 1 i, 1 x, and 2 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 85. Solve j + 3 + 1 = -3*v, 0 = -5*j - c*v - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 69 - (14 - ((1 - (7 - 24)) + -5))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*n + 88 = -27*n - 28*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 0*x - 5*x)*(3*x - 3*x - x) + 0*x**2 - 2*x**2 - x**2 + x - 4*x**2 + 16 - 16.\nAnswer: -6*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 904402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3724.04 + 3950.4. What is d rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at most as big as 104431\/10267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h. Suppose -2*l = -5*l. Let o(t) be the second derivative of -2*t + 0*t**2 + 1\/3*t**3 + l. Give x(o(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1398\/20*2817\/(-27). Let y = -7285 - o. Let h = -55\/2 - -30. Calculate the common denominator of h and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r - 3*r - 5 + 2)*(81*r + 8*r**3 - 81*r) to x + m*r + b*r**2 + f*r**3 + a*r**4 and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 43, 172, 429, 856, 1495, 2388, 3577?\nAnswer: 5104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 5*g - 3. Let c be r(-4). Let p = 3 + c. Suppose -2*w + 4*u + 12 = 0, -p*w - 2*u + 48 = 2*u. Calculate the lowest common multiple of w and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1279, -1275, -1269, -1261, -1251, -1239?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-21)*o\/(o*o**(-2\/39)*o*o*o*o)*(o**(-7\/2))**32 assuming o is positive.\nAnswer: o**(-5341\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 2)*(6 + 0 - 1)*(-99*s**3 + 3257*s**2 - 3257*s**2) in the form w + r*s**2 + x*s + d*s**3 and give d.\nAnswer: -1485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/(-25) + 2 + 0. Let l = 616 - -189. Let q = -804.5 + l. What is the fourth biggest value in -1\/2, q, 0.3, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1480, -1490, -1500, -1510, -1520, -1530?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41, 41, 37, 29, 17, 1?\n\"Answer: -2*r**2 + 6*r + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 41. Let k be m(6). Suppose 0 = 3*w - 15, -w = k*x - 150 - 30. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 111110?\nAnswer: -111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1\/4 (b) 1.5 (c) -0.08 (d) 11 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*u = -20, -1263*v + 622*v - u - 10 = -672*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 15. Let p be v(5). Suppose -k - 3*y + 6*y + 14 = 0, p*y + 40 = 5*k. Solve -3*d + k*d = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74 + 91*p - 90*p - 2 to the form o + d*p and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10061817 divided by 33?\nAnswer: 3353939\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2753 = -1246. Suppose l - 2657 = 4*q, q + h = -q - l. What is q rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3564)*-1 - sqrt(3564))\/sqrt(4)*6)**2 - 3*(sqrt(44)\/sqrt(4)*-2 + sqrt(44)*-1)) + 5.\nAnswer: 12*sqrt(11) + 128309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 = -n, -t - 3 = -5*n + 8. Let d(f) = 6*f - 3. Let z be d(n). Calculate the greatest common factor of 45 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + t**2 + t - 20. Let v(z) = 7*z + 23 + 34 + 6. Let j be v(-9). What is b(j)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 104, 123, 142, 161?\n\"Answer: 19*n + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + 4 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + z - 6. Suppose 2*x - 25 = 5*q, -8*x + 3*x + 3*q = -34. Let o(y) = -2*y**2 + 5. Give x*g(l) + 6*o(l).\nAnswer: -2*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 76, 17, -3, 5, 2, -95 in decreasing order.\nAnswer: 76, 17, 5, 2, -3, -4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*-3 + sqrt(700) + 3.\nAnswer: -20*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336683158.\nAnswer: 2, 7, 24048797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 20*i - 22*i. Let z(m) = 18 - 9 + 16 + i*m + 17. Is 6 a factor of z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let m(f) = -2*f - 34. Determine a(m(n)).\nAnswer: -4*n - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 26. What is z(5)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7132 and 3.\nAnswer: 21396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + v**2 + 22. What is t(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -3649.\nAnswer: 3\/3649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 555, 506, 419, 288, 107, -130?\n\"Answer: -g**3 - 13*g**2 - 3*g + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 76, -66, -414, -962, -1704, -2634, -3746?\n\"Answer: p**3 - 109*p**2 + 178*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 12 = 0, 0 = -l - 71*w + 70*w + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -850*k**5 - 4437*k**4 + 9587618*k.\nAnswer: -17000*k**3 - 53244*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54313*a*l**6 - 2*a*l**5 - a*l + 5*a + 5*l**2 + 2*l + 51 wrt l?\nAnswer: 6517560*a*l**3 - 120*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*l - 3777, -l - 5459 = 4*p - 20576. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2090?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18673 times 1960.3?\nAnswer: -36604681.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -530 and 140884372283.\nAnswer: 140884371753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20, -24, -30, -38, -48?\n\"Answer: -d**2 - d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7450.101 millilitres?\nAnswer: 7.450101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3221400785?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -2*g**7\/105 - 2*g**6\/5 - 17*g**5\/15 + 5*g**4 - g**2 + 378. Factor k(d).\nAnswer: -4*d*(d - 1)*(d + 3)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*q - 2*p, -p - 16 = 3*q - 7*q. Suppose 0 = -5*h - q*f, -2*f + 0*f = 5*h. Solve g - 13 - 2 = 3*t, h = -g + 4*t + 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a = 45. Is 3\/5 - 8298\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z - 9*z - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78632785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + 0*a - 3*a**3 - 2*a + 4*a**3.\nAnswer: 6*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 106148 = 21420. What are the prime factors of l?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2 + 3*c. Let l(j) be the first derivative of 2*j**3 - 2*j**2 - 12. Calculate -7*g(s) - 5*l(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/457 != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1394 - 1606. What is d rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from vvssspshw?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -354*u**3\/7 - 15548*u**2\/7 - 170104*u\/7 + 1936.\nAnswer: -2*(u + 22)**2*(177*u - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 1721*j\/4 - 155617.\nAnswer: -(j - 1204)*(j - 517)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-177)\/7847*19)\/((-2)\/(-1))*(-8)\/6. Find f, given that -4\/7*f + 4\/7*f**3 - 2\/7*f**2 + i*f**4 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 10 - 283\/47 - -3. Let g = m - -49\/94. Let j be 2\/15 + 2\/3. What is the nearest to j in -0.2, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 - (2 + -3 - (93 - 92))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/1874519 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**6)\/(l*l\/(l*l**(3\/5)\/l*l*l)*l)*(l**(-4\/7))**(-4\/11))**4 assuming l is positive.\nAnswer: l**(10484\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 225*u = 228*u - 33, 0*z + u - 13 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36401*s**2 + 36401*s**2 - 63421*s**3.\nAnswer: -63421*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -140605?\nAnswer: -14060a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1114, -2276, -3452, -4642?\nAnswer: -5846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, -0.109, -1\/8, 14, -0.5 in descending order.\nAnswer: 14, 4, 0.4, -0.109, -1\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3964, -20, -94 in decreasing order.\nAnswer: 3964, -20, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 56867.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 + 1220?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -561.427 + 561. Let m = 0.45 + t. Let s = 0.137 + m. Is s at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2 + 1360*j - 1357. What is b(339)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41591 (base 11) to base 10.\nAnswer: -60600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -48, -25\/17747, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 1.8. What is k rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 40 = -5*w, -5*w = -2*t - 51 + 18 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -0.05 (c) -506\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 - -3.3?\nAnswer: 92.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 313.58 * -0.2.\nAnswer: -62.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 - 6. Let x be s(-2). Let c(y) = -x + 8*y**2 - 6*y + 8 + 4. Let j(q) = -q**2 + q - 1. Suppose -m - 7 + 1 = 0. What is m*j(b) - c(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 1\/3 (c) 88 (d) 121\/5 (e) 0.1 (f) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2 - 13083*g + 14019210 = 0. What is g?\nAnswer: 1895, 2466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*q + 3729. Suppose 0 = -8*w - q - 1206. Let m = w - -15433\/63. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 7435.\nAnswer: 48\/7435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/7 (b) 198 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - t**2 - 2*t**2 + (-2*t + t - t)*(4 + 4 - 9*t - 5*t).\nAnswer: 27*t**2 - 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 - 3. Let a = -628.3 + 684.32. Let b = -56 + a. What is the closest to 2 in b, m, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 3*h + 4. Let s be r(-4). Suppose 0 = s*g - 7*g - 3. Sort -4, g, 0 in ascending order.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 5. Let k be (80\/g)\/(1\/(-12)). Round k to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12021 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/2, -1\/17, 36, -4 in decreasing order.\nAnswer: 36, 1\/2, -1\/17, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-35)\/14)\/(3\/(-78)). Calculate the highest common factor of 26 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 76*n + 561. Determine w(7).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2427 and 32309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, n: 2, u: 5, l: 1, m: 1, d: 2}. What is prob of sequence jjn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-1 + 0 - -2). Let y = 1295 - 1245. Suppose -7*t + y = x*t. Put t, -4, 11 in increasing order.\nAnswer: -4, t, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*12\/(-36)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 2. Let z = 8 - 10. Suppose 2 + 3 = -i. Sort z, i, o in descending order.\nAnswer: z, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1000805290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 7.93. What is the closest to -1\/3 in -1, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 11*f**2 + f + 16. Let c = 245 + -240. Suppose o + 1 = 0, -c*v = 3*o + 4 + 9. Let l(q) = -2*q**2 - 3. What is v*r(k) - 11*l(k)?\nAnswer: 2*k**3 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -61*l**7\/21 - 5*l**4\/12 + 25*l**3\/6 + 3*l**2 + 1242*l. What is the second derivative of n(w) wrt w?\nAnswer: -2440*w**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13941*g**2 - 170435*g**2 - 252739*g**2.\nAnswer: -409233*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 425 - 420. Solve 0 = -2*f + t*p - 15, 0*f + 25 = -4*f + 5*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 545 = 8*m - 2*f, f + 2 = 0. Let t = -486 - m. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + r - 15. Suppose -y + 3 = -5*o - 3, -2*o = 2*y. Sort 4, r, y in descending order.\nAnswer: 4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eejeeeee. What is prob of picking 1 e and 1 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*a**2*l*x - 85*a*l*x - l*x + 2*l + 808*x - 1 wrt a?\nAnswer: 50*a*l*x - 85*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 33*t**2 + 8*t - 8. Let h(u) = -32*u**2 - 10*u + 10. Let n(c) = -4*h(c) - 5*p(c). Let v(x) = -11*x. Give v(n(d)).\nAnswer: 407*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/2)\/((-18)\/(-4)). Suppose 7 = -21*u - 35. Is g less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - 5)\/(12\/(-6700))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -5162, 2.\nAnswer: -5162, -40, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Suppose -130 = -10*j - 16*j. Suppose 0 = -36*b + 31*b + 2*m + 131, j*b = -5*m + 110. Solve g*t = -t - b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*y + 409. Suppose 8*d - y = 6*d. Suppose 0 = -o + 4 + d. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (10 - (11 - -9)) - (-7 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -11*d**4\/6 - 67*d**2\/2 + 98*d. What is the derivative of q(s) wrt s?\nAnswer: -44*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**3 + 6*x**2 + 48. Let l(u) = -2*u**3 + 6*u**2 + 2*u + 48. Let d(j) = -3*a(j) + 4*l(j). Let p be d(-6). Solve -t + 6*t + 15 = p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 70*m - 756 = 0 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3500897060, -3500897064, -3500897070, -3500897078, -3500897088, -3500897100, -3500897114?\nAnswer: -3500897130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + k. Let d be 5 + -1 + k\/3. Find the second derivative of d*b**4 - 2*b + 2*b - 3*b**4 + 2*b wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/((sqrt(45) + sqrt(180)\/sqrt(4))\/sqrt(5)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Suppose -4*s = 0, -4*b + 9 = s - q. Put 2, -9, b in ascending order.\nAnswer: -9, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j - 83*j + 26925 = 339*j - 30*j for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u. Let b(f) be the first derivative of -f**4\/4 + f**2 - 4*f + 53434. Give b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1\/2*f + 1\/2*f**3 + 1\/2*f**4 - 1\/2*f**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 times -4043?\nAnswer: -2227693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*c - 66. Suppose 4*w - 6 = -58. Let x = w + c. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43\/51558 or 1?\nAnswer: -43\/51558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3. Let h(d) be the first derivative of d + d - 6*d**4 - 5 + 5*d**4. Suppose -3*r + 4*r = -1. What is r*h(s) + 3*j(s)?\nAnswer: s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-1)\/2*-5. Let b = -36 + 145\/4. What is the nearest to 1 in -0.4, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 0, 81, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3257175358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 17 + 3*z**2 - 9*z as k*z + n + w*z**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2415 + 52?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 plus -6212.832?\nAnswer: -6144.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*o + 32628 = -82*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = 33. Let p = q - 8. What is the remainder when 18 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 5 - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5 = 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23917337*z**2 - z + 8314659 wrt z?\nAnswer: 47834674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 50. Let h = 7 + f. Let d = h - -13.011. What is d rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -503, -4924, -16917, -40268, -78763, -136188?\n\"Answer: -631*t**3 - 4*t + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-2)\/(-5)))\/(73355\/(-1437758))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 + 3.8. Let q be (-1 + 3)\/(20\/(-6)). Which is the closest to 0.1? (a) -2 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 2*(-1 - 5). Suppose -4*a = -2*l - 26, 3*a - 4*a - 3*l - w = 0. Let t be a\/(-12)*-3*3. Calculate the greatest common factor of 33 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - d**2 + 2*d - 3. Suppose 2*t - 1 = 3*f + 18, 2*f + 12 = t. Calculate v(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-15)\/(-7) + (2 - 7). What is g in -l*g**4 - 1\/7 + 0*g + 2\/7*g**2 + 0*g**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-10)*(-5)\/10.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2875?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -26\/111447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 1. Determine c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c38 + -8c12?\nAnswer: -cb4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(-1)\/2*(-300)\/(-375). Sort 2, -1, k, -12 in ascending order.\nAnswer: -12, k, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2902903\/10 or -290289?\nAnswer: -290289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d - 3. Let j be (-1 - 0) + -24 + 8. Let r(f) = 20*f + 9. Let z(p) = p**2 - 5*p. Let n be z(3). Let w(o) = j*i(o) + n*r(o). Calculate w(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 11 = 2*o + 27, -69 = 3*n - 3*o. Let d = n - -41. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3078*i**2 - 3054*i**2 + 6153*i**2. Let t(x) be the second derivative of x**3\/3 - 2*x. Calculate t(l(b)).\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58\/171 - (126\/133)\/(-9). What is the closest to 0 in s, -0.5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1992 - 3982 + 1989 - 376*i)*(-i - 5*i + 4*i) to g*i**2 + m*i + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**3 - 7*j**3 + 2*j**3)*(5 + 18 - 3)*(9 + 10 - 28 + 10) to r*j**3 + a*j + l + g*j**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -15. Let m = l + 3.8. Let c = 0.19997 + m. Round c to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 11 = -3*y + 2*j, 3*y - 5*j + 23 = 0. Is 12 a factor of (5 + y - -31) + (1 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.89006 kilograms to tonnes.\nAnswer: 0.01489006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 2. Let q be m(3). Suppose p + 1 = -3*i + 14, 0 = -p + q. What is the smallest common multiple of (5\/2)\/(4\/8) and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7\/g*g*g*g**(4\/3)*g)**9 assuming g is positive.\nAnswer: g**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**5\/45 - 23*c**4\/27 - 10*c - 1. Factor t(n).\nAnswer: 4*n**2*(n - 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1399 and -430?\nAnswer: 1829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 2*k**2 - k + 1. Suppose -3*v - 4*c - 23 + 1 = 0, 0 = 2*v + 2*c + 12. Give a(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4533 - 4274. What is the remainder when l is divided by 119?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 835*b**4 + 3*b**3 - b**2 - 241312*b wrt b.\nAnswer: 10020*b**2 + 18*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 5*j = -5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m - 10. Let g(k) = -4*k + 11. Let q(s) = -2*g(s) - 3*j(s). Calculate q(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 11*c**2 - 17*c - 14. Let d be r(8). Suppose 0 = 50*s - d*s - 1288. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -107089027, -107089023, -107089019?\n\"Answer: 4*w - 107089031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 2*v**2 - v + 69. Does 35 divide z(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*n + 3912 = 33*n + 4352 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -36. Which is greater: r or -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94845039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**3\/3 + 3*s. Let n be ((-2)\/1 - -4) + 2. Let l(x) = -x + n*x + x. Give z(l(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 + 2) - -3 - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 11*s + 27. Let u be q(13). Let a be 21348\/84 + u\/(-7). Is 1\/(0 - (-2)\/a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, j: 2}. What is prob of picking 1 i and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21 - 18*x + 41 - 2 wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 2553*v + 475692. Determine g(165).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*h**2*l**3*m - 4*h**2*l*m**3 - 2*h**2*m**3 - 10*h + 4*m**3 wrt l.\nAnswer: 21*h**2*l**2*m - 4*h**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -10, -62, -144, -262, -422, -630, -892?\nAnswer: -1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 6150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*v + 4*y = -55*v - 30, -5*y + 5 = 5*v - y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 32*j. Suppose 3*p = -11*p + 70. Let b(q) = 3*q - 2. Let g(x) = 14*x - 14. Let a(w) = -21*b(w) + 3*g(w). What is p*s(t) + 8*a(t)?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 722238 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -997 + 405. Let t = 591.9999235 + y. Round t to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-3)\/(-2) + (-3)\/(-2). Solve -l + 1 = d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 44. Suppose 4*p + 3508 = 4*r, o*r - 713 = 4*p + 1918. Is r a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142 - -148. Let g = 114 + s. What is the highest common divisor of 48 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240184003*j**3*k - j*k - 59484626*k wrt j.\nAnswer: 1441104018*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from wwlwwwlwlolllww?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 1 (c) -2 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(704) - (sqrt(704) + 1))*-3)**2 - (5*(sqrt(704) + sqrt(704)*2))**2)*6.\nAnswer: -950347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 9378.8982s?\nAnswer: 0.0155074375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2708 + -2660. Solve 8*q + 24 = l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13*t + 330. Let y be a(-25). Suppose -2*n + y*n + 5*v - 31 = 0, -2*n = v - 23. Let c = 12 - 8. Calculate the remainder when n is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*4\/60*-30. Let p = 343 + -1415\/4. Which is greater: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(9\/8))**(-1\/3)\/((i**(-1\/6)\/i)\/i)**(-44) assuming i is positive.\nAnswer: i**(-2297\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 146465.73 minutes in days?\nAnswer: 101.7123125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-220)\/156))\/((-59)\/(-1239)*-21)\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2215?\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 5*t + 5. Suppose 8*s = -0 + 56. Suppose 0*c + 9 = 3*c. Let q = s - c. Determine m(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487 + 2*b - 553 - 546 + 1586.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-5)*(-11 - 14)*1\/10. Which is the closest to 0? (a) x (b) 3\/5 (c) -3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 66*i - 8. Let h(y) = 14*y - 1. Let p(a) = 5*h(a) - m(a). Let s(t) = -1. Give -p(f) - 4*s(f).\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/5, -1, 2.3, -6723, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 8*u + 5. What is o(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*i**1*i))\/i)\/i)\/i*i*i**(1\/14)*i*i*(i*i*(i\/(i\/i**(9\/7)*i))\/i*i*i)\/(i*i\/(i**3\/i)) assuming i is positive.\nAnswer: i**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2965960 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3801*c + 6. Let i(a) = a**2. Give m(i(b)).\nAnswer: -3801*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 7) to base 13\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6098927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 765642182 a multiple of 1736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13896968*v**3 + 22692071 wrt v.\nAnswer: -41690904*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - 455\/(-26))\/(2*1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 14*s - 5. Let b be g(6). Suppose 5*u = -l + 5*l + b, 4*l = 4*u - 76. What are the prime factors of (l\/(-10))\/(6\/45)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 1540292?\nAnswer: 1540296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - (8 + -28) - (-38 + 0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/115983 and 9\/11.\nAnswer: 1275813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**9\/504 - 1327*n**6\/120 - 353*n**5\/15 - 3*n**2 + 18*n. Find the third derivative of o(u) wrt u.\nAnswer: 120*u**3 - 7962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487149431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 17*f - 30. Calculate the remainder when 94 is divided by -24 - -17 - (-144)\/f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (2 - 0)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -5, -4052227 in descending order.\nAnswer: 1, -1, -5, -4052227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (13 + 11 + (-30 - -2)) - 25?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 71. Put -3\/7, 0.06, i in increasing order.\nAnswer: -3\/7, 0.06, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 t when three letters picked without replacement from {c: 6, t: 7}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -29*q - 50. Let o be g(-2). Solve 5*w - 7*w = o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) 27\/7 (c) -0.01 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363169715 and 1975?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 9*g**2 + 4*g - 135. Let h(q) = -q - 1. Let y(v) = 4*h(v) + k(v). Differentiate y(b) wrt b.\nAnswer: 3*b**2 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -489982*d - 5389806. Calculate w(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*(j\/j**(-1\/4)*j)\/j)*j**7*j*j**(2\/19)*j**(-5\/2)\/j)**47)**(-4\/29) assuming j is positive.\nAnswer: j**(-15557\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 5*f + 7. Let t = 111 - 75. Suppose -11 = -3*p + 4, -3*d - t = -3*p. Let m = d + 12. Calculate h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7422 = 25*u - 19*u. Suppose u = m - 172. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + -0.2. Suppose 4*m + g + 1 = -4, -19 = 2*m - 5*g. Let t be 51\/57 + 1 + m. What is the closest to 2\/5 in t, o, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 8979*r**2 + 4500*r**2 + 4492*r**2)*(-3*r + 5*r + 0*r).\nAnswer: 26*r**3 + 54*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 708752937*i**2 + 2348339*i - 25 wrt i.\nAnswer: 1417505874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 4*i - 3, 10*c - 8 = 6*c - 4*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*m + 26 = 0, 6 = -0*p + 4*p - 5*m. Suppose 0*n - 2*n = -p. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8750*y**2 + 1925*y + 40. Let w(f) = -673*f**2 + 148*f + 3. Let i(a) = -3*v(a) + 40*w(a). What is the second derivative of i(r) wrt r?\nAnswer: -1340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -138, -2, 6, 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 4, -2\/9, 0, -4\/7 in decreasing order.\nAnswer: 4, 0, -0.05, -2\/9, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13699\/146 - -13748\/73. Factor 3\/4*c**3 + 279\/4*c - n - 15*c**2.\nAnswer: 3*(c - 14)*(c - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4440 divided by -191?\nAnswer: -4440\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -3.24, 0.03, -4, -0.21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-110))\/(7\/5)*44\/(-11)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s - 6 = 0. Let a(c) = 279*c + 63. Let m(p) = -9*p - 2. Let o(v) = s*a(v) + 63*m(v). Let l(x) = -5*x + 3*x + 4*x + 3*x. Give 7*l(u) + 4*o(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b + 15*b - 6. Suppose b*y + 15 = -2*y - 3*c, 0 = -3*y + c + 5. Let l be (-6)\/33 - 24\/(-374). Is l smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641?\nAnswer: 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*s - 29*s + 55*s + (-2*s + s + 0*s)*(1 + 3 - 5).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 2*z**2 - 3. Let s be l(2). Sort s, 15, 1 in decreasing order.\nAnswer: 15, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 1\/6*v**4 + 0 + 1\/3*v**3 + 0*v + 4*v**2. Calculate j(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 479 - 8609\/18. Calculate the common denominator of -7\/174 and f.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -116, -180, -280, -422, -612?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44354)\/(-993) + (-144)\/4.\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3128*a**6 + 2208*a**2?\nAnswer: -375360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**5\/2 - 2121*s**4 - 157827*s**3\/2 - 661404*s**2 + 1568040*s - 825600 = 0.\nAnswer: -1376, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69.9999406 + 70. Round a to six decimal places.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208 divided by -4\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*u - 2*u = -28, -5*u = 2*w - 43. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/144 and 29\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10170 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689779 is divided by 791.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + -1 + -1 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -3, 9415707?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.4129 rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -191.78 * 0.4\nAnswer: -76.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -798, -1597, -2396, -3195?\nAnswer: -3994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1639, -1653, -1667?\n\"Answer: -14*n - 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28710 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 5*q = 25, 9*h - 24*q = 4*h - 20*q + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*h + 741*h + 9420 = -228*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**7\/30 + 2*r**3 + 12*r**2. Differentiate d(o) with respect to o.\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1742 - -1742. Which is the nearest to 0.06? (a) q (b) -1\/8 (c) 0.1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 77, 148, 235, 332, 433, 532?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14.73 (b) 0.02 (c) 0.5 (d) 2\/7 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 15*l**2 + 1. Let w be x(15). What is the nearest to w in 4, -1, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 30 (b) 0.02 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2))\/(12\/80). Let a be (-135)\/(-25) - 4\/g. What is the remainder when 3 is divided by (1\/a)\/((-5)\/(-25))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/19 - 14*l**3\/19 + 24*l**2\/19.\nAnswer: 2*l**2*(l - 4)*(l - 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*f + 33*f + 0*f)*(2*f + f - 5*f).\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1015 + -4017\/4. What is the common denominator of s and 24\/13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 179.1887nm?\nAnswer: 0.0001791887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -64. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292346 is divided by 288?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2444 and 1880.\nAnswer: 24440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/12 + (-1470)\/(-252). What is the third smallest value in -4, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26709\/2 + 13355. Factor 81\/2*y**2 - 17\/2*y**4 + 0*y + 0 + 63\/2*y**3 + h*y**5.\nAnswer: y**2*(y - 9)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 945698485 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 9:35 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 6657.\nAnswer: -6661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 11, -4 in decreasing order.\nAnswer: 11, 8, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 38097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2\/7 - 1812*u\/7 + 10728\/7.\nAnswer: 4*(u - 447)*(u - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5 = -5*s, -26 = 5*s - 5*y - 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 967, 1993, 3017, 4039, 5059, 6077?\nAnswer: 7093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 16. Which is bigger: -11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvynaaynnnanzy. Give prob of sequence zv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/5372 and 97\/340.\nAnswer: 26860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**6\/240 - r**5\/120 - r**4\/6 + r. Let m(z) be the third derivative of x(z). What is the units digit of m(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 9333*u**5\/5 + 8893*u**2\/2 + 7575. Find the second derivative of n(b) wrt b.\nAnswer: 111996*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*i = 11, 6*i + 13 = -s + 2*i. Let d be 162*1\/(s\/21). What is d rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.62 - 16. Let w = 0.4 + v. Let f = w + 2.98. Which is the third biggest value? (a) -2 (b) f (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/30)\/(6\/15 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 4*l + 0*l)*((l - l + 2*l)*(1 + 3 - 5) - 2*l - 2*l + 2*l)*(-3 + 3 - 2*l).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 21.8?\nAnswer: 6.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4264225 (base 7) to base 15.\nAnswer: a418a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 690 and 27?\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jkjzqjrjzr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 350\/196 - ((-14)\/(-4) - 2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -2 - 4) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 51705016?\nAnswer: 5\/51705016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.4 (b) 1\/3 (c) -3 (d) 5.3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l**2*q - 13*l**2 + 25*l*q + 2*l wrt q.\nAnswer: 4*l**2 + 25*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-9))\/((-10)\/(-15)). Let 1\/3*m**3 + 1\/3*m**b + 0 + 0*m = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 4. Let v be y(-3). Let q be 3\/((-6)\/(-8)) - v. Suppose -q*t + 4*d = -74, -t + 0*t - d + 34 = 0. Calculate the highest common divisor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 37994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 294569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 + 4. Let b = -64\/77 - -6\/11. Which is bigger: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l - 43*l + 1017*l**2 + 20*l.\nAnswer: 1017*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95190, -94293, -92810, -90741, -88086?\nAnswer: -84845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -1\/10, 3\/5, 0.3, 5 in ascending order.\nAnswer: -1\/10, 0.3, 3\/5, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*4*((-13)\/(-2) - 7). Put -3, g, 5, -4 in descending order.\nAnswer: g, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -492850.6 rounded to the nearest one thousand?\nAnswer: -493000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 < -180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -827*b - 47. What is the units digit of d(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 + -88. Let j(d) = -2*d - 2. Let s be j(u). Let z(q) = 15*q - 22. Is z(s) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 29*m**2 - 29*m + 38. Let h be l(28). Suppose h = f - 12. Calculate the lowest common multiple of 10 and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29045749471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 10 = 5*n, 5*n - 9*n - 5*j = -26. Suppose -w + n*w = -15. What is the remainder when 55 is divided by (-28)\/w*5\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) 0 (c) 101 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*i + t + t, 1 = -t. Let j be (-2)\/(-2)*(i - 1) + 4. Let w be (2\/(j\/2))\/((-2)\/(-8)). Solve 0 = 5*o - w*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**4 + 165*v**3 - 1270*v**2 - 1440*v = 0. Calculate v.\nAnswer: -1, 0, 16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 4)\/(2\/2). Let u = 5 - 8. Let b = -1 + u. What is the second biggest value in s, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 4.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*q + 24 = 0, 22*w + 15 = 19*w + q. Let j = -37\/9 - w. Sort -2, 3, -6, j in increasing order.\nAnswer: -6, -2, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11714, 47550, 107284, 190922, 298470, 429934, 585320?\nAnswer: 764634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Let q(s) = 1. Let h(t) be the first derivative of -t**2 + 6*t - 62. Calculate y*h(p) - 6*q(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**2 - 223 + 208 + 227 - 419 + 207.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 65, 249, 557, 989?\n\"Answer: 62*j**2 - 2*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nql. Give prob of sequence lqn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -26588.382 rounded to the nearest ten?\nAnswer: -26590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Suppose -4*z = -i - i + 4, 0 = i + z - 8. Let k(l) = -l**3 + 6*l**2 + 2*l - 2. Let s be k(i). What is the highest common factor of h and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 23*v**2 + 43*v - 18. Let w be t(21). Solve 0 = w*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 157*b - 1868. Is o(11) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 8587100*l + 17174220.\nAnswer: -5*(l - 2)*(l + 1717422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3113)\/(-348656))\/(-1*(-9)\/24)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 5*l**2 - l + 10. Let t = 55 - 50. Let r be x(t). Solve r*f + 4 + 1 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -23. Suppose 0 = -5*y - n, -4*b - 1 + 31 = -3*y. Is b not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -467 + 957. Let n = c - 142. Suppose -n = a - 5*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496726.\nAnswer: 2, 307, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13925 - 83579\/6. Find the common denominator of -41\/105 and k.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 85\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m. Let w(t) = 130214*t**2. Determine w(x(a)).\nAnswer: 520856*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -34. Suppose -4 = t*y - 82. Suppose -2*l - 5*k + 50 = 0, y*l + k = l + 125. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a - 9. Let q be (-105)\/(-30) + 1\/2. Let y(f) = -q*f + 0*f - 2 + 2*f. Suppose -j = -3*j + 2*z - 10, -j - 1 = -5*z. Determine j*d(s) + 26*y(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 - 6221*b**4 - 354*b - 444*b + 318*b wrt b.\nAnswer: -74652*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:10 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136 + 196. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - d = -2*k + 16, -8 = -2*k - 2*d. Let c(t) = -t**2 + t + 4. Let f(r) = r**2 - r - 5. Let z = 1115 + -1110. Give k*f(q) + z*c(q).\nAnswer: -q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 5*k**3 - 2*k**3 + 3*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 17 - 2 + 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206632 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644*j**5\/17 + 2746*j**4\/17 + 3896*j**3\/17 + 2122*j**2\/17 + 320*j\/17 - 8\/17 = 0.\nAnswer: -2, -1, -2\/7, 1\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*68\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*u - 140 = -110*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*n - w + 153 = 86*n, -3*w + 118 = 158*n - 154*n for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -475*t**3 + 8*t**2 + 4*t + 29489 wrt t.\nAnswer: -1425*t**2 + 16*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 426 - 469 - 226)*(5 - 5 - 7*g**2 + 0*g**2 - g**2 + 0*g**2 + (-5 + 5 - 2*g)*(2*g - 5*g + 4*g)) in the form o*g + l*g**2 + z and give l.\nAnswer: 11210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 68. Suppose -z - 4*v = 15, -2*v - 76 = 3*z + k. Let u be 5\/(100\/8) - 16\/z. Which is bigger: -0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210509596 to the power of 1\/4, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.0746 and 0.2.\nAnswer: -0.21492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**2 + y. Let c(w) be the second derivative of w**3\/6 - 942*w. Suppose 4 = g + 5. Calculate g*f(b) + c(b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4433\/2 + (-2)\/4. Suppose 6007 - d = x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 + 6*p + 2. Let f(z) = z**3 - 8*z**2 + 25*z + 9. Let q(k) = 4*f(k) - 18*l(k). Solve q(h) = 0 for h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(4 - 3 - 10*n + 11*n).\nAnswer: -5*n - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (874\/1311)\/(10\/(-18)*2)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1975494, 1975676, 1975980, 1976406, 1976954?\n\"Answer: 61*c**2 - c + 1975434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 1:51 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -13 + 3*(2 + -1). Let u = -3 - r. Suppose -5*b + 3*j + 15 = -u, -3*b = -4*j - 22. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2*4\/3. Suppose 129*u - 126*u = 5*q + 25, 3*q = -6. Suppose -u*n + 174 = -s*n. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 59.57207 millilitres?\nAnswer: 0.05957207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 - 7*c + 6. Let v(f) = -6*f**2 - 15*f + 13. Give -9*a(d) + 4*v(d).\nAnswer: 3*d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-3\/13))\/(d\/d**(-10))*((d\/d**18)\/d*d*d*d*d)\/d**(-1\/13) assuming d is positive.\nAnswer: d**(-295\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -1103, -2229, -3357, -4487?\nAnswer: -5619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 404, 1782, 4082, 7304?\n\"Answer: 461*c**2 - 5*c - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31298 - 31297.899255. Round r to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 4*q**2 + 6*q - 14. Let v be r(5). Let t = 104 + -40. Let s = v + t. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -8, -3*f - 20 = t + 5*t - 11*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 200937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k**5*(k**(-1))**(-12))**(-21) assuming k is positive.\nAnswer: k**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 3*r + 20. Let w(k) = -2*k - 5*k**2 - 2 + k**3 - 1 + 3*k + 3*k. What is w(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -295612 divided by -263.\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 147*g - 9. Let f(y) = -73*y + 5. What is 11*f(o) + 6*u(o)?\nAnswer: 79*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.5417 in -0.4, -1, -0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3371, -6138, -8703, -11060, -13203, -15126, -16823, -18288?\n\"Answer: u**3 + 95*u**2 - 3059*u - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(4*sqrt(119)*-3 - sqrt(119)))\/(sqrt(49)\/(3*sqrt(7)*-6)*6).\nAnswer: 702*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 + 24 = 65*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -187*k + 1870 - 1767 + 4385 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 - -66. Solve -5*b = l*u - 3, -4 = -5*b - 5*u + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1735 or -5.2842?\nAnswer: -5.2842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 40.2. Let f = q + 3.80019. What is f rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11128*h**4 - 3*h**3 + 681800.\nAnswer: -44512*h**3 - 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 + -1. Let x = 0.6 - 5.6. Which is the closest to t? (a) -1 (b) x (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, 3, 19, -1, 5 in ascending order.\nAnswer: -1, 3, 5, 19, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349626781.\nAnswer: 7, 49946683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1068*j**4*z - 2*j**4 - 78*j**3*z + 4*j**3 - 525*j**2 - 2*j*z + j + 11410*z wrt j?\nAnswer: 25632*j*z - 48*j - 468*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 2*n**2 - 2*n - 1. Let w be a(-1). Suppose w = -r + 1 + 2. Let q be r + -2 + (5 - 0). Calculate the highest common factor of q and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 11. Let x = -11 - -11. Suppose 3*z + x + 3 = 0. Sort 4, z, o.\nAnswer: o, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 4 + -6*(-38)\/(-8).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 1:00 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*u + 55*u - 160*u + 53*u + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Let j be 5 - (-3 - 0 - -6). Let f be 18 + (0 - -1) + -1. Solve -j*z + f = -4*u, -3*z = 3*u + z - t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24985.287 microseconds in days?\nAnswer: 0.0000002891815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6659?\nAnswer: 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 68713*p**2 + 28. Let g(w) = -4754940*w**2 - 1938. What is -14*g(n) - 969*y(n)?\nAnswer: -13737*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589123435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1639?\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**3*q**2*z - 2*l**3*q + 81*l**3*z**2 - 132*l**3 - 2*l**2*q**2*z + 86578*l*q**2*z**2 - l*q**2 + 2*l*q - 240 wrt z?\nAnswer: 162*l**3 + 173156*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z - 6. Let p be y(2). Suppose f - 8 + p = 0. Suppose f*k - 2 = 4. Solve 2*v - k = 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3063876032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(28)\/sqrt(4))*1 + 5 + (sqrt(5) + sqrt(220)\/sqrt(11) - sqrt(5) - (sqrt(80)*-4)**2))*-5.\nAnswer: -15*sqrt(5) + 6375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m - 1553. Let t(n) = -n**2. Calculate s(t(r)).\nAnswer: 8*r**2 - 1553","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/(-66))\/((-4)\/(96\/(-81)))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 1 = 2*r - 0*o, -3*r - 3 = 3*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.31 (b) 1055.7 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n**5\/7 - 5766*n**4\/7 - 303584*n**3\/7 - 4592912*n**2\/7 - 5725920*n\/7 - 266400 = 0 for n.\nAnswer: -259, -30, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -425.1377896 rounded to 2 decimal places?\nAnswer: -425.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 6:44 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 182863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(363) - (2*sqrt(363)*-3)**2)*-4)*-6.\nAnswer: -313620 + 264*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 90.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 + 70. Put t, 5, 8, -1 in decreasing order.\nAnswer: 8, 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2745, 2746, 2747?\nAnswer: 2748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22127, -44257, -66389, -88523, -110659?\n\"Answer: -f**2 - 22127*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 106, -214, -814, -1688, -2830?\n\"Answer: m**3 - 146*m**2 + 111*m + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6632805444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, 13, 20, 27, 34, 41?\n\"Answer: 7*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + s + s)*(2 - 4 + 0) + 0 + s + 0 - s + 3*s - 3*s + 2 - 2 - 2*s + (4 - 2 - 4)*(0*s + 0*s - 2*s) - 210*s + 107*s - 1 + 94*s.\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -126*((-20)\/8 - -2). Suppose -4*w + 68 = -4*h, 0 = -3*w - 2*h - h + c. What is the greatest common factor of 551 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 53\nAnswer: -10\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 103267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5360 is divided by 173?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2192)\/(-2492) + (-1978)\/88021\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15633475 is divided by 12783.\nAnswer: 12649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20015 + 2?\nAnswer: -20013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 219, 759, 1623, 2811, 4323, 6159?\n\"Answer: 162*f**2 + 54*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 191*z**2 - 276*z + 373. Calculate s(94).\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/20)\/((-6)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (31\/((-5425)\/(-60)))\/((-2)\/(-210)*28)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-255726)\/(-113656))\/(1 + 22\/(-16))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41508, 41507, 41506, 41505?\n\"Answer: -g + 41509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44329421 and 785.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 32 = -4*m. Suppose 95*n = 124*n - 6177. What is the remainder when n is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1878 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6806373875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 - 53 - 9)*(-3*x - 2*x + 4*x)*(3 - 2 + 1) - 3*x - x + 3*x.\nAnswer: 307*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3, -8641388?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 19*x**2 + 8*x - 924. Determine v(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -125401.25137287?\nAnswer: -125402.25137287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-39))\/((-28)\/(-182)). What is the common denominator of -62\/3 and (4 - m) + 1584\/(-2496)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 2)\/(3\/(-651)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 - 166.834. Let a = 0.166 - f. Sort a, 0.4, -0.4 in ascending order.\nAnswer: -0.4, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/306 and 125\/19482.\nAnswer: 58446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 28634.21l?\nAnswer: 28634210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elejtattltlljttt. What is prob of sequence llta?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 4, 2, -17, -5 in descending order.\nAnswer: 5, 4, 2, -5, -11, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + 1*sqrt(243) + -1) + 5 + (1*(sqrt(75) + (sqrt(75) - ((sqrt(75) - -1*sqrt(75)) + -5))))**2.\nAnswer: 30 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -11 = 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -78 - -1418?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - e07?\nAnswer: -e19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 0.5 (b) 3\/4 (c) -23 (d) -2\/3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.117 and 0.222?\nAnswer: -0.025974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273 - 273. Solve s = -u - 3*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t - 8. Let g = 0 - -11. Calculate the remainder when i(g) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (64 - (-2 + 5)). Suppose -45 = -3*w + y. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/9, 2, -22, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171474*r**2 + 171932*r**2 - 343386*r**2 + r**3.\nAnswer: r**3 + 20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -41, 524, 12\/11, 0, -3, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**4\/9 + 2*p**3\/3 - 10*p**2\/9 - 2*p\/3 + 8\/9 = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3\/5*n**3 + 0 + 0*n + 3\/5*n**4 + 3\/5*n**5 - 3\/5*n**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 70*f - 23 = -69*f, 2 = 2*c + 2*f. Let b be (-88)\/(-16) + 2\/c. Solve b*v = 5 + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11526695095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 433, 453, 479, 505, 525, 533?\n\"Answer: -p**3 + 9*p**2 + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/5)\/q*(q*q*q**(-1\/3)\/q)\/q assuming q is positive.\nAnswer: q**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w - 97965 = -5*n + 70*w, 3*n = -4*w + 58807. What is n rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*m**2 + 80*m**3 - 11*m**4 + 5*m**4 + 46*m**2 + 11*m**4.\nAnswer: 5*m**2*(m + 1)*(m + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180224 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-108)\/10)\/((22\/(-15))\/11) is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, 1469, 713, -4 in descending order.\nAnswer: 1469, 713, 2, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + k**2 - 4*k - 1. Let y(w) = -7*w**3 + 6*w**2 - 214*w + 8. Let c(l) = 24*r(l) + 3*y(l). Find the second derivative of c(n) wrt n.\nAnswer: 18*n + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m. Suppose 2*j - 214 + 32 = m. Suppose -6*f = j - 373. Calculate the remainder when f is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26, -44, -62?\n\"Answer: -18*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*r + 82 = l, -3*l + 2*r + 118 = 0. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, k: 1, x: 3, p: 6}. What is prob of picking 2 s and 2 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 2\/23, -85\/47.\nAnswer: -85\/47, 2\/23, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 226.822763069 less than 7?\nAnswer: -219.822763069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 65575481 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 5*i**2 + 5*i - 6. Suppose 14*u = -1146 + 6466. Let g = u - 376. Determine k(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(1\/20)*c*c*c)*c*(c*c**(-32)*c)\/c*(c**30*c)\/(c*c*c**(-1\/21)))**(-13) assuming c is positive.\nAnswer: c**(16393\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 + 25*y**2 - 13*y**2 + 8976 - 8976.\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641274 is divided by 410316?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oovr when four letters picked without replacement from {v: 3, o: 2, r: 2, l: 4}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -124, 5, -2, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 - -80. Calculate the remainder when 148 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -10, 14*j - 8 = 17*j - 4*f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912*f**2 - 912*f**2 + 13*f**3.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -8, 3, -34, -149, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*v + 170 = 0, 2*x - 165 = 3*v - 6*v. What is the second derivative of -3*p - 78*p**5 - x*p + 175*p**5 wrt p?\nAnswer: 1940*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14231\/129515 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*9\/(-108)*(-30192)\/459)\/(4\/18).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - -1111012?\nAnswer: 1111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6029 is divided by 273?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 7 + 27. Let u be 0\/2 - 1*-4. Suppose 2*a = -2*d - 0*a + 18, u*d + a = 21. Solve x - 5*x = 4*o, d*x + h = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59396*a**4 - 417*a**3 + 993*a**2 - 10*a + 267.\nAnswer: -1425504*a - 2502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 11*v - 5. Let q be w(10). Solve 2 - q = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/630 + d**4\/84 - 2*d**3\/63 + 84*d**2. Suppose m(a) = 0. Calculate a.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 78\/(-28)*(-32)\/(-24). Let -r*x**2 + 0 + 4\/7*x = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 1113*i**2 + 21516*i - 16. Calculate n(-19).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) 2 (c) 0.1355 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((5*(sqrt(95) + sqrt(95)*1))\/(sqrt(5) - (sqrt(80) - sqrt(5))*2) + 0)**2 + -3.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 847158*t + 0.\nAnswer: -847158*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383680.\nAnswer: 2, 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368, -328, -262, -170, -52, 92, 262?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.91 + -23. Let d = i + -0.01. Let x = -9 - -6. Which is the second biggest value? (a) d (b) x (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((13\/12)\/13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/3 (b) 7 (c) -1315\/2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9313631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izuzcziuoaii. Give prob of picking 1 c and 2 i.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c - 10 = 2*t - 554, -72*t - 69*t - 32 = 6*c - 2*c - 145*t for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 815*g**4 - 3267*g**3 - 47*g**4 - 169*g**4 + 3*g**5 + 1030*g**4 + 1166*g**2 + 469*g**2.\nAnswer: 3*g**2*(g - 1)**2*(g + 545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 172.3, 82.\nAnswer: -3, 82, 172.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.213 times -15596.9\nAnswer: -18919.0397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2736)*-1 + sqrt(2736)*1 + 3)**2 - ((-4*sqrt(2736)*2*3)**2 + 4).\nAnswer: -1575904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/2 + 14980*i**2 - 227981637*i\/2 + 26715575601 = 0. Calculate i.\nAnswer: 242, 14859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4271061988 and 7796?\nAnswer: 7796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4346 take away -0.05?\nAnswer: 4346.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1204 times -0.0322\nAnswer: -38.7688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*w = -15, 3*w + 1 = -o - 0. Let m be ((-6)\/o)\/((-2)\/104). What is the highest common divisor of m and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37699921?\nAnswer: 7, 23, 234161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-3) + -3 - -58. Let b = -78 + z. Let u = b + 36. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 29 + 16. Let y(b) = -b**2 + 10*b + 8. What is the tens digit of y(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, k: 1, j: 2, n: 3, w: 2, y: 3}. What is prob of picking 1 r, 2 w, and 1 n?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**3 - 3*s**3 + 2*s**3 + (-2*s**2 + 0*s**2 + s**2)*(0 - 2*s + 0))*(-s - 2*s + 11*s) as j*s**2 + x*s**4 + r + l*s**3 + a*s and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6642\/5 + -1328. Let g be 2\/(-1) + 1*-33. Let q be g\/(-14)*(-3 - -1). Put z, q, -4 in descending order.\nAnswer: z, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c5b1 - 2?\nAnswer: -2c5b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*2*-2)**2 + -4.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 2\/3 (c) 7025 (d) -111 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 + 2*a**2 - 2. Suppose 38*g - 15 = 61. Let o(z) = -10*z**3 - 7*z**2 + 7. Calculate g*o(t) + 7*x(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times 0.263\nAnswer: 0.04997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 11*u - 26. What is d(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -913*n**4 - n**3\/3 - n**2\/2 - 343*n + 6740. What is the second derivative of f(x) wrt x?\nAnswer: -21912*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -224 - -134. Let r = 89 + h. Is r greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*x - 359*x = 2*i + 1, 0 = -4*x + 2*i - 4*i + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681914*h**2 + 0 - 1363904*h**2 + 681927*h**2 + 0.\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.837 + 6.937. Sort -1\/10, 0.4, n, -0.06, 0.09 in descending order.\nAnswer: 0.4, n, 0.09, -0.06, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*m + 8*m. Solve m = f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 z when three letters picked without replacement from zzzzdvzdd?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 10. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 4 + (53 - 40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - ((-16 - -7) + 18). List the prime factors of (-10104)\/(-11 + 15)*u\/6.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4 = -1934*i + 1932*i, 2*i + x + 2 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -904533 by 43073.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s**3 - 1756*s**2 - 2660*s + 1768 = 0. Calculate s.\nAnswer: -2, 1\/2, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/22 - (3 + -1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 45. Let u be c(0). Let x = u + -25. Suppose 3*t + 5*y + 2 = 4, -3*t = -4*y - x. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzysymb. What is prob of picking 1 m, 1 b, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2\/2 + 53280*q - 473126400 = 0.\nAnswer: 17760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 - k**2 - k - 1\/3.\nAnswer: -(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(-2)\/45*-2. Let m = -6.9 - -7. Put m, w, -4 in descending order.\nAnswer: m, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1715889*o + 6863560. Calculate p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 48*g**2. Let h(q) = -4*q. Determine h(f(d)).\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 558, 1119, 1680, 2241, 2802?\n\"Answer: 561*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4*u - 2*u)*(-u**3 + 0 + 0) + u**4 - 1 + 1.\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a = -4*a + 4*z - 72, 5*a - 3*z + 16 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101 - 10?\nAnswer: 10100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -10*u**3 - u**2 - u - 3. Let h(w) = -11*w**3 - w**2 - 2*w - 4. Give 3*h(i) - 4*n(i).\nAnswer: 7*i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592662 and 18849.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 143 = -p - 0*p, 0 = 4*p + 4*q - 604. Let z = -96 + p. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -9. Let w = 7 - s. Suppose 3*m - 11 = w*m. Solve -1 = -5*c - m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -135\/148 (b) 0.16 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6*u + 66. Let z = -47880 + 47854. Is u at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -102809, -102925, -103041, -103157, -103273?\n\"Answer: -116*h - 102693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375070, -375057, -375044, -375031, -375018?\nAnswer: -375005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -2 (c) 5 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -1.1. What is the closest to 1\/2 in -0.4, j, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 + -69 + -26 - (15 + 1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - i. Let m(q) = 13*q**3 - 243*q**2 - 4*q. Determine m(u) - 6*s(u).\nAnswer: u**3 - 243*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 71*p + 245. Let z(a) = -6*a**2 + 214*a - 737. Let x(k) = -17*d(k) - 6*z(k). What is the first derivative of x(m) wrt m?\nAnswer: 4*m - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**3 - 6*n**2 + 12*n + 1. Factor x(k).\nAnswer: 3*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 5*y**2 + 2*y - 8. Let a be x(6). Let o = a - 16. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11618 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 8*t + 2. Let r be d(-6). Suppose 0 = -q + r + 5. What is the remainder when q is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 224*y - 2470. Let n be a(11). Let g(p) = -p + 1. Let d(k) = k + 1. Give n*g(x) - 3*d(x).\nAnswer: 3*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/12 - -4)\/(35\/42)*(-9590)\/274?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11609 rounded to three decimal places?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2586950\/1302 - (4\/(-42) + 0).\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33510.00036 - -33493. Let g = -15 + 32. Let k = g + i. What is k rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307, -310, -315, -322?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 696 - 457. Let c = 387 - y. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 32484.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1491, -2393, -3297, -4203?\n\"Answer: -h**2 - 899*h - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 2 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 971 by -6955.\nAnswer: -971\/6955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10701 = 2*o, 4*o + 1537 = y - 2040. What are the prime factors of y?\nAnswer: 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69233452?\nAnswer: 2, 17, 401, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 184 + 32. Suppose 4*v - m = -24. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -13 - (36 - 21 - 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 144048.\nAnswer: -7\/36012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 24*d + y = 38*d + 10, 3*d = -5*y + 27 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 13*m = -108. Suppose -9 = -2*c + m. Solve 0 = 3*l - c + 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-102)\/1581 - (628\/(-124) + 5). Factor z + 0*t + 1\/3*t**2 + 1\/9*t**3.\nAnswer: t**2*(t + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -67*a + 6690. Calculate o(101).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -17*k**2 + 3*k. Let s be w(-2). Let j = -52 - s. Calculate the highest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1009.2 - 1173. Let u = 102 + -280. Let k = u - x. Round k to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299841724 to the power of 1\/2, to the nearest integer?\nAnswer: 17316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 18986544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596342 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -u + 4*k, 1 = -3*u - 4*k + 17. Suppose -2*v + 4*s = 0, v - 3*s + 0*s = 3. Let t = u - v. Solve -t = 4*q - 2*h, -14 - 2 = 3*q + h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.7 and -312551.\nAnswer: -312550.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -24. Let f be -2*(-3)\/42*3. Is h at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 57 = 113 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -211 in 0, -0.5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*f - 253*f = 3202 + 4154. What are the prime factors of f?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -23002*u**3 - u - 1. Let i = -69 - -68. Let r be x(i). Suppose 0 = -11*l - 3*l + r. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 b when three letters picked without replacement from ebeeebebebebbb?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 at most -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**2*i**3*q**2*v + 61*h**2*i**3*q**2 + h**2*i*v - 4239*h**2*q**3 + 4*i**3*q**3 + 2*i*q**3*v + 2*q*v + v wrt q.\nAnswer: -25434*h**2 + 24*i**3 + 12*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 607.2 - 1227. What is q rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*j**2)*(-3*j**2 + 0*j**2 + 4*j**2) + 186*j**4 - 180*j**2 + 638*j**2 - 184*j**4 to the form s*j**4 + q*j**3 + o*j + p*j**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14380072 by -14.\nAnswer: -1027148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139212 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4\/4 + 3*a**3\/4 + a**2\/2 - 3*a + 2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 7, 15, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 19 = 3*v, 60865*x + 5 = 60864*x + 2*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -470*a**3 + 2*a**2 + 2*a + 1. Let p be t(-1). Find the third derivative of -4*y**2 + 428*y**3 - p*y**3 + 1 - 8*y**2 - 7*y**2 wrt y.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*x - 30, -x + 27 + 36 = 5*w. Suppose 3*b + 9 = 2*v - 4*v, 0 = -2*b + v - w. What is the units digit of (-1)\/b - 4\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5\/3, 2\/17, -0.5, -0.3, 0.02?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 + 2*j**2 - 2. Suppose 2*f + f = -4*u + 9, -2*u = -4*f - 10. Let i(n) = -n**2 + 1. Give f*x(z) - 2*i(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 90414, -5 in descending order.\nAnswer: 90414, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -443716 by -92.\nAnswer: 4823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10488?\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:20 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*o + 12, -4*o - s + 7 = 4*s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t = 0. Suppose t = 6*c - 7*c. Suppose 4*x - 2*s = -c*x + 3556, 5*s = 2*x - 1778. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 58 - 168. Let s = x + -16. Let t = 14 - s. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = -11. Suppose -5*y + 3*a = k*a - 551, -5*y + 5*a + 555 = 0. Round y to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1246, 5, -489, 0.08?\nAnswer: 1246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100006582?\nAnswer: 2, 13, 113, 34039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t + 0*t**2 - 1\/3*t**3 + 0. Let x(j) be the first derivative of j**2\/2 - 12. Give n(x(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**8\/48 - n**5\/30 + 6*n**2. What is the third derivative of u(i) wrt i?\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.394 tonnes in nanograms?\nAnswer: 95394000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(j - 3 + 3) + 54*j + 113*j + 18*j.\nAnswer: 187*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*i + 137 = 117, -5*z - 4*i - 31 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**4 + 31960*x**3 + 51358410*x**2 + 913521680*x - 964912055 = 0. What is x?\nAnswer: -3187, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 16*s**2 - 3 - 1\/12*s**4 - 11*s - 1\/6*s**6 + 1\/6*s**3 + 0*s**5. What is the second derivative of v(m) wrt m?\nAnswer: -60*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010100000 - -1000100?\nAnswer: 110011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11168.007 months to years.\nAnswer: 930.66725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.151995 + 0.221995. Let t be 1 - (-1 - -2) - 0. Suppose -3*r + t = 6. Which is the second smallest value? (a) j (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (17 + -35)*(-40)\/3 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -41*g**3\/5 + 27226*g**2\/5 - 269468*g\/5 + 2616 = 0. What is g?\nAnswer: 2\/41, 10, 654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2dab (base 16) to base 9\nAnswer: -17030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 735*r - 5812. Let q be i(12). What is the highest common factor of 448 and q?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 9 - (-4 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264\/10 - (-6)\/(-15).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -5*m**4 + 0*m**5 + 0*m**7 + 0 + 0*m**6 - 2*m**2 + 3\/16*m**8 + 0*m**3 + 12*m. What is the second derivative of b(d) wrt d?\nAnswer: 1260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*(((-81)\/2)\/3 - 2). Suppose -m - 4*k = -184, t = m + k + 2*k. Does 32 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 18 = -5*w + 4*b, 5*w + 2*b + 29 = 0. Let v(y) be the third derivative of y**4\/12 + y**3\/2 - 3*y**2. Calculate v(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*4\/(8\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-27)\/(-18))\/(3\/8). Suppose 0*q - 2 = -3*d - 2*q, -d - y*q - 6 = 0. Solve 5 = -d*z + 5*f, -4*f = -2*z - 0*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*f + f, -2*u = -3*f + 3. Let s be 9*(u\/(-18) + 0). Suppose -5*g - 681 = -s*y, -4*y + 962 = -4*g + 62. Does 32 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 31. Suppose 87 = 4*f + r*k + 3*k, -4*f + 4*k + 132 = 0. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k\/k**(-1\/5))\/k))**(-12) assuming k is positive.\nAnswer: k**(-108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**26\/m)\/m*m*m**(2\/5)*m**(-3\/13)*m**(-12))**34 assuming m is positive.\nAnswer: m**(31314\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, p: 2}. What is prob of picking 1 p and 1 v?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*a, -5*a + q = 3*q + 12. Let h be a\/(-8) - 9\/(-6). Suppose 0 = -h*n + n + 40. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208878720*4.\nAnswer: 835514880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**2 + 184500*d + 922600 = 0.\nAnswer: -5, 46130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 - -6 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - g - 13 = 0, -5*c + g - 1 = -22. Calculate the remainder when ((-10)\/3)\/(1\/(-3)) is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**3\/2 - 6*z**2 - 28*z - 1. What is the lowest common multiple of 171 and l(11)?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 203052, 203053, 203054, 203055, 203056, 203057?\n\"Answer: m + 203051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - -351. What is the remainder when k is divided by 249?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7465 + 74539\/10. Calculate the common denominator of r and 29\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -192, -1169, -3768, -8799, -17072?\n\"Answer: -135*l**3 - l**2 - 29*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-2 + 3 + -1 + (sqrt(98) - (sqrt(98) + -1 - sqrt(98))) + 4)*3)*2)**2.\nAnswer: 3360*sqrt(2) + 5128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39721.79ug in tonnes?\nAnswer: 0.00000003972179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njjjjsjjjs. Give prob of picking 2 j.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**2 - q - 5. Let b(w) = -12*w**2 - w - 9. Give 3*b(u) - 5*i(u).\nAnswer: -6*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((4 + (2 + (sqrt(1573)*-1 + 0 + sqrt(1573) - sqrt(1573)))*4)*-5 + 0))**2.\nAnswer: -660000*sqrt(13) + 15820000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 57, 51, 45, 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.1, 14, 52, 6\/17 in ascending order.\nAnswer: -3, -0.1, 6\/17, 14, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*w**3 - 2\/7*w**2 + 2\/7*w + 2\/7.\nAnswer: -2*(w - 1)*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-2 - -15) - (-20 - 0) - 1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/3 - 4*b\/3 = 0. What is b?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65a (base 16) to base 7.\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 z when four letters picked without replacement from {z: 12, t: 3}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g = -g - 234 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 96 = -4*x, 8*x + 5*g + 57 = 10*x. Which is the nearest to -2\/5? (a) -5 (b) -2\/23 (c) x (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/5)\/1 + 2. Let w(y) = 4*y**3 + 2*y**2 - 3*y + 1. Suppose -6*c - 11 = -17. Let p be w(c). What is the nearest to 1\/4 in x, p, -0.06?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*k - 3*k. Let t(s) be the second derivative of -s**3\/6 - s. Let h be t(-4). Solve 0*y + 4*y + 5*w - 19 = 0, 0 = h*y + 3*w - k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 117?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47220, -47248, -47278, -47310, -47344, -47380?\n\"Answer: -g**2 - 25*g - 47194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l - 1. Let d(x) = x**2 + x + 1. Let b(t) = -2*t**2 + 4*t - 4. Let u(m) = b(m) + 3*d(m). Let n be u(-7). Determine w(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18372, 36713, 55054?\nAnswer: 73395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202100121023 (base 4) to base 13.\nAnswer: -1b25547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1160 and 51\/22475.\nAnswer: 179800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**2 - 7191392*z - 7191396 = 0. Calculate z.\nAnswer: -1, 1797849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*u = -c + 110*u + 8, u = -5*c + 28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1))**(-22)*(b*b**(-2))\/b*b**1 assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1370061 and 133\/12.\nAnswer: 5480244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 2\/13, -1.2082, -0.2, -1\/8, 0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5570694.18 to the nearest one thousand.\nAnswer: -5571000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 28585.\nAnswer: 54\/28585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-216)\/10)\/(6*9\/(-1215))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638 = -1061*y - 5728 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.5191 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 48*i**2 - i. Suppose w = 2*w - 50. Suppose 0 = m - 3*m + w. Calculate the remainder when x(-1) is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4425 times 0.05\nAnswer: 0.022125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-8) + 1113\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 997?\nAnswer: 1\/997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-five halves of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9*p + 16 = 0. What are the prime factors of 8\/10*(-150)\/p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51918118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6461, 6456, 6437, 6398, 6333, 6236, 6101, 5922?\n\"Answer: -l**3 - l**2 + 5*l + 6458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 368196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1822*w + 1551 = 1775*w for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-837)\/(-162) + (-2)\/12. Solve b = y*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -5\/36?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**8\/12 - 8*x**5\/15 + 10*x**2. Find the third derivative of t(h) wrt h.\nAnswer: -1680*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**7\/10 + 29*v**6\/24 - 203*v**5\/12 - 7521*v**2. Find the third derivative of n(g) wrt g.\nAnswer: -504*g + 870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.2282 and -5.156.\nAnswer: -2.9278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 21 + 39. Let v be 13\/5 + u\/(-25). Let d(c) = c**3 - 4*c**2 - 2. Calculate d(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6019, -24325, -54855, -97609, -152587?\nAnswer: -219789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = -3*r - 5*f, -r = -3*f - 13. Solve -r*v = 3*w + 10, -w - 2*v - 4 = -0*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35*-0.04\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8468*b*l**3 - 3*b*l**2 - 451*l**3 - 14*l**2 - 23386*l wrt l.\nAnswer: 50808*b - 2706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*r = -1274, 777*c = 782*c + 4*r - 3149. Calculate the remainder when c is divided by 111.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7719 minus 310264?\nAnswer: -317983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -185*d**2*p**3 - 425*d**2 - 2*p wrt p?\nAnswer: -555*d**2*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 57\/4, -4, -0.39, 8, -0.4 in decreasing order.\nAnswer: 57\/4, 8, -0.39, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 - 15*n**2 + 9*n + 8. Let o be w(-8). Suppose -2*d - 15 = -5*d. Suppose d*f - 312 + 72 = o. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 5*u + 0*u - 15*u + 21*u + 12.\nAnswer: u + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhrhxrrh. Give prob of picking 2 h and 2 r.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/(-57)*27\/(7992\/32).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 + 18*i**2 - 6*i - 11. Let f = 40 - 51. Let a(s) = -s**3 + 6*s**2 - 2*s - 4. Give f*a(t) + 4*l(t).\nAnswer: -t**3 + 6*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by 1181.\nAnswer: -34\/1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -608.27 - 5013\nAnswer: -5621.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*k - 312*k + 33 - 325*k - 324*k + 61 + 1284*k.\nAnswer: -k + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 22. Let q(u) be the third derivative of 0*u + 0*u**4 + 0 - 1\/60*u**x + 0*u**3 - u**2. Let f(t) = -8*t**2 + 2*t + 1. Give f(y) - 6*q(y).\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j*j*j**12*j)*j*j*j*j**(-2\/25)\/j*j*(j\/(j\/(j\/j**(2\/47))))**2 assuming j is positive.\nAnswer: j**(-9594\/1175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1\/6, -11, 16, 0.016 in ascending order.\nAnswer: -11, -2\/9, -1\/6, 0.016, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10461 (base 13) to base 9.\nAnswer: 44183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 701 - 231 = 0. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-6 - -2)) + 3 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110023223 - -23?\nAnswer: -110023200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 17*j**3 + 70*j**2 - 17*j - 36. Let p(x) = -4*x**3 - 18*x**2 + 4*x + 8. Give 9*p(q) + 2*r(q).\nAnswer: -2*q**3 - 22*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 183 - (87 + -112 + 103)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76.63 + 76.03. Which is the closest to v? (a) 3\/4 (b) -1.2 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10938)\/21)\/((-14)\/49) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - j**3 + j + 2*j**3 - 5 + 1. Suppose -q + 203*b - 202*b - 9 = 0, -45 = 3*q - 5*b. What is l(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33361*j*v**3 + 2868*j*v**2 + 6*j*v wrt v?\nAnswer: -200166*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132923192*x + 95422740 wrt x.\nAnswer: 132923192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 365772.2 micrometers?\nAnswer: 0.0003657722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**6\/6 - p**5 - 589*p**4\/4 - 2*p**3\/3 + 258*p - 13646. Find the third derivative of c(u) wrt u.\nAnswer: -60*u**2 - 120*u - 3534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*k**5 - k**4 - 13*k**3 + 235*k**2 + 3198 wrt k?\nAnswer: 1080*k**2 - 24*k - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**5 - 58855*g**3*z - 29*g**2 + 94990*g*z wrt g.\nAnswer: 240*g**2 - 353130*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.5 + 17. What is the third smallest value in -3, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12658101.\nAnswer: 3, 211, 19997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k = 18*k + 515. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 16.5?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7599)\/58259 + (-548)\/(-322)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1674 - 988381?\nAnswer: -990055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 10*y**2 + 8*y - 7. Let v be p(-9). Suppose 0 = -3*h + v + 82. What is the highest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**2 - 25*n + 47. Give f(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 38*o - 625. Calculate the remainder when b(30) is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 5*y**2 + 8*y - 6. Let h be g(6). Suppose -4*z - 6 = -h*z. Let a = -10 - -14. Solve -17 - z = -a*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) -0.3 (b) -5\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -50. Sort a, -1, -3.\nAnswer: a, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 + 23*b**2 - 1817 - 1793 - 1816 + 5426.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 7*v**2 + 6*v + 8. Let y be x(6). Suppose -3 = -3*g, -m - 6*g + 2*g = -y. Suppose m = 6*q - 2*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) 1 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1213, 6\/11, -0.01, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 13*v - 6. Suppose -172 + 67 = -5*q. Let k = 31 - q. What is the lowest common multiple of w(14) and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-56)*(-254568)\/10607.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(4 - -37)*-5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1923978 and 684.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 466 - 520. Let f be 27\/m*(-12 + 0). Suppose 0 = 5*w - 3*w - 10. Solve -f*j = -w*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42006575 (base 8) to base 15\nAnswer: bb1d34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042025523 rounded to 7 dps?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (590965\/20496 - 2). Let o = k - 1\/6832. Find the common denominator of (2\/22)\/((-2)\/(-28)) and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1539*x - 1621*x - 1382*x = 1519*x - 346028 for x.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let z be (13 - 11) + -4*8. What is the tens digit of z\/(1\/2 - (o - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 75534.1 meters?\nAnswer: 75534100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.9 to the nearest integer.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvzvvvvthtzh. Give prob of sequence hvt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.91 + 0.31. What is the biggest value in l, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/29 or -11?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4) + 7439\/24220.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/3, -0.0011, -1\/4 in increasing order.\nAnswer: -1\/3, -1\/4, -0.0011, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598198656 is divided by 329.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from egngeoe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (3 - 1) + 54 + -3. Suppose 5*g + v = 10*g. Suppose -4*i + 3*s = -9*i, 3*s = 3*i. Solve i = -3*j + j - g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 679*t + 1. Let i(u) = -3391*u - 6. Let l(d) = -2*i(d) - 11*v(d). Let s(y) = -3*y. Calculate l(s(k)).\nAnswer: 2061*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 8 + 15\/(-3))*33. Let n = 153 + 111. Calculate the highest common divisor of n and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m + 3*m. Find l such that -6*l**2 - 21*l - 12 + 0*l**3 + l**3 + m*l**3 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1073, -1, 5, 1, 65, -2 in increasing order.\nAnswer: -2, -1, 1, 5, 65, 1073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*o + 9 = 0, -4*d - 2*o = 3*o - 22. Calculate the least common multiple of (1\/(-2))\/(10\/(-20)) and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 107\/(-535) - (-102754)\/(-5). What is d rounded to the nearest one hundred?\nAnswer: -20600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11304*k**3 + 15*k**4 + 0*k**5 + 58*k + 11304*k**3 + 3*k**5 + 5 wrt k?\nAnswer: 60*k**3 + 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-8) + 5\/(-20). Suppose -5*n = q*h - 26, -6 = -4*h - 5*n + 26. Let g = h + -1. Solve g*l + 15 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17 - (-32 + 16))*0. Let s be 2*1 - 4784\/2396. Is s not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 311520 and 14160.\nAnswer: 311520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/6, 0.1, -1\/2.\nAnswer: -5, -1\/2, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(84)\/sqrt(12) - sqrt(7)) + (0 + sqrt(112))**2 - (2*(sqrt(7) - sqrt(35)\/sqrt(5)) - (-2*sqrt(21))\/sqrt(3)).\nAnswer: -2*sqrt(7) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 1, 5, -1, 0.8.\nAnswer: -10, -1, 0.8, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 328.93439\nAnswer: 98.680317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95.4 - -38. Let z = s + 49. Let m = 24.4 + z. Is 0 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(2945\/627285).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65083 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(3 - -2 - 3). What is the highest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2596469 rounded to 2 decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*f = -0*o, -4*o - 2*f = 0. Let m = o + 1. Let c be 5 + (0\/m)\/1. Solve c*u + 2*d = 21, -2*d = -4*u + u + 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305 = 752*p - 384*p - 380*p + 355 for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 237 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85800*u**3\/7 + 71452*u**2\/7 - 85840*u\/7 + 48\/7 = 0. What is u?\nAnswer: -3\/2, 2\/3575, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23302 (base 5) in base 14?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154\/6 - (33 - (-113 - -123)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l - 5*n - 163, -4*l = -5*n - 577. Let t = l + -49. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710383.\nAnswer: 710383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6189.833 millennia?\nAnswer: 618983.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1707\/5, 2, -27, 0.1, 0.8 in decreasing order.\nAnswer: 1707\/5, 2, 0.8, 0.1, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 2386 + 2456 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -12*a - 3. Let z(u) = -37*u - 10. Let p(d) = -d**3 - 15*d**2 + 217*d + 31. Let s be p(-24). Give s*m(h) - 2*z(h).\nAnswer: -10*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(1800\/(-40))*29\/(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1773 divided by 1773?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -303 divided by 427767\nAnswer: -101\/142589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 1)*(-2*k + k - k)*(-4 + 2*k**2 + 4).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -290046*c**4 - 202872.\nAnswer: -1160184*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/(-9) - (-378)\/(-21)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.37 - -0.37. Let z = 9 + s. Which is the nearest to z? (a) 2\/3 (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**16*t**(-3\/32) assuming t is positive.\nAnswer: t**(541\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 + 145*p - 2288.\nAnswer: (p + 208)*(3*p - 44)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -z + 3*s, z = 4*s + 6 - 40. Let k = z + 16. Let h = 26 + k. What is the greatest common factor of 30 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 78*j. Let z(a) = -8*a. What is z(i(y))?\nAnswer: -624*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -56*p - 33. Is c(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 3. Let n be p(9). Let f(r) = 3*r - 15. What are the prime factors of f(n)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3 + 191*h**2 + 8546*h - 17864 = 0.\nAnswer: -116, -77, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 4950.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r**2 + 26*r + 64. Let k be q(-4). Calculate the highest common factor of 156 and k.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4600 divided by 1150.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 945\/25 - 2\/(-10). What is the highest common divisor of v and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31747\/2 + 15874. Which is the fifth smallest value? (a) 4 (b) -2 (c) 1 (d) 3 (e) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.35 or -89.24?\nAnswer: -89.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 800 + -280. What is w rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.84 + 0.44. Let f = -10 + 14. What is the biggest value in k, f, -5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*o = -87*o + 220. Let a be o\/15*32\/(-2). Which is bigger: a or -22?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z + 1045 = -4*r, 2*r = -4*z - 842. Let i = 129 + z. Let l = -79 - i. Let t(p) = p**2 - 2*p. Calculate t(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5072000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*f + 31*f - 994 = -2*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -2*k, -h + 4*k = -61. Let l = 21 + 7. Let j = h - l. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 292462621?\nAnswer: 292462621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 678 and 5075712.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/1)\/(2\/(1 + -3)). Let r be ((-2)\/6)\/(1\/6*u). Suppose -l - 3 = 0, -3*l - 2*l = -4*k + 23. Solve 4 = k*x + r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7975*w**6 - w**5 - 3*w**2 + 1668 wrt w?\nAnswer: 957000*w**3 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.08 - 0.08. Let l = k + -3. What is the smallest value in l, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 11*h - 22, 8459*h - 8467*h - 5*n + 16 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 34. Let u(q) = q**2 + 18*q + 433. Calculate the smallest common multiple of u(-21) and y.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1005 divided by 15\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1 + 2 = 0. What is the units digit of 1 + z + -1 - -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24057167*d**3 - 29402682*d**2 wrt d.\nAnswer: -144343002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxr when three letters picked without replacement from wywywwwywwnwxwruyy.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136496202 divided by -6.\nAnswer: 22749367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/14, 6, -0.0467, -17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7\/c**6)\/(c**(2\/15)\/c*c*c*c**3) assuming c is positive.\nAnswer: c**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 20*u - 60. Give j(-18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 27 (b) 198 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*d**3 - 4*d**2 - 35*d - 4*d**2 + 9*d + 9*d**2 wrt d?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -857.7 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 - 113 - (12 - 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 25 = 3*n. Suppose -n*v + 6*v - 96 = 0. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k. Let h(i) = -6*i - 10. Suppose -4*q - 2*n - 22 = 0, -n - 152 = -q - 153. Give q*l(z) - h(z).\nAnswer: 2*z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 854 = -134. What is the common denominator of (-6)\/10 - 501\/k and -3\/37?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2276.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1 + (6 + 2)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 234 in 27, -5, 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -22 + 10. Let g be (-10)\/(-15) + 58\/h. Let a = 0 - g. Solve q + 2*q = a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3825056623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*d - z, 4*d - 54*z + 49*z - 4 = 0. Sort d, 5, 49, 1, 3 in decreasing order.\nAnswer: 49, d, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t. Let c(u) = -17*u - 1. Let m(v) = -2*c(v) - 9*i(v). Give m(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54349*j**3*z - 1163*j**2 + 2*j*z wrt j?\nAnswer: 326094*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 43. Let n(x) = 3*x - 87. Determine -5*d(c) + 2*n(c).\nAnswer: c + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -1.2 (b) -8 (c) -4 (d) 0 (e) 153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 16 = h + 3*h, -5*h = -5*p - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 + -64. Suppose 6*c - t + 44 = 0. Solve g - 2*a = c, 3 + 2 = -5*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 - 4*q**2 - 6*q**3 - q**3 + 8*q**2 to w*q + n + f*q**3 + g*q**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38*18\/2736 - (-83)\/4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Let c(i) = -3*i**2 - 15*i + 22. Let b(v) = -c(v) - 4*u(v). Let p be b(6). Calculate the greatest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03176 to 3 dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354*b**2 - 33 + 47 + 358*b**2 - 6 - 8.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10989, 10013, 9025, 8019, 6989, 5929?\nAnswer: 4833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077519 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3\/2 - 251553*y**2\/2 + 125757*y + 1509300 = 0. What is y?\nAnswer: -3, 4, 83850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/771 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*0\/2*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 2. Let p = 5 - 7. Let w be y(p). Suppose 5*s + w = 29. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-2) + -26 + 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 9) in base 15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/1481 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/((-1)\/6). Let b(h) = 0 + h + 7 - 2 + p. Give b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9348 + 9349.3. Put -73, s, -1 in increasing order.\nAnswer: -73, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 154773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p + 54*p + 9*p + (4 - 3 + 5)*(1 - p - 1) to the form l + q*p and give q.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 0*b**2 + 3*b**2)*(2*b + b - 4*b) + 5 - 5 - 2*b**3 + (2*b**2 - 2*b**2 - b**2)*(b + 7*b - b).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7)*2 - sqrt(7))*6 + -5 + (sqrt(84)\/(sqrt(12) + sqrt(3)))\/(sqrt(144)*1).\nAnswer: -7 + 109*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -464, -463, -462, -461, -460, -459?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/361 at least as big as 778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25466 and 13204870.\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4512500 + -14?\nAnswer: 4512453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 1484?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 1.327?\nAnswer: 1.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*c - 2)*(4*c**4 + 2*c**4 + 14*c**4) + 3 - 3 - c**5 + (1 + 0 + 0)*(-2*c**5 + c**5 + 0*c**5).\nAnswer: 58*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/508 and -39\/10.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5512, -3, 7 in decreasing order.\nAnswer: 7, -3, -5512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/3 - 4610*z - 27664\/3 = 0.\nAnswer: -2, 13832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*b - 55*b = 6270. What is the greatest common factor of b and 36385?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*sqrt(153) + -5*sqrt(136)\/sqrt(8) + (sqrt(102)*-2*2 - sqrt(102))\/(sqrt(12)\/sqrt(2)*-2))**2.\nAnswer: 20805\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -64. Suppose -3*j - 4*i = -35, -i - 10 + 6 = z. Let b(p) = -3*p + 56. What is the least common multiple of b(j) and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20 + 8 + (-5)\/((-25)\/(-15)). Suppose -10014 = -x*c - 489. Is c a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 27*s + 3. Let n be g(1). What is the highest common factor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/12 + 63\/(-84)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/4223 + -8452\/12669. Sort u, -1\/3, 9 in descending order.\nAnswer: 9, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1978065049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 316.\nAnswer: -1264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - k - 2. Let x be ((-3)\/1)\/(6\/(-4)). Let b be l(x). Let f(d) = 2*d**3 + 5*d**2 + 12*d - 10. Let m be f(b). Round m to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 74?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3, -10*p + n - 205 = -14*p. What is the remainder when 910 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 3)*(-2*c + 4*c - 4*c)*(709 - 35*c**2 - 709).\nAnswer: -420*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56 in 2, -2, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -175 * 1\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = 2*r. Suppose i = -r*i. Suppose i = v - 2*v + 7. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 27640*r + 190992400.\nAnswer: (r + 13820)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/11 (b) 182818\/5 (c) 5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 99999 + (1 - 0) + -4. Let q be 1 - 3 - (f + 2). Round q to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*b + 201 = 0, 5*d + 3*b - 415 = -114. Let i = d + -2. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m = -o, 5*m - 27 = -4*o. Let k(x) = -x + 3*x - 6 - 4. Let l be k(o). Is l bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -1, -4 in decreasing order.\nAnswer: 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 184, 376, 626, 928, 1276, 1664, 2086?\nAnswer: 2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 963 and 7118924?\nAnswer: 64070316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2661018277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) 2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 111499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + -68. Calculate the common denominator of -11\/2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*u + u**2 + 211*u - 615*u + 203*u.\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 4*c**5\/15 + c**4 + 3*c**3\/2 - c**2 + 1. Let l(b) be the second derivative of d(b). Factor l(v).\nAnswer: (4*v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -2. Let y = -1 - k. Suppose -f = -6 - y. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6829*m - 27919 + 27919 to l*m + t and give l.\nAnswer: -6829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40915, 45385, 49853, 54319, 58783?\n\"Answer: -i**2 + 4473*i + 36443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-14))\/((-8)\/6*(-12846)\/(-34256))?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19299249 to the power of 1\/2, to the nearest integer?\nAnswer: 4393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -398692*y**3 + 54230*y**2 + y + 1?\nAnswer: -2392152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7043*b*r - 3*b - 3*p**3*r - 1897*p**3 wrt r.\nAnswer: -7043*b - 3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c - 529 = -261 - 297 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m - 13 = -1356 - 929. Calculate the remainder when 200 is divided by m.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t**2 + 129*t + 969. Let x(b) = 8*b - b**2 + 194 - 4*b + 8*b + 14*b. Let y(q) = 2*u(q) - 11*x(q). Factor y(n).\nAnswer: -(n + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 45032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1984 + 1992. Which is the nearest to -1? (a) -3 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 12:04 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 261*l + 1495. Give z(-6).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5716.3927 rounded to the nearest integer?\nAnswer: -5716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g*h**2 + 23791*g*h - 7052*h**2 - h wrt h.\nAnswer: 10*g - 14104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1091 - 1087. Let o = 1254\/5 + -249. Which is the second smallest value? (a) 1 (b) o (c) i (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.13 (b) 1914 (c) -3\/7 (d) -2 (e) 33\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/75 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 8*j - 8. Let k be b(-5). Let z(m) = m**2 - 6*m - 5. Give z(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*f - f + 48, -4 = 2*z - 4*f. Let n = -6 - z. Suppose 0 = -5*u - 3*m + 11, n*u + 3*m - 10 = m. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i + 0*i)*(54*i + 16*i - 101*i).\nAnswer: -62*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-14)*-61 + (-2)\/2 and (-4060)\/2400 + 2\/3.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.294 minus 0.027?\nAnswer: -0.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 180 = 190, -5*x + 5*r + 70 = 0 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7572.9 - -7573. Let z = 8 + -13. Which is the nearest to s? (a) 6 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to -139\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/10157?\nAnswer: -4\/10157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 20 = -r, -j + 1 = 3*r + 19. Let q be 2 - (0 - 26\/(-16)). Which is the biggest value? (a) q (b) j (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139 + -139.0047. What is i rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 1, z: 2, f: 1}. What is prob of picking 1 f, 1 z, and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2*20\/(-120)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 15*h**3 - 15*h**2 - 15*h + 15. Let s(r) = -r**4 + r**3 - r**2 - r. Let a(d) = 15*s(d) - x(d). What is the derivative of a(z) wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -302 and 0.0215723.\nAnswer: -301.9784277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*w**2 - 150*w**2 + 228*w**2 + 220*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 7*a + 2. Let o be ((-3)\/2)\/((-12)\/224). Let g be 324\/o - (-8)\/(-14). List the prime factors of z(g).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*h - 1, -4*h + 331*s - 327*s = 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-3*2 - sqrt(99)) + sqrt(99))\/sqrt(9).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 675*b**3 + 21715*b**2 + 74175*b - 95220.\nAnswer: 5*(b - 69)**2*(b - 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 1, l: 2, e: 1, u: 1}. What is prob of sequence ul?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*r - 28 = -259*r - 21*x, -26 = 4*r + x for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 254007958 a multiple of 503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 0*d + 0*d**3 + 0 + 0*d**7 - 3*d**2 + 1\/336*d**8 + 0*d**6 + 0*d**5 - 1\/8*d**4. What is the second derivative of s(u) wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 3. Let f(n) = 2. Let i(m) = -6*f(m) + 4*s(m). Let w be i(9). Let z = w + 79. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 14, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2426945?\nAnswer: 5, 485389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of (-15377 + -4 + 29)\/(2\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -238 + 378. What is the remainder when j is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*1 + sqrt(3) + (1*sqrt(21))\/sqrt(7) - (sqrt(21)\/(sqrt(14)\/sqrt(2)) - (sqrt(3) + (sqrt(3) - (sqrt(3) - sqrt(27))))*-1))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -27. Suppose -8*o = -r*o - 30. Is 5162\/o - (-32)\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -16 (b) 1391 (c) 2\/3 (d) -1\/7 (e) 3 (f) -227\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1129952 and 76448?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57428?\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*r - 4*y - 62, 5*r - 91 = -3*y. Suppose -5*k = -5*f - r, 2*f = 4*k - 9*k + 20. Suppose 4*t - 2*t - 18 = f. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a - 77 = -161. Let v(n) be the first derivative of 14 - 13\/3*n**3 + 7*n + 0*n**a. What is the first derivative of v(g) wrt g?\nAnswer: -26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 36 = -4*t. Let b(n) = n**2 + 6*n + 9. Let s be b(t). Let v(x) = -x + 15. Let d be v(6). What is the highest common factor of d and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3637569 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**3 - 2*d**2 + 1. Let b be o(-1). Suppose 0 = b*z + z - 115. Solve -5*c + 4*y - z = 0, 2*y + 3*y = -2*c + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**4\/4 - 2851*g**3\/3 + 3*g**2\/2 - 312*g + 867. What is the second derivative of p(t) wrt t?\nAnswer: -6*t - 5702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75848.2039 rounded to the nearest 100?\nAnswer: 75800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -267*o + 5657 + 50146. Calculate the remainder when 908 is divided by o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -147.51, -0.3, 5?\nAnswer: -147.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1 - 1 + 46*o**2 - 1 + 3*o. Let z be t(2). Suppose 5*b - z = -52. Solve -3*m + 3*j = -b, 4*m - 2*m - 3 = -j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, and 2 z when four letters picked without replacement from szezyssszzsssszy.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 - 61139*b**2\/2 - 1649295*b.\nAnswer: -b*(b + 54)*(b + 61085)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.1763 and 4.\nAnswer: 8.1763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -165256 (base 7) in base 14?\nAnswer: -c09d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2958 by -986.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -126*c**2 - c + 1 - 2 + 92*c**2. Determine i(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1.7. Let w(r) = 2*r**3 - r**3 + 2 - r - 4. Let o be w(0). Which is the third biggest value? (a) o (b) -2\/11 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s - a, 3*s - 4*a + 3*a - 12 = 0. Suppose 5*v - u - 11 = -0, -s*u = -2*v - 10. Solve -5*k - 4*m = m - 10, 2*k + v*m = 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w\/w**1))\/w)*w)\/w)**(-14\/9)*w\/w**(-5\/4)*w*w\/(w**14*w) assuming w is positive.\nAnswer: w**(-443\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 28\/11*v**2 + 2\/11*v**3 + 26\/11*v = 0. What is v?\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 47 = 13. Let r(d) = d**3 - 14*d**2 - 15*d + 5. Let i be r(q). Let x be (-2)\/12 + (-114)\/(-36). Are i and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggdhgaadggggggaggco. Give prob of sequence ch.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2309 and 2.\nAnswer: -4618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.4. Let h be (-28)\/(-42)*(-3)\/(-19). Which is the third smallest value? (a) h (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (24 - 8) - (0 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -10, 0.112895, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 4.2592?\nAnswer: -6.2592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 927422 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233968 is divided by 44?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2805491, 2805490, 2805491, 2805494, 2805499, 2805506?\n\"Answer: o**2 - 4*o + 2805494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2670905*m + 2334157?\nAnswer: -2670905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-5))\/7)\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9712483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.0931.\nAnswer: 0.04655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-20) + -2)*-5. Sort 3, m, 1 in descending order.\nAnswer: m, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 is divided by 200.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2786 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139789.\nAnswer: 13, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89351.\nAnswer: 199, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60519488 is divided by 12103894?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9771*u**4 - 1911*u wrt u.\nAnswer: -117252*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 1, j: 1, e: 1, k: 1}. Give prob of picking 1 e and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -7. Let s(n) = 17*n + 12. Let h(a) = a - 1. Let j(p) = 6*h(p) - s(p). Calculate the remainder when f is divided by j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - z = -a - 128, 3*z = a - 50. What is the remainder when 803 is divided by a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {g: 1, t: 2, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(2\/4 + -1). Let a be ((-2 + 2)\/f)\/1. Let x = 14 + -2. Solve 3*h + 0*h + x = a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 2*z + 4. Let v be l(0). Suppose -5 = -5*m, -v*m = -5*i + 3*i + 42. Solve -3*k + 0*k = -4*s - i, 3*k = -5*s - 22 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 20. Suppose c*x + 104 = 8*x. What is the highest common divisor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 - 86. Let l be ((-2)\/(-6))\/(3\/c). Suppose k + l*r = 3*r + 5, -22 = -3*k + 4*r. What is the lowest common multiple of 2 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35198 is divided by 489.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -90088900 rounded to the nearest one million?\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(20) + sqrt(84)\/(-2*sqrt(3)))\/(5*sqrt(256)*2 - sqrt(256) - (-2*sqrt(256)*3 - sqrt(256) - sqrt(256)))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-117520)\/100)\/(-113)*(-10)\/4\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 174379751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f + 30. Let m be f\/(-4)*4 + -1. Let z(d) be the second derivative of -d**4\/12 + 2*d**3\/3 - 3*d**2\/2 - d. Determine z(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 182*j + 69*j**2 - 97*j**2 - 93*j**2 + 180*j - 361*j as c + q*j + h*j**2 and give h.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 229\/2? (a) 2 (b) 0.5 (c) 24.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -45 (b) 1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 5:03 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2877 is divided by 109.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 9*b - 90 = -f, 5*b - 5*f = 170. Is b less than or equal to 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + q**2 + 5. Let i be 5 + -1 + -4 + 0. Give r(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5973982 is divided by 6410?\nAnswer: 6272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 15*o = 174426. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2*p - 192. Suppose 9*b - 8*b = 2*y + 48, -4*b - 4*y + p = 0. Calculate the highest common divisor of 136 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242016 and 7356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33\/20 in 1\/3, -0.3, -1615\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*l - 19, -2*l = -3*i - l - 7. Let d be ((-4)\/i)\/((-8)\/(-12)). Let u be 3 + -2 + d\/(-5). What is the second biggest value in -1, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19 + 1\/1*(-1 + -1). Suppose h - 47 = -10*m. Solve -m*s + 12 = s, s - 13 = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -14*z**2 + 3*z**2 - 11*z + z**3 - z**2. Is u(13) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -5*q**3\/3 - 4. Let u(p) = -6*p**2 + 3*p. Let d(z) = z**2 - z. Let i(b) = 3*d(b) + u(b). Determine t(i(s)).\nAnswer: -45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2 + o. Let w be p(1). Let g be 2*3\/(-8) - 0. Let d = 0.8 + -1. Which is the nearest to -1? (a) g (b) d (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 36. Let v = t + -1. What is the third derivative of -6*z**v + 0*z**2 + 2*z**2 + 10*z**4 wrt z?\nAnswer: 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from zowwz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 31*s + 137. Determine q(25).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f**2 - 2*f**2 - 4*f + 6*f**2)*(-1 + 1 - 3) as s*f**2 + b + w*f and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(325))**2 + sqrt(13)*2 + 3 + ((sqrt(13) - (sqrt(13) + 1) - sqrt(13)) + -2)**2 + 2.\nAnswer: 8*sqrt(13) + 1327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 689*m**2 + 6*m**3 - 4*m**3 - 588*m**2 as s*m**2 + w*m + f*m**3 + i and give s.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-4))\/5*0. Let f(i) = 2*i - 4*i**2 - 1 - i + s*i. Let y = 7 + -6. Determine f(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 35905\/438 and 82 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -121 + 2?\nAnswer: -11e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7573974 divided by 3786987.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4*-3558\nAnswer: 14232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*(sqrt(44)\/sqrt(4))**2*4.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/20 - 7*i**4\/8 + 9*i**3 + 281*i**2. Let b(t) = 0. Calculate t.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:29 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 205 and 20336?\nAnswer: 101680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18175 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*i - 15*i + 90 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698695561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56, -220, -480, -830, -1264, -1776?\n\"Answer: t**3 - 54*t**2 - 9*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/3 + 775088*i\/3 + 258363 = 0. What is i?\nAnswer: -1, 775089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -902 and -7653.\nAnswer: -8555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/(-261)*4\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.24 + 0.24. Let o be ((-26)\/(-195))\/((-8)\/5). What is the third biggest value in 3\/4, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 301*t + 19459. Give f(207).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -29 (c) 1361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000151735 rounded to six dps?\nAnswer: -0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4 - 68*g**3 - 127*g**2 + 336*g + 396 = 0 for g.\nAnswer: -66, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5*w = -20, s - 2*w - 3 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*y - 96*y - 65 + 65.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1162519078 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001387383916 to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-15))\/(4\/3). Sort -5, d, 3, 2 in descending order.\nAnswer: 3, 2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 less than -164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 0.0196, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 30, 0.2, 2, 0.06, 0.5, 328 in increasing order.\nAnswer: 0.06, 0.2, 0.5, 2, 4, 30, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -0.2 (b) 2\/7 (c) 4.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367156, -736024, -1104892, -1473760?\nAnswer: -1842628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 2, t: 5, w: 1, a: 5, b: 5}. Give prob of picking 1 b and 1 s.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 - 8*o**3 + 2*o**2 + 8*o.\nAnswer: -2*o*(o - 1)*(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2 - 51*n - 9. Let f be 5\/((-1392)\/(-104) + -13). Calculate g(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*f + 352 = 0, f = 815*x - 813*x + 91 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 6:48 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140725\/26621 - 2\/3803. Find the common denominator of k and -33\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 2. Let j be l(-2). Suppose 4*z + 5*d - 30 = 18, j = z + 3*d - 12. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvgvggg. What is prob of picking 1 v and 3 g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -43. Is (623 - y) + -4*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 27, -11712 in descending order.\nAnswer: 27, 3, -11712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g, -14*r + 58 = -13*r + 4*g. Calculate the remainder when r is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 4*s**2 - 7*s + 3. Let x(f) = -f**3 + 9*f**2 - 11*f - 16. Let h be x(7). Determine u(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + ((-1376)\/42)\/8\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**4\/4 - 2*q + 92. Let x(i) = -i**2 + 4. Give x(h(m)).\nAnswer: -9*m**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 7:18 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 895*o + 192380. What is d(-215)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {d: 1, g: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 2. Let z(x) = -1. Let g(b) = j(b) - 3*z(b). Determine g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 16054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(15\/(-1580)). Are u and -160 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/1*(1 - 28165). Let o = 1013825\/36 + l. What is the common denominator of (690\/(-1449))\/((30\/70)\/(2\/(-8))) and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581258 is divided by 1251.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3 - l**2\/2 + 4. Let o be 0 + 1 + -1 + 1. Let m be t(o). Solve m*c - 3*c = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -4. Let x = -489 + 490. Let p = x - s. Solve 3*b = -p + 11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-10))\/(184\/40 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 29*p**2 + 199*p. Determine l(12).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 109 = -308. Is k a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -110099\nAnswer: 9\/110099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 6*s + 9. Suppose 5 = -2*i + 3*y, -4*i - y = -7*i + 10. Calculate the lowest common multiple of i and j(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -34355105.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 + 15*u - 119. Let q be g(5). Let c be -2 - (-2)\/(-4)*-62. Suppose c - 1 = 2*d. Calculate the highest common factor of q and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/36)\/x*x)**50 assuming x is positive.\nAnswer: x**(875\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 31*t**2 + 269 - 55*t**2 - 168. Let d(i) = -2*i**2. Calculate d(w(s)).\nAnswer: -4608*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 + 17*v - 51. Let s(c) = -c**2 - 3*c + 9. Let h(k) = -6*d(k) - 34*s(k). Let g(q) = -20*q + 4. What is g(h(y))?\nAnswer: -200*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 3*d + 6. Suppose p = -0*p + 4. Suppose 109 + 95 = p*o + 4*q, 99 = 2*o - q. Let c = o + -55. What is h(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-143) + 36\/198. Let j = -2586 - -2586. Which is the nearest to -1? (a) -4\/7 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + 7. Find the second derivative of q*j - 30*j - 37*j - 3*j**2 wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 87823000 to the nearest one hundred thousand.\nAnswer: 87800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/9 + 134*y\/9 + 748\/3 = 0.\nAnswer: -34, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2769911.\nAnswer: 2769911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/1 - 2)*2. Suppose -s*h + 61 = 15. Let l = h + -13. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 6. Suppose 12 = -3*r + 3*z, 0*r = 5*r + 3*z - q. Suppose r = 3*x - 5*x + 36. Calculate the least common multiple of 6 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147, -132, -93, -18, 105?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.01 and 565760 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 130 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2178785589.\nAnswer: 3, 37, 19628699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bb4 + 27?\nAnswer: -b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*f - 334*f + 36146*f + 105*f + 14601*f)*(-1 - f + 1 + (-2 + 1 + 3)*(-f + 0*f + 0*f) + 2*f - 4*f + 0*f - 2*f + f + 2*f + 3 - f - 3).\nAnswer: -252775*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 37. Let g(j) = j**2 - 15*j + 2. Let s be g(15). Let a(b) = 2003*b**s - 998*b**2 - 1003*b**2. Give d(a(l)).\nAnswer: -8*l**4 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 567 and 12852?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2 = 3*s - s, 3*s + 12 = 3*q. Let w = 6 - 3. Let b = w + s. Is 1\/5 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926245705.\nAnswer: 5, 7, 11, 2405833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*p - 40, 0 = -5*p - 8 - 2. Let u be (-6 - -1)\/((-6)\/(-66)). Is ((-38)\/5)\/(n\/u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwaaaiiiaiwiwiiiaii. Give prob of sequence ai.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32403 - 43?\nAnswer: 32310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 17*n - 21. Let a be o(-14). Let v = a + 141. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/4)\/(43\/172).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4)*(m**(-5)\/m)\/m)**4)**(8\/3) assuming m is positive.\nAnswer: m**(-232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**4 - q**4 + 31*q + 30 + 28 + 0*q**4 - 57 to o*q + x*q**4 + k*q**2 + i*q**3 + v and give o.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s - 26*s = 30. Suppose 2*q = 4*b - 24, -s*b = -q + 6*q. Suppose -3*v - 5*t + 4233 - 1065 = 0, 0 = -3*v - b*t + 3171. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2277*d + 15933. What is v(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 4. Let h(c) = c**3 + 7*c**2 + c + 10. Let s be h(-7). Let r be b(s). Let u be (6\/4)\/(10\/4). Do r and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*x = 50*x + 22. Sort 46, x, 4, 5.\nAnswer: x, 4, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87115446 divided by 146659?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 20 + 1 + -4 + -5 + 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2012418 + 591570 = 76*x. What are the prime factors of x?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, r: 3, x: 8}. What is prob of picking 3 w?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-10)\/20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 - 0)*(-15 + 12). Suppose 0 = -2*z + 20 + 16. What is the highest common factor of t and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/279217422 and 9\/10341386.\nAnswer: 279217422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 = -2*q, 4*q - 2*v = 2*q - 8. Let w be 3\/(3\/(-6)*(-2)\/17). Let b = -48 + w. Sort 1, q, b.\nAnswer: q, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 556*t**4 + 72*t**2 + t - 82386?\nAnswer: 2224*t**3 + 144*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(2 - 14\/(-3)). Let s be (-3 - -3) + (5\/(-2))\/((-25)\/50). What is the third derivative of 3*z**3 - a*z**2 + 2*z**3 + 5*z**6 - s*z**3 wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3 + 3)*(-111*p**4 - 26*p**4 + 32*p**4).\nAnswer: -315*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -2*i - 2*i. Let b(u) = 73*u**3 - u**2 - u - 1. Let m be b(-1). Let z = i - m. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16041082.33 - 3.\nAnswer: 16041079.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 4*j - 4*n - 2, -2*n + 10 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11736 in -1\/6, -15, -30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1, 0.06, -2.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 6 = 12*o. Suppose 2*j + 4*p = -16, -5*j + 3*p + 12 = -j. Suppose 1256 = 4*k + 3*w, o*k - w - 638 = -j*w. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 41*x - 165. Calculate l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 576 = -14*u. Suppose 34*z - 30*z - u = 0. Calculate the lowest common multiple of 44 and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 4:32 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - -89 - -156 - 155.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424.56368 + 7.\nAnswer: 431.56368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2120 = 48*g - 101*g for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 7731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574 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: Four letters picked without replacement from {n: 3, t: 2, z: 6, m: 1}. What is prob of picking 1 m and 3 z?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - ((9 - 33) + 17). Solve 4*d = -4*g, 3*d + 0*g + f = -4*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36962080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008490735 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 times 1.2382?\nAnswer: 211.7322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*n + 39, -n + 52 = 3*n - 2*k. What is the derivative of 2 + 7 - 3 - n*x + 0*x wrt x?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 3*m - 4*f - 71 = 0, 4*m = 5*f + 95. Solve -5*b - 5*n = 5 + 20, m = -5*n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1759 * 3\nAnswer: -5277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-5 - (-5 + 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*o*u*z**3 - 3*o*z**3 + 173*o + 2*u*z**3 - 213*u*z**2 wrt u?\nAnswer: 18*o*z**3 + 2*z**3 - 213*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-5)*(-25)\/(-5). Let p(m) = 1 - x*m**2 + 0*m**2 + 4*m**2 - 3*m**2. Suppose 11*q = -22 + 11. Determine p(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/((-95)\/60)*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 11*g - 10. List the prime factors of d(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/3 - (-17 + 1). Let s be (-81)\/(-3) + (2 - 2). What is the highest common factor of p and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 59.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-3 - (-7)\/2). Suppose y = 4*r - r - 429. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144 + -140. Suppose -4 = -c*f, z - 4*f - 3 = -f. Solve 13 = 5*y + 4*u - z*u, -5*y - u = -16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 - 217 = -7*i + 210 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 588, 856, 1092?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 39 in increasing order.\nAnswer: 0, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b - 20. Suppose 12 = -z - 5*p - 3, 0 = 5*z - b*p - 45. Solve -z*r + r + r - r - 4*r**2 = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 - 98.9. Which is smaller: 7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-33)\/44)\/(5\/20) + 50204 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*10\/(-400))\/(13\/208)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 14*x + 58. What is the remainder when 49 is divided by l(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 550, 551, 552?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5460\/(148 + -78) - (15 + -1)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/94539297 or -1?\nAnswer: -2\/94539297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*c**2)*((1 + 1 + 0)*(24 + 43 - 30) + 6 - 1 - 3)*(5 + 0 - 3)*((-1 + 0 - 3)*(-1 + 3 - 3) + 3 + 2 - 3).\nAnswer: -2736*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 13*w - 9. Let b be y(-11). Solve 3*k = -1 + b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o + 95 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -967927 at least -967927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4 + 2, 0 = -q + 3*r + 6. Let c be 5 - (q\/5 + 1). Suppose c*y = -m - 8 + 29, 14 = 4*m + 2*y. What is the closest to m in -7, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = -15. Suppose 45 - 5 = -5*o. Let h(b) = -7*b**2 + b + 9. Let c(s) = 11*s**2 - s - 13. Let r(n) = l*c(n) + o*h(n). Calculate r(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*1*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22 - 352\/(-16)) + 1\/6. What is the nearest to f in -0.4, 5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -71\nAnswer: 26\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 179064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 535385, 535383, 535381, 535379?\n\"Answer: -2*f + 535387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 - 15*p**3 + 67 - 27)*(-3 + 0 + 4) as t*p**3 + x*p + n*p**2 + o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -17.\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8577499709.\nAnswer: 31, 59, 139, 33739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 6, -5, 165 in ascending order.\nAnswer: -5, 0, 1, 6, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 116 = -127. What is the greatest common divisor of 108 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + y = -7 + 50, -3*l + 3*y + 27 = 0. Suppose -5 - 7 = -3*g. Let m = l - g. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 3*i - 65. Let f = i - 31. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 7*n**3 + 0*n + 36*n**3)*(9*n**2 + 0*n**2 + n**2 + (0*n**2 - n**2 + 3*n**2)*(16 + 3 + 2)).\nAnswer: 1508*n**5 + 104*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l**3 + 37*l**2 + 298*l + 560. Calculate b(-6).\nAnswer: -1192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 224 = -0*u. Let v = 162 + u. Calculate the greatest common factor of v and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b. Let r(w) = w**2 - 7*w + 1. Let q be r(8). Let y(s) = -2*s - 9 + q. Calculate y(c(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*p - p - 47*p.\nAnswer: -107*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -436 - -447. Suppose 4*j - 6*v = -z*v + 189797, -v = -5*j + 237268. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddgdg. Give prob of picking 3 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63061\/40 - 1578. Let r = l - -15\/8. Factor 0 + r*u**3 - 2\/5*u**4 + 0*u**2 + 0*u.\nAnswer: -2*u**3*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 3) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -6*b - 2*t + 5*t, -3*t - 592903 = -b - 593003 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1041 in 7, -0.1, 5, 4\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c\/((c\/(c\/((c**(-2)\/c)\/c)*c))\/c))))\/c**6)\/(c**5\/c*(((c*c**(1\/2))\/c)\/c)\/c)*(c**(-2\/13)*c*c*c**(1\/6))**15 assuming c is positive.\nAnswer: c**(386\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/6 + 897*v**3\/2 + 556605*v**2\/2 - 64218825*v\/2.\nAnswer: v*(v - 99)*(v + 1395)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i**2 + 9*i + 13. Let j(w) = 5*w**2 - 4*w - 6. Determine -13*j(z) - 6*s(z).\nAnswer: -5*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -264689904905.8 minus 0?\nAnswer: -264689904905.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j**2 - 80*j + 5. Let p be o(10). Suppose -p*d - 43 = -u, -2*d + 47 = 4*u + 3*d. What is the highest common divisor of 45 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104485571 to the power of 1\/2, to the nearest integer?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1199709.9 microseconds to hours.\nAnswer: 0.00033325275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039763 take away -0.017?\nAnswer: -0.022763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141576673 is divided by 6155507?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*42\/1029*210\/(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*l**2 - l**3 + 532*l**2 - 1121*l**2 - 278 + 85.\nAnswer: -l**3 - 193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/12 + 35*v**4\/24 - 5*v**3 + 70*v**2. Factor h(i).\nAnswer: -5*(i - 6)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110001010100110100000 (base 2) to base 9.\nAnswer: -6878784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1793704*c**4 - 2*c - 293947 wrt c?\nAnswer: -7174816*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1107 * -0.4.\nAnswer: 442.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 21*m + 364. Suppose 0*z + 3 = -u + z, z = 5*u + 3. Is t(u) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - r - 15. Let u be v(0). Let k = -16 - u. Find the common denominator of 109\/14 and 2*k - 210\/132.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 16*f - 37*f - 3*f to j + q*f and give q.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(100)*-2 + sqrt(100)) + sqrt(100))\/(sqrt(810) + (sqrt(810)*1 - sqrt(810)) + sqrt(810)))\/((sqrt(5) + sqrt(5)*-1*6 + 1*sqrt(500))*-3).\nAnswer: -sqrt(2)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 475540 a multiple of 590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 3\/286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, 164, 4 in decreasing order.\nAnswer: 164, 4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 8:22 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 9. Let g be p(-11). Suppose -18 = -g*r - r. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7584655991 take away 0.009?\nAnswer: -7584655991.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -2 + -5 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 6*b**2 + 4. Let w be n(6). Let a(z) = -15*z + w*z - 12 + 8*z. Let t be a(-14). Calculate the greatest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -420 - -12351030?\nAnswer: 12350210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 360 = 3*n. Suppose -41 + 77 = -3*i. Let w be (-248)\/(-14) - i\/42. Calculate the greatest common factor of n and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 13*t - 18. Let h(w) = w**2 + 6*w - 2. Let i be h(-6). Let j(f) = -f**2 - 7*f - 9. Let q(n) = i*d(n) + 5*j(n). What is q(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 17*c**2 - 6*c + 7. Give g(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(-1\/5) assuming r is positive.\nAnswer: r**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179138?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, 3, 10, 19?\n\"Answer: s**2 + 2*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 4*o**2 + o + 5. Let h be x(5). Let w = h - 73. Is (w\/12)\/((-2)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1038 + 0.1038. Let q = -1 - -2. Which is the closest to q? (a) p (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164 + 172. Suppose -p*n - 20 + 52 = 0. Solve 9 = -n*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*v - 13119 = 7*x, -2*x = -3*v + 8727. Let b = -87291\/20 - x. Find the common denominator of b and -3\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 24 = -60. Suppose -i = -3*s - r, i = 5*s - 4*i + 15. Let u(h) = h**2 - 6*h + 2. Let y be u(5). Is s greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - -45797b?\nAnswer: 45796c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240142 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -8*a**5\/25 + a**4 - 16*a**3\/15 + 2*a**2\/5 - 22. Find s such that w(s) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (8 + -10)) + (-4 - 2) + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1573*c - 394 + 514*c + 48*c + 392 + 768*c to n*c + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4)\/(i\/(((i*i**(-2\/3))\/i)\/i))*i**(-6\/17)*i**(-23\/2)*(i\/(i\/i**(-3)*i)*i)\/i*i**0 assuming i is positive.\nAnswer: i**(-2297\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 18aa7 (base 11) in base 8?\nAnswer: 63770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**2 + 3*l - 2. Let o(x) = -x. Let s(t) = b(t) + o(t). Let v = 41 + -44. Is s(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 5)\/(3 + -1). Suppose 8*k = -x*c + 11*k + 30, k - 42 = -3*c. Solve 4*b + 5*t + 11 = 0, -3*t = -3*b - b + c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + (-1)\/(-2))*(-36742)\/(-936). Let l = 915\/8 + m. Let d = l + -160\/9. Is -2 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(200) + 4)*4)**2.\nAnswer: 1280*sqrt(2) + 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4983?\nAnswer: 3, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 7:13 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 8*o**2 - 8*o - 6. What is the remainder when 8 is divided by u(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 11*a - 47. What is i(-12)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2584*b - 659 + 2*b**2 + 659 + 220*b + 621*b.\nAnswer: 2*b**2 + 3425*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 5:47 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2 (c) -0.4 (d) 0.096 (e) 9 (f) -5 (g) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 0.0944 (c) 1 (d) 5\/3 (e) 4 (f) 16\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12317165?\nAnswer: 5, 7, 351919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d + f + 13, -3*d + 5*f + 2 = 0. Suppose 2*i - k + 9 = 3*i, d*i = -3*k + 33. Solve 2*q = i, -2 - 2 = -4*r - 4*q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - c**2 + 4. Let t(p) = p**2 - 3. What is -3*i(o) - 4*t(o)?\nAnswer: 3*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 3. Let r be h(0). Let y(p) be the third derivative of -p**4\/6 + p**3\/6 + p**2. Calculate the remainder when 24 is divided by y(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -13. Suppose s*c + 3*c + 4*k = -4, -4*k - 4 = 0. Suppose b + c*b = 0. Solve b = -2*w - 0 + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62205 and 28275?\nAnswer: 311025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 283257 and 177957?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 + 10*w**2 + 11*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 8 = 2*p - 38, -5*k + 30 = -3*p. Solve 0*y - k = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201221 (base 3) in base 2?\nAnswer: 101010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/12)\/((-1078)\/(-21))*21\/(-9).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4797363.\nAnswer: 3, 23, 251, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -561292 or -561299?\nAnswer: -561299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 y when three letters picked without replacement from ygggqhohooyynq.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, f: 8, l: 2}. Give prob of sequence ff.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 3*l**4 - l**2 - 6*l**4 - 3 + 0*l**3 + 0*l**3 + 2*l**4 + (-l + 2*l**3 + l)*(-3*l + 0*l + 4*l) - 1 - 2*l**4 + 1.\nAnswer: l**4 - l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 9*y + 11. Let d be (-5)\/(-7) - (-759)\/(-161). Determine p(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69674 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*s - 5505 - 3781 = -3130 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-33)\/(-77) + (-4)\/14). Let l = 0.2 - -0.1. Let h = 27.8 - 28. What is the second biggest value in l, h, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 220, 521, 950, 1501, 2168, 2945?\n\"Answer: -r**3 + 73*r**2 - 45*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*u - m - 51, -5*u + 11534 = -4*m + 11387 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 183 - 1901690072\nAnswer: -1901689889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091400 rounded to the nearest 10000?\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -6, -59, 38 in increasing order.\nAnswer: -59, -6, 3, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 214*g - 12. Let v(s) = -7*s**2 - 432*s - 30. What is 15*i(f) - 6*v(f)?\nAnswer: -3*f**2 - 618*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 315, -0.07, -1\/43 in increasing order.\nAnswer: -0.07, -1\/43, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5 + 1. Suppose -x - 92 + 12 = -4*m, -2*m - 5*x = -18. Is m + (o - 1) + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 343, -1, -64, 10, -16\/7?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -14456*b**3 + 416*b - 832. Let w(s) = -104*s**3 + 3*s - 6. What is 3*g(j) - 416*w(j)?\nAnswer: -104*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106455 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 18. Let w be l(-7). Solve 3*c - w*g - g - 17 = 0, -2*c + 2*g = -10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 1. Let j(z) = -5*z + 4*z + 3 + 9*z + 0*z. Give j(o) + 5*t(o).\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 154\/5 + (-5)\/(-25). Let j = 201 - x. Calculate the highest common divisor of 68 and j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/18 and -37\/5570?\nAnswer: 50130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 14*q**2 - 13*q. Let m be a(6). Let d(o) = -45*o - 10. List the prime factors of d(m).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4 + 7785229*g**3 - 35033559*g**2 + 46711424*g - 15570476 = 0.\nAnswer: -3892619, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 297\/(-144) - (18\/(-8) - 3\/(-12))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 4*n - n + (0*n - 2*n + 3*n)*(-1 + 0 + 2) + 0*n + 3*n - 2*n + 3*n + n - 2*n)*(-1 + 12 + 5).\nAnswer: 80*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3185 and 140465.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**(-1))\/v)\/v*v*(v\/((v*v\/v**(-9))\/v))\/v)**(8\/3) assuming v is positive.\nAnswer: v**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**5 - a**5 + 3*a**5 + (-a + 5*a - 2*a + (4 - 6 + 0)*(1 - a - 1))*(-a - 2*a**4 + a).\nAnswer: -2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2 - -3) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-1254)*(504\/(-14))\/9\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5570, -11166, -16762?\nAnswer: -22358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 837465 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x + 9. Let f(k) = 2*k - 4. Let z(r) = 14*f(r) + 6*g(r). Let u be z(1). Is 2 + 211 + -4 + u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 1123.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 - t**2 - 2*t - 1. Let o be c(-1). Let q be o\/12 + 66\/(-8). Is q <= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p + 45*p = 104*p - 27950. Is p less than 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25188 is divided by 916.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4\/11*o**4 + 4\/11 - 8\/11*o**2 - 28\/11*o**3 + 14\/11*o + 14\/11*o**5 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 + 1102*y + 37218. Calculate g(-139).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-8)\/(-16))\/(1\/130)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601315567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(99)*3*-1)\/(3*(sqrt(9)*4 + sqrt(9))).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6655)*1 - sqrt(55) - sqrt(55))\/sqrt(11).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 13*h**2 - 14*h + 24. Let t be f(12). Suppose t = -15*d + 7*d + 16. Suppose -5*g + 7*l - d*l = -1490, 5*l = -3*g + 870. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275124 divided by -606?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -16 times 220\nAnswer: -3520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**5\/20 - l**4\/6 - l**3 + 3*l**2 - 3*l. Suppose 526 = 8*b + 1526. Let o = 129 + b. What is v(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 88 + 88 = 0. Let a be 77\/5 - (-2)\/(-5). Suppose -2*q = 3*q - a. Put 2, q, f in descending order.\nAnswer: q, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-36)\/(6 - 0) - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 46*c - 404. Let y be f(-18). Calculate the greatest common divisor of 352 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 213.199?\nAnswer: -63.9597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(2 + 6*i - 2) - i + 3 - 4 + 3.\nAnswer: 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -130.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 2*n + 5. Let z be f(2). Suppose 6*t - r = 3*t + 1161, -z*r = 0. What are the prime factors of t?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyybbyyyyyyyyyyyyb.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (8 + 1 - (21 - 0))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(18\/28) + 2\/(-3). Solve -3 = f*c - 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 + 2*o**2 + 2*o**2 + 2909*o**3 + 3*o**2.\nAnswer: 2909*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + -33?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40194 is divided by 5737.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.072 + -0.028. Let y = s - -0.1. What is the smallest value in y, -3\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9202 (base 10) to base 6.\nAnswer: -110334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 442 - 437. Put y, 0.6, -0.3, -1 in decreasing order.\nAnswer: y, 0.6, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 307 - 2453\/8. Let a = 1669\/5 - 333. Put 1, a, v in descending order.\nAnswer: 1, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 16 - 2435*q**3 + 2558*q**3 - 30.\nAnswer: 123*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -24014585?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*p + 3*d**2*y**2 + 2*d**2 + d*p*y**2 + 27*p*y**2 - 63*y wrt y.\nAnswer: 6*d**2 + 2*d*p + 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -27*o - 867. Give l(-31).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 114 (c) -0.2 (d) 16 (e) 3\/7 (f) -1\/6 (g) 0.09\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*f - 6, -r - 18 = -4*f - 2*r. Suppose f*k - 28 = -10*k. Factor -2 + 6 - 2*v**4 - 113*v**k + 6*v**3 - 6*v + 111*v**2.\nAnswer: -2*(v - 2)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 957 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 6:47 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 76.74?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 12:27 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*n + 42*n - 20*n)*(-5*n + 2 + 4*n - 12) to the form u + l*n + g*n**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93819931 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50999 + 38166 - 22325 = 2305*c + 480*c for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40143 - 40143. Let a(z) = z**2 + 6*z + 1. Let t be a(-6). What is the nearest to 2\/7 in t, i, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -5)\/(6\/(-42)*-7). List the prime factors of 2 - (-3 + q + -151).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-84 + 382 + 134)*((-3*k + 0*k + 0*k)*(0 + 0 + 2*k) + k**2 - k**2 - 3*k**2 + (-1 + 1 - k)*(-4*k + k + 5*k)) to the form s*k**2 + o*k + l and give s.\nAnswer: -4752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 16*q**2 + 24*q + 8. Calculate the lowest common multiple of o(-6) and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.2, 0.06, 0.1, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17\/5 + -158\/45. Which is the closest to 0.1? (a) -4 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -842.939665 to one dp.\nAnswer: -842.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1284 (base 10) to base 3.\nAnswer: 1202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 2641*u**3\/6 - 28*u**2 + 268*u. Is v(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6 = b. Suppose s - 7 = 5. Calculate the greatest common factor of b and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 4*z - 6. Let m(y) = 4*y**2 + 7*y - 12. Let x = 4368 - 4373. Determine x*s(k) + 3*m(k).\nAnswer: 2*k**2 + k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**33\/l*(l**(1\/52)*l)\/l*(l\/(l*(l*l**8*l)\/l))\/(l*l**(-4\/11)))**(-4) assuming l is positive.\nAnswer: l**(-12803\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110001 (base 2) to base 12.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2293750560 and 993.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7\/3 + -8\/3. Let c = -1 + 6. What is the second biggest value in a, c, -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 204*o**3 - 3016*o**2 + 2246*o - 108. Calculate k(14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*r = 74*r. Let m(n) be the second derivative of -2\/15*n**6 + 0*n**5 + r*n**4 - n + 1\/2*n**3 + 0 + 0*n**2. Find the second derivative of m(a) wrt a.\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = c + 392, -5*i + 611 = 2*c - 24. Let p = -1952\/15 + i. Find the common denominator of p and 1\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a**(-1)*a)\/a)\/a)\/a)\/a)**28*a**(2\/9)\/a*a*a**(-6) assuming a is positive.\nAnswer: a**(-1060\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62072*r = 62170*r + 5782 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5202 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 - 2253552*c**4 - 11267844*c**3 - 9014288*c**2 = 0.\nAnswer: -4, -1, 0, 563393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**2 - 124*m - 238. Let l be c(69). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, t: 5, y: 5, c: 1}. What is prob of sequence vc?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 82662688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2279 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) 10\/11 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/125660810 and -119\/538290.\nAnswer: 1130947290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = 0, -3*l + 3*y + 2*y + 23 = 0. Let 4*b**4 - l*b**3 + 5*b**4 - 6*b**5 - b**4 + 4*b**3 = 0. Calculate b.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9*k**2 - 17*k + 10. Let p(n) = 4*n**2 + 5*n - 1. Let z(s) = 5*p(s) + 2*w(s). Determine z(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:04 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 15) in base 13?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 6*t - 5. Let o be r(-4). What is the first derivative of -o - 2*m - 2*m**4 + 4*m - 2*m wrt m?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(6\/164*2604\/3906)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -163 + -105 + 289 + -13 + (2 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k**4 - 4*k + k**2 - 8*k - 13*k**4 to t*k**2 + o*k**3 + b + x*k + w*k**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 minus 7743734?\nAnswer: -7743735.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(-20)\/((b*b*b*b*b**(12\/7))\/b*b**(14\/5)))**(1\/22) assuming b is positive.\nAnswer: b**(-963\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619 + 592 - 1211 - 2*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 11.3. Let c = s - 19.4. Is c smaller than -361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4 - -4.12. Let s = -0.02 + t. Let k = s - -0.3. Which is the closest to k? (a) -1 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 602*c - 5740. Calculate l(10).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 827 (base 12) to base 10.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiaa. What is prob of picking 2 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14789*l - 5 + 3 + 2 - 7388*l - 7386*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q - 4. Let w(u) = 2*u + 1. Let p(k) = 10*k + 1. Suppose -n - 191 = -185. Let d(i) = n*w(i) + p(i). What is 4*d(j) - 5*y(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 5*h - 70, -5*h + 690*u = 686*u + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 13. Let o = -6 - 6. Let f = r - o. Calculate the highest common divisor of 10 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2fecfe (base 16) in base 15?\nAnswer: 42095c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6808 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 2:26 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 2:43 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -19. Let z(o) = 248*o + 268. Calculate the remainder when z(-1) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9835 - -9830. What is the nearest to 12 in 0.069, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127.03 + -2.03. Let z = -6 + m. Let r = 118.9906 - z. Round r to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -753, -3, 0 in decreasing order.\nAnswer: 0, -3, -753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.25 - 1.25. What is the third smallest value in -5, 28, o, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 + 0.21. What is the closest to c in -0.8, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 5 + 55 - 16 - 16*l to u*l + r and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 - 57. Let w be b*3\/(-27)*0. Suppose w = 4*t - t + 3*i - 15, 3*t - 43 = 4*i. What is the greatest common divisor of t and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 2*f**3\/21 + 15*f**2\/7 - 32*f\/7 - 84. Factor l(p).\nAnswer: 2*(p - 1)*(p + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -63*a**6 + 27*a**5 - 111*a**2 + 27. Let d(i) = 9*i**6 - 4*i**5 + 16*i**2 - 4. Let b(k) = -27*d(k) - 4*r(k). Find the third derivative of b(s) wrt s.\nAnswer: 1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10531*p - 5 = 5*z - 10534*p, 0 = -4*z - 3*p - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4270692 bigger than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 18*q**2 - 64*q + 1. Let s be u(13). Solve -1 - 27 = s*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 448*h + 167654. Give l(-374).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*p - 89*p = 120 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 654544.192785735 + -22438451.422785995. Let q = l - -21783907. Let g = q + 0.23. What is g rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(112) + -2 + sqrt(112) + 4) - (-6*(-2 + sqrt(112)) + 3))**2 + 1.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3+3311073438\nAnswer: 3311073441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(sqrt(11) + 2) + (-3*(sqrt(11) + -1))**2 + sqrt(176)*-2 + sqrt(176).\nAnswer: -17*sqrt(11) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.026 - -3.754. Let g = 3 + -2.88. Let f = p + g. What is f rounded to 1 decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157063\/5 + -31195. Which is smaller: 219 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/102 and ((-91)\/294)\/(24\/90)?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:13 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*j + 0 - 8\/5*j**2.\nAnswer: -2*j*(4*j - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -4884, 3\/4, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 5*q**2 - 4*q + 6. What is the remainder when 71 is divided by a(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 415*j - 3488. Determine z(10).\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2855 is divided by 868?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rroorrr. What is prob of sequence roo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*y - 1 = 270*y - 4, 5*y - 9 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 109415 to the nearest 1000.\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -387300*r + 387317*r - 34. Solve 3\/2*o**4 - 21\/2*o - 18 + 21\/2*o**3 + 33\/2*o**r = 0.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29581 and 752.\nAnswer: 22244912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 10. Let l = i - 3.3. Which is the second smallest value? (a) -2 (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 33. Give t(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-1792)\/512)*77?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 - -0.28. What is the closest to o in 1, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 = -6*w + w, -2*w = -q + 3. Let y(l) = -l - 1. Let d(a) = 16*a + 5. What is q*y(m) + d(m)?\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 + (-3 - -6 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 34*j + 3*j + 15*j - 20*j + 28*j.\nAnswer: 58*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 1:22 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -aa + -373?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*((c**(1\/18)\/c)\/c)\/c)\/c*c)*c\/c**(-39) assuming c is positive.\nAnswer: c**(773\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 + 223132?\nAnswer: 222330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. Suppose -2*i + 3*k + 17 = w, 0*i - 5*i = 5*k - 5. Solve -5 = i*j + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80243\/10 + -8032. Let b = -39871\/10818 - 22\/601. Find the common denominator of w and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:52 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -132*y - 2908. Let v be s(-22). Which is the closest to -1? (a) -1\/7 (b) -1 (c) -6\/5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -244.6 and 492959.85.\nAnswer: 492715.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56778932\/(-42)*(-4 + -4 + 39\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 223222, 446444, 669670, 892900, 1116134?\n\"Answer: 2*l**2 + 223216*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -1. Let m = 44 - 44.3. Which is the closest to m? (a) n (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18177720 and 6059240.\nAnswer: 18177720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7131211, 7131256, 7131303, 7131352, 7131403?\nAnswer: 7131456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.262256 millennia in months?\nAnswer: 51147.072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383 + 191 + 192 - 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 5284*u**2 + 1167473*u - 1162190.\nAnswer: (u - 5053)*(u - 230)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.4038 to the nearest integer.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Let j(k) = -k**3 + 13*k**2 - 9*k - 34. Let p be j(12). Suppose x = -u, -p*i - 3*u + 434 = u. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 431 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (269 - 269 - 6*p)*(0*p - 3*p + 2*p) to the form b + j*p + t*p**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -49*s - 7. Let x(c) = 99*c + 16. Calculate -7*d(n) - 3*x(n).\nAnswer: 46*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -95 - 75. What are the prime factors of (153\/b)\/((-3)\/(-200))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 15*c**2 - 6. Determine w(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 + -11110?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6301 is divided by 545.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 26 (b) -3 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 8*v + 6. Let a be k(6). Let d be 78\/a + (-9)\/15. Solve -5*h = 4*j + 2 - 0, -5*h - d*j - 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -8*i**3 - 5*i**2 + 6. Let g(p) = -23*p**3 - 14*p**2 + 17. What is 17*a(x) - 6*g(x)?\nAnswer: 2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 4. Suppose 0 = h + 2*h + 15. Let a(o) = -2*o + 8. Let w(x) = h*l(x) - 2*a(x). Let i be w(9). Sort -1, i, -3.\nAnswer: i, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**4 + 22*i**3 + 105722*i**2 - 473909*i - 20 wrt i.\nAnswer: 36*i**2 + 132*i + 211444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + l + 4. Let x be c(0). Suppose 17 = x*o - 91. Calculate the remainder when o is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 - 16*q - 26. Calculate the remainder when 3525 is divided by o(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1.4 (c) -0.2 (d) -2 (e) -0.3 (f) 1 (g) 3\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**4 + 840*o**3 + 44864*o**2 + 86400*o = 0?\nAnswer: -108, -100, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 7*q**2 + 8*q + 19. Let k be b(-6). Solve -2*h + k = 3*v, -8*v = -3*v + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1302\/(-18)*(-10)\/21*((-9828)\/180)\/91\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21931\/1720 + 1\/1720. Let t = 118090 - 16532717\/140. What is the common denominator of t and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 33 - 86)*(t**2 - t**2 - 6 - t**2) in the form j*t + n + d*t**2 and give n.\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = -68 - 12. Let a be (-18)\/o + (-18)\/(-90). Suppose 4*q = 3*n - 0*q - 6, 0 = -5*n - a*q + 10. Which is bigger: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 54108129*s + 1. Let h(c) = -2*c. Calculate h(o(g)).\nAnswer: -108216258*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -46 + 50 + 29 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - m + m)*(-43786*m + 31*m**2 - 6 + 21908*m + 21894*m) to the form w*m + l*m**3 + g*m**2 + v and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**3 - 7*t - 2. Let v = 1767 - 1774. Let g(a) = -9*a**3 + 21*a + 7. Calculate v*n(o) - 2*g(o).\nAnswer: -3*o**3 + 7*o","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - u - 212 = -229, -4*u + 148 = -28*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, q: 6}. Give prob of picking 3 q and 1 p.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4 and -4.2.\nAnswer: 10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -73, 1, 5?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than -375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.39 + 0.19. What is the smallest value in 5, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.439 - -0.061. Let o be ((-1)\/(-3))\/(2\/6). Let v be 1 - -2 - (4 + -3). Which is the closest to o? (a) v (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g - 32 = 88 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/3, -5, -10, 863, 12\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 + -2. Suppose -651*v - 45944 - 11776 = 237*v. Is p >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6cdc (base 15) to base 4\nAnswer: -11221311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2930547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*k**2\/8 + 417*k\/4 - 2555.\nAnswer: (k + 140)*(7*k - 146)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l - 326 - 61 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.56 - -2.66. Let d = 48 - 46. Let x be 12\/15*d\/8. Which is the second biggest value? (a) v (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13))**(6\/25) assuming y is positive.\nAnswer: y**(-78\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96942087 to the power of 1\/2, to the nearest integer?\nAnswer: 9846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 88c2b7 - 20?\nAnswer: 88c297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.3 - -19. Let n = f + 1.3. Let l = 19.01 + n. Round l to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1313234 is divided by 5863.\nAnswer: 5785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/4350*21*(-4)\/7.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2330630, -2331041, -2331450, -2331857?\nAnswer: -2332262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -538?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 105*j + 24. Let o(b) = -227*b - 52. Let s(i) = -6*o(i) - 13*z(i). Let k(w) = -3315*w**2. Calculate k(s(y)).\nAnswer: -29835*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.006657 + 0.3066634. Let l = 21 + -20.7. Let o = l - r. What is o rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110110011010 + 11011111111110?\nAnswer: 110010110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 202661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 55. Factor -4*u**2 - 5 + n*u**2 + 43*u - 39*u.\nAnswer: (u - 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -655, -1361, -2067?\n\"Answer: -706*v + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 50. Calculate the remainder when 161 is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjqjjvjq. What is prob of sequence qjv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*p + 5824 = -85*p. Let b = p + -1440. Calculate the least common multiple of (-20)\/(-6) + 2\/3 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -j + 5*z + 353, -4*j + 1016 = 4*z. What is the greatest common factor of 4615 and j?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 31136.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0093173 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**7\/2 - 19*k**3\/6 - 25*k. What is the second derivative of m(b) wrt b?\nAnswer: 420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**3\/6 - c**2\/2 + 47*c - 28. Let u(f) = f + 4. What is 6*a(k) + u(k)?\nAnswer: 7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 16069654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 76 = -29*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 147974 rounded to the nearest one thousand?\nAnswer: 148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.64 times -100?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 6480?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-3 - -3) + 29. Suppose -n = m - 79. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33224044*r**2 - 166976764 wrt r?\nAnswer: 66448088*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 11*t - 5. Suppose 75 + 9 = 12*m. Give f(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -27. Suppose 5*y - 3*a - 5 = u, 5*a = -25. Put 3, y, 1 in ascending order.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13042764167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 2)\/((-72)\/6 - -4). What is the closest to w in -0.2, -5, -133?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 - -6.3. Let d = -1.9 - -3.9. Let i be (-4 - -1)\/((-9)\/(-6)). Which is the biggest value? (a) h (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -399*n - 95. Let l(h) = -25*h - 6. Let w(u) = -u**3 - 7*u**2 + 19*u + 50. Let q be w(-5). What is q*l(s) + 6*c(s)?\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2*f + 17 = 3*f, 5*w + 5 = 5*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-65 - 242 + 24)*(-r - 4*r + 4*r).\nAnswer: -283*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53967, -60556, -67145, -73734, -80323, -86912?\nAnswer: -93501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -7800948 and -7800943 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + j**2 - j**4 - j + 5 + 2*j - 3*j to x*j**2 + t*j + y*j**4 + a + v*j**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 - v**5 - 2*v**5 + (-3*v + 2*v + 5*v)*(-4*v**4 - 4*v**4 + 10*v**4) + 550*v**4 - 9*v**5 - 550*v**4.\nAnswer: -3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - n**2 + n - 1. Let z(m) = 12*m**2 + 22 + 19 - m**3 - 63 + 4*m - 16*m**2 + 18. Determine -4*j(o) + z(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(2 + (sqrt(147) - ((sqrt(147) + 2 - sqrt(147))*5 + sqrt(147)) - (sqrt(147) + sqrt(147) + -1 + 1))) + -3)**2.\nAnswer: 3920*sqrt(3) + 10633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 7:59 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 16 = -12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) + (-10)\/(-4). Suppose -14*j = -28*j + 14. Suppose 0 = -s*q + 63 + j. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1534\/45 - 308\/9. Let p(h) = -h**3 - 6*h**2 + h + 2. Let d be p(-5). Let b be 12\/d + 36\/35. Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 140. Suppose 0 = 2*b - o + 4. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7346350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*k - 17, 2*c + 20 = k + 35. Let x(a) = -a**3 - 8*a**2 - 3*a - 21 + 2*a**3 - 6*a. What is the tens digit of x(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 4, -4, -16, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -212020222 (base 3) in base 8?\nAnswer: -41073","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-10\/9)*(u\/(u\/u**6*u)*u*u)\/u)\/((u**(1\/5)*u)\/u)**14)**(2\/7) assuming u is positive.\nAnswer: u**(188\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s = 115*s - 468. Solve 5*l - 9 = -2*c + s, 3*l = -5*c + 28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 134 - 142 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14804, 14932, 15060?\nAnswer: 15188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0 = -2*p + 13, 0 = 4*p - 3*m - 27. Suppose -4 = p*x - 34. Solve 4 = -x*w + w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (-15 - (-21 - -70 - 81))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b. Suppose -116 = 2*h - 2*z - 158, -h - 2*z = -15. Let v(a) be the first derivative of -h + 0*a + 11\/3*a**3 + 0*a**2. Give v(l(d)).\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.75988 years in months?\nAnswer: 33.11856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**8*g)\/g)\/g**(-3\/11))**13\/((g\/(g*g**(-1\/4)\/g))**28*(g*g\/(g*g*g*g**(-1\/2)))**(-27)) assuming g is positive.\nAnswer: g**(1299\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4302439 + -0.16493\nAnswer: 4302438.83507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**5)*l**(-2)*l)\/(l**1*l\/(l*l**(-1))) assuming l is positive.\nAnswer: l**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1350*l**3 + 26897*l**2 - 26897*l**2.\nAnswer: 1350*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088990745 to the power of 1\/2, to the nearest integer?\nAnswer: 45705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**3 + 5 - 8 - 32 + 2 - 17*j**2 wrt j?\nAnswer: -6*j**2 - 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 + 747*x**2 + 1089*x - 10052. What is t(-372)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -12*z**3 - 18*z**2 - 76*z - 34. What are the prime factors of h(-8)?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 104 times 482?\nAnswer: 50128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 11) in base 2?\nAnswer: -110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362502426 is divided by 13524.\nAnswer: 13522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128056*l**3 + 254959*l**3 - 127990*l**3.\nAnswer: -1087*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.5865 - -0.6365. Round p to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 959.5134 years to centuries.\nAnswer: 9.595134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 8*v**2 + 8*v + 10. Calculate the remainder when z(8) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (2 - 12)) + -12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*i - 3 + 338*i - 566*i + 3 + 330*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-5)*15\/135.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 2*a + 2. Let h be v(4). Let d(y) = -h*y + 2*y**3 + 1 - 4*y**3 + y**2 + 3*y**3 - 12*y**2. What is the tens digit of d(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, -269, 367 in ascending order.\nAnswer: -269, -10, -4, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a53d (base 15) to base 13.\nAnswer: 2cc35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5963 - -6134. Let x(v) = 817*v - 171. Let q(l) = 19*l - 4. What is d*q(n) - 4*x(n)?\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 5*z**2 - 5*z - 2. Let m(k) = -2*k - 40 - 3*k**2 + 38 + k**3 + 0*k**3. Let d be ((0 - -2)*-2)\/(-1). Let n be m(d). Calculate g(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*(-504)\/(-576).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/117? (a) 2\/9 (b) -2 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**4)\/(t*(t*t\/t**(7\/4))\/t) assuming t is positive.\nAnswer: t**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/330449 and 39\/377656.\nAnswer: 2643592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 2550?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1308)\/15 + -6)\/(4\/(-10)). Let k = 244 - l. Sort k, -3, -2.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 1)*(-5*y + 4*y + 3*y) + (-3 + 2 - 4)*(-2*y - 2 + 2) in the form o*y + z and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-56))\/((-6441)\/8588).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -964 + 1383 + 1053 = 184*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.27811 months in decades?\nAnswer: 1.11898425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(50\/(-60))\/((-3)\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 2*s, 0 = 2*f - 2*s + 22. Let t be f\/(-2) + (-2 - -1). Suppose -t*d + 4 + 2 = 0. Solve 0*n - 5*n = d*z - 6, 5*n - 16 = 3*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231072 and 48?\nAnswer: 231072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5790725 - -0.5\nAnswer: -5790724.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**4\/3 - b**3\/6 - 8*b**2. Let o = -4 + 0. Is j(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405 and 96183?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 70 (b) -0.5 (c) -1.83 (d) 18 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13.92 from 6.81.\nAnswer: -7.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/7, -1.5, 0.3, 2\/5 in increasing order.\nAnswer: -1.5, 2\/7, 0.3, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(44)\/sqrt(4)) + 2.\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289215804?\nAnswer: 2, 3, 41, 109, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00162 and 102.172?\nAnswer: 0.16551864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 54*z**2 + 9*z - 19. List the prime factors of k(-5).\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3493\/10 - -347. Calculate the common denominator of j and 2\/((-16)\/428*-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -5\/4, 4\/5, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102.779 - -102.820249. Round w to three dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -780+80230\nAnswer: 79450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + 2*p + 35 - 214597*p**4 + p**3 - 3*p**2 + 214595*p**4 as b*p**2 + g*p**3 + j + q*p + u*p**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqdddwbwwwdqbdqw. What is prob of sequence wd?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 10 - 6 = 0. Let i = -8 - 4. Let v = i + 11. What is the third smallest value in p, 0.2, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10\/9 - 29\/18. Let p = -0.39 - 0.01. Suppose -3*r - 19 + 1 = 4*d, 0 = 4*r + 8. What is the biggest value in p, t, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 4*s - 2. Let b(d) = 4*d - 1. Let i be b(-1). Let w be v(i). Let m = -2 - w. What is the remainder when 14 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/9 or -3?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 6*q**2 + 6*q + 6. Let x be u(-5). Let p = x + 2. Let o = -15 + 26. Solve -5*m - o = -p*y - 2, -2*y + 5 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -120, -4, -3, 2\/21 in increasing order.\nAnswer: -120, -4, -3, 0, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 28 (b) 2\/5 (c) -1\/124 (d) -5 (e) -1\/9 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 102640.726 to the nearest 1000.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i + 47. Let c be t(6). Let w be (12\/(-6) + 3)*c. What is the third biggest value in w, -5, 0.2, 13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 - 136. Suppose 6*q + 6 = m*q, -2*r = 5*q - 32. Suppose 0 = v, -z - 2*v + 44 = -0*v. What is the greatest common divisor of r and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -14 + -15 - -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40864, 40889, 40940, 41029, 41168, 41369?\nAnswer: 41644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 - 1\/3. Suppose -5*r - 5*h + 10 = 0, -4*r + 5*h + 26 + 27 = 0. Suppose m = 8*m - r. Put 4, m, l in descending order.\nAnswer: 4, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*k - 175 = 0, -2*q - 7*k = -3*k - 74. What is the smallest common multiple of 24 and q?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269806 is divided by 53954?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Let u(d) be the third derivative of 1\/10*d**5 + 0*d**4 + 0*d**3 + 0 + 0*d - d**2. Calculate q(u(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111.9 - -111.7. Let m = -2\/137 + -260\/959. What is the nearest to -1 in a, m, 3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3036 - -3032. Which is the second biggest value? (a) -1\/4 (b) 0.39 (c) -1\/33 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1585016334?\nAnswer: 2, 3, 11, 8005133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1514*q - 290813 + 290813 to i + f*q and give f.\nAnswer: 1514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 9. Suppose -2*t + 5*t - 15 = 0, 5*m + 15 = -k*t. List the prime factors of 5*(-2)\/4*m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p = -27*p - 25. Solve 4*o - 6 = s, -5*o + 2 = 4*s + p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2630 and 37.1.\nAnswer: 97573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*c - 540 - 92, 636 = z - c. Calculate the highest common factor of z and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-42))\/(18\/21).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-38)\/(-133))\/((-6)\/28)*135\/36)\/2.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468327 greater than 1468325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1442*d + 5382 = 1455*d. What is the remainder when d is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 - 66. Let q be (c\/(-15))\/(-1 - (-309)\/306). Let h be 344\/10 - 8\/20. Calculate the highest common divisor of h and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 - 0.3. Let m = -1.05 + 0.05. Which is smaller: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 - t**4 + 2*t**4 - 3*t**4 + 4*t**4 - 2*t**4 + (2*t**2 + 2*t**2 - 2*t**2)*(3*t**2 + 0*t**2 - 5*t**2) + 31*t - 3 + 3*t**4 - 31*t.\nAnswer: -3*t**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 8*l - 2. Let t be j(9). Do 0 and t 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 173250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6267632 divided by -223844?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18420973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-26)\/(-39))\/(1\/3). Suppose 3*c - 44 = -m*f - 7, -5*f + 4*c + 35 = 0. Solve 13 = 2*o - j, -2*o + o + 2*j = -f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = 30*n - 66. Suppose -8*j + 153 = -n*j. Let h = 201 + j. Is 50 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669 is divided by (2\/(-2) + 82\/6)*(-35 - -38).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 1, k: 1, h: 1, g: 1}. Give prob of sequence kx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (13025\/(-5210))\/(15\/(-204))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209459623, 209459627, 209459631, 209459635?\nAnswer: 209459639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -152, 3, 1, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13 - k - k + 11*k + k**2. Let v be x(-11). Let b = v + -7. Solve 6*s = b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m = -54*m - 300. Let d = m - -140. Solve -w - 2*c - 2 = -c, 5*w = 5*c + d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -19.4. Put -3, y, 0 in increasing order.\nAnswer: -3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.221148 * 71.\nAnswer: -15.701508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*g - 4251 = 0, 9*k - 1414 = 8*k + 2*g. What are the prime factors of k?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 6*u - 168. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4013, 4008, 4003, 3998?\n\"Answer: -5*s + 4018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i = -2*r + 1, -4*i = 4*r - 4. Suppose -3631 = -5*u + 5759. Is r\/7 - u\/(-42) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 7:52 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5481045 is divided by 2302?\nAnswer: 2285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 187?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z - 9. Let s = -3 + 9. Let i be m(s). Let k(c) = 26*c**2 - 622*c - 37. Let f be k(24). What is the highest common factor of f and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/7 - 129*t**2\/7 - 18*t = 0. Calculate t.\nAnswer: -6, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 79?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 5. Find the first derivative of j - g**3 - 6 - 6*g**3 wrt g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -2297, -4\/7, -2\/17, 5 in ascending order.\nAnswer: -2297, -4\/7, -2\/17, 1\/12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -486013\/6 + 162005\/2. Let n = -4.97 - 0.03. Sort n, 4\/5, c in increasing order.\nAnswer: n, c, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -307 and -32038865.\nAnswer: -32039172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3924392 and -3.9303.\nAnswer: -3924395.9303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4942252727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.26102 * -0.3\nAnswer: 0.078306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1595080728551\/2754 - -579186882. Let h = 8\/1377 - v. What is the common denominator of -17 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4634448 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2 + 2*a + 1. Let z(t) = 15 + 4*t - 5*t**2 + 15 - 28. Let r(n) = -4*h(n) + 3*z(n). Give r(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.012 - -168.012. Let a = h - 168.0037. What is a rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.1 (b) 17 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v**2 - 6*v + 6. Suppose -4*r - 18 = 6. Let m be (-21)\/18*(-754)\/(-182) - (-7)\/(-42). Let n(d) = -12*d**2 + 5*d - 5. Calculate m*p(k) + r*n(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -605.29 to the nearest ten.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 4*g**2 - 3*g + 1. Let k be v(3). Suppose 5*p + 7 = -3*r, 3*p + r + k = -0. Let b = -3 + 3. Put b, p, -1 in ascending order.\nAnswer: -1, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/6))\/n)\/(n**(-1\/8)\/n) assuming n is positive.\nAnswer: n**(31\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 80341 - 804103 = 0. Suppose 4*l - 3*k - k - p = 0, 100495 = 5*l + 5*k. Round l to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*d + 11, -2*d - 19 = 2*n + 3*d. Let w be (-2)\/n + (-531)\/21. Let a = w - -60. Solve -5*z - a = 5*k, 0*z = -3*k + 4*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 24*k**2 + k + 20. Calculate d(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + k. Let s(p) = -p**3 + p**2 + 1. Let v be s(1). Let y(u) = 5*u**2 + 6*u + 5. Let b(h) = v*y(h) - 2*q(h). Give b(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 429 + -362. Suppose -15*h + a = 52. Solve -o - g + h = 0, 7 = 5*o + 4*g - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -1\/3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -9. Suppose 0 = 3*t + 4*o - 3, h*t - 5 = 3*o - 3. Is t greater than -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 13. Let l be z(8). Let n(a) = -15*a + l*a - 9*a**2 + 4 + a**3 - 1. Is 18 a factor of n(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 612 and 255?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121495509 to the nearest integer?\nAnswer: 11023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/30 + 26\/(-36)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*s - 4. Calculate the lowest common multiple of s and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1076815, 2153684, 3230563, 4307458, 5384375, 6461320, 7538299?\n\"Answer: p**3 - p**2 + 1076865*p - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 46*f + 20. Let j be m(-22). Suppose -21 = -5*b + 14. Suppose b*h - 3*h - j = 0. Calculate the highest common factor of h and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.349827 + -1.\nAnswer: -1.349827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 60 = -6*s. What is the third smallest value in -15, -4, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1972 + 2811. What are the prime factors of p?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1\/3))\/g)**(-5\/3))**10\/(g**5*(((g**(1\/9)*g)\/g*g)\/g*g)\/g*(g**(1\/9)\/g*g*g)\/g*(g\/(g\/(g\/g**(-4))*g))\/g) assuming g is positive.\nAnswer: g**(-124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6831 and 3.\nAnswer: 6834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**16*u)**(1\/2) assuming u is positive.\nAnswer: u**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 20*s**2 - 263*s - 381. What is t(-11)?\nAnswer: -1239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 10*r + 24. Let p be 8\/(-6)*3\/(-1). Let f be r\/(-12) + (-164001)\/p. Round f to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(832) - (2 + (sqrt(832)*-2)**2).\nAnswer: -3335 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from {y: 2, v: 4, o: 2, t: 1, j: 1, p: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 11*b**2 + 0*b**4 + 1\/5*b**5 - 2*b + 0*b**3 + 0. Differentiate r(v) wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 699*h**2 + 6942*h**2 - 1811*h**2 + 6605*h**2 in the form q + l*h**2 + k*h and give l.\nAnswer: 12435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -0.3 (c) -1.94 (d) 703\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 178716 + -3?\nAnswer: 178713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 510793.72 and 1.\nAnswer: 510793.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by (-16)\/(-40) + (-63)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671394171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i - 32\/9*i**5 - 2\/9*i**3 + 0*i**2 + 16\/9*i**4 + 0.\nAnswer: -2*i**3*(4*i - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(4 + 2)*5. Suppose -882*s + 36 = -880*s + 3*t, 4*s - 42 = -t. Which is the nearest to y? (a) s (b) 2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - u**2 - 4*u. Let o(w) = -w**3 - w**2 - w. Let f(q) = 3*o(q) - z(q). Calculate f(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12129 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -116*a**3*q*v**3 - 2*a**3*v**3 - 5056*a**3*v**2 + 4*a**2*v - 49433*a*q*v**3 - 2*a*v**3 - 10*a*v**2 wrt q?\nAnswer: -116*a**3*v**3 - 49433*a*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/28)\/((6\/4)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3569754*c**2 + 446554*c.\nAnswer: 7139508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 679517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ackaaka.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/4 (c) -38 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuxhxxuxxxurx. Give prob of picking 1 r and 2 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34688 is divided by 1195.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 148293.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46236 - 10196 = 34*l. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1 + 0*w + w - 6. Let g be 4\/18 + 79\/9. Is v(g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5*f - 30. Suppose -53 = 10*h - 413. Suppose -h = -f*z - 1. Calculate the least common multiple of z and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 44*x**3 - 11*x**2 + x - 4. Let a(d) = -22*d**3 + 6*d**2 - d + 2. Let r(q) = -7*a(q) - 4*l(q). What is r(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1000)\/(-44000))\/(((4\/2)\/18)\/(16\/(-48)))?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 4 + -8 + 4\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 0.08401100420527?\nAnswer: 2.08401100420527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.84 + 0.24. Let w = -322.77 + 320. Let o = w - q. Is o less than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4\/3 - 1538*o**3 - 25072*o**2 - 197734*o\/3 + 39416 = 0. What is o?\nAnswer: -1137, -13, -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/10)\/b**14*b**14*b*b\/(b**(-8)\/b) assuming b is positive.\nAnswer: b**(113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 2:56 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 5*y = -8*a - 22, -3*a - 3 = 3*y. Let g(n) = -n - 8. Let v(c) = -5*c - 32. Give a*g(x) + 2*v(x).\nAnswer: -x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57392 is divided by 302?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u - 5*u**3 - 39*u - 16*u + 4*u**3 to the form a*u + p + m*u**2 + o*u**3 and give a.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f - 1340. What is s(79)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6 + w**3 + 5*w**2 - 3*w + w**3 - 3*w**3 + 0*w**3. Calculate b(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**5 + z + z + 2*z**5. Let s(q) = -2*q**5 + q. Let y(l) = 5*s(l) - 3*v(l). Find the second derivative of y(m) wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**2 + 371870*u + 743758. Calculate p(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41716338 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 8 = j, 5*d = -135*j + 123*j + d - 0*d - 184 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105012 - 0?\nAnswer: -105012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 - 5. Let b(c) = 7*c**2. Give b(n(q)).\nAnswer: 63*q**4 - 210*q**2 + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -128966 in descending order.\nAnswer: 3, -3, -128966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000022932824 rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + (-6 - -13 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (807*j - 807*j - 4*j**2)*(2 - 1 + 1)*(-2*j**2 - 3*j**2 + 4*j**2).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w**4 + 4*w - 3*w + 11*w**4 + w**2 + 3 as m*w**2 + t*w + n*w**3 + l + y*w**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(85) - sqrt(85))*1 - sqrt(85)) + (sqrt(85) - -2*sqrt(85)*1))\/(sqrt(60)\/(sqrt(60)\/(sqrt(5)*4) + sqrt(12))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from xwzdyyzyqyyyyq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -536\/1132471 or 1?\nAnswer: -536\/1132471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*i - 40, 4*r - 2*i - 8 - 28 = 0. Let l = r - 5. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 162 = d - 5*d, -2*t + 5*d - 78 = 0. What is the remainder when (-14)\/(-4)*3\/((-3)\/t) is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2 - 6. Let k(i) = 9*i**2 + 10. Let p(v) = 5*a(v) + 3*k(v). Let o(z) = -4*z**2 - 2*z**2 + 3*z**2. What is p(o(q))?\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**3\/3 - 521*s - 2. Let i(a) = 2*a**2 - 64*a. What is i(f(v))?\nAnswer: 8*v**2 - 128*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36561 is divided by 7310.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (17 + -23 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 29*j = 77 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 + 14 = -4*j, 2*j - 44 = -4*r. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (-36 + (44 - 0))) + -50 + -1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197 divided by -6.\nAnswer: 197\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from zzfzzfzzffzf?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 70, 77, 64, 25, -46, -155?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28543*c**2 + 17259*c**2 - 64261*c**2 - 25206*c**2.\nAnswer: -100751*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2864282 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7157 is divided by 1720?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/6)\/(20\/75). Let z(d) = -264*d - 12. Let o be z(-4). Let c be o\/(-20) + (-4)\/w. Which is bigger: -52 or c?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 0.519409?\nAnswer: 3.480591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -91d6 + 2c?\nAnswer: -91a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 2, g: 1}. Give prob of sequence if.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 109 - 143 = -4*v, -v + 2*z = -66. Does 29 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 107\/3, -1.2, -1\/10, 5, 2\/7?\nAnswer: 107\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 2 = t. Calculate the greatest common divisor of 35 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 0.05, -4 in decreasing order.\nAnswer: 0.05, -0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 8*y - 120. Suppose 3*g - 2*t = -34, -g + 5*t - y = g. Let j = -6 - g. Solve 0 = -5*w + 2*w + 3*z - 3, 5*w + j*z - 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -646439.99 + 0.2\nAnswer: -646439.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38\/3 - -143\/12. Which is the closest to 1? (a) 1 (b) x (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189841 divided by 12.\nAnswer: -189841\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7428 by -1857.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 4:21 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*y**2 - 9*y**3 + 28*y**3 - 16*y**3.\nAnswer: 3*y**3 + 52*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.511 to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44304791?\nAnswer: 44304791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6.7377123 seconds?\nAnswer: 0.00007798278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*w**2 - 2392*f**2*w + 2*w**2 - 1741 wrt f.\nAnswer: -2*f*w**2 - 4784*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17891 is divided by 472?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**5\/20 + f**3\/6 + 18*f**2 - 109*f. Calculate i(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -249035\/12 - -62258\/3. Suppose 0 = -2*d + 4 - 2. What is the nearest to d in b, 0.04, 5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, -41, -78, -137, -224, -345, -506, -713?\n\"Answer: -q**3 - 2*q**2 - 8*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -20*j - 162 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 24*g - 27*g. Let h = 17 - g. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 674.3183 years in months?\nAnswer: 8091.8196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5206 + 5210. Solve -5 = -q + h + 4, 2*h - 6 = -z*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -13*j**2 + 42*j - 357. Let w be f(17). Round w to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144244103 (base 5) to base 12\nAnswer: 314533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ragugmgulrgrgmmgumr. Give prob of picking 1 m and 2 u.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1918129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -340 + 332. Let s = p + 7.999998205. What is s rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 265, 299, 333, 367?\n\"Answer: 34*c + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/((-21)\/(-6)))\/2. Does 2\/7 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1234 (base 6) to base 13\nAnswer: 1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2852258 or 2852239?\nAnswer: 2852239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:11 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 24448*u**2 - 4*u - 33. Let o(p) = 7*p**2. Calculate y(o(w)).\nAnswer: 1197952*w**4 - 28*w**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33278966 and 4.\nAnswer: 66557932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4509841 to the nearest integer?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12517076, -12517086, -12517096, -12517106, -12517116?\n\"Answer: -10*t - 12517066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2563405 (base 8) in base 3?\nAnswer: 1100022010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -6, 137 in decreasing order.\nAnswer: 137, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -2*g + 13, 3*g - 59 + 44 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228695.3ml to litres.\nAnswer: 228.6953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z - 63 = -63 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 5:11 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*l + 10, 1 - 23 = -5*l + i. Let g = 105 - 62. Let h = g + -14. Solve 2*o + l*x + h = o, 3*o + 37 = -5*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*k = -2*k - 19, -k = 2*q + 9. Suppose -225*n + 195*n = -1170. What is the remainder when n is divided by q\/6 - 62\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11881212 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -3.7. Let s = a + 0.7. Let g = -0.2 + 0.3. What is the nearest to 0.1 in g, s, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 14*a + 80, 164*v + 30 = -2*a + 160*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257237631.\nAnswer: 13, 157, 331, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0, -1, -0.2, -1\/107?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.2, 2\/5, 5 in descending order.\nAnswer: 5, 0.5, 2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183 and ((-10)\/(-25) - 63\/(-5)) + -1?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 3*o**2 - 9887*o + 69458. Determine d(7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = 1. Let k(a) = -5*a**2 - 517*a - 3089. Let n be k(-97). Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + 29b0?\nAnswer: 29c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3823 - 25*l**2 + 3823)*(2*l**2 + l**2 - 2*l**2) - 2*l + 2*l + 2*l**4.\nAnswer: -23*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -32, -19663 + 65921 = 2*c - 2*h. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33789 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -132 + -556?\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 125, 220, 285, 308, 277, 180, 5?\n\"Answer: -2*q**3 - 3*q**2 + 118*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - r + 22. What is d(-9)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*x = -3*h - 679*x + 39, -4*h + x = -43 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m*x**4 + 1125*m + x**4 + 79*x**2 wrt x?\nAnswer: 4*m*x**3 + 4*x**3 + 158*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5. Let q = -17\/21 + 1\/7. Let c = 1 + 0. What is the closest to q in c, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*z - 63 + 63 + 225*z)*(3 + 0 + 0)*(-5*z - z - z) as d + w*z**2 + g*z and give w.\nAnswer: -4053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-4)*r*r**(1\/4)*r**(7\/2)*r**(2\/5))\/(((r*r**(-3))\/r**(-2\/3))\/(r**(-2\/5))**(-40)) assuming r is positive.\nAnswer: r**(1709\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570042202.\nAnswer: 2, 37, 7703273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159380172 and 128731.\nAnswer: 5597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -2 - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 = 2*q - 0, 4*q = -3*g - 20. What is the third biggest value in 2, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(-391*r**2 + 193*r**2 + 2 + 1040*r**3 + 199*r**2).\nAnswer: -2080*r**3 - 2*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10084\/113 in -6\/13, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 74 - 3. Let g = -158 - -42. Let k = x - g. What is the remainder when k is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2919 at least -447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*y - 10, -2*g - 6*y + 16 = -y. Suppose -g = 5*o - 2*o. What is the units digit of o\/(-2) - 330\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 - 45 - (-3 - -76)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/18 and 5\/6*(1 + 52\/10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-115)\/(-46)*(-2)\/(-10). What is s in -z*s**3 - 1\/2*s - s**2 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1291*v + 4 = 4*a + 1288*v, -36*v - 283 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2274 times -0.1\nAnswer: 227.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630810 less than -1?\nAnswer: -2630811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 160 = 5*c, -11*c - 100 = -16*c + 5*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 6*p - 6*p = -4*t - 35 + 91, 1105*t - 6*p = 1106*t + 17 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 1. Let u(q) = 4*q**2 + q - 3. Let b(m) = -5*o(m) - u(m). Let v(y) = y - 4. Let d be v(4). Determine b(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/156 - 1*(-3)\/6. Do 0 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2182.934 litres to millilitres.\nAnswer: 2182934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(16\/3)*t**(3\/34))\/(t\/(t*t\/t**(-18)*t*t*t)*t*t\/t**(-3\/7)) assuming t is positive.\nAnswer: t**(17845\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 21667*h + 39 = 21670*h, -62 = -5*n - 4*h for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -m + 4*n + 19, 77 = 5*m - n. Suppose -11*p = -m*p + 1068. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, l: 2, x: 4}. What is prob of picking 3 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 717, -4\/9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 462997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z - 4. Suppose 2 = -l + 5. What is the units digit of v(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21885602 by 8.\nAnswer: 10942801\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.81 + -0.21. Let l(s) = -5*s - 50. Let d be l(-8). Let f be (-11 - d)\/(12\/2). Which is the closest to -0.1? (a) f (b) -2\/11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 198*t + 6. Let j be 66 + (3\/3)\/(-3)*6. Let o = 65 - j. List the prime factors of p(o).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51777?\nAnswer: 3, 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -17*c**4\/2 + 11*c**2\/2 + 4. What is the second derivative of m(v) wrt v?\nAnswer: -204*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = l - 14. Suppose 0 = 5*u + 3*q - 8*q - 705, -l*q = -2. What are the prime factors of u?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -3, 1\/25, 2\/7 in descending order.\nAnswer: 2\/7, 2\/11, 1\/25, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w**3\/4 - 93*w**2 + 1239*w\/4 + 147\/2 = 0 for w.\nAnswer: -2\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/3)\/r**(8\/3))\/(r*(r*(r*r\/r**0)\/r*r)\/r*r*r\/r**(-6)*r*r) assuming r is positive.\nAnswer: r**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11332629 by -297.\nAnswer: 38157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/245)\/(2\/(-5)). Which is the nearest to 2? (a) 5 (b) 2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v. Let m be (-4 - 32\/(-14))*7. Let c = m + 12. Let x(d) = c - 27*d + 29*d + 0. Calculate t(x(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2146*w - 731*w**2 - 69*w**2 + 2147*w - 58*w**2 as i*w**2 + y + t*w and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2688)*-2*-1)\/((sqrt(66)*2)\/sqrt(11) - (sqrt(6) + 1*sqrt(384)))*6)**2.\nAnswer: 36864\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {r: 2, d: 4, o: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3335*k**3 + 4*k**2 + 61*k - 2 wrt k.\nAnswer: -20010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137568 is divided by 1764?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7335 (base 16) in base 8?\nAnswer: 71465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 612 and 68?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - g = -6*g + 37, 2*u + 3*g - 24 = 0. Suppose -4*n = h - 56, 0*n = n - h - u. What is the remainder when 25 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -20. Let b be ((-3)\/(6\/h))\/2. Suppose -150 = -b*n + 358. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1352.69, 0.1, -0.1, 2\/21 in ascending order.\nAnswer: -0.1, 2\/21, 0.1, 2\/3, 1352.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -42 + 5214 - (3 - 1). Calculate the greatest common factor of 47 and h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -357 (b) -0.9 (c) -0.3 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o**3 - 2*o**2 - 17*o - 2. Let f(i) = -36*i**3 + 9*i**2 + 69*i + 9. Let n(g) = -2*f(g) - 9*y(g). What is the second derivative of n(z) wrt z?\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.5579 * -5\nAnswer: 47.7895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 267 and 19046?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172767 - 1556426\/9. Let s = -169 - v. What is the smallest value in -2\/23, 1, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2440 and 111495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5)\/l*l*l*l*l**4*l)\/(l**(-6)\/(l*l**(2\/21)*l*l*l))*((l**1\/l)\/((l**(-2\/23)*l)\/l))**(3\/4) assuming l is positive.\nAnswer: l**(83851\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (48 + 1 - -3) + 608 + -596\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(65\/(-5))\/(-26). Let l = -7 - -12. Suppose -2*w + 0 = -2*q - 10, l*w + 3*q = 9. Solve t - 3 = -a, -t + 2*a - o = -w*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, l: 2, q: 6}. What is prob of picking 2 q and 1 l?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 15*m**2 - 2*m - 2. Let x be b(2). Let y = 85 + -70. Let k = x - y. Calculate the remainder when k is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (0 - 9) + 9 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 176\/7*b - 192\/7*b**2 - 4\/7*b**4 + 60\/7*b**3 = 0. What is b?\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + -3 + (sqrt(1331) - (4 + sqrt(1331) + sqrt(1331))))**2 + 2 + (5*(sqrt(1331) + 4 + sqrt(1331)))**2).\nAnswer: 9020*sqrt(11) + 269716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 14*w**2 + 1074*w + 438. Let a(t) = 45*t**2 + 3237*t + 1313. Let c(k) = 6*a(k) - 17*b(k). Determine s, given that c(s) = 0.\nAnswer: -36, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35\/(-7) - -1*3. Let z be (-2)\/m + -4 + 114. Suppose -h - 54 = -3*g, h + 13 = -5*g + z. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 55454577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -128, -190, -250, -308, -364, -418?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:55 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -1.5 (c) 4 (d) -4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.6544022 to three decimal places.\nAnswer: 105.654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989 is divided by 53.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8622096 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -15, -37, -77, -141, -235?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1476 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -4, 56, 4.\nAnswer: -4, 2, 4, 9, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2789367 to the power of 1\/2, to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-79 - (96 + -127)) + -30\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151197 is divided by 50313.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07753 (b) -52 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/18 - (-78)\/(-220) - (1054\/(-85) + 11)?\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = -42*l - 34*l + 30153. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, m: 1, s: 1, h: 1, a: 4}. Give prob of sequence ahms.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 587*g + 588*g + 1136, -5*j + 4*g + 1891 = 0. Calculate the remainder when 3046 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-1 - sqrt(68))*3*-3 + 0 - -5*5*(sqrt(68) - 4*-1*sqrt(68)))**2*2.\nAnswer: 2781064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**8\/2352 - k**7\/294 + 3*k**6\/140 + k**5\/21 - k**4\/3 - 43*k**2 - 11. What is q in w(q) = 0?\nAnswer: -7, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0*q**5 + 1\/30*q**6 + 0*q**2 - 3 + 0*q**3 - q + 11\/2*q**4. What is the third derivative of c(m) wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4441894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 605622 (base 7) in base 8?\nAnswer: 310723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g - 1. Let k(m) = 5*m - 16. Let z(n) = -k(n) - 6*x(n). Let t be z(-16). Suppose -b = b - t. Solve -v + b = 2*w - 8, 10 = 2*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z + 46. Let l be v(-6). Solve 5*c - 28 = 4*s, l*c + s - 8 = -3*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**5\/80 + 11*b**4\/24 - b**3\/24 - 11*b**2\/4 + 133*b. Factor u(f).\nAnswer: (f - 1)*(f + 1)*(f + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 5*w**2 + 3*w - 3. Let l be b(-3). Suppose 0 = -v + 2*v - l. Solve 4 = 5*s + 3*r, -r - v = 2*r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(5 + 1 - 4 + 6*s**2) - 3*s + s**2 + 3*s.\nAnswer: -11*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 84. Suppose -k*w - 1 = -6, -i - 6 = 4*w. Are -10 and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96 + 150. What is the highest common factor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Let o be -1 + (-16)\/(-4) - q. Let r(l) = 22*l + 4. Is 11 a factor of r(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x + 0 + 1 + 0 + 1.\nAnswer: -31*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (sqrt(288) + sqrt(288) + sqrt(288)*-3)*4)\/(2*sqrt(36) - -1*sqrt(144)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 643 = -0*z - 3*z, -2*z - 2 = 0. Let u = k - 270. Let y = 2794\/7 + u. What is the common denominator of 93\/2 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4 + 4*u**3 + 2*u**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, -21, -63, -133, -237, -381, -571?\n\"Answer: -p**3 - 5*p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 96*m - 3711. Calculate w(39).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 + 4.57. Let r = 4.92 + 0.08. Let d = u - r. What is the third smallest value in 2, -4\/7, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 12) to base 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 55\/17 (b) -0.4 (c) 1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 390 + 120. Suppose -n + 6*n - c = 0. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513610 times -9?\nAnswer: -4622490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**6\/120 + 4*h**5\/15 + 7*h**4\/3 + 3*h**3\/2 + h**2 + 3847*h. What is u(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfxzxfx. Give prob of sequence fxm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40465698*d**2*r**3 + 10*d**2*r**2 - 186136*r**2 wrt r.\nAnswer: 242794188*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 1. Let y(q) = 9*q + 5. Calculate 11*v(l) - 2*y(l).\nAnswer: 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 10) to base 14.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -2 (c) -439\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3169, 3131, 3093?\n\"Answer: -38*t + 3207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2589\/4 + -647. Put 5\/8, b, 2\/9 in descending order.\nAnswer: 5\/8, b, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 - -3.02. Let t = 2.53028 + 0.46942. Let l = t - p. What is l rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/4 and (2 - 1) + 90\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c086 + -4?\nAnswer: -c08a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -3, 46?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 33744*b**3 - 124511742*b**2 - 142961408136*b + 28636239651417.\nAnswer: -3*(b - 173)*(b + 3807)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -105, -90, -69?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 + 4*p**2 - p + 1. Let m = -6 + 9. Let l be h(m). Suppose -5*g + 0*g = -l. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16339 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -280655.1319 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 64, 127, 190, 253, 316?\n\"Answer: 63*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 + 0.38. Let q = 0.1 - x. Let o(c) = -c**3 + 2. Let t be o(0). What is the nearest to -0.1 in q, t, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-573 + 1134 - k - 568)*(-2 - 4 + 4) in the form o + j*k and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 713.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40635437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -3, -2, 11 in ascending order.\nAnswer: -50, -3, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -1\/30*i**4 + 0*i**2 - 2*i - 1\/50*i**5 + 0*i**3 + 0. Factor p(u).\nAnswer: -2*u**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103405, 103445, 103485, 103525, 103565, 103605?\nAnswer: 103645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 10:51 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(110) - -2*sqrt(110)) + sqrt(110))\/(2*-1*sqrt(10)))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 3*b**2 - 33*b - 38. Calculate the smallest common multiple of i(10) and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/35, 6, 0.481?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-4) - 735\/(-420).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 9*x**2 - 7*x + 6. Suppose 3*i = -i - 2*z - 106, -i = 4*z + 9. Let t = i + 37. Give l(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**2 + 7*d**4 - 132*d + 132*d - d**2 wrt d.\nAnswer: 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4774102*k**2 + 3906501?\nAnswer: -9548204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**4\/8 - d**3\/2 - d**2. Suppose -3*t = -3 - 9. Calculate the remainder when 17 is divided by x(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/3 + 44500*m**2\/3 - 1158022*m\/3 + 2450360 = 0. What is m?\nAnswer: -22276, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 1\/1176*y**8 - 1\/735*y**7 + 0*y + 0 + 5*y**2 - 1\/420*y**6 + 0*y**3 + 1\/210*y**5 + 0*y**4. Suppose k(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (376\/80 - 5)*8\/(-6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2224233 and 1415421.\nAnswer: 15569631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 37. Find z such that 17*z**2 - 10*z**4 - 3*z - f*z**2 + z**4 - 3*z**4 + 3*z**3 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-5))\/((-324)\/(-810)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*b - 2\/5*b**2 + 6\/5 = 0 for b.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*(-3)\/16*976\/732.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24113 (base 9) in base 13?\nAnswer: -745b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3 - 11. Let g = 1 - -1. Let r(y) = -4 - g*y**2 + y**2 - 6*y + 0*y**2. Determine r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + s - 3, 2*s - s - 5 = -2*v. Let b(d) be the first derivative of -1\/3*d**3 - v + 0*d - 1\/2*d**2. What is the second derivative of b(a) wrt a?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, y: 6, r: 3, m: 5}. Give prob of picking 1 y, 1 m, and 2 r.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o + o + 9*o + 1)*(o**2 + 0*o**2 + o**2).\nAnswer: 6*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**8\/6720 - p**5\/40 - p**4\/8 + p**2. Let i(s) be the second derivative of f(s). What is the derivative of i(z) wrt z?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5197 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-49) + 5456\/(-868).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-123)\/(((-6)\/8)\/((-13)\/(-4))). Let w = y - 531. Solve -2*a + w*t + 14 = -0*a, -4*a - 3*t = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1675*c**5 - c**3 - 19*c**2 - 2*c + 1.\nAnswer: -100500*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*q - 5*s, -12 = -5*q - s + 9. Solve -q*c = n + 2, 4*c + n - 3 + 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - k - 5*k)*(-257*k + 24 - 255*k + 514*k).\nAnswer: -4*k**2 - 48*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 201*z + 199*z - 5, -2*d + 11 = -5*z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 0*z**2 + 2\/3*z**3 + 0*z**4 + 3 + 4\/5*z**5 + 0*z. Find the third derivative of k(j) wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*2\/(-40))\/(50\/(-350)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3640 divided by 14?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from vsnty.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13293 is divided by 3322?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -9*z + z. Suppose -4*w = -12, 0*w + w = z*a - 73. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 - (-14)\/(-35)*-5 is divided by 43?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by -41?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848681883?\nAnswer: 3, 7, 13471141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + 2)*(-2)\/78. Let i = 2\/13 - w. Let z = 20 + -81\/4. What is the closest to i in -4, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5012358287 to two dps.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2 - 3*g. Let u(m) = -m**3 - 5*m**2 + 3*m - 11. Let h be u(-6). Suppose -h*c + 57 - 15 = 0. Let j(w) = 3*w**2 + 2*w. What is c*j(r) + 4*n(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4082868 is divided by 3538?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84428165?\nAnswer: 5, 2341, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7801\/1771 + 6\/253. Suppose -4*d - 73 = -y - 4*y, 51 = -3*d + 3*y. Calculate the common denominator of (d\/(-16))\/((-6)\/(-130)) and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*u**4 + 13492*u**3 - 895440*u**2 - 1993216*u - 295936 = 0. Calculate u.\nAnswer: -2, -4\/25, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 55450.24 hours?\nAnswer: 199620864000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13\/469 + 21\/67. Let z = -0.5 + 0.3. What is the smallest value in z, u, 0.02, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -172*x + 1810. What is the remainder when o(-11) is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*q**5 + 4075*q**4 - 18080*q**3 - 224135*q**2 + 241300*q - 3500 = 0 for q.\nAnswer: -10, 1\/68, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b820 (base 15) in base 5?\nAnswer: -41431310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/2 of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 28*j + 206. Let n be u(-34). Let v(x) = 3*x**2 + 3*x. Let p(r) = 48*r**2 + 48*r. What is n*p(m) - 33*v(m)?\nAnswer: -3*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-660))\/((-1872)\/140712).\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 51925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -101*d**6\/24 + 42*d**3 - 38*d**2 - 5*d. What is the derivative of r(x) wrt x?\nAnswer: -1515*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**2 + 3. Let v(j) = 4*j**2 - 3. Let p(o) = 2*v(o) + 3*x(o). Differentiate p(q) wrt q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 105*b + 59. Let k(r) = 140*r + 82. Give 8*k(h) - 11*l(h).\nAnswer: -35*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 602*c**3 - 7*c**5 - 602*c**3 + (39 - 11 + 31*c - 29*c)*(-c**4 + 4*c**4 - 5*c**4) + (0*c + 0*c - c)*(3*c**4 + 0*c**4 + 0*c**4) - 3*c**5 - 2*c**5 + 7*c**5.\nAnswer: -12*c**5 - 56*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1575.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2484 - 1280?\nAnswer: -3764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*z + 13954 + 1682 = 82*z - 11743 for z.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13217 and 6?\nAnswer: 79302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.569001 rounded to two dps?\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110 (base 3) to base 5.\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2. Let f(o) = 11*o**2 - o - 8. Let j(t) = f(t) + 4*h(t). Let d(n) = -4*n**2 + n + 9. Give 5*d(v) + 6*j(v).\nAnswer: -2*v**2 - v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 3705.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5089.314 rounded to the nearest integer?\nAnswer: 5089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 21*k = 0. Suppose k*a - 9*a + 1323 = 0. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -3*i**5\/10 + 3*i**3\/2 + 3*i**2\/2 - 6. Factor k(m).\nAnswer: -3*m*(m - 2)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 15*y**2 - 327*y + 1. Calculate the remainder when b(22) is divided by (0 + -2)\/((-4)\/34).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21012 (base 3) to base 13.\nAnswer: 11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/28*8 + (7 - 0). Let i(y) be the first derivative of y**3\/3 - 3*y**2\/2 + 6*y + 41. What is i(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*z**3 + 104*z**3 + 99*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 298*s + 9*s**2 - 297*s + s**2 in the form p*s + i + d*s**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -50410928.\nAnswer: 1\/50410928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23337, -56811, -100425, -154179, -218073, -292107?\n\"Answer: -5070*h**2 - 18264*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -4.06. Let q(k) = k**2 + 10*k + 4. Let r be q(-11). Suppose 5*x = 10*x - r. Which is the nearest to -2? (a) x (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3124515 (base 6) to base 7\nAnswer: -1200242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, o: 6, g: 2}. Give prob of picking 2 g and 1 p.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*p = -40, -34*l + 29*l + 5*p + 80 = 0. Let y(h) = h**2 + h - 4. What is the lowest common multiple of y(-3) and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x - 86 = 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/75619 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, -12, -25, -40, -57, -76, -97?\n\"Answer: -o**2 - 8*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10 - -10) + 6*6. Suppose -3*h = 3*h - r. Suppose 5*d - 110 = -4*p, -p = -5*d + 96 - 11. Calculate the smallest common multiple of d and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1800 - -2532. Does 37 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + (-21)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**3 - 2 + w + 2*w + 0 + 0. Differentiate s(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20124)\/1161)\/(28\/21).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7302\/21959 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*f + 7823 = -529 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*u + 31. Suppose 4*x - u = 8*x. Let d(j) = j. Let g(t) = 2*t - 1. Calculate x*d(b) + g(b).\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2651 is divided by 1567.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*b**3*s**2 + 71009*b**3*s*z + 2*b**3*z + 9*b**2*s**2*z - 412130*b**2*s**2 wrt b?\nAnswer: -60*s**2 + 426054*s*z + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k - 10130333 + 10131258 = 0 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73 and 9446419.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/14 + (-16)\/252)\/(1685\/(-337))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -26. Let y be 3\/4*(-72)\/n. Let c be 4*(0 - (y - 2)). Solve c*o = 2 - 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 7*m**2 - 7*m + 11. What is r(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 1. Let v = l + -0.5. What is the second biggest value in 4, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4760959*n**3 + 9521935*n**3 - 4760975*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m - 31*m - 35*m + 128*m - 32*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 4322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.015938 decades in millennia?\nAnswer: 0.07015938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/75 (b) 79 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(5) + -1 + sqrt(5))*-3 + (sqrt(15)\/sqrt(3) - sqrt(5) - sqrt(5))*-2)**2 + 0.\nAnswer: -72*sqrt(5) + 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-2 + -1 + 8. Let w(s) = 1 - h + 5*s + 3*s**2 - 2*s + 0 - s**3. Calculate w(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2948839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(32) + sqrt(32) + sqrt(32)*-4 + sqrt(32))**2.\nAnswer: 8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.78 + -1.703. Let z = -3.077 + x. Let f be 1\/(-20)*70\/(-28). What is the third biggest value in z, -0.3, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from {y: 2, r: 10, d: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28708, -28697, -28676, -28645?\n\"Answer: 5*x**2 - 4*x - 28709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210 - 145. Suppose r = 5*p - 5*w, 2*p = -4*w - 4 - 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04558 and 0.2897126143.\nAnswer: 0.3352926143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3385663, 3385664, 3385665, 3385666, 3385667?\nAnswer: 3385668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 158639+1851421787\nAnswer: 1851580426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9960.66l to millilitres.\nAnswer: 9960660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 5*d + 2. Let g be j(-5). Let q = g + 2. Factor -1\/4*h**5 + 0*h**q + 0*h**2 + 1\/4*h**3 + 0 + 0*h.\nAnswer: -h**3*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9876 + 0.0124. What is the closest to 0.3 in 0.02, 0, k, -0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -46. Suppose -2*r = -5*i - r + q, i + 3*r = 15. Let f = 9 - i. Sort 1, 0, f in increasing order.\nAnswer: 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722233996.\nAnswer: 2, 11, 1492219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 15 - 298*b**3 + 2.\nAnswer: -298*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.83 - 0.17. Let i = 6.4 - 6. Let a = -13\/2 + 6. Sort p, a, i in descending order.\nAnswer: i, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50837267603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*d + 13, -80*f - 11 = -4*d - 75*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2. Let o(m) = 1472*m**2 - 128*m + 64. Let k(p) = -70*p**2 + 6*p - 3. Let r(x) = -64*k(x) - 3*o(x). Calculate r(u(w)).\nAnswer: 256*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {d: 7, v: 12, g: 1}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 0)*(96\/728 + (-12)\/(-78))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 11:07 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 21*i**3 + 34*i**2 - i + 228. What is the units digit of o(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -v - 2*j - 5, -j + 1 = -2*v. Suppose -22 - 3 = 5*c. Let x be (4\/(-5))\/(2\/c). Solve 3 - v = x*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5 + 239*j**4 + 1033*j**3 - 14987*j**2 + 39984*j - 32076 = 0.\nAnswer: -11, 2, 3, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*p - 9 = -7, 5*p - 21 = 2*z. Let d be (2 + 0)*(75\/(-2))\/(-3). Suppose -n = -5*u - 0*n + 30, z*n = 5*u - d. Solve -3 - u = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6069 at most as big as -6197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 245565 and 9.\nAnswer: 245565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Let h be 26 + ((-14)\/2 - -4). Let b(y) = 11*y - 3*y + h*y. Give l(b(n)).\nAnswer: 961*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9820689974 rounded to the nearest one million?\nAnswer: -9821000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -20. Suppose -4*y = -5*z - 273 + 49, -86 = n*z + 2*y. Let l = -22 - z. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 5*q + 54 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.154, -1, -0.1, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*f - 10, -3*y - 6 + 0 = 0. Suppose p = 2*p - f. Let q = 2 + 2. Which is the second smallest value? (a) q (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = -4808 + 4763 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -54 (b) 0.04 (c) -5 (d) 32 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -16. Let m = -22 + u. Let q = m - -18. Is q > 2.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -p + 1288, -2*p = -6*p + 8. Let v = n + 10937\/17. Solve -10\/17*s**3 + 2\/17 - 18\/17*s**2 - v*s = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 1330?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3190 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/6 + 2*y**3 - 6*y**2.\nAnswer: -y**2*(y - 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64, 65, 58, 37, -4, -71?\n\"Answer: -b**3 + 2*b**2 + 2*b + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 180 - 1\/3*l**3 + 0*l**2 - 1\/4*l**4 + 17*l. Determine o(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 235 = -11*n. Let t = -43 + n. Differentiate 3*c**t + 145*c - 23 - 145*c with respect to c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111203202031 (base 4) in base 12?\nAnswer: -1a86011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/((-1)\/18*-1). Suppose -4*s + t*s - 10 = 0. Suppose -s*x + 76 = -86. Calculate the highest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -11*p. Let c(f) = -13*f**2. Calculate c(k(o)).\nAnswer: -1573*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -f + 50. Calculate the greatest common divisor of f and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j**4 + 612984*j**3 + 2618612*j**2 - 173968104*j - 49904640 = 0. Calculate j.\nAnswer: -21888, -19, -2\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5301008 is divided by 182.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:44 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 4. Let x(q) be the third derivative of -q**4\/8 + 11*q**3\/6 + 10*q**2. Calculate 11*w(j) - 4*x(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 2*m + 0*m + 5*m + 8. Let y be i(-6). Let k = 10 + -6. Solve -y - 2 = k*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-126)*195\/52 + 6\/(-8)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16044 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-48)*92*(-9 - 0). Let v = o + 71. Solve q = -b + v*q + 2, 0 = 2*q + 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372445 is divided by 124145?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209*t + 209*t + 5 + 10*t**2)*(-4*t**3 + 5*t**3 + t**3).\nAnswer: 20*t**5 + 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6840717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -65, -526, 4, -3 in ascending order.\nAnswer: -526, -65, -3, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 - 12\/(-3) - -33. Suppose -m + 89 - u = 0. Suppose 5*i - m - 25 = 0. Calculate the greatest common factor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82.33 - -83. Let j = 5.33 + m. Which is smaller: 0.1 or j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1123*g**2 - 509*g**2 - 549*g**2 + 10*g**3 to h*g**3 + m*g + i*g**2 + p and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/261 - 281\/2610. Suppose 2432*y - 2400*y = -12 - 20. Which is smaller: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26627*l**2 - 26629*l**2 - 2461 + l + 811 as n*l**2 + q*l + x and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4440\/(-780))\/(665\/(-1235)).\nAnswer: 74\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-11))\/a*a**16*(a**(2\/13)*a)**(-33) assuming a is positive.\nAnswer: a**(-417\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1*36))\/((284\/(-639))\/(9\/(-162))).\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -118, -374, -800, -1396?\n\"Answer: -85*u**2 - u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -60, -1\/1250, 0.01, -1\/3?\nAnswer: -1\/1250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 + 126 + (3 - -12 - -4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -213, -856, -2143, -4290, -7513, -12028?\nAnswer: -18051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.106 - -254785.\nAnswer: 254784.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 3.4604, 4\/39?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43024, 86058, 129090, 172120, 215148, 258174, 301198?\nAnswer: 344220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 74+-0.03\nAnswer: 73.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1540 and 2970?\nAnswer: 41580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 19. Let x(v) = 1. Let b(o) = n(o) - x(o). Let k be b(9). Let w = -4 - k. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 49, -21\/8, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7561110.06 rounded to the nearest one hundred thousand?\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1028)\/(-28) - 4\/(-14). Let z = t + -16. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -24*j**3 + 3*j**2 + 8*j - 2. Let m(g) = 5*g**3 + 46*g**2 + 8*g - 11. Let n be m(-9). What are the prime factors of s(n)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 476 - 244. Suppose -2*a + 5*t + r = a, 4*t - 399 = -5*a. List the prime factors of a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 10:26 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 5:38 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4837, -19035, -42689, -75793, -118341, -170327, -231745, -302589?\nAnswer: -382853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 10*l**2 - 6*l + 967. Determine a(-15).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2. Let z(t) = -5*t**2 + 9*t**2 - 19*t**2. Determine j(z(q)).\nAnswer: -450*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*83 + 0\/6. Let c(z) = -14*z + 1. Let v be c(-4). Let n = g - v. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4119863, 8239825, 12359789, 16479755?\nAnswer: 20599723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -58. Let j be 2*(-5)\/((-5)\/f). Let a be (1\/j)\/(2 + (-39)\/20). Solve 4*l - 5*h = -7, -a*h + 25 = l + 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*y**2 - 54*y**2 - 52*y**2 + 296*y**2 - 43*y**2.\nAnswer: 329*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u + 3. Let s(a) = 53*a**2 + 17*a + 6. Let k(x) = 163*x**2 + 48*x + 17. Let g(l) = 6*k(l) - 17*s(l). What is v(g(j))?\nAnswer: -693*j**2 + 9*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 111?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -12*q**2 - 20*q - 20. Let l(w) = -4*w**2 - 7*w - 7. Determine 17*l(g) - 6*z(g).\nAnswer: 4*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 11, w: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4655781534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 13*p = -5*j + 2106 - 1950, -128 = -3*p - j for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxx when three letters picked without replacement from {v: 6, x: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {w: 7, q: 5, u: 3, v: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**3 - 10*x**3 + 5*x**3 + 7*x**3 + 3*x**3 - 8*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(11) - (sqrt(121)*-1 - sqrt(121))\/sqrt(11))**2).\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/((-7)\/(-8)*(-62)\/(29450\/(-95))).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 6:14 PM?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -70*w**2 - w - 1. Calculate z(-1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 10*q - 135. Let a = q + 150. Which is greater: 14 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Let b(f) = f**2 - 3*f**i + 0*f**2. Let p(o) = -4*o + 3. Let j(a) = -a + 1. Let u(k) = 6*j(k) - 2*p(k). What is b(u(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 1, f: 2, h: 2, o: 1, k: 1}. Give prob of picking 1 k, 1 o, and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t**2 - 25 - 3*t + t**2 + 18. Let b be l(-6). What is b rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 619518, 1239018, 1858518, 2478018, 3097518, 3717018?\n\"Answer: 619500*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 a when three letters picked without replacement from qaaqqqqqaa?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + 2*a**3 - a**3 + a**3 + 0*a**3 + a**3 + (a**2 + a - a)*(-a + 2*a + a) + 34*a**3 + 3*a**3 + a**3 + 4*a**2.\nAnswer: 41*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 30 - 39. Solve -v = n - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -286500 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 108*i + 826. Let q be v(61). Sort 3, 4, q, -3, -5 in increasing order.\nAnswer: q, -5, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 1, h: 8, b: 1, r: 2}. Give prob of sequence rr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**9)**(-26\/5))**6)**(-1\/2))**(4\/11) assuming x is positive.\nAnswer: x**(2808\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + (-6 - -15 - 10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/(-3))\/2 + -1. Suppose w*r - 39 = -18. Suppose 4*l + 44 = 2*y, -3*l - 96 = -5*y + r. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27425263 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5*u - u)*(u**2 - 5*u**2 + 2*u**2) + 44*u**3 - 20*u**3 - 13*u**3.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -13*t + 37. Let j(z) = 9*z - 25. Let f(r) = -5*h(r) - 7*j(r). Let x be f(6). Solve 4*m = 3*l + 11, x*l + 8 = -0*m + 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 23 + 103. What are the prime factors of (-7)\/i + (-1162)\/(-12)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/49))**(-35)*((q*q**(2\/11)\/q)\/q)**40 assuming q is positive.\nAnswer: q**(-2630\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 - 15197*p - 102 + 7600*p + 7554*p.\nAnswer: -43*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Let d(h) = -9*h + 2332 + 28*h - 2332. Determine y(d(g)).\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 422, 1298, 2742, 4754, 7334?\n\"Answer: 284*r**2 + 24*r + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + 0*g**3 - 2*g**2 + g**2 - g**2 to the form i*g**3 + t + r*g + v*g**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 12 = 10*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55.4 - 130.4. Do s and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 15 - 27. Let j = 19 - -16. Calculate the highest common divisor of g and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 27*u = 78 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 342834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5 = 2*t, 0*t - 4*t - 8 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 148 + 13 = 0. What is the common denominator of (-12)\/36*d\/2 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + -40 + (0 - -10 - (169 - 161))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(1\/2)\/g)**(-14)\/(g*g**6*g**(-1\/7)))**34)**(12\/5) assuming g is positive.\nAnswer: g**(-39576\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4291*f + 197*f - 4432*f.\nAnswer: 56*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194 or -0.2?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 6, 0.3, -2\/175, 2\/9 in descending order.\nAnswer: 6, 0.3, 2\/7, 2\/9, -2\/175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/11981 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-602747)\/(-13730) + (-2)\/(-20).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5765 - 4*l - 5772 + 17282 + 17*l**3 - 5762.\nAnswer: 17*l**3 - 4*l - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 166*t - 2179. Calculate g(-13).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -214 + -3443?\nAnswer: -3657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -2 + 3 + 0. Let r(d) = d. Let v be r(a). Suppose v - 249 = -4*u + 5*g, -u + 4*g + 61 = 0. What is u rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by (3\/((-18)\/(-188)))\/(18\/27).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195920 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2*(0 - 0)*(-36)\/72. Solve 7*j + s - 14 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 3 = -9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, m: 3}. What is prob of sequence yyy?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuqvfuw. Give prob of picking 1 i, 1 q, and 1 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272.4786 decades to years.\nAnswer: 2724.786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7*c = -3*c + 5072, 0 = 2*w + c - 2021. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t - 4*t**4 + 10 + 11*t + 2*t**4 + t**4 - 2*t**2 in the form l*t**3 + v*t + k*t**4 + p*t**2 + s and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*h + 45*h - 67*h)*(-4*h**2 - 5*h**2 - 4*h**2).\nAnswer: 676*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -25255232 (base 6) in base 8?\nAnswer: -3072344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 bigger than 983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53031 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 32*z**2 + 6*z + 1. Let k(d) = -d**2 - 4*d + 1. Give g(v) + 2*k(v).\nAnswer: 30*v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3261*n*z**6 + 4*n*z**4 - 13492*n*z**2 - 4*z**2 wrt z?\nAnswer: -391320*n*z**3 + 96*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(7192\/5394)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -412471 + 1006590. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 6266?\nAnswer: -6300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 6853040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1201118, 1201091, 1201048, 1200989, 1200914, 1200823?\nAnswer: 1200716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.48 - -0.81. Let t = 0.19 + m. What is t rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.4*-12.33994\nAnswer: -29.615856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9076 divided by -86\nAnswer: 4538\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -41. Suppose 570 = -13*r - 44*r. Which is the nearest to 1\/2? (a) m (b) r (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 3*h**2 + 5*h - 10. Let g be k(3). Let v be g\/(2 - (-2)\/(-6)). Suppose -474 = -v*z + 2*n + n, -5*z = -n - 782. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36561994 - 26047312. Let f = 62609247.999954 + r. Let m = f - -58. Round m to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33062 + 271?\nAnswer: -32571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1263*v + 12167 + 13818 = -38192 + 7342 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -89266783?\nAnswer: 89266783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6966372852 take away 4218?\nAnswer: 6966368634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12862164 a multiple of 798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3708 and 17613.\nAnswer: 70452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 592302 or 592304?\nAnswer: 592302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q - 12*q = 163*q + 3893 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13393504 is divided by 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-3)*(-6)\/(-8). What is the greatest common divisor of 3 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.3\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1225)\/(-6) - (-7)\/(-42). Suppose -84 = 6*j + n. Let v be (-4)\/j*-3*-4. Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2846 - -2846.1. Suppose -2*c - 6 = -4*c. Sort -0.049, c, v in decreasing order.\nAnswer: c, v, -0.049","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/72)\/((-7)\/8). Suppose 5*r - 79 - 166 = 0. Put -3, r, g in decreasing order.\nAnswer: r, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-44) - 100\/88. Which is the closest to -0.1? (a) 1\/3 (b) g (c) 0.04 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7231\/55782)\/(2\/36))\/(2\/(-54))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**5\/20 + 14*c**2. Let l(r) = 4*r. What is p(l(s))?\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262*k**4 - 281*k wrt k?\nAnswer: 3144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845 is divided by 54?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t - 4. Suppose 3*k - 2*k + 4*z = 23, k = 2*z - 7. Give h(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15700901*r*s**4 + 18*r*s - 115946*r + 8*s**4 + 17*s wrt s?\nAnswer: 188410812*r*s**2 + 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-1)\/10)\/(17\/(-34)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31875?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -579 (base 14) in base 16?\nAnswer: -43f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23532015 (base 6) in base 3?\nAnswer: 1101202021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k - 2*k**2 + 3*k**2 - 1 + 4*k. Let d = -475 + 504. Let m(l) = 2 - 51*l + 6*l**2 - 3 + d*l + 23*l. What is -g(c) + m(c)?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q**2 + q**2 - 4*q**2)*(-5 - 2*q + 5) + 3*q**3 + 2*q**3 - 7*q**3)*(7*q + 2*q - 4*q).\nAnswer: 30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/146344 and 19\/20.\nAnswer: 731720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.1 (b) -15 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08827 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 168653324?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -2) + 124\/177. Let x = 778 + -45900\/59. Let n = y - x. Which is the closest to -1? (a) n (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(204)*1 + sqrt(204) + sqrt(204) + (sqrt(204) - (1*sqrt(204)*2 - sqrt(204))))\/(6*-2*1*sqrt(12)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 7.5. Which is the third smallest value? (a) -3\/4 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3033402 (base 5) to base 3\nAnswer: 2111112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2258, 4, 3, -4, -3, 1.\nAnswer: -2258, -4, -3, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4041, 16170, 36367, 64632?\n\"Answer: 4034*x**2 + 27*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -231235230 - -24?\nAnswer: -231235202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-352)\/220)\/(675\/27 + -24 - 6\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, y: 1, e: 1, q: 1, x: 2, c: 1}. Give prob of sequence cqxy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 5, -4, 4, -3, 225\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a day in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15056431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 874491.3 milliseconds to seconds.\nAnswer: 874.4913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45404116 rounded to the nearest ten thousand?\nAnswer: -45400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 - 86. Suppose 0 = x + 3*y - b, -2*x - 2*y + 14 = 2*y. Suppose 0 = 3*d + 2*d - 3*i, x*d = -5*i. Solve d = -4*r - r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 96993 + 1370*h**2 - 96993 + (0*h**2 - h**2 + 0*h**2)*(-1 + 4 - 4) in the form n + y*h**2 + j*h and give y.\nAnswer: 1371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 392\/(-224) + 6\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - m - 14 = 0, 4*v - 26 = -0*v - 2*m. Let l(r) = r**3 + 6*r**2 + 11*r + 16. Calculate the smallest common multiple of l(-4) and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, l: 5}. What is prob of picking 4 g?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83877.97 litres to millilitres.\nAnswer: 83877970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.567 - -2.067. Which is the nearest to 0? (a) k (b) 2 (c) 0.1 (d) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13210848)\/(-432)*9\/6.\nAnswer: 7, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -270382, -270395, -270408, -270421?\n\"Answer: -13*l - 270369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*c = 22807, 5*c = -l - 2*l - 68431. Let y be l\/(-24) + 1\/2. Suppose -2*b - 470 = 5*s - 1423, -5*s - 4*b + y = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 4. Find the first derivative of s*c + 2*c - 3*c + 0*c - 2 wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -217\/2 + 1091\/10. Let l(j) be the second derivative of j**3\/6 + j**2\/2 - j. Let q be l(1). Is b at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 80750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 81256 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36535 (base 7) in base 16?\nAnswer: -253c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.949523584 and 1327.\nAnswer: 1325.050476416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132241\/70 + -13234\/7. Calculate the common denominator of t and -5\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002012111022 - 20?\nAnswer: -1002012111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*w + 69 + 6. Let n(f) = -f + 1. Let a(h) = 8*h - 4. Let v(y) = a(y) - 5*n(y). Let s(g) = -6*g + 4. Let m(q) = w*v(q) - 7*s(q). What is m(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 4 + 22 = 0. Suppose -w*d - 2*a - 2*a = -81, 0 = -5*a + 15. Let i = 29 - d. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 194948319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002416439634 to 5 decimal places.\nAnswer: -0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(95)*2 - sqrt(95)))\/(sqrt(405) + -2*sqrt(405)).\nAnswer: 5*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + t**2 + t. Let z(r) = r + 5. Let b be z(-5). Calculate k(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, -2\/7, 0.056?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.36?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 41 + 49 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -266 + 263. Let p = 46 - 49. What is the closest to i in -3\/2, p, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -222, -217, -202, -171, -118, -37, 78, 233?\n\"Answer: b**3 - b**2 + b - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1 (c) 33081 (d) 0.062\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let w be (-10)\/4*(-2 - o). Suppose -5 = -5*x, 4*x + 0*x = -w*g + 34. What is the lowest common multiple of g and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/4 and -17\/532.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(-8*r + r + 0*r)*(4 - 4 - 2).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.382713 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175 and 75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -301959, -603914, -905867, -1207818, -1509767, -1811714?\n\"Answer: v**2 - 301958*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (126\/8)\/(3\/24). Let y(o) = -39*o + 291. Let a be y(7). Calculate the greatest common factor of a and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-c - 2 + 2)*(1 + 1 - 1) + 8*c + 7*c - c)*(-23*c**3 + c**3 - 22*c**3) to the form k + h*c**4 + t*c**2 + m*c + f*c**3 and give h.\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -453, 3, -2, 4, -4, 15 in decreasing order.\nAnswer: 18, 15, 4, 3, -2, -4, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*c, 4*c = -7*a + 5*a - 4. Find k such that -3\/5*k**4 - 3\/5*k + 0 - 9\/5*k**a - 9\/5*k**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337533*0.143\nAnswer: 48267.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 5. Let c = b - -2. Let z = -12 - c. Which is greater: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 9*j + 156. Let v = -26 - j. Let i = v + -3. Is i bigger than 3\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186*g**2 + 18 + 18 + 24 - 57 to the form l + f*g + a*g**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 128c - -3?\nAnswer: 128f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 395 = -b + 38, 4*b - 1765 = w. List the prime factors of b.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {i: 1, y: 1, r: 1, n: 2, w: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*d*r + 2*c**3*r**3 + 39*c**3 + 1639965*c**2*d*r**3 - 2672*c**2*d*r**2 + 6*c*d*r wrt r?\nAnswer: 12*c**3 + 9839790*c**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 5*c**2 + 4*c - 3. Let d be h(4). Let l(w) = w + 1. Let g be l(d). Is g at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 3857238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1352 is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4474, -4478, -4482?\n\"Answer: -4*n - 4470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4468 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {o: 2, e: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3066 - -4423. Calculate the remainder when h is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013642828 rounded to 5 decimal places?\nAnswer: 0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -12. Let -2*h + h**2 - 17 + 17 + 3*h**2 - 4*h**4 + 2*h**n = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**3\/3 + a - 8. Let c be x(1). Calculate the greatest common divisor of c and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 1, s: 5, m: 2, p: 4, l: 2}. Give prob of picking 1 p and 1 m.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i*o**4 - 15*i*o + 9*i + 4*o**4 - 85*o**3 - 15*o**2 - o wrt o.\nAnswer: -24*i*o + 96*o - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksh when three letters picked without replacement from {x: 1, s: 1, h: 4, z: 1, k: 1, w: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55043561?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u*u**8*u*u)\/u)\/u*u**(-2\/5)*u)\/((u*u**(2\/9))\/u**(-1\/2)))**(-19) assuming u is positive.\nAnswer: u**(-15181\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:33 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*(154\/3633)\/11*(-9)\/(-3)?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107426?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.327824 from 33147.\nAnswer: 33146.672176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (370*i - 2447 + 2447 + 102*i)*(-8*i**2 + 8 - 8).\nAnswer: -3776*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*f - 6372, 0*f = -3*f - w - 3823. Let n = f - -12711. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + 2629\/(-220) + (-1)\/(-5) and 79\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*f - 4\/5*f**3 - 224\/5 - 72\/5*f**2.\nAnswer: -4*(f + 2)**2*(f + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 + 2506570*p\/3 + 1570723291225\/3.\nAnswer: (p + 1253285)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d, -2*f - 5*d - 11590 = -4*f. Suppose 2*y + 2 = 0, -2*x - f - 14210 = 5*y. Round x to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-1 - 2 - 3) + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17 and 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 p when four letters picked without replacement from {w: 2, p: 6}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**1*m*m)\/m)\/m)**(1\/6)*(m*m**(-5)*m)\/m**(-3\/4) assuming m is positive.\nAnswer: m**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 334, -1\/3, 12.9, 11?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 1510720*r**2 + 151109500*r + 3778050000.\nAnswer: -5*(r - 302244)*(r + 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1\/8, 2, -0.2, -46\/833 in increasing order.\nAnswer: -8, -0.2, -46\/833, 1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -38)\/10 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 z, and 2 u when four letters picked without replacement from uouzzmuuouuuzmm?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 5:49 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8458 = 320. Suppose -4*s + 0*s = -5*x - p, 0 = s - 5*x - 1101. List the prime factors of s.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377525.\nAnswer: 3, 5, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28250.36 kilograms to nanograms.\nAnswer: 28250360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.1 and -73.\nAnswer: -77.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.63? (a) -13 (b) 2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 y, and 1 r when three letters picked without replacement from {o: 4, y: 11, r: 4}.\nAnswer: 176\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142302213 (base 5) to base 8.\nAnswer: -2655172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24261311.79880705 - -3549.20188295. Let n = f - 24264705. Let l = n - 156. What is l rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, o: 2, i: 3}. Give prob of sequence didi.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a90 - 1?\nAnswer: 6a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = h + 6, 4*w = h - 5*h - 4. Suppose 0 = -2*v - v + 3. Is v\/2*(h - -10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 366562 - 52?\nAnswer: 366510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5158*s + 3099.\nAnswer: -5158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 3*l - 2. What is t(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 15*v + 3. Let z be u(4). Calculate the highest common factor of z and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3111*j**3 - 3169*j**3 - 1294*j**2 - 3169*j**3 + 9447*j**3.\nAnswer: -2*j**3 - 1294*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(14105\/(-93))*75\/45.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/13 + 6*s**4\/13 - 74*s**3\/13 - 30*s**2 - 504*s\/13 = 0.\nAnswer: -4, -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 475.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -462528953*m*x - 149058743*x wrt m?\nAnswer: -462528953*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -50 - -88) + -51.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7309+-0.137879001\nAnswer: 7308.862120999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**4\/10 + 68*u**3\/15 + 273. Factor i(h).\nAnswer: 2*h**2*(h + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(119)*-3 - 1*sqrt(119)*-5)\/(-5*sqrt(112) - sqrt(7) - sqrt(63)*1).\nAnswer: 7*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(44) + 2*sqrt(396))*1)\/(5*sqrt(144)).\nAnswer: -2 + 7*sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 + 2*h**3 - 3*h**3 + (2*h**2 + 2*h**2 - 3*h**2)*(5 - 6*h - 5) - 9*h + 9*h - 6*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 2\/3, 0.1, -1\/9, -4, 7, 0.13?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**2\/2 - 3*l - 2. Let j be c(11). Suppose 5*w - j + 3 = 0. Put 3, w, -1 in decreasing order.\nAnswer: 3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose -26 = -4*p + 5*n, -5*n + 3*n - 20 = -f*p. Let b be (6\/p)\/(12\/128). Solve 0*h - b = 2*c + 2*h, -5*c = -3*h + 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 3*c + 1. Let r be a(-2). Suppose 5*o - 4*b = 51, -3*o - o = -r*b - 41. Solve 0 = 4*h - 3*u + 14, -h + 2*u - o = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**4 + 980*s**3 - 1117520*s**2 + 4457260*s - 3340722 = 0.\nAnswer: -1033, 1, 3, 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 5*o = 19*v + 31, -4 = -2*v + 2*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -968327, -968332, -968339, -968348, -968359, -968372, -968387?\n\"Answer: -t**2 - 2*t - 968324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -91?\nAnswer: 64\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 1685748*u + 236812193292.\nAnswer: 3*(u + 280958)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -11. Suppose r*x - 5*w = 2, -w + 6 = -5*x - 2*w. Let h(b) = 5*b**2 - b. Calculate h(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2787, 14162, 34129, 62688, 99839?\nAnswer: 145582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 0.8, -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 14 = -4*r, 3*r - 15*y = -13*y - 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 39819.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*(-140)\/(-210)*72.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 - 5*k**3 - k**3 - 1 - 17*k + 17*k + 2*k**3 + k - k + 2*k**3 + (3 - 3 - 2*k)*(-2*k**2 + 0*k**2 + 0*k**2) - k**3 + 2*k**3 - 3*k**3 + 1 - 1 + k**3.\nAnswer: 5*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 11*q - 25 = 0. Suppose 0 = 4*m - d - 24, 41 = q*m - 7*d + 3*d. Solve -k - 15 - 15 = m*x, -k = 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 691.4 - 691.399994107. Round b to seven dps.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - u + u + 3*u - u + 0*u + (-u + u - 2*u)*(0 + 0 + 2) - 2*u + 3*u + 0*u)*(-9*u**2 + 5*u**2 + 3*u**2 + 6*u) as y*u**3 + p + n*u + x*u**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.7 - -21. Let u = 3 + -1. Which is the third smallest value? (a) f (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37141, -2, -5 in increasing order.\nAnswer: -5, -2, 37141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 9:29 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 51\/(-45) - -2 - (-10)\/75. Suppose -52 = 11*n + 2*n. Sort j, 8, n.\nAnswer: n, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9eb07c (base 15) in base 2?\nAnswer: -11100111010101011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002202200 (base 4) to base 7.\nAnswer: -2213406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/n**(-3\/4))\/n)**(-37))**(-8\/15))**(-3\/13))**3 assuming n is positive.\nAnswer: n**(-666\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = 22*p + 233. Let o(a) = -a**3 - 7*a**2 - 7*a - 6. Let c be o(-6). Let m = -3 + c. Put p, -4, m, 4 in ascending order.\nAnswer: -4, m, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o + 3. Let n be b(2). Are -5 and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -108933.4\nAnswer: -544667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 7*i - 9. Let h be j(4). Factor -285 - 89 + 36*y + 30*y - h*y**2 + 11.\nAnswer: -3*(y - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(2\/6)\/(1\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33175, -33191, -33217, -33253, -33299?\n\"Answer: -5*g**2 - g - 33169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1 + 10*q - 12*q - q**2 + 2. Let m be x(3). Is m\/(-2) + 42\/14 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**5\/20 + 2*i**4\/3 + i**3\/6 + 2*i**2 + 45*i. Calculate q(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*t + 1821, 3*t - 1233 = 13*i - 15*i. What is the highest common factor of i and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 67352.83mm?\nAnswer: 67352830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 17, -9, -97, -277?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, 18.787, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.105836 rounded to 3 decimal places?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1a7370 (base 12) to base 16\nAnswer: -72744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 60.583 and -15?\nAnswer: 75.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2628159511 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 658825\/58 or 11359?\nAnswer: 658825\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 117\/195 - 3\/5. Suppose o*l - 27570 = -6*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 - 23222248*z\/3 - 67409100271688\/3.\nAnswer: -2*(z + 5805562)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v**2 - v - 1. Let i(s) = -5*s**2 + 2*s + 1. Let r(u) = 2*i(u) + 3*j(u). What is the smallest common multiple of r(-1) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 2*i + 93, 413*o + 3*i - 135 = 410*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - q = 2267, -4*s + 3008 = -4*q - q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 135736, 271470, 407204, 542938, 678672?\n\"Answer: 135734*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32875 + -32873. Solve 2*w - 2*s - 7 = -11, -m*w + 3*s - 6 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 >= 1098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -1 + 1 - 3, 0 = 3*q + 3*d - 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - m + 2. Suppose -21 = -4*r + r. Let u be g(r). Does 7 divide (3\/(-9))\/((-1)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/(2\/((-4)\/3)). Suppose 2*r = r + o. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -8*k**6\/3 + k**2\/2 - 2. Find the second derivative of d(y) wrt y.\nAnswer: -320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.467 times -0.2799?\nAnswer: -9.9272133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1.24.\nAnswer: 0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -0.2, -5, -1\/4 in decreasing order.\nAnswer: 27, -0.2, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*g**3 - 3*g + 3*g + 33*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -89, -156, -241, -344?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63851*x**2 + 5*x - 521312 wrt x.\nAnswer: -127702*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -5*y**8\/28 - y**6\/10 + 89*y**4\/12 - 104*y. Find the third derivative of l(m) wrt m.\nAnswer: -1200*m**3 - 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 335*n - 166*n - 175*n.\nAnswer: -6*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 1 + 4 + 1 + 4. Let l be n(11). Does 19 divide 59 - (0 - 6\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + 22. Let m(l) = l**2 + 3*l + 1. Let w be m(-5). What is the highest common factor of w and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381466822 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -207 and 0.4122.\nAnswer: -206.5878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + 13 - -4) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2848, -2895, -3086, -3493, -4188, -5243, -6730?\n\"Answer: -12*a**3 + 37*a - 2873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-14) - (1 + -2). Suppose 0 = 4*m - 2*h + 4, -6*m - 4 = -2*m - 3*h. Is x at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*t + 41*t - 35*t + 44*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 2030*s - 2038*s. Calculate the lowest common multiple of s and 62.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**4 + 19*g**3 - 47*g**2 + 27*g. Let d(o) = -22*o**3 + 48*o**2 - 26*o. Let f(a) = -2*b(a) - 3*d(a). Factor f(i).\nAnswer: -2*i*(i - 12)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.5, -8\/9, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*n**2 - 17*n**3 - 344*n**2 + 688*n**2.\nAnswer: -17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462*v + 463*v - 933*v = -85088. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1) - (10 - 10). Sort 5, 32, f, -2, 0.\nAnswer: -2, 0, f, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 2 + -6 - 1) + 70 + -110.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5847\/106 or 56?\nAnswer: 5847\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4974*a**2*n*y - 30*a**2*n + a**2*y - 25*a*y + 2*y + 459 wrt n.\nAnswer: -4974*a**2*y - 30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*k**2 + 692*a**3 - 113056283*a**2*k**3 - 6*a**2*k - 5438*k wrt k.\nAnswer: -4*a**3 - 678337698*a**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2618*k**4 - 2*k**3 + 2635*k**2.\nAnswer: -62832*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(sqrt(275))**2*-5 + (-4 + sqrt(275) + -1 + sqrt(275) + sqrt(275) + 1)**2 + 5.\nAnswer: -11254 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = y - 11, -4*y - w - 8 = -0. Let o be (y + -2)\/((-6)\/8). Let n(l) = -2*l**3 + 4. Let a(f) = -2 + 1 + 2 - 2*f**3 + 2. What is o*a(i) - 3*n(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n = -3*n + 135 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -207601*h + 3529226. Calculate s(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-768)\/(-6) + 0)\/2. Suppose -35*u + w*u = 0. Solve u = 8*i + 10 + 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*o = 55*o - 54. Solve -o + 4 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15743 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(7) + 1 - (1 + sqrt(7) - sqrt(7))*-6)*-2*6)**2.\nAnswer: 2016*sqrt(7) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38828224879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2787294*z - 3252493 wrt z?\nAnswer: 2787294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1))\/(i**(-3\/8)*i))\/((i*i**(-5)\/i)\/i**(-1)) assuming i is positive.\nAnswer: i**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1090514 * 0.1.\nAnswer: -109051.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 273*j - 671. What is d(3)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 5*sqrt(76))*-5 + (sqrt(76) + 0)*5.\nAnswer: -50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 27 = -5*q, -887*u + 31*q = -890*u - 152 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 176 = -4*g - 0*c, -190 = -4*g - 5*c. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50575 at most -0.2458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5403 - 5399. Suppose 2*g + 6 = 5*g. What is the closest to g in -2\/7, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*s = 3*s - 2, 3*h - 4*s + 2 = 0. Factor 2\/3*w**5 + 40*w**3 - 26\/3*w**4 + 0 + 128\/3*w - 224\/3*w**h.\nAnswer: 2*w*(w - 4)**3*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4\/8 - 759*i**3\/8 - 2259*i**2\/8 - 2253*i\/8 - 375\/4 = 0. What is i?\nAnswer: -250, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5008)\/1162*1 + 4. Let r = x - -2\/83. Suppose 2*y - s + 5 = 0, 3*y - 7*y = -5*s + 1. Which is the closest to 0? (a) y (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - -1 - 11 - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/300521 and 75\/104.\nAnswer: 2404168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -68 (b) -1\/190 (c) -0.037 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46\/15*u**2 + 352\/15*u + 2\/15*u**3 + 896\/15.\nAnswer: 2*(u + 7)*(u + 8)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*g + 27 + 38, 5*g + 110 = 5*w. Let u = -27496 - -27502. Solve -q + u*q = w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4401 - -4921. What is the remainder when y is divided by 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -0.2, -2, 5, 2063, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/6*10*2\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 9. Suppose 3*o + a + 3 = 0. Let s be (o - 0) + (8 - 4). Solve 5*c + s*m = 4*m + 25, -2*m = 2*c + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 2*d**2 + 3*d + 2. Let l(x) = x**2 + x + 1. Suppose -8 = -2*y, -3*y = -3*g - 12 - 3. What is g*b(h) + 2*l(h)?\nAnswer: -h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {n: 6, d: 3, t: 6}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (230 - 10*g - 230)*(-2*g - 2*g + 2*g) + (0*g - g + 4*g)*(g + 13*g - g) as k*g**2 + y*g + q and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55 take away 6.61?\nAnswer: -7.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.75 + 8. Let g = v + -0.75. Which is the smallest value? (a) g (b) 1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 58 = 100. Let x = -393\/5 + z. Let y = -0.4 - 1.6. Which is the closest to y? (a) -2\/7 (b) -1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 6) to base 7.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 133.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (-4532)\/1155*(-3920)\/480?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**6\/24 + c**4\/3 + 7*c**3\/6 - 3*c**2 - 16. Let b be s(-1). Solve i = b*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 7:51 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.185 - 3.18921. What is o rounded to four decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -18 + ((-36)\/6)\/(4\/2). Let g be 112\/s*9\/6. List the prime factors of 0 - (g + 4 + -35).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -60\/761, -2, 6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 383 and 5?\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*(-18)\/((-2)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91.6 - -92. What is the nearest to 1 in 0.5, u, 0.03?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682 = -42*k - 20*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1164, 1931, 2056, 1539, 380, -1421?\nAnswer: -3864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 826*y - 4976. Let v = 0 - 0. Suppose l - 5 - 58 = v. What is the remainder when l is divided by g(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*p + 31, 0 = -3*f - 3*p + 6 - 3. Suppose 0 = -4*o - r + 19 + 430, 559 = f*o - r. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 8*n - 46. Let s be u(4). Suppose s*f + 14*q - 106 = 17*q, 4*f = -4*q + 192. Calculate the greatest common factor of f and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -170*j**3 - 182*j**2 - 22*j - 5. Calculate n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2556 by -5.\nAnswer: -2556\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - o + 1034, 2*j - 108 = -5*o + 926. Suppose -j*c = -514*c - 36. Solve c = -6*r - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1 = 3*s - 47, 0 = -a + 3. Find the second derivative of -11*l**3 + s*l**3 - 9*l**4 + 6*l wrt l.\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39321 and 2958?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -62, -95, -130, -167?\n\"Answer: -k**2 - 28*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2. Let a be i(-1). Let r(t) = -1 - 8*t**2 - 4*t**a + 12 + t**3 + 4*t**3. Is r(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32\/23 + 252\/115. Let i = -156 - -161. What is the third biggest value in i, y, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48185717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + o)*((4 - 4 + o)*(5*o - 3*o + 0*o) - 2 - o**2 + 2 - 4*o**2 - 8*o**2 - 19*o**2).\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -0.9. Which is the third smallest value? (a) -4 (b) s (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 89*o**2 - 86*o - 2217. What is the units digit of g(-29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -12 - -4 - (9 - (41 - (4 + -7)))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11876 - -0.08124. What is the second smallest value in v, -2, 1141, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7943 + 13767. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 - 21. Let b = i - 14. Suppose 2*t + 3*c - 28 = 0, -b = -t + 3*c - 8. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 44\/5 of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/3444 and 2 - (-52)\/(-4) - 139138\/(-12628)?\nAnswer: 37884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/17 + 3284634*z**3\/17 - 3284630*z**2\/17 - 3284634*z\/17 + 3284632\/17 = 0 for z.\nAnswer: -1, 1, 1642316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -198. Let a be 880\/((3\/y)\/(-3 - -7)). Round a to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 4*c - p, -p = 2*c + 3*c - 98. Let r = 21 - c. Sort 0, r, -2 in descending order.\nAnswer: r, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -204*g - 587. Let f be u(-3). Solve -32*w = -27*w + f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 4:32 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*m + 30 = 0, x + 68 = -4*m + 81 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*f - 2*g, -55*g + 27 = f - 57*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*c - 11. Let k be 3\/(-2)*(-4)\/(-6). Let i(p) = 2*p + 2. Let u(n) = -n. What is c*i(o) + k*u(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14315 rounded to three dps?\nAnswer: -0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 + -0.21. Which is the smallest value? (a) -6 (b) 0.5 (c) m (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*2)\/(sqrt(150) + (sqrt(150)*-3 - sqrt(150) - sqrt(150)) + sqrt(150) + sqrt(150) - sqrt(6))*-5)**2.\nAnswer: 4500\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 39\nAnswer: -14\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1504 + 1547. Let r = -103 - -145. Suppose 16 = o*y - r*y. What is the remainder when 60 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 = 11*h - 5*h. Suppose 3*l = 78 - h. Solve -2*n + 5*y = -11, -n + 3*y + 0*y + l = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -20.6. Which is the third biggest value? (a) -0.4 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y - 13. Suppose 51 - 10 = 5*v - 4*z, 5*z = -3*v + 32. Let n be r(v). Let o = -34 + n. Solve 5*c = c - o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = 5*y - 11*a - 29, -5*a = -5*y + 35. Solve 4 = -0*o - y*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -36 - (-226 + 182)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6652168*m*x - 643061709*m - 6*x wrt x?\nAnswer: 6652168*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from wwwwyittlitwuwwtwiui.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35520, 71038, 106556, 142074, 177592, 213110?\nAnswer: 248628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -3*8\/12. Suppose j*y - 192 = -4*y. Let t be (4\/3)\/(22\/528). What is the greatest common divisor of t and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/4))**(2\/5))**10\/(r*r*r**5*r*r**(-5)*(r**1*r*r)**0) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-2\/9)*q*q**(-1\/3)*q**(1\/6) assuming q is positive.\nAnswer: q**(11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25730341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 - 27*8\/(-24). Sort 0, -106, x.\nAnswer: -106, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o - 3. Let l be n(-2). Suppose h = j - l, 3*j + 11 = 2*j - 5*h. Let t = j - -3. Calculate the highest common divisor of 21 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 2. Let k = -0.5039 - -0.0039. What is the biggest value in 0.2, u, k, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -175397?\nAnswer: -175397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 1.8 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -9 - ((-13362)\/(-1020) + -1*5).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65367073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8510895.\nAnswer: 3, 5, 31, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 326b + b8c?\nAnswer: 4019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1818, -1834, -1848, -1860, -1870, -1878, -1884?\nAnswer: -1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 160 (b) -7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-3))**(-50)\/(v*v**(-3\/7))**(29\/2) assuming v is positive.\nAnswer: v**(-1458\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2566, -29795, -57020, -84241, -111458, -138671, -165880?\n\"Answer: 2*m**2 - 27235*m + 24667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100022 (base 3) to base 9.\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/27 in 4, 2, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 63, 149, 323, 615, 1055, 1673?\n\"Answer: 5*v**3 - v**2 - 4*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 467\/6. Let o = m + 1\/42. Let i be (-3)\/15 + (-2)\/(-10). Which is the second biggest value? (a) o (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 69*u**5\/2 - 505*u**2\/2 + 33*u. Differentiate w(p) wrt p.\nAnswer: 2070*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(33)\/(sqrt(11) - 4*sqrt(11) - sqrt(11))) - -3*(sqrt(13) + (sqrt(156)\/(3*sqrt(12)))**2).\nAnswer: -sqrt(13) + 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from dwaawdwwdwaddadd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 26. Suppose -3*i + 5 - q = 0. Let a be (66\/(-12) - i)\/(2\/(-8)). Solve 0*u = u + a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 93. Suppose 4*b + 5*g + o = 0, -2*g = 2*b - 4*g - 8. Solve -2*r + r + 3 = b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1573)*2*3 - (5 + sqrt(1573) + 0)) + ((sqrt(1573) - (0 + sqrt(1573)))*4 + sqrt(1573) - sqrt(1573) - -2*sqrt(1573)*6))**2.\nAnswer: -1870*sqrt(13) + 454619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 3:06 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)*k**(-5)\/k*((k*k**1\/k)\/k)\/(k**(-3\/10)*k) assuming k is positive.\nAnswer: k**(-107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - -2)\/((-1)\/20)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611792357?\nAnswer: 11, 281, 197927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*n**4 - 16*n**3 - 384864*n**2 + 574277095*n?\nAnswer: -72*n**2 - 96*n - 769728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33986.6121 rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (409\/(-7))\/(127\/(-11557)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-6))\/(16\/6). Let i = 4 + -4.1. Which is the nearest to h? (a) i (b) -1\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 26. Let a be 5\/(j\/4) - -5. Let x = a + 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 4*i - 6. Let j be a(-2). Let r be (-5)\/9*j + 12\/(-9). What is z in 0*z - 8\/7 + 6\/7*z**r + 2\/7*z**3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 4:06 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 384?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 3\/5 (c) -152 (d) 3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -134*r + 137*r - 35, l - 5*r + 49 = 0. Suppose 4*j - 5*j + 1 = 0. Let n = j - 0. Calculate the least common multiple of l and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d + 3271 - 3271. Let q(g) = -16*g**2. Determine v(q(c)).\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 5 + 3 + 0 + 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j. Is ((-2 - -3) + j)*409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*u**2 - 3*u**4 + 5 + u to the form v*u**3 + n*u + g*u**2 + j + o*u**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 4*r = 144. Let c = r - 38. Suppose -5*y = -10*y + c. Solve -3*i - y - 7 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*j. Suppose q - 4 + j = 0. What is the least common multiple of 16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 126b82 - 0?\nAnswer: 126b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/28)\/(4\/20704). Let w = q - 1813. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1483.8 in -0.13, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 541599 - 217648. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 0. Let f = h - 3.9999974. Round f to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97683*c - 378 = -97710*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 100\/(-40) - ((-6)\/4)\/(-3). Let r be 1 - x - -4*(-4 + 3). Is r at least as big as -6\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -14*g**3 + 21*g**2 + 44*g + 17. Let w(u) = -5*u**3 + 7*u**2 + 15*u + 6. Let q(z) = -6*v(z) + 17*w(z). What are the prime factors of q(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - 3)\/(-8)*0. Let o = 172 + -174. What is the smallest value in -14, p, o, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 + -2 + -1 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*l**3 + 9 - 9 - 87*l**3 - 408*l**3 + 2*l.\nAnswer: -648*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3732577 or -48?\nAnswer: -3732577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + (sqrt(468) - (1 + sqrt(468))))**2 + sqrt(468) + (sqrt(468) - (5 + sqrt(468)*1)**2) + ((5 + (sqrt(468) + 0 - sqrt(468)))*-1)**2.\nAnswer: -429 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by (2\/2)\/(14\/56).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 226 = 84 - 94 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8236, -8253, -8270, -8287, -8304?\nAnswer: -8321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4779*l**2 - 1683*l**2 - 3050*l**2 - 1093*l**2 + 1653*l**2.\nAnswer: -8952*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, 2, 8, 1\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11834 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 34. Give o(-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -36. Let w = m + -19. Suppose 38 = w*z + 5. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55539901 to the nearest integer?\nAnswer: 7453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6644 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.47 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 69*m**2 + 289*m - 1169. What are the prime factors of h(4)?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -1248312.\nAnswer: 1248315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11335 - 2?\nAnswer: 11333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-9))\/2*-15. Let q(f) = 4*f. Let y be q(n). Let x = y + -7. What is the greatest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkjkkjjkkkjkkkkjk. What is prob of picking 1 k and 2 j?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = z + 3*z + 4, 2*b = 5*z + 6. Which is greater: b or -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -29, -4, -139, -3, 9 in decreasing order.\nAnswer: 9, 4, -3, -4, -29, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 4*o - 2*o**2)*(o + 4*o - 3*o) + (3360*o - 117*o**2 - 3360*o)*(4*o - o + 4*o) + 2*o**3 - o**3 + 4*o**3 + 0*o + o**3 + 0*o.\nAnswer: -817*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*x**4 + 7406*x**3 + 7400*x**3 - 14806*x**3 - 3*x + 13 + 10*x**2 wrt x?\nAnswer: 72*x**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 4. Let d be g(-12). Suppose 0 = -8*u - d + 4. What is the units digit of (-12)\/(-9)*((-117)\/(-2) + u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**4 - 2*x + 6*x**3 - x**2 - 4*x**3 + 2 + 6*x**4 to i*x**4 + m + f*x + u*x**2 + l*x**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/(-22) - (-5)\/(-10). Suppose 2*t = 3*t + 4*x + 12, -4*x - 12 = 0. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 71? (a) -4063 (b) 2\/11 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/210 and -29\/120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/13)*h*h**13\/h assuming h is positive.\nAnswer: h**(167\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207124?\nAnswer: 2, 53, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 o when three letters picked without replacement from uadotogadad.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 10 + 3 + -1 + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1313403 - 1144?\nAnswer: -1320102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -274, 4, -4 in decreasing order.\nAnswer: 4, -4, -6, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n. Let w(d) = 3420*d**2. Calculate w(k(s)).\nAnswer: 13680*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 14008.81003 to 0 dps.\nAnswer: 14009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*(c\/(((((c*(c\/c**8)\/c)\/c)\/c)\/c)\/c))\/c)*c)\/c)**(6\/7)*(c**(-1\/10)\/c)**(1\/30) assuming c is positive.\nAnswer: c**(-19877\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -25*p**4\/8 + p**2. Does 25 divide q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*q = -55193 - 25196, -2*w + 2*q = -40208. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 28*v - 175 = 0. Let l be v\/(-42) - (-2)\/4. Which is the second smallest value? (a) l (b) -4\/3 (c) -12 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yjyyyjjyyjy?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 0 - 40*y**2 + 44*y**2 + 8*y**3 + 2 in the form u*y**2 + a*y + q + j*y**3 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 0\/(-2) - 0\/(-1). Suppose 0 = u - x - 2. Suppose -o + 105 = 5*v + u*o, -3 = v - 4*o. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -151.8006755 + 151.8. Round d to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 2}. What is prob of sequence shs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8414)\/126 + (782\/207)\/(-17).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i + 4*i + 3*w, -4*i - 5*w - 7 = 0. Let v = 0.152 - -1.548. What is the closest to -0.4 in i, v, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 1 + 1)*(-3 + 9 + 0)*(2 + 3 - 4).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 704 = -61*m. Let b = 1 + 76. Calculate the remainder when b is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31161, 58557, 85953?\n\"Answer: 27396*f + 3765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 214 + 6. Let g = 211 - x. Let c(a) = -2*a**2 + a + 4. Let z(u) = u**3 + 4*u**2 - 2*u - 9. Calculate g*c(p) - 4*z(p).\nAnswer: -4*p**3 + 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.6. Let x = j - -1.5. Let t = x + -2. What is the nearest to t in -0.3, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 2 - 89*q + 3*q**2 - 6*q**2 + 98*q. What is the derivative of m(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -11*l**2 + l - 117. Let v(s) = 10*s**2 + s + 116. Let n(i) = 5*u(i) + 6*v(i). What is the derivative of n(g) wrt g?\nAnswer: 10*g + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*j - 70 = 0, -2*a - 6*j = -4*j - 36. Suppose -8*z + 10*z = a. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 86725, 175482, 264239?\n\"Answer: 88757*u - 2032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 303*j + 306.\nAnswer: -3*(j - 102)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776 (base 12) in base 7?\nAnswer: 11145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -28349\/4, -6\/55, -4\/7?\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q - 4. Let p(u) = -7*u - 3. Let x = 13 + 3. Let h be (4 + (-56)\/x)*(-4)\/1. Let v be -10 - (0 + h)\/(3\/6). Determine v*z(g) + 7*p(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 3683924.\nAnswer: -5\/3683924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m + 199. Calculate the remainder when -2 + 0 - (-1 - 14) is divided by u(-49).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13591 + -13507. Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30653, -61359, -92065?\nAnswer: -122771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2741 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - 0.3. Let l = -1 - 1. Let z be ((-33)\/18)\/1 - l. Which is the closest to 1\/4? (a) z (b) -1\/8 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 71 - 4*w**2 - 71. Let g(s) be the third derivative of s**5\/60 + 2*s**2. Determine p(g(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.441 and -24504.\nAnswer: 108822.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z**2 - 2*z + 1. Let l(q) = -q**2 + q. Let c(b) = 8*b**2 - 5*b + 1. Let v(y) = c(y) + 4*l(y). What is 3*d(p) - 5*v(p)?\nAnswer: p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 0.2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**2. Let u(z) = 778*z. Calculate u(t(a)).\nAnswer: -3890*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8312 and 0.6?\nAnswer: 4987.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1046, -13, 2?\nAnswer: 1046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10479*i**3 - 7*i**2 - 248*i - 2?\nAnswer: 62874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/7 + 1948*a**2\/7 - 9824*a\/7 + 7872\/7.\nAnswer: 4*(a - 4)*(a - 1)*(a + 492)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/61367789 and -1\/11?\nAnswer: 675045679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/60 + 227*a**5\/30 - a**4\/8 + 5767*a**3\/6 + 4355*a**2. Find the first derivative of f(w) wrt w.\nAnswer: 6*w**2 + 908*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 361*r**2\/3 + 2936*r\/3 + 1968.\nAnswer: -(r - 369)*(r + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t - 13. Let m(i) = i**3 - 4*i**2 + 2*i - 3. Let z be m(2). Let h be (-2)\/7 - (-33)\/(-7). Let r(n) = 7*n + 9. Determine h*y(d) + z*r(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3*h = 11, -5*s - 1 - 16 = h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1784411 + 424411. What is t rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -103, -365, -799, -1405, -2183, -3133?\n\"Answer: -86*y**2 - 4*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 9, 13, 15, 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263231.1 + -5.\nAnswer: 263226.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*g + 4 = -x, 42 = 3*x - 5*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**2 - 2*v + 12. What is t(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/16*(54 - (2 - 2)). Suppose -5*o = 5*r - 595, r - 4*o + s = 171. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2519 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800810 is divided by 266874?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 142*q + 5506. Let b be h(-38). What is the greatest common divisor of 1023 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 7 - 2 + 5 - 4 + 3 - 4 + 2 - 3 + 4 + 0 + (-2 - 2 + 3)*(0 + 0 - 1) - 3 + 2 + 2)*(35*d + d + 70*d) in the form q + l*d and give l.\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 + 0 + 0 + (q + q - q)*(-6*q**2 + q**2 + 3*q**2) - 4*q**3 - 3*q**3 + 5*q**3 + 3 + 2*q**3 - 3 + 0*q**3 - 6*q**3 + 3*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 + (-527)\/(-4). Let u be f\/(-20) - (-2)\/(-5). Let m = u + 10. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 54 + -27 + -10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7244 and 18110?\nAnswer: 36220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -1121*z**5\/20 - z**3\/6 + z**2 + 2*z. Let u be y(1). What is u rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 - -1.98. Let m = i + -1. Let j = 1 - m. Round j to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -589\/108 - -19\/4. Let u = a + 10\/27. What is the nearest to -1 in u, 1\/3, -5, -2\/19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*g**2*q**2*s**2 + g*q**2*s**2 + 26*q**2 + 6*q*s**2 - s wrt g.\nAnswer: -44*g*q**2*s**2 + q**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 35*i - 20. Let n = 318 - 321. Let z(k) = 5*k - 3. Calculate n*p(y) + 20*z(y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**4\/12 - c**3\/3 + 3*c**2. Let o be d(-2). What is the units digit of (o\/2)\/(1\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87776 = -11*y + 38449. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -s - 53. Let z = -52 - s. Let y = -28 - z. Sort 1, -2, y in increasing order.\nAnswer: y, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 13 + 40. Let o = 32 + b. Suppose 0 = -o*n + 3*n + 200. What is the highest common divisor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 22*v - 7 = 19*v, -4*y - 7 = v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1627243 - 18384239 = 0. Let v = b - -11270494. What is v rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 184, -2, 2, -5, -4, 5 in decreasing order.\nAnswer: 184, 5, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, -3, 0.28 in descending order.\nAnswer: 0.28, -2\/27, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 1548 = -64*j - 122*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**9*y**8)\/((y*y**(1\/7))\/y)**28)**(1\/4) assuming y is positive.\nAnswer: y**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*z - 2*x - 1651, 0 = -3*z - 3*x + 4944. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*(-5)\/(-10) + 43. Let w = s + -35. Solve y - 6 = w*j + 2*y, 4*j - 5*y = 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 2*r - 7*r - 1 + 6*r.\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l - 39*l - 26 - 38*l + 64*l.\nAnswer: -30*l - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 9:27 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -5072.\nAnswer: -5072, -11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276709 is divided by 234.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9748, 9688, 9610, 9508, 9376?\n\"Answer: -j**3 - 3*j**2 - 44*j + 9796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -735487, -734574, -733663, -732754, -731847?\n\"Answer: -i**2 + 916*i - 736402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 3, o: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4240817821\/749928368 + 118126\/53081. Let r = s - 7\/883. What is the common denominator of r and -3\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 882987 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3474*s**3 + 216 - 4904*s**2 - 362*s**2 + 221 - 437 wrt s.\nAnswer: -20844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 144\/(-66) + 2 - 16\/(-22). What is the closest to -1\/4 in 2, 5, -0.03, r?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6153*r**6 - 34*r**3 - 7686*r**2 - 2*r + 8 wrt r?\nAnswer: 738360*r**3 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m + 67. Let z be a(-21). Let t be 2 + 50\/20*z\/(-5). Let o(x) = x**3 - x - 16. What is o(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*j - 4. Let y(f) = 2*f - 3*f - f. Let n(v) = 8 + 5 - 8*v - 13. Determine j*y(x) - 2*n(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*1\/(-6) - 10\/48. Let z be (-1 - -1)*(-2)\/(-4). Is r at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 4*c - c)*(-2*c + 3 - 3)*(-2 + 7 - 3)*(-2 + c + 2)*(-2 + 2 + 65*c).\nAnswer: -260*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:00 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*s - 3120 = 0, 2*s = -2*w - 2*s - 1550. Let f = w - -294. Let n = -274 - f. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - z + 586*z**2 - 2*z**4 + 19*z - 585*z**2 + (-z**2 - 2*z**2 + 5*z**2)*(2*z**2 + 5*z - 5*z).\nAnswer: 2*z**4 - 2*z**3 + z**2 + 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20311 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 33. Suppose 39 = 5*o + 4. What is the greatest common factor of s and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -18.9\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.9526 - -0.0474. Let a = -12.4 - -12.37. What is the closest to a in 3, -2\/13, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 17 = -10*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71246434 divided by -35623217?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (507591\/294)\/((-6)\/(-20)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -1 - -7 - (54 + -19).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10998)\/459 + 21 + 3. What is the closest to 3\/5 in -2\/19, -1, -0.6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 77.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.32994 millilitres in litres?\nAnswer: 0.08832994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 4. Let z(x) = 10 + 17 - 26. Let c(n) = -k(n) - 4*z(n). Let r(j) = 0 + 6*j**2 - 38*j**2 + 0. Calculate c(r(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49744, 49746, 49750, 49756, 49764, 49774, 49786?\n\"Answer: c**2 - c + 49744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*k - 48*k + 15*k)*(-4 + 7 - 4)*(-27 - 56 - 69 - 35).\nAnswer: -14960*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/135 and -4\/405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000100001001 (base 2) in base 12?\nAnswer: -195a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*j - 6376 + 6290 = 11*j + 12202 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Let w be (-2)\/o - 2\/(-3). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/9)\/(128\/(-96))*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from {h: 12, b: 1, q: 7}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -7\/6*l**3 - 3*l - l**2 - 1\/12*l**4 + 0. What are the prime factors of m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 95. Suppose -d = -3*x - 60 - 10, -2*x = -d + y. Let o = 15 - x. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699960 a multiple of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12319 + 406495\/33. Calculate the common denominator of d and 73\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-17)\/(w**(-8)*w\/w**1))\/((w**(1\/2))**(-1\/49)*w\/(w**(-8)\/w)*w**(-1\/3)) assuming w is positive.\nAnswer: w**(-5485\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -43, -59, -75, -91?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9186231 - 4498.\nAnswer: -9190729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5814761 rounded to the nearest one thousand?\nAnswer: 5815000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3796, 0, -4, -1104?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1165, -2\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3314 (base 5) to base 16.\nAnswer: -1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/2353 - 3464\/1461213. Do 0 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + 57 + -1 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 57, -3.\nAnswer: -47, -3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 14*y**2 + 6 - 1 - 5 - 16*y**2. Let h(l) = -l**3 + 3*l**2 + 4*l + 3. Let a be h(4). Let r(j) = 6*j - 6*j + a*j**2 + 0*j. Determine p(r(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 2119281.\nAnswer: 1\/706427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57.58 - 2.58. Let s = m + -54.68. Which is the biggest value? (a) s (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 16 = 3*s - k, -k = -2*s + 8. Suppose t + 1 = s. Suppose -t*g = -7 + 1. What is the lowest common multiple of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276040 is divided by 5737.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 44. What is g(21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 8*i**2 + 3. Let o be n(-8). Suppose -2*l + o*r + 31 = -0*r, -2*r = 6. Which is smaller: 13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0*o**4 + o**2 + 0*o**5 + 1\/3*o**3 + 0 - 1\/70*o**7 + 0*o + 0*o**6. Find the first derivative of t(b) wrt b.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-8)\/(-72))\/((-13)\/429).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2058?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**6\/120 + m**4\/8 - m**3\/6 - 9*m**2. Calculate the remainder when h(-3) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -i - 222. Suppose -2*g - 10 = -5*v - 0*v, i = 5*g + 3*v. What is the smallest common multiple of g and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -39.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 2634135368*k**2 + 2634135368*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 24*y**2 + 6*y**2 - 32*y**2 + 3*y**2 + 16*y**2. Let m(p) = 86*p. Determine m(r(n)).\nAnswer: 1462*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 898395.3 days to seconds.\nAnswer: 77621353920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 2 n when four letters picked without replacement from nveqqnqevqnnn?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 30968*u\/5 - 119877128\/5.\nAnswer: -2*(u - 7742)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -0.443 (c) 6 (d) -20 (e) 2 (f) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 16*i - 41. What is the tens digit of r(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8421?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.27 + 0.23. Which is the closest to 6? (a) -2\/11 (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51106913 rounded to three decimal places?\nAnswer: 0.511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 + -0.2. Let i = -2406 + 2405.8. Which is the closest to j? (a) 0.2 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 366936, 4, 3 in ascending order.\nAnswer: 2, 3, 4, 366936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 6*i**2 - i - 4. Let y be p(-6). Solve -y*j = -1 + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {g: 2, u: 4, i: 1, j: 1, d: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 4308*r**2 + 8604*r + 4300.\nAnswer: 4*(r + 1)**2*(r + 1075)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j - 3. Suppose -3 - 1 = -j*b. Suppose -2*d = -0*d. Which is greater: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55.7 + 2.3. Let d = 600 + -536. Let h = d - q. Which is the nearest to 1? (a) -3 (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*h + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzbbvp. Give prob of sequence zbp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1327422405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(2016)*-6)\/(-6*(sqrt(200) + 1*sqrt(200)*-4)))**2.\nAnswer: 448\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481.842 rounded to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 14.6697 years?\nAnswer: 1.46697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -153, -1153, -3859, -9123, -17797?\n\"Answer: -142*u**3 - u**2 - 3*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6) - 18\/(-54))*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20458995 is divided by 1076789.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 1\/(-1)) + 1281\/(-21). Is 12 a factor of 9\/((-2 + d\/(-30))*2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6708 and 13932.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 2:37 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -55521.49 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211299.4 hours to milliseconds.\nAnswer: 760677840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3\/7))\/x)\/x*x**(-15)*x*x**(-11)\/x*x**(-3\/7) assuming x is positive.\nAnswer: x**(-195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 121 = -406. Which is the third biggest value? (a) t (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 178, 175, 172, 169?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 18*i + 92*i**2 - 166*i**2 - i + 19*i + 71*i**2.\nAnswer: -3*i**2 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/4 or 31147?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Let s(n) = -32*n + 28*n + 4*n - 54*n**2. Calculate s(t(v)).\nAnswer: -216*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 197832608959.\nAnswer: -197832608952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78 - 10 - 46 + (0 + 5 - 4)*(0 + 4 - 3))*(2*x + 3*x - 3*x) to s*x + j and give s.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -121239 or -121248?\nAnswer: -121239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + -3.94. Let u = -0.2 - 0. Let m = -4 - -3. Which is the closest to m? (a) -2 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460800 rounded to the nearest ten thousand?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4624\/(-867)*(-2 + 1)*3. Solve -4*g + k = 4*w, -192*g = -5*w - 195*g + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1151734 - 1151734 + 249*i**3.\nAnswer: 249*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/3 - 17*x\/3 - 6 = 0. Calculate x.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - (135 + -101)) + (-1 - -41).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 427*h**3 - h**2 + h. Let w be y(1). Let n = -664 - -1458. Let k = n - w. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 237040636*i**2. Let a(y) = y. Give a(b(p)).\nAnswer: 237040636*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/((-11700)\/(-39))*-3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w**2 - 14 - 29*w**3 + 0*w - 2*w + 16*w**3 + 11*w**3. Let n be j(-6). Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - o + 2*o)*(-3 + 1 + 1)*(-4*o + 4 - 4) to the form a + b*o**2 + s*o and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597417 is divided by 319443?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 368 and 309764.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774972 is divided by 3229.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 27 = 3*d, 2*d = -3*a + 5*d - 6. Suppose 4*r = -a*i + 14, 2 = 4*r + 5*i - 16. Solve m + r*m + b = -12, 0 = 3*m - 3*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61976 in 2, 83, 5?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25774648643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-6 + 16 + -7 - (3 + -8)) + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 43 = 3*u, -5*j + 46 = 5*u - 3*u. Suppose -u = -7*x - 20. Sort x, 0, 22 in descending order.\nAnswer: 22, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4303*u**2 - 23*u + 3381. Let w(j) = 4311*j**2 + 29*j - 3381. Let c(f) = -4*w(f) - 5*z(f). What is the derivative of c(v) wrt v?\nAnswer: 8542*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10*k**3 - 1881*k**2 + 3604*k - 1140. Give r(-190).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26348 + 26044 - 52355 - 2*x**3 - x**3.\nAnswer: -3*x**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 16 - 22. What are the prime factors of (-715)\/(-20) + x\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -684 + 686. Solve y = k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2783 and 99.\nAnswer: 25047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1)\/(2\/101). Let k(h) = h**2 + 8*h + 2. Let y be k(4). Let v = o + y. Which is the closest to -0.1? (a) v (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -2 (c) 4570 (d) 0 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 26 + 11 + 3*q**2 - 9 + 30 to the form y + p*q**2 + s*q and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - 2*p - 11*p - 3*p as l*p + u and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-18)*(-64)\/(-240).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42b195 + -b1?\nAnswer: 42b0a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f. Let q be (-1 - -3) + 8 + (-2 - -4). Let o(i) = q*i + 15*i - 41*i + 13*i. Determine o(k(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108515?\nAnswer: 5, 11, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3648353 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/56 - (-51920)\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) 2\/17 (c) 304 (d) 86\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f**6 - 8*f**5 - f**2 - 172 wrt f?\nAnswer: -480*f**3 - 480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 + -164. What is u rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22148698 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1817725 by 455.\nAnswer: -3995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*w**2 + 30*w**2 - 63*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204 and 850.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17264 is divided by 750?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4241 + 1341?\nAnswer: -2600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -647*-0.243\nAnswer: 157.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 73184980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((33\/22)\/3)\/((-1)\/(-74)). Suppose 0 = -x*z + 45 + 66. Let g = -3 + 6. Solve -z*c - 5*o - 12 = 0, -c = -6*c + g*o - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61448 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:28 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342579 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 3, 7, 336.\nAnswer: -5, 3, 5, 7, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -259*v - 1. Let x be y(-1). Suppose -x = -2*c - c. Suppose 2*j = c - 8. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645879 is divided by 3777.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4842 + 2294. Let c = t - -4697. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 - 7 - 8\/2. Which is the second biggest value? (a) 1\/5 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5043 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*y - 6*w + 33, -9 = -y - 3*w. Suppose g = t - 8, y*t - g + 12 = 9*t. Suppose t*m - m = 180. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 59*d = -1844722. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 v when four letters picked without replacement from yvwyywyyyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71002162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19262, -37728, -56194?\nAnswer: -74660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20a1 + 163622?\nAnswer: 161531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4\/(-3)*594\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-10)*(-8)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*x**3 + 138*x**3 + x**2 - x**2 + 103*x**3.\nAnswer: 485*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266298?\nAnswer: 2, 3, 44383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1154*a - 1134*a + 74*a + 180*a - 1025*a to t + u*a and give u.\nAnswer: -3059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*r - 6 = 0, -r - 3*r - 12 = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 take away -19584484.0256?\nAnswer: 19584469.0256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5145\/6860)\/((-306)\/(-8)).\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46812080 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 n, and 1 i when three letters picked without replacement from nnwwwnninhnnnihwwwn.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -25*3\/((-45)\/24).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 5, j: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x = 19*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*w - 10*w. Let x be (-1*3*-1)\/1. Factor 2\/3*a**4 + w*a**x - 2\/3*a**2 + 1\/3*a**5 + 0 - 1\/3*a.\nAnswer: a*(a - 1)*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7065*j + 3. Let f(q) = q. Determine r(f(i)).\nAnswer: 7065*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904625259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*((-3)\/(-2) + -2) + 2. Suppose t*i = -2*j + 335 + 11, -4*i - 5*j = -688. Let n = i - 104. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -18*k**2 - 2*k + 24. Let a be q(0). Suppose 0 = -7*o + 20*o - 312. What is the greatest common factor of o and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 6, -4*t + 3*u = -86. Let j = -26 + 15. Let d = 19 + j. What is the remainder when t is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15028, -30133, -45238?\nAnswer: -60343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 25 = 0, -4*t - 2*a + 6*a - 4 = 0. Let j = 6 + 0. Let p be (4\/12)\/(2\/j). Solve v = t - p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (174405\/2695 - 2\/(-7)) + -31?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhaaraha. What is prob of sequence hrhr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.552 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 2*623\/182?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98704 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c*c\/(c*c\/c**(-2\/5)*c))**(2\/75) assuming c is positive.\nAnswer: c**(-4\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + (-8 - -7 - -8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/6 - 0)*-2. Suppose f*z + 25 = 3*k, 2*k = 4*k - 2*z - 10. Suppose 20 = -h - 0*h - 5*u, -2*h + u = 7. Put 1, k, h in decreasing order.\nAnswer: 1, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-42))\/(30\/105)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022 (base 4) to base 14.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 825, 3351, 7561, 13455, 21033?\n\"Answer: 842*f**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3953 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**4\/14 + 46*k**3\/21 + 104*k**2\/7 + 216*k\/7 - 5768. Factor t(j).\nAnswer: -2*(j - 27)*(j + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**4\/132 - 5*c**3\/33 + 25*c**2\/22 - c. Let z(f) = 0. Calculate f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107702377794 - -2\nAnswer: -107702377792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a - 4. Let w(z) = -3*z - 5. Let m(u) = 3*l(u) - 2*w(u). Let p be m(2). Let x(j) = -j**2 - 9*j + 9. Is x(p) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 6, h: 2, z: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 80, 105, 128, 149?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 2. Let x(d) = 6*d + 9. Let b(h) = 9*a(h) + 2*x(h). Let t(r) = 593*r**2. Give b(t(q)).\nAnswer: 1779*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 + (2 - (63 + -31)) + 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(209)\/(sqrt(44)\/sqrt(4)) + 0 + 1 + sqrt(684) + -5 + 0)**2 + 2.\nAnswer: -126*sqrt(19) + 1014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252129515.\nAnswer: 5, 11, 83, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1131)\/4)\/(-13)*8. Suppose 10*t - r = 16. Solve 0 = 15*i - t*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*r + 136*r = 0, -k - r + 147 = 0. Calculate the greatest common factor of 196 and k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0.024. What is c rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1630522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 5*r - 20 = -24*w, 4*r = -w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4688 divided by 4\nAnswer: -1172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Calculate d(-16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 19. Let r be f(9). Let t be ((-1)\/3*-6)\/r. What is the smallest common multiple of 21 and (-1 - t) + 30\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9*i**(-22))\/((i**(-20)\/i*i)\/(i\/i**(-21)*i)) assuming i is positive.\nAnswer: i**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 - -62cc17?\nAnswer: 62cc07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50204 and 844340.\nAnswer: 9287740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -2*i - 1 - 5, -33*i + 2*c + 99 = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49473, 98887, 148239, 197529, 246757, 295923, 345027?\nAnswer: 394069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2873 times -0.03\nAnswer: -0.008619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 5. Let r be a(-8). Suppose r*h + 4*q + 0 + 4 = 0, 3*q = h - 3. Suppose 5*s - 3*f = 1, h = f + 2 - 5. Solve s*i - i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 7*a - 26. Suppose 0 = -2*z + 2*w - 8, 5*z + 4*w = w - 28. List the prime factors of f(z).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 7*w**2 - 126*w - 893. Give p(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1465 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(468)\/(sqrt(300) + sqrt(12)))\/sqrt(3).\nAnswer: sqrt(13)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 71 - 133 = 0. Let t = 31 + o. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**3 + 34*h**3 - 17*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 5:01 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*x - 25. Suppose 0 = g - x. Suppose -z + 20 = 4*z, -j - g = -3*z. Solve j*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2706*g + 180 = -2688*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14072 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -196 + 303. Suppose -769 = -2*k - d. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2210617802?\nAnswer: 2, 71, 15567731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3073312 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-24) + (17\/((-884)\/2977))\/(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-18)\/(-12) - 1020\/(-48)*2)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/((40\/4)\/(-5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 4624*j.\nAnswer: -4624*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 48*z**2 + 6*z + 137. Is o(-25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24, -64, -88, -60, 56, 296?\n\"Answer: 6*a**3 - 28*a**2 + 2*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -172*q**4 + 6*q**3 + 663*q**2 + 1.\nAnswer: -4128*q + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*h**3*p - 25505*h**3 + 2074560*h*p - 1260*h wrt p?\nAnswer: -29*h**3 + 2074560*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 1*(0 + 2). Suppose i = -5*j, -7*h - 52 = -3*h + 5*j. Is -1*h*(2 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184565.46 months to millennia.\nAnswer: 15.380455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-80)\/(-25)*(-5)\/(-2). Let s be x\/(-3)*8\/96. What is the smallest value in -2\/17, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) -118161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 179603088, 359206180, 538809274, 718412370, 898015468, 1077618568, 1257221670?\n\"Answer: c**2 + 179603089*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 13 + z**3 - 2*z**4 + z**2 + 17 in the form h*z + d + n*z**4 + r*z**2 + q*z**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/5 in 30, -2, 3\/4, -1.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3417591 to the nearest 10000.\nAnswer: -3420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7810 divided by 5.\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598810 is divided by 1111?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2524*w**2. Let m(q) = 19*q + 2. Determine m(u(n)).\nAnswer: 47956*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -0.119, -0.7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16388.\nAnswer: 2, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011615257 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*j = -28*j - 64 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1619568.183 + -0.022.\nAnswer: -1619568.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.59 (b) 2 (c) 7 (d) -0.011 (e) -4.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7807, 0.7, -104 in increasing order.\nAnswer: -7807, -104, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*q - 8, 3*d + 12*q = 7*q + 42. Solve -d*c + 79 - 55 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - f**3 - 5*f**5 + 6*f**5 + (1 - 1 - 7)*(-f**5 + 0*f**5 + 3*f**5) + 2*f**5 + 2*f - 2*f.\nAnswer: -11*f**5 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013617 rounded to three dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/15 and -7\/7460.\nAnswer: 22380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i + 84 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -150\/13, -1 in decreasing order.\nAnswer: -0.2, -1, -150\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, a: 5, c: 1, b: 4}. Give prob of picking 3 h and 1 c.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 9*o + 2*s = -111, 75 = 2*o - s. What is the remainder when 623 is divided by o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20607886 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56.03 - 37.12. Let c = -0.21 - -19.21. Let g = w - c. Round g to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 15*d**2 - 1. Is p(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 368 and 966.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-3) + (-2)\/3. Let n be 5\/(o + -1 + -1). What are the prime factors of (9\/5)\/(1\/n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13116, -26245, -39374, -52503, -65632?\n\"Answer: -13129*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i - t + 1 = 0, 6*t + 6 = 0. Which is the closest to 0? (a) i (b) -15 (c) 6 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 3, e: 3}. What is prob of picking 1 w and 2 e?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*m - 80, 3*m + 192 = 2*o + o. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 + 3*q + 9. Let i(j) = j**2 - 2*j - 4. Let k(b) = -2*g(b) - 5*i(b). What is k(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87 in 2, -0.2, 1\/3, -1\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4 = -5*l + 4*w, -20 = 4*w. Let f be 2\/(-7)*14*4\/l. Sort 5, f, -3 in descending order.\nAnswer: 5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(3)) + sqrt(108) + -1 + 1)**2 + 1.\nAnswer: 144*sqrt(3) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -1\/20*y**4 - 5*y + 2\/5*y**2 - 1\/50*y**5 + 0 + 2\/15*y**3 + 1\/150*y**6. Factor x(p).\nAnswer: (p - 2)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-7367.06.\nAnswer: 3683.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 13, 5, -21, -71?\n\"Answer: -z**3 + 11*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 52 = 4*r - 5*r, 5*k + 130 = r. Suppose 358 = 5*f + 203. Let c = k + f. Solve -c*g = -3*m - 29, -3*g = -7*g + 2*m + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + -1.04. Let t be 4\/16 + (-25)\/4. Let r be (4\/6)\/(t\/(-18)). Which is greater: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t + 10. Let x(d) = -d**2 - 26*d + 49. Let r(c) = 11*b(c) - 2*x(c). Suppose -342*o = -353*o + 55. What is the units digit of r(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4465799 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -1\/3, 81, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/(-7) + 6\/(-2). Find the first derivative of -f**3 + 3*f**3 + 0*f**d + 1 wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.17. Let u = 35\/611 + -28\/47. Let p = -1\/26 - u. Do n and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/129849 or 1?\nAnswer: 2\/129849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/385*5\/(5\/(-8)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/40 + p**5\/20 + p**4\/4 - 8*p**2. Solve r(w) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1650001*m + 10. Let k be d(10). What is k rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557777, -1115561, -1673345, -2231129?\nAnswer: -2788913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(3) + sqrt(48)) + sqrt(104)\/(sqrt(72) - sqrt(8)))**2.\nAnswer: 637\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.69999941 + 19.7. What is o rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, g: 8, y: 5}. What is prob of sequence dyyd?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050535 - -13.976276?\nAnswer: 3050548.976276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48078 plus 0.2?\nAnswer: 48078.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 27*z - 156. What is the remainder when 515 is divided by h(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6113 + -12.33?\nAnswer: -8.7187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*p + 6. Suppose 25 = -p*n, -107 = -3*l + 2*n - n. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/120 - 2*u**3\/3 + u**2. What is the derivative of b(t) wrt t?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -956248, -1912519, -2868790, -3825061?\n\"Answer: -956271*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/15 - 7082*p**2\/15 - 28286*p\/15 + 2358 = 0. What is p?\nAnswer: -3537, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/10)\/(4\/(-20)))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*y - 25, -5*y = -3*l + 2*l + 35. Let c be 72\/20*(-45)\/y. Suppose 0 = -c*r + 24*r. Solve r = -5*w - 28 + 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (24 - 28 - (-1 - 8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3193 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576 = 12*k - 2520. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(225))\/sqrt(4).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/3 + 316*b**3 - 118778*b**2\/3 + 508760*b - 5184200\/3.\nAnswer: -2*(b - 230)**2*(b - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3016447006 to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -97770354 + -0.5\nAnswer: -97770354.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + j + 4*j + 276 = 0, -4*u = -j - 534. Suppose -5*p - u = -23. Let s = 40 + p. Calculate the greatest common factor of s and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70237*a**5 + 34388*a wrt a.\nAnswer: -1404740*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 + 255*m**2 + 2441*m - 13. Determine z(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-116)\/(-112) + 6\/(-8). Let p = 0.1 + -0.2. What is the third biggest value in m, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4639 - -2023. List the prime factors of m.\nAnswer: 2, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/66612 and 49\/31354.\nAnswer: 17119284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/35 - 4\/7. Which is the second biggest value? (a) -3 (b) 2 (c) n (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -9*y + 8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134349227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -18 - 10 - (4 + 10)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 - -2963?\nAnswer: 28a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**10\/75600 + i**9\/18900 - i**7\/3150 - i**6\/1800 - i**4\/6 - 7*i**2. Let o(u) be the second derivative of x(u). Factor o(k).\nAnswer: 2*k*(k - 1)*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-14))\/((-12)\/((-32)\/8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5038843 - 8110243. What is j rounded to the nearest ten thousand?\nAnswer: -3070000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {h: 1, i: 1, a: 1, z: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**18))**(4\/17) assuming i is positive.\nAnswer: i**(72\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaoafootaftaaaaof. Give prob of sequence ao.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 48. Suppose -5*d + 151 = p, p - d + z*d = 133. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -149 (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from vvxvfvfffvfvvvx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -367 + 387. What is the tens digit of 15*((-132)\/(-22))\/(b\/82)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 199 - 96. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 2. Suppose 18 = -5*a + 13. Calculate the smallest common multiple of 1\/a - -4 - -1 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7064 and -0.5.\nAnswer: -3532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*g + 7, 5*g - 2 = m - 0*m. Let z be (-36)\/6*m\/(-6). Solve -4*i = -z*i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933829.2kg in tonnes?\nAnswer: 933.8292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*v*x**2 + 37*v*x*z - 604*v + x**2*z - x*z + 2*z with respect to x.\nAnswer: -10*v*x + 37*v*z + 2*x*z - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*u**4 + 569021*u**2 + 221054852*u.\nAnswer: -348*u**2 + 1138042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(11150\/2785 - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 4*l + 248 = 0, 0 = 219*j - 224*j - 2*l - 63 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*(-1 - 61). Let l(b) = b - 2. Let n be l(-9). Let a = w + n. What is the greatest common divisor of a and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o**4 - 11*o**4 + 9*o**4)*(0 + 0 + 2*o - 3 + o + 3 + 4*o - 2*o - o + (2*o + 2 - 2)*(-1 + 3 + 0) - 2*o - 1 + 1 + 2*o - 1 + 1).\nAnswer: -96*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 26 = 4. Let m = 26 - 33. Let k = 73 + m. Calculate the greatest common divisor of k and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 - 82*q**2 + 562*q - 92. Let i be m(-47). What is h in -2\/5*h - 8\/5 + 2\/5*h**3 + 8\/5*h**i = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 - 270*l**3 + 1500*l**2 - 2920*l + 1920.\nAnswer: 5*(l - 48)*(l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -40*q + 39*q - 2, 2*q = 2*w + 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10101100011000?\nAnswer: 10101100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*k**2 + 2*k**2 - 5*k**2 + 6*k wrt k.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 45. Let d(k) = k**2 + 6*k + 1. Let x be d(a). Let m be -2*2\/4*(-3)\/x. Solve -2*t + w + 0 - 1 = 0, 2*t - m*w = -3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 6 = 4*g. Let q = 10 - g. What is the units digit of 1\/(2*1\/q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(4\/232*-2). Suppose 0 = 2*c + b - 17. Let p be (220\/c)\/(24\/(-36)). Round p to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459072?\nAnswer: 2, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/1*1\/2. Does 4 divide 2\/12 - (-142)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {l: 2, s: 4, p: 3, j: 3, m: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.373, 0.08, 7\/44?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-50))\/((-16)\/(-40)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/175*105\/441*-7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -203 + 70?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1303316 = b + 13*b. Let x be -3 + -5 + (2 - b). What is x rounded to the nearest one thousand?\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2324)\/8)\/(-83)*27\/(-12)*(-528)\/126\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -35084721 and 0.2.\nAnswer: -35084720.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 237406*u**3 - 88825*u wrt u?\nAnswer: 1424436*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 4*d. Let w be s(2). Solve 0 = -2*b + b - w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 734, 742, 750?\n\"Answer: 8*b + 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1\/99, 41987, 0 in increasing order.\nAnswer: -3\/4, 0, 1\/99, 41987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 2 = 966*c - 969*c + 14, 4*c - 73 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 2. Let l be 10\/45 + s\/18. Let m(n) = n**2 - n - 10. Let j be m(-3). Solve -14 = 3*i + v, j*i + v = -l*i - 10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276 divided by -58578?\nAnswer: 46\/9763","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6733553 micrograms to milligrams.\nAnswer: 0.0006733553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from exexeeexeeeexeeexx?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6559 + 10157. Calculate the remainder when y is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 365547*l**2*q**3 - 27*l**2 + l*q**3 - l*q**2 - 67340*l*q - 5*l - 32*q**3 wrt l?\nAnswer: 731094*q**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3660 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3*8\/2*1\/8\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4254728 and -82?\nAnswer: -348887696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774180860 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6070020538 to the power of 1\/3, to the nearest integer?\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -517130 by 5.\nAnswer: -103426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.5 - 35. What is the third smallest value in j, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008789 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g + 10*g + 14*g + 2 + (3 - 3 - g)*(-6 - 8 + 3).\nAnswer: 28*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 0) + (-5 + 23 - 10 - 11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0812730974 and 125.185.\nAnswer: 125.2662730974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*-5*(sqrt(252) + -1)*4 + (-1*sqrt(252) + 4 - (sqrt(252) + ((sqrt(252) + 2)*-3 - sqrt(252) - sqrt(252))**2 + sqrt(252)))).\nAnswer: 1032*sqrt(7) + 25408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142610 is divided by 5914?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*q = -9*q - 25, 10 = -j - 2*q. Suppose -4*o + 51 = 2*v - 37, j = 3*o + 5*v - 52. What is the highest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3509 - -4499. Calculate the greatest common factor of c and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 2, g: 4}. What is prob of picking 1 g and 2 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/90 and 35\/12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 854429 to the power of 1\/2, to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68250 divided by 22750.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Let o = q - -1. Solve -l + 2*a = o, 4*l - 3*a + 8 = -2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.215, -5\/2, 5, -0.3 in ascending order.\nAnswer: -5\/2, -0.3, -0.215, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 2*z + 6, 52 = 2*z + 6*p + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48419 + -21192. Does 171 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 3. Let q be n(0). Let u be (2 + -1*4)*1. Is u bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = 2*o, 0*o = h + 2*o. Suppose -w + 19 = h*c - 4, -3*w - 4*c = -29. Suppose -175 = -w*x + 26. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:49 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -5, -13, -23, -35?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**3 + 166*v + 1. Let o(f) = 9*f**3 + f**2 + 333*f + 1. Calculate 5*g(n) - 2*o(n).\nAnswer: 2*n**3 - 2*n**2 + 164*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**3 - 7*p**2 - 8. Suppose 0 = -52*z + 32*z - 20. Let d(x) = -x**2 - 1. What is z*u(r) + 6*d(r)?\nAnswer: 4*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 251*p**2 + 9418*p + 4844. Give k(-37).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31702, 31668, 31550, 31306, 30894?\n\"Answer: -7*q**3 + 15*q + 31694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 25. Let f be (r + 8)\/((-3)\/2). Suppose z + 3*z + f = 2*o, -2*o = z - 36. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*n - 223*n = -458*n - 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 - 2*n**2 + 5*n**2 - n**2 + 2 + 6*n**4 + 2*n to l*n**3 + q*n + y*n**4 + a + v*n**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -348*r**2\/5 + 536734*r\/5 - 718106\/5 = 0. Calculate r.\nAnswer: 233\/174, 1541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 2722410.\nAnswer: -13612050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 2*a + 5. Let k be l(3). Suppose 4*d = p - 35, -d - k*d = -4*p + 127. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -956 by -239.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 86\/50525*705*15\/21*(-1)\/4\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-98)\/(-28))*8\/(-3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 1 m when three letters picked without replacement from {a: 2, g: 2, q: 1, v: 1, m: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -535 + 2708. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1021818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 6944949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1780130199 divided by 16037209.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*l - 0. Suppose -l*v = -20 - 4. Suppose 5*z - 45 - 195 = 0. Calculate the highest common factor of z and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160.02 + -160. Sort -9, 1, u in ascending order.\nAnswer: -9, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.2 times 0.082769?\nAnswer: -1.6719338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 100318 + 100225 = 0 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568182457 to the power of 1\/2, to the nearest integer?\nAnswer: 23837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-70)\/(-21))\/((-16)\/(-12)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.984 - -0.016. Let j = i + -37.4. Round j to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + r**2 - 6*r**2 - 3*r**2 + r**3 - r + 1. What is j(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37*2*(-165)\/(-10).\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + -12 + 40 - -28.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-167 - (-39 + -57)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/1 + -2 + -3. Let v(l) be the first derivative of 0*l + 1\/2*l**2 + q. Let b(x) = 3*x**2. What is b(v(o))?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -9. Let j = 12.2 + -12.6. Which is the third biggest value? (a) 1 (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 540 and 29880.\nAnswer: 89640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20396 - 9851252\/483. Find the common denominator of u and 23\/5.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1537 - 653. Suppose -z + 2143 = -2*b - m, -3*b = -3*z + 9096. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/17 (b) -12 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553734 (base 9) in base 3?\nAnswer: 1121210211011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ab31f (base 16) to base 4.\nAnswer: 22223030133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.468 - 1.5. Let u = t - 0.003. What is u rounded to three decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(252\/(-27) + 8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*s = 21, 3*v + v + 2*s - 6 = 0. Solve -3*x = v*x + 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-110))\/((-2)\/5). Let r(g) = g**3 + 9*g**2 + 7*g - 9. Let f be r(-8). Sort -3\/4, f, a.\nAnswer: f, -3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647995 to the power of 1\/2, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9 + 1 - 4*o + 26 + 18. Let x be k(8). Suppose 0 = -5*b - r + 208, -r + 70 = x*b - 96. Calculate the greatest common factor of b and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 + 7)*(15*j + 5*j - 12*j)*(1 - j**3 - 1).\nAnswer: -72*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -4*p + 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 550 - 549.879. Let p = l - 7.121. Suppose 3*y = 2*y - 1. Which is the smallest value? (a) y (b) p (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 8:10 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*a + 6*z - 3*z - 2*z, 0 = 9*z - 36 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -42, -4, -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times 90\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 280.3 + -627.5. Let w = -347 - r. Let d = 2 + -2. Which is the nearest to d? (a) w (b) -1 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 4. Let n be i(4). Suppose 2*s - 19 = -5*o, -5*o = -330*s + 333*s - 16. Let h(c) = -o*c**2 + 21*c**2 - 9*c**2 - 8 - 8*c**2. What is h(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501973347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24755\/556 - -38\/139. Let i = 45 + g. Put 0.4, -0.3, i in decreasing order.\nAnswer: i, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (612\/(-4284))\/(2\/(-182))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + 4 + (-9 + 24 - (6 - 14)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from leufmesm. Give prob of picking 1 e, 1 s, and 2 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 461 divided by -5\nAnswer: -461\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {x: 1, v: 1, w: 1, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.79 - -121.69. Round h to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.08 (b) -0.4 (c) 4\/447 (d) -26.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*i + 2*u + 2*u, -8 = -4*i - 5*u. Let n be (2\/i)\/(1\/7). Suppose 6*o - 36 = n*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1608722485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.618 - -585.382. Let t = 585 - j. Is 0.41 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5945129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83110361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/851)\/((-892)\/874606)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*-2*((-1 + sqrt(363))**2 + -4).\nAnswer: -132*sqrt(3) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7))**11)**(-24) assuming t is positive.\nAnswer: t**(-528\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (922\/462)\/(-1) + 2. Let v = q + -2\/21. Let u = 3.637 - 4.037. Which is the nearest to -9? (a) u (b) v (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 - 9*o - 6. Let r be q(-4). Suppose 0 = 3*s - 337 - r. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2 (c) 62\/49 (d) -0.032\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/(-6) - 4\/(-6). Let v = 21 - 5. Let s = -11 + v. What is the nearest to -2\/5 in 0.2, m, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**2 + c. Let z be t(-1). Suppose 0 = h - z*h + 176. Calculate the greatest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-315)\/5*42\/(-18)*(-5)\/35.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -148757965 * -4\nAnswer: 595031860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2021, 4284, 6817, 9620, 12693, 16036?\n\"Answer: 135*x**2 + 1858*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 109 + -74. Let q = w + -18. What is the greatest common divisor of 85 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/207*(2 + (-39)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 135 - 245. Suppose r*o - 1137 = 17*o + 3*z, 0 = 3*o - z - 683. What are the prime factors of o?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24375 divided by 325\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 708 + -687. Calculate the remainder when 754 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.844730475 plus 0.44?\nAnswer: 1.284730475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 378 and 6.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166821467.\nAnswer: 43, 3879569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in -0.3, 181, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 4*f**2 + 4*f. Suppose 3*b - 4*s + 7 = 0, -3 = s - 1. Let y be j(b). Suppose -10 = y*d - 30. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 9373211987?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -966*q = -965*q - 3981. Is q a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2 + 1 - m + 0*m + 2*m. Let b be z(6). Suppose q - b = -0*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**5\/5 - f**4\/4 + 3*f**2\/2 - 12*f. Let x be w(2). What is the highest common factor of x and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5491 divided by 1?\nAnswer: 5491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 90*y**3 + 3*y**5 - 6 + 9*y - 28*y**3 + 6*y**2 - 36*y**3 - 38*y**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -357616 to the nearest one thousand.\nAnswer: -358000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38537?\nAnswer: 89, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*n + 1. Let j be (-161)\/5 - (4 + n). Let f = j + 33. What is the third smallest value in -1, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*c + 34*c - 7*c = 0. Let i(u) be the second derivative of 0*u**2 + 0 + 1\/140*u**5 + c*u**3 + 1\/84*u**4 + 10*u. Solve i(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 41. Let z = -17 - h. Suppose 4*p - 44 = z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 10*f - 3*f)*(-86*f**2 + 205*f**2 + 19*f**2) as t*f**3 + a*f + o + g*f**2 and give t.\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*s + 33 = 0, a + 701*s - 21 = 704*s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-7 - (-1 - (5 + -2)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjppj. What is prob of sequence jzpj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 2\/21*k**7 + 12*k**2 - 38\/3*k**3 - 6\/5*k**5 + 0 - 147*k - 4\/15*k**6 + 20\/3*k**4. Determine q so that x(q) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/153 and 41\/9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13935 is divided by 419.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/((-192)\/(-25690476)))\/1*2\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163670 and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-3 - 4) - 1. Suppose -3*y - o*y + 168 = 0. Calculate the highest common divisor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -151356, -305854, -460354, -614856, -769360, -923866, -1078374?\n\"Answer: -y**2 - 154495*y + 3140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 4:08 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v - 9. Let c be w(-14). Suppose m = -c*f + 15*f + 5751, 0 = -5*f - 3*m + 7187. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 - 2.8. Let g = 1 - 3. Let o = g + 2.1. What is the closest to o in 4, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Suppose 3*g = -0*g + 5*t + 25, a = -2*g - 2*t - 10. Suppose 4*m + 3*p - 5*p + 26 = g, 19 = -5*m - 2*p. Which is smaller: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*i - 68 = -141*i - 11*f, -5*i + 2*f = 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-328)\/88 - 4.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/40)\/(2\/(-4)). Let w = 178412.5 - 178412. What is the closest to 0.1 in 2, w, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234042 (base 6) to base 4.\nAnswer: 10331222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 73*v - 751. Let a be u(9). Is -99 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b + 1. Let h be w(4). Let x(y) = -y**3 + 6*y**2 + 8*y + 3. Let f be x(7). What is the greatest common divisor of h and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 + 59*f - 8. Determine h(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/408 and 127\/78581480.\nAnswer: 235744440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -78 (c) 8.4 (d) -3.2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-20 - -23) + 6 + 2 + -36.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 1 = -18*u + 27*u + 3*a, -15 = -5*u - 5*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/7 and 6\/25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -93 + -a6?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123967 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*l*n**2*p + 583*l*n**2 + 39*l*n*p - l*p + l + 2*n**2*p + 4*n**2 + 34*n + 38*p - 4 wrt n?\nAnswer: 22*l*p + 1166*l + 4*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/14809460 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 504 + -524746?\nAnswer: -524242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55607, -111217, -166829, -222443, -278059, -333677?\nAnswer: -389297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -487 + 5963\/12. Let l(z) = -z**3 - z + 13. Let d be l(0). Calculate the common denominator of (7\/2*d)\/1 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1315 - -1317. Let v = 2.924 - -0.076. Sort v, o, 13 in decreasing order.\nAnswer: 13, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70512 or 1\/2?\nAnswer: -70512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 u when three letters picked without replacement from oohofuffffouofoohooo?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -0.3 (c) 5 (d) -13\/2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-728)\/(-273))\/((-4)\/(-1))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*q + 26 - 20, 0 = l + 1. Suppose 0 = a + 2*a. Put 3, a, -1, q in increasing order.\nAnswer: -1, a, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**2 - 3440400*v + 986362680000 = 0?\nAnswer: 573400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/69733 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 634 in 0.5, 2, 0, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 462 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25008 - 25118 = -22*h. Let x(p) = -3*p - 1. Let m(r) = -6*r - 3. Calculate h*x(y) - 3*m(y).\nAnswer: 3*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.641766ml in litres?\nAnswer: 0.002641766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/(-12))\/(((-8)\/(-64))\/(-1)). Solve i*s = 3*s - 90 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 2:32 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = c - 2*c. Suppose 0 = -2*n - 2*u + 10, 5*n - 34 = -u + c*u. Suppose -p - n = p, -4*l - 4*p + 52 = 0. Solve l = -7*z + 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - 4*t + 3*t + 2*t + 2*t - 2*t + (2 + 1 - 4)*(0 - 2*t + 0) + t + 3*t - 5*t + 14*t + 67*t - 9*t)*(3 - 2 + 0) to k + a*t and give a.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3275 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2411 + -1303?\nAnswer: -3714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + z**2 + z**2)*(-4*z + 76 - 76).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -698, -2142, -4330, -7256, -10914, -15298, -20402, -26220?\n\"Answer: o**3 - 378*o**2 - 317*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1919 - 2.891895. Let d = 0.57 - -0.13. Let f = d + o. What is f rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-176)\/(-55))\/((-2)\/(-15)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1204 divide 11834243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 8:43 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/((-28)\/(-2))*-8)\/4. Let r = 0.37 - 0.07. Let z = r - 0.8. Which is the second smallest value? (a) t (b) z (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/8*2\/(-12)*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000289205 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -51, -108, -227, -432, -747, -1196, -1803?\nAnswer: -2592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 397710?\nAnswer: 3181680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/53, -34, 4, -3, -0.3 in increasing order.\nAnswer: -34, -3, -0.3, -2\/53, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**3 - 95*f**2 - 599*f - 1233. Let c(b) = -30*b**3 - 570*b**2 - 3595*b - 7400. Let h(x) = -4*c(x) + 25*p(x). Factor h(t).\nAnswer: -5*(t + 5)*(t + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-3\/4)\/r))\/r)\/r**(-41)*r*r*r*r**(-17\/3)\/r*r**(-2\/37)\/r)**(33\/4) assuming r is positive.\nAnswer: r**(185735\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/45)\/((-4)\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3172131328 + -0.038?\nAnswer: 3172131327.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*s + 328 = 0, -225 + 33 = -2*v + 4*s. What is the third derivative of v*p**4 - 2*p**6 - 106*p**4 + 6*p**6 + 7*p**2 wrt p?\nAnswer: 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 3. Let h(b) = -2. Let u be ((-28)\/5)\/((-2)\/(-10)). Let t(n) = -3*n - 6. Let x(c) = u*h(c) + 4*t(c). Give -32*w(g) + 3*x(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-143500)\/(-84)*(-27)\/(-15). Calculate the highest common divisor of y and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 divided by -76133?\nAnswer: 89\/76133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 2, g: 9, u: 1}. What is prob of picking 3 g?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/5 - 131844*k**3\/5 - 2173645962*k**2\/5 - 5213902824*k - 15638861160 = 0 for k.\nAnswer: -32955, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24.356 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 15*t**2 + 33*t - 26. Calculate y(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 18884 = -3*h, -k + 4*h + 9445 = h. Let w = k - 65383\/7. Let u = w + -98. Which is the nearest to 1? (a) 2\/9 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*f*j + 718*b**3*j**3 - b**2*f*j**3 + 21*b**2*f - f*j**3 wrt b?\nAnswer: 6*f*j + 4308*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/60)\/((-45)\/((-1350)\/12))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**3 - 39*y**2 - 7*y - 1. Let v be t(10). Solve 5*b - 6 = j - 17, -3*b = 5*j + v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16806 and 174?\nAnswer: 487374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/24 + 13102586\/84. Suppose m - 29560 = 33*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 71, 70, 83, 116, 175?\n\"Answer: t**3 + t**2 - 11*t + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 42 - (-80 - 11)) + 19 + 2?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 12:43 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 622547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18020 and 1590?\nAnswer: 54060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -105.1 in 0.021, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**2 - 3*k**2 + k**2)*(-1 + 1 - 2)*(3*k + k - 2*k - 1) to u + b*k + i*k**2 + a*k**3 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5109 - 5111. Which is the fourth smallest value? (a) -34 (b) f (c) -2\/19 (d) -3 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 + 0*r**3 - 2*r**3)*(-38*r + 35*r - 35 + 407).\nAnswer: -3*r**4 + 372*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*a = 4564, 5*a - 6408 = 3*f - 20040. Which is smaller: 4548 or f?\nAnswer: 4548","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184125, 370824, 557523, 744222, 930921, 1117620?\nAnswer: 1304319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12*192\/(-744)*-1\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-9))\/(2 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1527*i**2 - 1284*i + 7693. What is the ten thousands digit of a(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1158)\/396 + (-8)\/(-6) and 89\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**2 + 15*s - 21. Calculate n(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 374901 and -2585.\nAnswer: 372316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1551541398, 1551541408, 1551541432, 1551541476, 1551541546?\n\"Answer: x**3 + x**2 + 1551541396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 268520?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + h - 2. Let w(s) = 27*s**2 - 5*s + 10. Determine -4*f(u) - w(u).\nAnswer: -19*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + l**3 + 4*l**3 - 136*l - 63*l + l**2.\nAnswer: l**3 + l**2 - 199*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3548 + 3724.3. Let u = -147.28 + w. Let x = u - 29. Which is the third smallest value? (a) -0.5 (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 9) in base 4?\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n - 83 = 29*n - 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/13519, 0, -3, -1 in increasing order.\nAnswer: -4, -3, -1, -2\/13519, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24241 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.18 - 0.82. Suppose -3*u = 64 - 1. Let z = -20 - u. What is the nearest to z in -5\/2, o, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -21*q + 7. Let r(x) = 18*x - 6. What is -3*r(j) - 2*v(j)?\nAnswer: -12*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1*-2)\/((-1197)\/76 + 16))\/2. What is the biggest value in k, 11\/4, 1\/3, 2, -0.04?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 4 (c) 0.3 (d) 866\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 + 1 - k - 2*k**3 - 14*k**3 + 16*k**3 to the form p + f*k**3 + y*k + u*k**4 + g*k**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.64 - -2.6. Which is the third smallest value? (a) j (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d*(d\/d**(-2)*d)\/d))\/d)*d**(-6))\/(d*d\/(d\/d**(2\/3))*d*d**(6\/5)) assuming d is positive.\nAnswer: d**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 minus 48.863?\nAnswer: -47.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (-39 - 27) - (1 + -11)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90557 = -5*m - 4*d + 90592, -4*m = 2*d - 28 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800450 is divided by 1767?\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*l + 3367 - 9272, -5*l - 5*w = -5925. Let f = l + -666. List the prime factors of f.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 10:50 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + k - 1 + (1481 + 12*k - 1481)*(18 + 78 + 59) as j + t*k and give t.\nAnswer: 1861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529285472 a multiple of 712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 divided by -64?\nAnswer: 207\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -3, -58.8 in decreasing order.\nAnswer: 26, -3, -58.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -p + 1659, 2*p = -2*b + b + 3309. Let n = -1826 - -4674. Suppose -8*y = -n - p. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -5 - (0 + 6). Find the common denominator of 259\/(-42) - (-2)\/h and 41\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10 - 0) + 0 - (-1 - -3)) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 1759.\nAnswer: -879.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 7*a**3\/3 + 209*a**2 - 29782*a\/3 + 4216 = 0?\nAnswer: -124, 3\/7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 336 (base 9) to base 3\nAnswer: 101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3534562 (base 7) to base 8.\nAnswer: 1546626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/11560 and -197\/1716660?\nAnswer: 3433320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(-2)*25\/(-45) and -74\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -587.16278?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 52*n**2 + 54*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1221 - 55150?\nAnswer: -53929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 623 - 437. Suppose 5*w - 6*w + l = 0. Suppose -4*u = -4*y - 132 - 244, 2*u - w = y. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**24*a)\/a)\/a**(-5\/13)*(a*a**(-28)*a)**42 assuming a is positive.\nAnswer: a**(-13866\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 + 0 = 0. Find the second derivative of -2*w**2 - k*w + 0*w**4 + 2*w**2 - 3*w**4 wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.5 (b) -0.0359 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10017054 is divided by 1855?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*v - 218*v + 101*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3057*b + 0 + 2 + 2722*b.\nAnswer: 5779*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -1\/3 (b) -0.4 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 11. What is the remainder when d(-10) is divided by (-3)\/(-4)*2*(-12)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4 + 10)\/42)\/(18\/(-21) - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3268512 a multiple of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131.2 - -130.8. Let g = -3.5 - -3. What is the second smallest value in o, -0.2, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 687 - 691. What is the third biggest value in -0.05, i, -0.09, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -15\/8, 17?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 - -90. Let c = w - 163.2. What is c rounded to 0 dps?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**4\/2 - 15*t**3 - 27*t**2\/2 + 5*t + 94. What is the units digit of v(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 8. Let i be w(-8). Suppose i = y - 5*g + 21, 2*g - 3 - 7 = 0. Suppose n = y*n. What is the closest to n in 2, -2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1250 + 469. Is -775 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-6)\/(-4))\/3*0. Let y(h) = -25*h**3 - h**2 + h - 1. Let c be y(1). Let x = 105\/4 + c. What is the closest to 0.1 in x, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -206*v + 199*v + 56. Solve -41*h = -39*h - v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 279\/63 - (-8)\/14. Let v = -1 + 20. What is the second derivative of v*g + 7*g**5 - 3*g**k + 2*g wrt g?\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.00265 - 0.00665. Let z = v + 0.944. What is z rounded to 1 dp?\nAnswer: 18.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1079 - 1088 - 114*m - 266*m - 96*m + 48*m to the form p + q*m and give q.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -6\/18503 (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/4))**(-2\/87)*(r\/(r\/r**(2\/9)))\/(r*r\/(r*r**(-6)\/r)) assuming r is positive.\nAnswer: r**(-4069\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 701815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100 + -21aaa?\nAnswer: -220aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 140*l - 25. Let r(f) = 35*f - 6. Calculate -25*r(k) + 6*y(k).\nAnswer: -35*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or -284?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8.543675736167 + -1\nAnswer: -9.543675736167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*m = -0*v + 1, -4*v = m - 7. Suppose -h - 8 = -v*h. Solve -c = -4*i + 8 - 1, -2*c + 5*i = h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202055 at most as big as 202038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7729.\nAnswer: 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 4\/5, -0.1, 0.5, -15, 22?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2018 - 19*o**2 - 6*o**2 - 2023.\nAnswer: -25*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6230752 divided by -5\nAnswer: -6230752\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-75))\/(9\/((-180)\/8))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a kilogram in grams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*d - 61 - 103*d - 858.\nAnswer: 2*d - 919","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 934*c**2*l**2 - c**2*l - c*l**2 + c + 1338*l**2 wrt c?\nAnswer: 1868*c*l**2 - 2*c*l - l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-855)\/90?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eovqbqx. Give prob of picking 1 o, 1 b, 1 v, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99254676.\nAnswer: 2, 3, 1019, 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125526 is divided by 1985.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1819440 rounded to the nearest 10000?\nAnswer: -1820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 9:52 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.084636 to three decimal places.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + 5 + 5.\nAnswer: 10 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1965\/323 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**3 + 2*s**2 - 60*s**3 + 29*s**3 + 25*s**3 - 2*s - 10 to the form k*s**2 + i*s + p + q*s**3 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q. Let b(m) be the first derivative of 53*m**6\/90 - 167*m**3\/3 - 262. Let o(a) be the third derivative of b(a). What is v(o(f))?\nAnswer: -636*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 222 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1646.44054 to one decimal place.\nAnswer: 1646.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**2 - 1082*o - 34596. Let i be (27\/(-18) + -7)*2. Let q(u) = 3*u**2 - 360*u - 11532. Let n(p) = i*q(p) + 6*h(p). Factor n(m).\nAnswer: -3*(m + 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 110000000?\nAnswer: -101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l + 17 = -2*r, -5 = 5*l + 5*r. Suppose -l*y + 3*h = -36, 3*y = -h - 11 + 47. List the prime factors of -4*((-27)\/y)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeddedecciiepelpid. Give prob of sequence il.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 0 + 1 - i - 2*i**2 + i**2 - 2. Determine z(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 (base 10) in base 13?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15b - 21323?\nAnswer: -21480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 414 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 456*l + 21016. Determine a(-46).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 19*b**3\/3 + 338*b. Let u(l) = -2*l - 73. Calculate q(u(a)).\nAnswer: -76*a - 2774","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13756.302 minutes?\nAnswer: 229.2717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {l: 4, s: 4, n: 3, q: 4, m: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10639440 a multiple of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 25. Which is smaller: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 3*r, 2*l - 4*r - 48 = 0. Let q = l - 11. Suppose -5*m = a - 19, 6*a - a - 115 = -q*m. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r - 4 = 0. What is the third derivative of 13*o**4 + o**r - 13*o**4 - 2*o**5 wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2053 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-3)*((-27)\/24)\/(((-168)\/32)\/21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 - 284. Let s = -73 - n. Sort -10, -5, -3, s in descending order.\nAnswer: s, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**(-4\/5))*u*(u\/(u*u**(5\/2)))\/u)\/((u\/(u*u*u*u**0))\/(u*u**(2\/11))) assuming u is positive.\nAnswer: u**(97\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16897 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*h - b, 0*h - 3*b = h + 12. Suppose 252 + 45 = -h*k. Let l be k\/(-6) + ((-30)\/(-4))\/(-5). What is the greatest common divisor of 75 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 2*w - 11. Let l be j(0). Let p be 6\/4 + l\/10. What is the second smallest value in -2, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*l - 62*l - 69*l - 65*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/21221736 and -61\/5.\nAnswer: 106108680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*z - 580025*g**2 - 573767*g*z**2 - g*z with respect to z.\nAnswer: 2*g**2 - 1147534*g*z - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + (5\/25)\/(1\/(-5)). Calculate the greatest common factor of q and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-63) + -93*(2008\/(-168) + 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/93, 2093, -19\/2, -3\/7?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -9, -3, -0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22854 (b) -44 (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50584961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*g - 34 = 0, 5*b - 7*g + 3*g = -25. Let m(z) = 27*z**2 - 4*z - 20. Is m(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16803 and 18670.\nAnswer: 168030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*z + 2*z. Let n(d) = d**3 - 9*d**2 + 10*d - 11. Let m be n(z). Suppose -b + 48 = m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*h + 2 = -3*h, 0 = -5*l - 5*h - 10. Suppose 7479 = 5*a - 2*c, 6*a - 3*a + 2*c - 4497 = l. What is a rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/450*(0 + -3). Let p = 1 - 4. Put p, -1\/2, t in descending order.\nAnswer: t, -1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56 and -15.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 27, -5.498, 2\/13?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152265.\nAnswer: 3, 5, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2617349983 to the nearest integer?\nAnswer: 51160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178472, 355886, 533300, 710714, 888128?\nAnswer: 1065542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122496 is divided by 5833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -108, -0.1, 2\/9, 24\/215 in decreasing order.\nAnswer: 4, 2\/9, 24\/215, -0.1, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -773*g - 7547. Let z(u) = 193*u + 1886. Let m(n) = 2*r(n) + 9*z(n). Differentiate m(l) wrt l.\nAnswer: 191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -93198, 43 in descending order.\nAnswer: 43, 3, 2, -93198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -x - 10, -9*x - 5*w - 727 = -797. Let k(y) = y**3 + 4*y**2 - 5*y - 5. Let f(p) = p**2 + p - 1. Determine x*f(g) - k(g).\nAnswer: -g**3 + g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141305\/18 + 7853. Let x = -54\/7 - -8. Find the common denominator of x and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62614*u**2 + 63039*u**2 - 3*u + 128*u**6 + 3*u wrt u?\nAnswer: 15360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i. Suppose 3*o + 27 = w - 2*o, -3*o = -5*w + 25. Let u(c) be the second derivative of 0 - 2*c + 0*c**w + 1\/3*c**3. Determine a(u(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.4, -3.8, -2\/1099, 0.05 in descending order.\nAnswer: 0.5, 0.4, 0.05, -2\/1099, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 31 = -0*d + v, -4*d + 5*v + 11 = 0. Let c = 5 - d. Sort -2, 5, c in increasing order.\nAnswer: c, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-26) + -2 + 0\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 5)\/(2\/(-2)). Suppose 2*j + 142 = o*a, 5*j - 9 = -4. What are the prime factors of (a\/10)\/(14\/35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1015 - 934. Is z >= 573\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13094, -26264, -39434?\nAnswer: -52604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine quarters of a litre in millilitres?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*z + 33 + 59 = 53*z. Let f(q) = 68*q + 5. Give f(z).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1930862*f + 965177*f + 965695*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 8*s + 0*s = -0*s - 4*s + 108, 13*y + 3*s = -121 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d. Let o(m) = 6283*m + 15. Give o(f(j)).\nAnswer: -12566*j + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13000322203 (base 4) to base 5.\nAnswer: -432320010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47\/11 or 5?\nAnswer: 47\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-18) + 15\/(-9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -657, -1313, -1971, -2631, -3293?\nAnswer: -3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5 - 10*v**3 - 6 + 8*v**2 - 2*v + 9*v**3 - 9. Suppose 0 = -2*n - 0 + 14. Does 19 divide f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/176 + (-11)\/((-484)\/96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34181145.\nAnswer: 3, 5, 759581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -8 (b) -0.2 (c) -2\/5 (d) -114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, h: 4}. Give prob of sequence hhp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 13*c - 37. Let n be i(15). Let w = n - -10. Find the second derivative of -7*v**w - 6*v + 9*v - 8*v wrt v.\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6 and 2\/(-3) - 7\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p**2 + 165*p + 239. Calculate t(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1772994*s**2 + s - 4042.\nAnswer: -3545988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 156*k + 164. Let z be l(9). Let j = -913 + z. What are the prime factors of j?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-3 - (-4 + 7)). Let x(c) = c + 13 - 10 - j. Let p = 12 + -17. What is x(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2060900, 8243588, 18548070, 32974346, 51522416, 74192280, 100983938?\nAnswer: 131897390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 9:49 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 + 134. Let m(z) = -2*z**2 - z**2 + 4*z**2 - 2 - 3*z. Calculate the smallest common multiple of m(q) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 258, 496, 702, 870, 994, 1068, 1086, 1042?\n\"Answer: -n**3 - 10*n**2 + 275*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-15)*(-330)\/(-44).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/5 - 48*f**4\/5 + 214*f**3\/5 - 276*f**2\/5 + 112*f\/5 = 0. What is f?\nAnswer: -28, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*p + 32 = -56*p. Solve -p*o + 60 = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 34376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-22))\/(10\/((-3740)\/(-102)))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 1, -528, 894 in decreasing order.\nAnswer: 894, 128, 1, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35\/68 + 4\/17. Suppose -9 + 25 = 8*a. What is the nearest to 0 in f, a, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 51 = 6. Which is smaller: w or 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (1 - -2 - ((10 - 0) + -11))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 17*g**2 - 26*g + 83. Determine b(18).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (44\/66)\/(3*(-4)\/306). Which is the nearest to -1\/4? (a) 0 (b) -3 (c) 0.1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 9*q - 5. Let i be o(11). Let k = -24 - i. Let p be 0 - 0\/(5 - k). Is -0.02 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 19*w - 1\/2*w**4 + 0*w**3 + 0*w**2 + 0. Suppose 2*z = -2*k - 12, 26 + 1 = -2*z - 5*k. Calculate y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2631275 divided by -5?\nAnswer: 526255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3780 is divided by 281.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/59, -1\/4, -5\/2, 0.3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5839.094066133 and 67.\nAnswer: 5906.094066133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b*c**3*q**2 - 21*b*c**3*w - 2*b*c**2*q + 2*b*c*q**2*w + b*c + 2*c**3*q**2 + 327*c**2*q**2*w - q**2*w wrt c?\nAnswer: -18*b*q**2 - 126*b*w + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7477, 2, -4, 84.\nAnswer: -7477, -4, 2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24330*m**3 + m**2 + 10546*m - 3 wrt m?\nAnswer: 145980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r. Suppose 4 = l - r. Suppose -l*u + 12 = 4. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43432 + 43434. Let p(c) = -c**3 + 8*c**2 + 4*c. Let v be p(5). Solve f*r = -87 + v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p = 4*v + 434, -3*v - 326 = -p. Let n = v - -106. Let z be (-7)\/(-2) - (-2)\/4. Sort -1, -5, z, n in decreasing order.\nAnswer: z, -1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10440 - -10440. What is the closest to o in -3\/4, 0.3, 1613?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 57*m**3 - 7*m**2 + 6*m + 6. Let g(h) = 115*h**3 - 15*h**2 + 13*h + 13. What is -6*g(f) + 13*t(f)?\nAnswer: 51*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvzvzzzvvzzvvvvyvv. Give prob of picking 3 z.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -9. Suppose 0 = 14*s - b*s. Suppose -t = 2*p - 2, s*t - 3*t - 16 = -5*p. Solve 3*l - 3*c = 12, -5*l - 2*c = -p*l + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:31 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5949171325 to the power of 1\/2, to the nearest integer?\nAnswer: 77131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-3)\/108)\/(((-114)\/(-19))\/(-36))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05171423 to 3 decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 379651326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -330021133 (base 4) in base 10?\nAnswer: -246367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by 926.\nAnswer: -117\/926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-14))\/((-15)\/(-105)). Let g(u) = 3*u**3 - 4*u**2 - 1. Let w(q) = 16*q**3 - 21*q**2 - 4. Give j*w(l) - 11*g(l).\nAnswer: -l**3 + 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from keekekeeekkkke.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 11*l + 5. Let a(g) = -2*g**2 + 11*g + 6. Let r be (-2)\/5 + 108\/45. Let p(s) = r*a(s) - 3*c(s). What is the tens digit of p(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p = 0. Suppose p = -3*u + 6, -3*u + 6*u = 4*t - 302. Let m = 9 - -2. What is the greatest common factor of m and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**6\/15 - l**5\/60 + 137*l**3\/2 + 112*l**2. What is the derivative of z(s) wrt s?\nAnswer: -24*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 3*j - 10, 6*j - j = -5*i + 10. Let y(p) = -3 + p**3 - i*p + 3*p - 4 - 8*p**2. Let u be y(8). Which is greater: u or 2\/29?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - -114. Let d = f + -229.3. What is d rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**5\/60 + y**4\/8 - 3*y**3\/2 - 5*y**2. Let p be w(6). Let u = p - 17. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3139*k + 242 = -3128*k. Solve 4*u = -b + 7, 4*b - 26*u = -k*u + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -36*f + 69. Calculate x(11).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 212?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 s when three letters picked without replacement from {b: 3, s: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 + -4 - -8 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i**2 - 287*i + 48. Give f(28).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/20012005 and 8\/145225.\nAnswer: 100060025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8432551.37463 - -5?\nAnswer: 8432556.37463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -29. Let v be 188\/(-60) + (-3)\/3*m. Let p = 0.238 + -0.538. What is the third smallest value in 0.7, p, v?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b3d - 4?\nAnswer: -4b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*16\/12*(-1)\/4. Solve 5*w - 3*i - 11 = 0, d*i + 12 = 3*w + w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -1, 0, 3 in decreasing order.\nAnswer: 5, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-42))\/(8\/12)*2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d9 (base 16) to base 5.\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-43 - -10) - ((14 - 15) + 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1852 and 9.915.\nAnswer: 1.836258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-546)\/1365)\/(2\/(-35))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-4 - -6) + 28. Calculate the highest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 326 - 323. Let o = 1.17 + -0.87. What is the second smallest value in o, -48, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.803676 years in millennia?\nAnswer: 0.007803676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 463*s**5\/12 - 1879*s**2. Let m(j) = j**2. Calculate m(c(n)).\nAnswer: 5359225*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 3. Let n = f - 5.6. Let s = -1.9 - -2. What is the second biggest value in 3, n, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 53, 155, 349, 665, 1133, 1783, 2645?\n\"Answer: 5*j**3 + j**2 + 2*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4518 - 3381 = -627*x - 2256 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 23*j + 248. What is h(-31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**5 - 1132*z**4 - 181296*z**3 + 1369052*z**2 + 7787534*z + 6238320 = 0?\nAnswer: -136, -3, -1, 11, 695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2057b + -1?\nAnswer: -2057c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + 14*f**4 - 7736 - f**2 + 7739 - 128*f**4 to z*f + y*f**2 + h + v*f**3 + b*f**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54663812, 54663811, 54663810, 54663809, 54663808?\nAnswer: 54663807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/p)**(12\/5)\/(p**(-3))**(4\/9) assuming p is positive.\nAnswer: p**(-124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 186630046 and 68272.\nAnswer: 1493040368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 9:55 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1 + 5*a)*(3*a + 4 - 4).\nAnswer: 15*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 186, 172, 142, 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000010101010011 (base 2) in base 3?\nAnswer: -12001201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 6. Let i be y(-11). Suppose 2*b = i - 12. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 1403 - 411. Let z = -7279\/8 - u. Find the common denominator of z and 42.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4022.\nAnswer: -1\/4022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.6 - -7. Let k = m + 3. Let q = 4006.6 + -4011.6. Put k, 1, q in ascending order.\nAnswer: q, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6823 + 6824. Which is the biggest value? (a) -2\/9 (b) j (c) 56\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 3 (c) -2 (d) 6863957\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*t**3 + 220*t**2 + 900*t + 720.\nAnswer: -5*(t - 12)*(t + 2)*(5*t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/12, -1\/5, 2, 24?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1579007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohojjhhhhohjjjhjh. What is prob of picking 3 o?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 0 (c) -6 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 779257423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**3 + 12503*u**2 - 2*u + 429.\nAnswer: 12*u + 25006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d, 5*h + d - 5*d = 1335. Let m = h - 161. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**3 + 48*z**2 + 57*z - 15. Let o(c) = c**3 + 7*c**2 + 8*c - 2. Let n(d) = -15*o(d) + 2*x(d). Factor n(r).\nAnswer: -3*r*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -370a (base 13) to base 8.\nAnswer: -17150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 + 1956*d - 5853. Determine j(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**6\/51 + d**5\/170 + 5*d**4\/102 - d**3\/51 + 3*d. Suppose m(c) = 0. What is c?\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = -4*x, 5*x - 58 = -3*d. Suppose 0 = -6*w - d*w + 2822. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18408 is divided by 194.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 2 - 124\/468. Let q = -19\/9 - t. Let z = 623\/282 + -145\/94. Sort q, -0.1, z in increasing order.\nAnswer: -0.1, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299649238?\nAnswer: 2, 7, 41, 522037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 22*x**2 + 104*x - 105. Determine a(16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide (-294)\/((-3)\/1 + 232\/87)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 0.5 (c) -9 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -544, -4, 8, 4 in descending order.\nAnswer: 8, 4, -4, -544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51246, 410016, 1383812, 3280146, 6406530, 11070476, 17579496, 26241102?\nAnswer: 37362806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 2 (c) 0.262 (d) 0.1 (e) -783 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)\/s**(-1\/6))\/(s**(-3)\/s**5)*(s\/(s**(-1\/2)*s)*s)**(-3\/25)\/(s\/s**(-3\/7)*s*(s*s**6)\/s) assuming s is positive.\nAnswer: s**(-989\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**4 - 1520*h**3 - 4495*h**2 + 6020*h = 0. Calculate h.\nAnswer: -301, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/13 - 26570832*w + 1147264808904864.\nAnswer: 2*(w - 86355204)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -39*z - 159. Let i be x(-7). Calculate the greatest common factor of i and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107337?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/438 and 45\/28.\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 3 - 3\/(-25). Let k be ((-8)\/24)\/(14\/6). Let o = -2589 + 15533\/6. What is the third smallest value in k, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/986 and (3\/(-45))\/((-136)\/8382) + -4.\nAnswer: 9860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1302.487 kilograms?\nAnswer: 1302487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2368409597 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i + 76. Let w(t) = -45. Let g(m) = 2*m + 630. Let n(h) = -g(h) - 14*w(h). What is n(p(l))?\nAnswer: 18*l - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + c - 20. Determine d so that -3*d - 6*d**2 + 0 - d + c*d**2 - 2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452650400 divided by 28290650?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-4 - -2) + 3) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 248 = -26*b - 3*s + 213, 5 = s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54*(-16120)\/32240*(-4)\/10*(-2)\/(-4).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63 - 45*j - 7 + 449*j + 159 wrt j.\nAnswer: 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b - 40 + 115 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85\/20*-6*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcfcibvbvqc. What is prob of sequence vvf?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 2, 2\/3, 0.4, -79?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-71)\/(-6) + (-14)\/(98\/91))*42\/4?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 11 - 12)*(-12*i + 5993 - 5993) + (3 + 1 - 2)*(2*i + i - i).\nAnswer: 400*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 557512830 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 182 - 162 - (51 + -5).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30997070?\nAnswer: 2, 5, 13, 238439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*i**2 + 2*i**3 + 312*i**2 - 164*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2926 times -0.1\nAnswer: -292.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.67 - -1.6. Let m = 1.07 + d. Is m < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -354375 >= 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42224032040 - 5?\nAnswer: 42224032031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 350916257*b**6 + 792*b**2 + b + 30633 wrt b.\nAnswer: 42109950840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(3)))**2 + sqrt(3) - -1*1*sqrt(3).\nAnswer: -62*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8 + 2. Let j be (-1)\/i*5*-2. Solve 15 = j*y - 10*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 5. Determine a(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -33, -135, -341, -687, -1209?\nAnswer: -1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4140785 or -4140783?\nAnswer: -4140785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16870310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 374*b**2 - 434*b + 7. Give z(4).\nAnswer: 4255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2 - 2*l**2 - 1 + 5*l - 8*l + l = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67180175 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b - 20*r = 43*b - 200, 4*b + 7*r - 4*r - 30 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/4*25\/(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 9, 4, 4017, 5, -2 in ascending order.\nAnswer: -7, -2, 4, 5, 9, 4017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*c = 1, -2*a + 3*c + 19 = 2*a. Suppose o - a - 8 = 0. Let q be 6\/(0 + 5\/(-40)*-12). Solve o = -q*f - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -271367818.1 and -4.\nAnswer: -271367822.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w + 23 + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8*10000)\/((-1)\/(-210)). What is f rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t**2 + 196988649*t + 110432214.\nAnswer: 4*t + 196988649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.04 (c) 0 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.105 - -0.045. Which is the nearest to t? (a) -0.4 (b) 3\/2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*5.93004.\nAnswer: -29.6502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.1 - -18. What is the nearest to 0.03 in x, -3, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*1 + 1.\nAnswer: 1 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 13*t - 18. Let g be r(9). Let l be -15*(60\/g - 3). Let y(p) = -8*p**2 + 8*p + 5. Let d(m) = -7*m**2 + 7*m + 4. Determine l*y(x) + 6*d(x).\nAnswer: -2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2 = -w. Factor 8 + o**2 - o**2 - 40*o + 18*o**w.\nAnswer: 2*(o - 2)*(9*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3*f**2 + 48*b**3*f*m + b**3*f - 31*b**2*f**2*m - b*f*m wrt f?\nAnswer: -4*b**3 - 62*b**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.43, 0.0921, 4, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - g**3 - g**3)*(5*g**2 - 2*g**2 - g**2) + g**5 + 3*g**5 - 2*g**5 - g**3 + g**3 + g**5 + 33*g**5 + 3*g**4 + 9*g - 843251 + g**2 + 843251.\nAnswer: 32*g**5 + 3*g**4 + g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-576)\/(-54) + 4\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 3) to base 13\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3122 + 3121.997797. Round a to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - -5 - (30 - -6 - 12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, h: 2, w: 2, q: 2, l: 1, s: 2}. What is prob of picking 3 f?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -5\/8*p**2 - 6*p - 845\/48*p**4 - 4 - 65\/12*p**3. Solve t(c) = 0.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**0\/(n**(1\/4)\/n**(1\/4)) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/66 and -41\/16734.\nAnswer: 184074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 1137 + 21 = 0. What is the remainder when m is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39684*t**2 + 16377*t wrt t?\nAnswer: -79368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 q, and 2 r when four letters picked without replacement from rrurrnnnqqn.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 - 9*y - 12. Give w(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 233*x**2 + 2942*x + 1753. What is v(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18583 - 12683. List the prime factors of r.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -33 (b) 3 (c) -10 (d) -0.1 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/25)\/(24\/(-40)). Which is the nearest to 3\/2? (a) i (b) 1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.53 + 0.52929. Round t to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-24)*(7 - (-625263 - 6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-60)\/18)\/(3\/(-72)). Let m = 137 - g. What are the prime factors of m?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2277*m**3 - 1338*m**2 + 232. Let j(z) = 2276*z**3 - 1338*z**2 + 174. Let l(g) = 3*i(g) - 4*j(g). Find the third derivative of l(q) wrt q.\nAnswer: -13638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.851 * 0.2\nAnswer: -0.1702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -25*c**2. Let x(n) = -8*n**2. Give i(x(g)).\nAnswer: -1600*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k = 153 + 809. Put -3, k, 1, 8 in ascending order.\nAnswer: k, -3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p**2 + 4*p + 5. Let z be m(-6). Let k = z + -151. Suppose -82 - 4*v**2 + k + 20*v = 0. What is v?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (-10 - 1272)\/(-1*(-2)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.053 - 0.053. Let d = j - 19. Which is the nearest to 0? (a) 0.11 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 21*k - 18. What is the tens digit of q(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 8 = 0, -337*a + 336*a + m = -1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234886?\nAnswer: 2, 117443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -313010323113?\nAnswer: -313010323120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1700) + (-2*sqrt(2448))**2.\nAnswer: 10*sqrt(17) + 9790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/2)*d**(-1\/5)*d**7\/d**6)**(-6) assuming d is positive.\nAnswer: d**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 2. Suppose 4*r + n = 17, 3 + 7 = 2*r + 2*n. Let s(h) be the third derivative of -h**4\/8 + h**3\/3 - 4*h**2. Determine r*l(t) - 3*s(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01 - -0.01. Let v = 3 - s. Let c = -3 + v. Put c, -0.4, -1\/3 in increasing order.\nAnswer: -0.4, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 1 + 1 + 0*u + (-7*u + 4*u + u)*(-4 + 1 + 4) as w + y*u and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70119, -76385, -82651?\nAnswer: -88917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6222 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (sqrt(252) + sqrt(252) + 1)) + 4)**2 - 2*(sqrt(252) + -1)) + 2.\nAnswer: -48*sqrt(7) + 265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -873340 divided by 174668\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19056 and 136518?\nAnswer: 433581168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 3*c**2 - 4*c + 1. Let z be s(-3). Let u = -7 + z. What is the smallest common multiple of u and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(480)*-6)\/((sqrt(90) + 2*(-1*sqrt(90) - sqrt(90)))\/(6*sqrt(54)\/sqrt(6))).\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77331 is divided by 104.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/13, -1\/2, 0, -0.3, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k = 0. Differentiate k*t - t - 2 - 2 wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - (102 + -114)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -573 + 562.936. Let q = 10 + y. Let i = q - 0.426. What is i rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/4 - 1046379\/1484) + -3. Let a = -708 - y. What is the biggest value in a, 5, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 13. Let o be 1\/2*4\/(-6). Which is the closest to o? (a) 0.2 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 4. Let g be w(-11). Let o(h) be the second derivative of 1\/2*h**5 + 2*h + 0*h**2 + 0*h**3 + 7\/15*h**6 + 1\/6*h**4 + 0 + 1\/7*h**g. Factor o(u).\nAnswer: 2*u**2*(u + 1)**2*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3087 - 3133. Which is greater: r or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.244 - -0.094. Let i = f + 2.1. Let q = 1 + i. What is the second biggest value in 0.1, q, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 6. Let b(i) = i**3 - 4*i**2 - 2*i - 6. Let a be b(5). Calculate the remainder when s is divided by a\/(-36) - 50\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:17 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2035010 - -50?\nAnswer: 2035100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 10*k**2 + 19. List the prime factors of z(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 + -4 + 2 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 35?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127335 and 293850.\nAnswer: 3820050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -155 + 164. Let s(g) = g**2 - 4*g - 1. Let z be s(4). Calculate the remainder when -68*1*z\/2 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Suppose y = -n - 3*n + 24. Is 7 a factor of 29\/2 + n\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 61*y - 876. Let q be k(73). Which is smaller: 10\/4691 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 7426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 43. Let t = i - 15. Suppose 5*u = 5*a + 700, 0 = 3*u - u + 3*a - 295. Calculate the highest common factor of t and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 2, -14, 10 in descending order.\nAnswer: 15, 10, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 135068910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-16)\/12)*6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-3\/7)*d)\/(d\/(d\/d**13)))\/(d*d\/d**(-1\/17)*(d*d*d**(1\/3)*d)\/d) assuming d is positive.\nAnswer: d**(-5342\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 13 = f - 4, 3*f - 3*u = 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-614)\/110 - (-123)\/(-205) - -6. What is the second smallest value in y, 20, 4, -0.7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**4\/6 + 2*p**3\/3 + 3*p**2\/2 + 4*p - 4. Let v(q) be the first derivative of k(q). Determine v(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -12*c. Let q(w) = -w. Let r(z) = -d(z) + 9*q(z). Let v be r(9). Let s = 543 + -525. Calculate the greatest common factor of v and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 327475\/2 - 163737. Suppose o*x**2 + 0 + 27\/4*x = 0. What is x?\nAnswer: -27\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2437978*q**3 - 1 + 2437980*q**3 - q**4 + q - 1 as v*q**4 + h*q + w*q**2 + l*q**3 + m and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*x**3 + 216*x**3 + 2*x**2 - 2*x**2.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1280?\nAnswer: 3\/1280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 4*x + 4. Suppose -42 = -3*o - 0*o. Suppose 2 + o = 4*k. Let n be q(k). Solve -5*w = 2*j - 31, -4*j = -n*w + 1 + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5148394.73 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 2) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 2106 = h. Suppose -h = 6*z - 1044. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 + 10)*(-4)\/10*-27 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171)*1)\/(-3*1*sqrt(9)) + -5.\nAnswer: -5 + sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, 22, 0, -148 in ascending order.\nAnswer: -148, -14, 0, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16360981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3342736 (base 8) to base 5.\nAnswer: -212340442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -11)\/(2\/1). Suppose t*q - 126 = -5*v, 2*q + q + 55 = 2*v. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2722*k - 63 = -2726*k + 9*g, 0 = -3*k + g + 7 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**3 + 27*v**2 + 104*v + 156. Determine d(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0*q**4 + 0*q + 3\/2*q**3 - 1\/30*q**6 + 0 + q**2 + 0*q**5. Differentiate u(c) with respect to c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*k**5 - 110*k**4 + 8863*k**3 - 9918*k**2 - 13228*k - 1768 = 0. What is k?\nAnswer: -17, -2\/3, -2\/13, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 0)*(2*n + 2*n**2 - 3*n**2 + n) to o + u*n**2 + t*n and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Let s = 1.01 + 5.99. Let v = s - o. Sort -5\/4, v, -1.\nAnswer: -5\/4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87060 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 = 2*x, -2*n + 5*x = -7*n. Let m be 4\/(-46) + n\/23. Solve m = -0*z + 3*z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 468303018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 776.5\nAnswer: -38.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = -8*h - 224 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from mmmbb.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**2 + 0*z**2 - 5*z**2)*(2*z - z + z) + (-z**3 - 3*z**3 + 3*z**3)*(-3 + 1 + 1) to the form d*z**3 + k + o*z + s*z**2 and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 348\/(-9) - (15400\/(-150))\/(-44)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 9360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 398125.93 to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, 5, -5, -6 in ascending order.\nAnswer: -21, -6, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*w = -128*w + 2981 - 9353 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g - 2*g)*(g - g - 2*g)*(-2 + 4 - 4)*(5 - 4 - 2) + 0*g**2 - g**2 + 0*g**2.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12699 - 12702. Let n(p) = 2*p**2 - 20*p + 3. Let k(f) = 4*f**2 - 39*f + 5. Calculate g*k(q) + 5*n(q).\nAnswer: -2*q**2 + 17*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {c: 2, n: 2, q: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w + 11. Let z(c) = -4*c + 4*c - 3*c + 1 + 4*c. Let r = 204 - 205. Let g(o) = r*k(o) + 4*z(o). What is g(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1013 = -3*m - 797, 4*f + m - 1431 = 0. What is the remainder when f is divided by (6\/5)\/((-51)\/(-340))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 119*o**2 + 4*o. Let v(z) = 6*z**3 + 358*z**2 - 11*z. Let r(a) = 11*c(a) + 4*v(a). What is the third derivative of r(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from pxpvpvbpxxvppp.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -404 - -413 - (6\/(-2) + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -2. Let q be (-20)\/15*(-6)\/n. Solve -3*d**2 + 3*d**3 - 4*d - 3*d**5 + 0*d**3 + 2*d**4 + q*d**5 - d**2 = 0 for d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*a + 72*a + 388 + 962 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 27621\/72 - (-9)\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 44.6.\nAnswer: -13.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrjjrrrrrrjrrr. What is prob of sequence jj?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18212*u**2 + 18766*u**2 - 82731*u**2 - 103091*u**2.\nAnswer: -148844*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1, -10\/9, -1\/4, 20\/9, -3\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + (-6)\/2*(-1003)\/714 and -2 - (-3 + 123\/(-18)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/252 and 97\/197008.\nAnswer: 1773072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*w = 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 + 15*x**2 - 14*x + 9. Let s(t) = 2*t**3 - 6 + 1 + 7*t + t**2 - 2*t**2 - 7*t**2. Let d(i) = -3*m(i) - 5*s(i). What is d(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 81546526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -599036, -599066, -599096, -599126?\nAnswer: -599156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, w: 1, p: 1, q: 1, j: 2}. Give prob of sequence jssp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 29 + 1. Is 2\/s + 588\/10 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(500) + 1)*4 - 3*sqrt(500)*2)**2.\nAnswer: -2016 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001816163 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157 by -1.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - t**4 - 2*t**4 + (-36*t**2 + 22*t - 22*t)*(3*t + t**2 - 3*t).\nAnswer: -37*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**3 - 5*w + 3*w - 4 + 27*w + 2*w**2 - 28*w - 5*w**2. Determine m(-2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -7 (b) -18\/91 (c) 2\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -4. Let o = 3 + h. Let s be 0\/2 + o\/(-18). Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 1. Suppose -3*j + 14 = 2*u - 3, 4*u + 2*j = 22. Suppose 4*k + 34*z - u = 33*z, -3*k + 3*z = -18. Which is the closest to k? (a) s (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205276 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeetttee. What is prob of picking 4 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51506145 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/10 + (-54)\/(-15). Suppose 0 = n + 4*b, -6*b = 5*n - k*b - 34. Suppose n = -5*o + 18. Solve -4*w + 0*u - 2*u + 6 = 0, -u - 1 = -o*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3193.99999489 + 3194. What is m rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 4*c**2 - 2*c + 1. Suppose 0 = -0*z - 2*z. Suppose z*y + 5*y + 5 = 0. Let v(a) = 5*a + 1. Let b be v(y). Determine p(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-532*i - 204*i - 261*i)*(i**4 + 0*i**4 - 3*i**4).\nAnswer: 1994*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*z + 26 = -z, 3*o - 2*z = -18. Let g(s) = -3*s**3 - 6*s**2 + s - 3. Is g(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 305*o - 67213*o**3 + 3 - 307*o - 66*o**2 + 20*o**2 + 67234*o**3 in the form f + l*o**2 + m*o**3 + c*o and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*((-30)\/(-8))\/5. Let u = a - -21. Solve -5*c - u = 5*d, -3*d - 10 = -4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -437*z + 116*z - 2125*z - 583*z + 245*z to r*z + l and give r.\nAnswer: -2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2. Let h(c) = -2*c + 14. Let f be h(-5). Suppose 0 = 3*a + 18 - f. Let p(r) = 2*r**2 + 12*r**a + r**2 - r**2. Determine p(t(m)).\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118.4 + 129. Let l = -11 + f. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*a - 71 + 280 = 0, 4*y + a + 427 = 0. Let r = -2474 - -2636. Let p = r + y. What is the remainder when p is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-40) + 3\/(60\/(-92)). Let b(u) = u + 1. Let c(z) = 108*z + 165. Let p(x) = v*b(x) + c(x). Find the first derivative of p(j) wrt j.\nAnswer: 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3500*y - 584119. What is q(-167)?\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddwdddddww. What is prob of sequence wwdw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -892*c**2 + 19*c - 20. Let x be y(1). What is the hundreds digit of 8 + 0 + -6 - x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7))**46 assuming z is positive.\nAnswer: z**(-322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 - 5965*z**4 - 23920*z**3 - 23940*z**2.\nAnswer: 5*z**2*(z - 1197)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1235 divided by 65.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1638, 2222, 3156, 4410, 5954, 7758, 9792?\nAnswer: 12026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:12 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-18))\/((-7)\/4))\/(50\/((-5950)\/(-51)))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 15\/6)*6. Suppose 0 = -d*y + 9, 104 - 27 = w + 2*y. Let j = 148 - w. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16326741 is divided by 8143.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 322*o - 16809 = -323*o, 4*o + 12 = 0. Calculate the greatest common divisor of 24 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161, -197, -229, -257?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -193, -289, -385?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(572)\/(sqrt(44)\/sqrt(4)))\/(sqrt(200)*-1))\/(-3*-2*sqrt(162) + (sqrt(162) + (sqrt(162) - 3*sqrt(162)*-2) + sqrt(162) - sqrt(162))).\nAnswer: -sqrt(13)\/1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 1236?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22760556 and 406987?\nAnswer: 7679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34157\/426650 - 1\/17066. Let w = 1.7 + -0.5. Let j = w - 1. Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4798, 1.1, -4.\nAnswer: -4, -0.4798, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2926554457 to the nearest one hundred thousand.\nAnswer: -2926600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*o + (-2 + 4 + 1)*(-2*o + 1 - 1) + o - 3*o - o - 4*o + o - o)*(2*o + 0*o + 5*o**3 - 3*o**3).\nAnswer: -22*o**4 - 22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {o: 2, e: 3, w: 5, d: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1428530 and 22.\nAnswer: 15713830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u*(u\/(((u**(-3\/5)\/u)\/u)\/u)*u)\/u))*u)**(2\/23) assuming u is positive.\nAnswer: u**(76\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*r + 485*r = 302*r + 2106 - 351 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h\/((h**(-1)\/h)\/h)*h*h))**(6\/11)*(h**(-3))**(3\/11) assuming h is positive.\nAnswer: h**(-51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1971, -3951, -5931, -7911?\nAnswer: -9891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31022213 (base 4) to base 2.\nAnswer: 1101001010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -1. Factor m + 0*m - 16 + m + p*m + 4*m**2.\nAnswer: 4*(m - 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 8 = -0. Let h be (-2 + (-10)\/n)*0. Suppose -u = 5*o - 152, h = -4*o - 2*u - 30 + 154. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0*z**3 - 1\/5*z**6 + 4 - 9\/20*z**5 - 14\/3*z**4 + 0*z**2 + 4*z. Find the third derivative of o(l) wrt l.\nAnswer: -144*l - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -309 - -307. Let m(t) = -t**3 - t**2 - 3*t - 1. What is m(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3. Let b = -54 + 62. Let l = b - -4. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 7. Let r(y) = -y - 1. Let n(l) = -7*l - 12. Let z(j) = n(j) - 3*r(j). Does 15 divide z(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 9 = 5*u, 3*u = -u + 4*o + 12. Solve -59*v + 61*v - 10 = u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 0, -3\/5, 2\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -774 - -891. What is the remainder when a is divided by 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -17*r + 25*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) 2 (c) 0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -7*i + 2. Is (i\/(-3))\/((-24)\/(-7236)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h + 60. Let p be v(-11). Which is the nearest to p? (a) 3 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 10*p**2 + 59*p - 11. Determine b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhhvhvhhvhvvhvvhvhvv. What is prob of picking 2 h and 2 v?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**6\/720 + y**5\/60 - y**4\/12 + y**2. Let j(u) be the second derivative of l(u). List the prime factors of j(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 789 - 447. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3162734*h**4 + h**2 - 162084*h - 3 wrt h?\nAnswer: -75905616*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(2 + 0 - 4 + q**4) + 1326 - 1326 + 89*q**4.\nAnswer: 88*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(2\/(-1))*15\/(-6)*68\/170.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2, -6.674, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*a - 16. Suppose f = 4*f - a. Suppose 7*z = f*z. Put 4, 2, z in descending order.\nAnswer: 4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1387 by 202.\nAnswer: 1387\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -138988 and 2.5?\nAnswer: 138990.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 + 183 + 243 - 317 - 109.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 67. Let r be 4\/f - 33\/(-15). Suppose -v - 4 = 0, 4*g = -v - r*v + 20. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5508 + 8589. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 1. Let u(k) = -31*k**2 + k + 1. Let h be u(-1). Let p = -17 - h. Let y = -9 + p. Determine w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Let y = 0.9 - f. Which is the nearest to y? (a) -0.5 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.3 - -4.3. What is the third biggest value in 5, m, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6196, 24950, 56206, 99964, 156224?\n\"Answer: 6251*t**2 + t - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/125584191 and -17\/83722794.\nAnswer: 251168382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5893 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*v - 6*v. Suppose -212 = -38*j + 16. Calculate the smallest common multiple of j and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/13)\/3)\/(482\/(-964))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64199618 a multiple of 4039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 3*d**2 + 2*d - 2. Let j be a(-4). Let z = -4 + j. Does 15 divide (-606)\/(-14) - z\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 - -131565?\nAnswer: 131587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.8 + -11.1. Let d = z - 11.7000835. Round d to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 51, 166, 389, 756, 1303, 2066?\n\"Answer: 6*q**3 + q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109664 by 298.\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 55398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1980805 (base 10) to base 9.\nAnswer: -3648134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -61d553 - -3e?\nAnswer: -61d514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1036049.036 to the nearest one thousand.\nAnswer: -1036000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 464 - -446. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 287499132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - 26*t + 23. Let k be j(11). Suppose 2*o + 8*o + k = 0. What is the units digit of 2\/o + (82\/10 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -306 + 96. Suppose 3160 = 45*p - 37*p. Let y = p + o. Is 29 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1570, 1572, 1578, 1588?\n\"Answer: 2*d**2 - 4*d + 1572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 0*w + w + (17 - 9 + 22)*(3 - 3 - 2*w) - 162 + 162 - 21*w to the form h*w + q and give h.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 15187.\nAnswer: 5\/15187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-3)\/12*-20. Find the common denominator of 41\/3 and 1*2\/q*-47.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133070275537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzk when three letters picked without replacement from rekkzzkzrgeb?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 9*x - 5. Let q = -147 + 139. Let l be (((-16)\/(-6))\/4)\/(q\/(-84)). Calculate s(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 28 - 329*z**2 + 104*z**2 to the form o + t*z + y*z**2 and give y.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z**2 + 0*z**2 - 4*z**2 + 9*z**2 + 11*z**2)*(-12*z**2 - 10*z**2 + 89*z**2) to the form y*z**4 + w*z + l*z**3 + p*z**2 + n and give y.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208 - -146.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*f - 54. Which is smaller: f or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-60) + (-5)\/50.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 511903, 2047983, 4608241, 8192677, 12801291, 18434083, 25091053?\nAnswer: 32772201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1\/(-9))\/(72\/((-213840)\/(-33)))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plml when four letters picked without replacement from {m: 8, d: 2, l: 5, p: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-28))\/((-1)\/(4*77\/9416))?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2. Let i(g) = -g**2 + 1. Let l(p) = -14*p**2 + 3. Let k(a) = -4*i(a) + l(a). Calculate k(y(z)).\nAnswer: -40*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12195 - -12203. What is the closest to 2\/7 in d, 0.3, -2.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 41 = -8*j, -j - 237*o + 115*o - 4 - 13 = -119*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 7257 and 0.12.\nAnswer: 7257.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2352090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-209)\/429 - 2\/(-13). Suppose 3*l = 4*l + 2*p - 6, -p = 2*l - 9. What is the closest to o in 0, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010011 - 0?\nAnswer: -11010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-2))\/((-15)\/20). Let a(o) = -58*o**3 + 4*o**2 + 2*o + 5. Let s be a(p). Is (-4)\/(-18) - s\/45 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. List the prime factors of (-160)\/(-24) + z\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101\/((-5)\/10*-4)*10?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*l - 15, 0*q + 5*l - 15 = -3*q. Suppose 3*y = r - q*y - 4985, y - 5 = 0. What is r rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -21859.2.\nAnswer: -21860.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1359128.57 + -1.599.\nAnswer: 1359126.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16228, -32456, -48684, -64912, -81140, -97368?\nAnswer: -113596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((6\/(-3))\/(306\/(-51)))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/30 and -139\/16188.\nAnswer: 80940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 112852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 + -115.96. Which is the closest to -0.1? (a) 3 (b) 6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5\/3 - 8*p**4\/3 - 4*p**3.\nAnswer: -p**3*(p + 2)*(p + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqpqqqqbddqpddbdpd. Give prob of picking 2 q.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -786821896 greater than -786821895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + -3133324413?\nAnswer: -3133324352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.198 or 13.8?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001636 rounded to six dps?\nAnswer: 0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2839*l - 14278. Calculate b(5).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 164 and -2?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 43*c + 550 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 8*i - 35. Let g = i - -12. Let n = 15 + g. What is the remainder when n is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -29, -6, 6, -3, 61 in descending order.\nAnswer: 61, 6, 5, -3, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-5)*1*3. Let k(q) = -q + 6 + 7 - 16 + 9. Determine k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/111106968 and -41\/476.\nAnswer: 111106968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/188 in 1295, 6, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(242)*1*2)**2 - (-2*sqrt(200) + -2)**2)*-5.\nAnswer: -820 + 400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/2616 and 13\/120?\nAnswer: 13080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -711 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 112015828.44 to the nearest one thousand.\nAnswer: 112016000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57*12*15\/(-270)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -27*v**4 - 6*v**3 - 20*v**2 + v - 3. Let y(k) = -k**5 - 2*k**3 - k**2 - 1. Let f(x) = -h(x) + 3*y(x). What is the third derivative of f(s) wrt s?\nAnswer: -180*s**2 + 648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -372\/5 less than -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 39*b - 4. Let l(h) = -73*h + 9. Let w(v) = -4*l(v) - 9*n(v). Let u(r) = -5*r. What is w(u(f))?\nAnswer: 295*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5638 + 5638 + 169*v**3 - 31*v**3.\nAnswer: 138*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 4*u - 166, j + 100 = 5*j - 5*u. Suppose c - 6*c + j = 0. Let n(t) = -t**2 + 8*t - 2. List the prime factors of n(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2980 is divided by 596.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2020533*z**3 + 2 + 4*z**4 - z**2 - 2*z - 2020527*z**3 + 0*z**2 as i*z**3 + w*z + t + f*z**4 + d*z**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-13) - 54\/(-1755)*-70. Let s(j) = 40*j - 12. Give s(i).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/8423500 and -11\/1600?\nAnswer: 134776000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020623664 to 6 decimal places.\nAnswer: 0.002062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 3:39 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6533785.9508 - 6535261. Let d = 1472.8491999 + i. Let y = d - -2.2. What is y rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 36 = 2*g, -80 = -2*f + 2*g - 6*g. Let u = -41 - -61. What is the remainder when f is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4927279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4577066140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*7239925.3\nAnswer: -5067947.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21630551 + 31776189. Let k = q + -22545638. What is k rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(125928\/(-165)))\/(6\/3 + 3).\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-39)*h**(1\/14)*(h*h*h\/h**5*h)\/h**(-7\/5) assuming h is positive.\nAnswer: h**(-2627\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -2\/3, 3050\/9, -10, -0.9, -1\/6?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20860 (base 9) to base 13.\nAnswer: -63a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f - 3*f)*(6 + 2*f + 6 - 10).\nAnswer: -8*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**2 - m + 541. Let f be k(0). Let q = -356 + f. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(72).\nAnswer: -4 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 1, r: 2}. What is prob of picking 1 r and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 = 1. Suppose k*w = -47 - 49. Let c = -12 - w. Calculate the remainder when c is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*f**3 - 2)*(-18 + 18 - 10*f**2) + 9*f**5 - 2 + 2.\nAnswer: -11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**1*y)*y*y\/y**5*y*y*y**(2\/3)*y*y\/(y**(-6)\/y*y*y))**(-46))**(-11\/3) assuming y is positive.\nAnswer: y**(10120\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 657 - 638. Let h(p) = 26*p + 1. What is the remainder when h(2) is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 - -75a0?\nAnswer: 7555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1067*b + 263*b + 272*b + 264*b + 270*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2028 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 6 + 75\/(-15) + -20)*(5 + -11)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i**3 - 2*i + 0*i + 5*i - 3*i + 33*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 704 by -4.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + m - m + 3*m**4 + (1 - m**2 - 1)*(0*m**2 - 2*m**2 + m**2) - 6*m**3 - 16*m**4 - 14*m**3 + 21*m**3.\nAnswer: -12*m**4 + m**3 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*j = -14, -3*t - 2*j = 2*t - 38. Suppose -a = a - t. Suppose 8 = o - 5*i, 5*i + 13 = a*o - 11. What is the greatest common divisor of o and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v**3 - 172017295*v**2 + 430043290*v - 172017320 = 0 for v.\nAnswer: -17201732, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (667\/92)\/(2\/8). Solve 63*x - d = 92*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122221012102 (base 3) to base 14.\nAnswer: -190451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -563312 by 436.\nAnswer: -1292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**2 - 7*g + 1. Let x be d(3). Solve -f - x = 3*c, -f - 3*c + 5*c = -9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*f - 1351*f = -656*f - 620 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2454.\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 10 = -921*j + 922*j, -7 = -3*l + j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 411 (c) -4\/7 (d) -43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 19 = 5*g, 1 = 5*y - 17*g + 18*g. Put 5, y, 3, -49, -4 in increasing order.\nAnswer: -49, -4, y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2 = 0, -h - 26 = -5*p - 0*h. Suppose 0 = -2*k + k + 15. Solve 0 = -p*q + 10 + k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185869500 - 0.\nAnswer: -185869500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.911973 and 5.\nAnswer: -4.559865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 3*m - 14. Let t(h) = -h**2 - 4*h - 15. Let i(d) = -2*t(d) + 3*x(d). Suppose 0 = -4*u + 5*u - 2. Suppose -u*s = 77 - 77. Determine i(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 48 = -4*i. Suppose -4 - 31 = -i*o. Solve o = -3*a - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b**3 + 2*b**2 + 5*b + 221. Let k(p) = 3*p**3 - p**2 - 2*p - 111. Let c(u) = -2*a(u) - 5*k(u). Is c(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + d - 1. Let a(c) = c**2 + 30*c - 5. Let x be a(0). Determine b(x).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/3*(-34)\/(-3). Let u = p + 238. Does 34 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/12)\/(-7)*-9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/9 and -61\/26427.\nAnswer: 79281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isiyi. What is prob of picking 1 i and 1 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3376 and 102287 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 240 = 5*h, -4*o - 23*h + 18*h + 470 = 0. Calculate the remainder when o is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011111001111100 (base 2) in base 16?\nAnswer: -13e7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3, -5 - 2 = -4*y + j. Is (y - 0)*(-4 - -8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9932790 is divided by 1046?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*w + 2390 = 3299 + 1247 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 8*i**2 - 10*i + 2. Let v be c(9). Let t = 0 - v. Let y(k) = 2*k**2 - 2*k - 1. Let l be y(-1). Solve l*f + 4 - t = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a4ba - 4?\nAnswer: a4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120002 + -3023?\nAnswer: 110313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 43eaa?\nAnswer: 43eaa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 68270, 68239, 68220, 68213, 68218?\n\"Answer: 6*n**2 - 49*n + 68313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 bigger than 51877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 0.04 (c) -4 (d) -2\/9 (e) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 31*q**2 - 4*q + 37. What is the hundreds digit of x(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 5*h + 64 = -3*h, 4*i - h + 87 = -12*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k + 0 - 6*k**2 - 7362*k**3 + 1 + 3. Let h be t(-6). Let x be -1 - (0 - h) - -3. Round x to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 5*h = -24, -g = -5*g + 5*h + 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 424*v**3 + 414*v**3 + 3*v.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9e7 (base 15) in base 6?\nAnswer: -14214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**4 + 6*o**3 - 5*o**2 + 6. Let v(t) = -3*t**4 + 17*t**3 - 15*t**2 + 17. Let b(r) = -17*k(r) + 6*v(r). What is the third derivative of b(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 - 12*r**2\/5 + 6*r + 40.\nAnswer: -2*(r - 4)*(r + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 84 = -3*o. Let y be 4\/14 + 99\/o. Let a be ((-2)\/(1 - 3))\/1. Solve 10 = 2*m, -m - a = -y*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 322612099 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -227 + 5\/4*p**4 + 0*p**2 + 0*p - 99*p**3 - p**5. Find the third derivative of g(q) wrt q.\nAnswer: -120*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 87*t + 56*t + 18*t + 2119 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 70. Which is the smallest value? (a) g (b) 3\/2 (c) -0.2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319062 and 492?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -2 - ((17 - -25) + -17) - -123?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1609652000 to the nearest one million.\nAnswer: 1610000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 9*v + 60. Let n be b(13). Let p(q) = -q**2 + 7*q + 7. Let k be p(n). Is 14\/29 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9778\/77 - -1400\/11. Find u, given that n*u**2 + 2\/7*u + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/((-4)\/(-72)). Let m = s - 16. List the prime factors of ((-36)\/14)\/(4\/m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 696 and 184368.\nAnswer: 5346672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/16? (a) 0.11 (b) 0.02 (c) -6\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. Let h = 0.5 - -1.5. Let u = h + -1. Which is the second biggest value? (a) -0.1 (b) n (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4)\/o)**(-25) assuming o is positive.\nAnswer: o**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16672, 33346, 50020?\nAnswer: 66694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 114016690 to the power of 1\/3, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 80*k + 1904 = -65*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4459467 - 16500027783\/3700. Find the common denominator of -33\/740 and q.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66902*o - 27876*o - 765360*o.\nAnswer: -860138*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86025 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 + 2 - 2) + (129 - (47 + 68))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 48259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18146 + -13?\nAnswer: -18159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5991 - 3816268\/637. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21674 divided by -3?\nAnswer: -21674\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u**2 - 100*u - 144. Let n(i) = 4*i**2 + 34*i + 48. Let r(t) = -8*n(t) - 3*s(t). Factor r(k).\nAnswer: 4*(k + 3)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:55 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-1*(-25)\/10. What is the common denominator of 58\/5 and q\/(-135)*-6*-5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139 - 5739.58\nAnswer: -5600.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 41. Suppose 0*n = -n - 4*f + 109, -170 = -2*n + c*f. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3 - 1. Is 5 a factor of -2*1\/(z\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 73*u + 24*u - 184 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 894 + 5740?\nAnswer: 6414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18059901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59517\/5835 - 1262\/110?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4163322292 and 0.15?\nAnswer: 4163322292.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29339 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 150931? (a) 0.5 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1282*f - 19. Let i be k(2). Let t = 17847\/7 - i. Are 4 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 196.9?\nAnswer: -984.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4*-1)\/((-465)\/558)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2. Let p(q) = -1. Let z(r) = r**2 - 1. Let n(s) = p(s) - z(s). Give g(n(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3 - (-11)\/33.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 5*l**2 + l - 3. Let i be w(5). Suppose i*g - 35 = g. Let y = g + -16. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28297659 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.2 (b) -1\/27 (c) 58905 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/21 and -43\/609.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5653948 greater than -5653943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 41269, -22, 0.4, -0.3 in increasing order.\nAnswer: -22, -0.3, 0.4, 1, 41269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4628 divide 122012592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9746 + 4?\nAnswer: -9742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*1*(-2)\/(-5). Suppose 0 = -5*d - 2*p + 19, z*d - 3*p + 8 - 27 = 0. Suppose -d*l = -17 + 2. Let u(k) = k**2 - 2*k + 4. Give u(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/13 - 55480*c**2\/13 - 393369856*c\/13 - 118827972608\/13.\nAnswer: -2*(c + 316)*(c + 13712)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 2\/1689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1716 + -598. Does 27 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12*u**2 - 5*u + 6. Give w(2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -0.222415.\nAnswer: -0.622415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.89406 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 0.1593389.\nAnswer: -0.9560334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**4\/24 + 2*s**2. Let f(l) = 9*l - 6. Let y(t) = 0*t + 1 - 2*t + t. Let n(a) = f(a) + 6*y(a). What is j(n(c))?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 12 = 6*w - 3*w + 1, 74 = 2*k + 19*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -45, -46?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -588270696 divided by 52.\nAnswer: -11312898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*n - 2*j, -3*j = 2*n + j + 2. Suppose -n*u + 6 = 5*l, -u - 15 = -0*l - 4*l. Sort u, 4, -4 in ascending order.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 - -12949.9?\nAnswer: 12951.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*d**2 - 3*d**3 + 2*d**3 + 2*d**3 + 35*d - 3*d**3 - 36*d as s*d + w*d**2 + k + t*d**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -488 - -488. Suppose n = 6*j + 20*j - 52. Solve 2*w - 4*a - 4 = j, 0 = 2*a - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305 - 15 - 155 = -74*m - 31 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1616 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(204) + sqrt(204)*-2)\/sqrt(12) + sqrt(17) + sqrt(17))**2.\nAnswer: 6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5502 - -5502.1. Let t = 2.8 + -3. What is the closest to t in -2\/5, l, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13850810 != 13850808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + p - 2 - 19, -5*k - 35 = -p. Let n = 6 - k. What is the remainder when n is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 0 + 203\/24*p**4 + 0*p + 0*p**5 + 233*p**2 + 0*p**3 + 7\/4*p**6. What is the second derivative of q(o) wrt o?\nAnswer: 1260*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.584 - -0.084. What is the smallest value in -3\/8, g, -0.3, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7300209 divided by -347629.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4\/11 + 666*s**3\/11 + 13014*s**2\/11 - 28034*s\/11 + 14352\/11 = 0.\nAnswer: -312, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -4396*b + 4402*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*s - 4*q, 0 = 4*s + q + q - 28. Suppose s*o = 4*o + 20. What is the third derivative of 64*r**6 - 50*r**6 + o*r**2 - 19*r**2 wrt r?\nAnswer: 1680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669977581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21963766 - -3.\nAnswer: 3.21963766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 13308366*l - 26616724.\nAnswer: -2*(l - 6654181)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + 0.6. Let u = -0.6 - z. Let s = u - -0.1. Sort -1\/4, 1\/2, s.\nAnswer: -1\/4, s, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 2.5455.\nAnswer: -2.6455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/3)\/1 - -7. Let r = 288 + -277. Let h(g) = -5*g + 57. Let d be h(r). Solve p = d*l - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 1:56 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 774 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - -2) + -5 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 - 59 = 2*n. Suppose -4*u - 3*l = -72, 18 = u - l - l. Calculate the remainder when n is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.56 - 9.451. Let o = -8 - j. What is o rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*3\/(-3))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*k + 8*k. Let f be (-8)\/(-24) - 51\/(-9). Suppose -f = 2*q - 22. Calculate the highest common factor of q and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, v: 2, x: 3, a: 1, j: 1}. What is prob of sequence je?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48073114 is divided by 205?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215586150 and 7800.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -34*x + 188. What are the prime factors of p(-30)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 5, -2.6, -11\/5 in increasing order.\nAnswer: -4, -2.6, -11\/5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*v + 26, 7*r - 3*r + 2*v = -14. Suppose 4*j + 5 + 7 = 0. Let w = j - r. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -516 + 527. Let j(v) be the first derivative of -5\/14*v**2 + 2\/7*v - 9\/28*v**4 + k - 16\/21*v**3. Factor j(n).\nAnswer: -(n + 1)**2*(9*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1154*i**3 - 975*i + 7290 - 7290 wrt i.\nAnswer: -6924*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 2. Let m be (-2)\/t + -7 + 7. What is the closest to 0.2 in 2, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-2\/21)*(p*p*p**(-3\/5))\/p assuming p is positive.\nAnswer: p**(157\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Let r = -6 + v. Sort 5, 4, r in increasing order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 3:54 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -1\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1438 + 122 = 0. Calculate the greatest common factor of 65 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2352 + 2353. Which is smaller: c or -9\/473?\nAnswer: -9\/473","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*q + 154. Let w = 37 - q. Suppose -p = 3*p + n - 57, 4*p = -w*n + 67. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 1 + (-14 - -13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23475 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3118422 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, -16, -17, -18?\n\"Answer: -l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 561, 911, 1317, 1797?\nAnswer: 2369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 119*j + 32 = -106*j + 226*j, -4*j = 2*w - 128 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -0.9. Let y = v + -1.1. Do -3 and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aahv when four letters picked without replacement from aqaqvhvhhqaqq.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7407 less than -146?\nAnswer: -7553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + 25. Suppose -2*q = -7*q + p. Calculate the greatest common factor of q and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 3*d**2 - d**2. Suppose 7 = 2*l + 3*s, -2*s - s + 3 = 0. Let r(m) = -3*m**2 + 5*m**2 - m**l. Give t(r(b)).\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2819*a = -2799*a - 11 - 89 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 716 and -8.\nAnswer: -5728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(5*3\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9480, -10219, -10716, -10851, -10504, -9555, -7884?\n\"Answer: 20*x**3 + x**2 - 882*x - 8619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 4 + -2 + 3. Suppose -w*p + 1 = -4*p. Is p > -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 12:13 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29493 or -29495?\nAnswer: -29493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(98)*2)\/sqrt(7))\/(1*sqrt(72)))*5*3.\nAnswer: -45 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, l: 2, h: 10, v: 2, c: 1}. What is prob of picking 1 h and 2 s?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -244 + -5?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5 + 10. Calculate the least common multiple of 23 and j.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/3)*u*(u\/(u*u\/(u\/u**2)*u*u))\/u*u)**(7\/4)\/((u**(-2\/3)*u)\/u**(1\/8)*(u\/(u\/(u*u**0)*u))**(-18\/5)) assuming u is positive.\nAnswer: u**(-67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/7 and ((-3)\/12)\/((-232)\/(-432)).\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16765088 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5204372 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.20319 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 4. Let q(o) = -4*o**2 - 6*o - 15. Let s(m) = m**2 + 1. Let l(z) = -q(z) - 5*s(z). What is the units digit of l(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1641 (base 9) to base 2.\nAnswer: 10011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4375 - 4379. What is the nearest to -121 in -2, f, 2, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98.16+-0.064\nAnswer: -98.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*i**2 + 11*i**2 + 14*i**2)*(3 + 0 - 1)*(1 + 1 - 1)*(-1 + 3 - 6).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-10) + 112\/(-35). Let v be 6298\/h - (-4)\/(-6). What is v rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2) + -1 + 3 - sqrt(2)) + 1 + 3*(sqrt(2)*2)**2 + 5)*6.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196949?\nAnswer: 23, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 6.8. Let s = n - -0.2. Which is the nearest to 1? (a) s (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((184\/(-60))\/(10\/(-15)))\/(52\/(7540\/(-87))).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*m = 351, 0 = -79*d + 84*d + m - 1707. Calculate the highest common divisor of d and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -450466*h**2 + 713964*h?\nAnswer: -900932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o + 123 = -3*v, 155*v = 157*v - 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.4534361?\nAnswer: -0.9068722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12001112120 - 11100010?\nAnswer: 11220012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -2 - (-8)\/2. Let s be (-1)\/(-5) - (i - 3). What is the closest to 1 in -2, s, -2\/15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000044793582 to seven dps.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17819\/14 - 1279. Let k = 35\/59 - -395\/826. Calculate the common denominator of k and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230 - 169*q**2 - 5*q - 478 + 248 - 6*q - 4*q + 167*q**2.\nAnswer: -2*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -30, 15, 4 in descending order.\nAnswer: 15, 4, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -75\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 - -58. Suppose x*q = 51 + 11. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 6. Let a be 14\/3 - (-10)\/(-15). Let r be k(a). Solve w - r = -1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c - 8*c - 12*c**3 + (-c**2 + c**2 - c**2)*(-c + c + 3*c) - 4*c**3 + 3*c**3 - c**3 + 2 + 2*c**3 - 4 + 1.\nAnswer: -15*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19988\/8757 - -4\/1251. Let -t*q**5 + 72\/7*q**4 - 3\/7*q**2 - 73\/7*q**3 + 17\/7*q + 3\/7 = 0. Calculate q.\nAnswer: -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = a + 536 + 146, 3*a - 1369 = 2*k. Let h = k + 686. Solve -10 = -4*q + x + 2, -h*q + 22 = -4*x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r + 5*a + 50 = 25*r, 6*r - 3*a + 51 = 0. Put -3, -11, 2, 4, r in decreasing order.\nAnswer: 4, 2, -3, r, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -70595*n + 3303. Is g(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.02122635 less than 11?\nAnswer: 14.02122635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -435203a (base 11) to base 10.\nAnswer: -7645307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 527346.9 millilitres in litres?\nAnswer: 527.3469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*j, -4*j = -7*r + 2*r + 33. Sort -5, 3\/4, r, 2\/3 in decreasing order.\nAnswer: r, 3\/4, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) 0.12 (c) -3 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38109?\nAnswer: 3, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 13*s - 35. Let w be m(9). Let i = 1 - 0.5. Which is the nearest to 2\/7? (a) -1\/15 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3395, 6776, 10157?\n\"Answer: 3381*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**3 + d - 3005429659*d**2 - 18 + 3005429659*d**2 + 18.\nAnswer: 5*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/20 + 5*z**4\/6 + 11*z**3\/6 + z**2 + 4*z. Let n be o(11). What is the units digit of 3 - -10 - 4\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 2*b**2 + 9. Let z(p) = -3*p**3 + 5*p**2 - p - 19. Let r(c) = -7*h(c) - 3*z(c). Calculate the remainder when 25 is divided by r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - (-7 + 5 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-58 - -8)*16\/(-10). Suppose 0 = -3*p - j + b, -4*p + 19 = 4*j - 77. Calculate the highest common factor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7716?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = 5*q. Let d(r) = 15*r - 146. Let j be d(10). Sort q, 3, j.\nAnswer: q, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 5*p, -3*k - 336*p = -339*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b - 3*a = -21, 4*b - 16 = -a. Sort 367, 0, b.\nAnswer: 0, b, 367","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d. Suppose 0 = 8*v + 3975 - 3999. Let g(t) = -3*t - 1. Give v*g(i) + 2*b(i).\nAnswer: -3*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from ujjitujjjujjui?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021202020020 - -2?\nAnswer: -1021202020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2. Let v(c) be the second derivative of -c**5\/20 + c**4\/3 + c**3 + c. What are the prime factors of v(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 3*s - 1 - 1 - 124*s + 500*s - 221*s + (s - 3*s + 3*s)*(0 + 13 - 2))*(-s**4 + s - s).\nAnswer: -167*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 1. Let l be k(-1). Factor -20*a - 19 + 9 - 10 - 5*a**l.\nAnswer: -5*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300\/250*(-245)\/(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*l = -842 + 4926, 0 = -4*h + l + 4064. Suppose -3*o = -6 - 6. Is 14 a factor of (-1)\/o + h\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 13*x + 5*r, 2*x = -2*r + 4. Let v = 0.4 + -0.3. Let l = -3 + 4. Which is the nearest to l? (a) 0.4 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4839 and 1455?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -837*g = -804*g - 93720. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r - 9*r + 4*r)*(2*r - 5*r - r) - 2*r**2 + 0*r**2 - 2*r**2 + 3*r**2 - r**2 - r**2)*(0 + 4 - 2).\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-10))\/(42\/56)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12337727717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 12 (c) 2832\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*t = -3, -5*t - 12 = -3*o + 7*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*a - 44. Let d = 14 - a. What is the units digit of 2\/(-11) + 340\/d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 7*c**2 + 6*c - 8. Suppose -17*n - 4*n - 126 = 0. Calculate f(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/780 and 59\/3155840?\nAnswer: 123077760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 2716316 and 8148950\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120002660 to the nearest integer?\nAnswer: 10955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 2*t. Let p(w) = -2*w + 190. Let l(n) = -n + 67. Let c(k) = -17*l(k) + 6*p(k). Calculate c(h(x)).\nAnswer: 5*x**2 + 10*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -10*u. Let g be z(-7). Let q be (5\/g)\/((-2)\/4). Which is the closest to -0.2? (a) -3\/2 (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a decade?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*v**4*y - 36*v**2*y - 19*y - 13 with respect to v.\nAnswer: -60*v**3*y - 72*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 7455.4\nAnswer: -44732.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112*1.26.\nAnswer: 141.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(4*(-4)\/32)*152\/(-114).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 290 - 246. Let l = -57 + 31. Let j = l + a. What is j rounded to zero decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 33*l - 69. Let s be b(-35). Let z(p) = -3*p - 12. Let j(m) = 1. Determine s*z(d) + 9*j(d).\nAnswer: -3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 8:49 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -3, 66, -0.1, 3\/10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29118 or -29121?\nAnswer: -29121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -3, 1\/6, 2.\nAnswer: -25, -3, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 2*f + 3. Let n be a(2). Suppose -n*r + 22 = 5*t, 4*t = 2*r - 6*r + 24. Suppose -t*j + 3 = -23. What is the highest common divisor of j and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4))\/(6\/8). Let w be ((-45)\/(-12))\/((-6)\/(-8)). What is the units digit of (w\/2)\/(x\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -18*g - 18. Let y(o) be the second derivative of o**3\/6 + 3465*o + 1. Give u(y(t)).\nAnswer: -18*t - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f - 174 = -147 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 + 137410*k - 1 + 3*k**2 + 12*k**3 - 4*k**4 + 1 - 137408*k to t + i*k + o*k**2 + h*k**4 + n*k**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402787.\nAnswer: 7, 11, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 5*a + 16. Let i be p(3). Let h = 25 + i. Let u(k) = -9*k**3 + k**2. What is u(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from ddddddcddddd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-6))\/((-2)\/4). Let a(p) = p**3 - p**2 + p. Let f be a(j). Calculate the greatest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -133*b - 5 - 23*b**2 + 4 + 136*b - 3*b**2 + 4 - 4 + (-2 + 2 - 2*b**2)*(0 - 6 + 4).\nAnswer: -22*b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-381456.\nAnswer: -11443.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -6. Let v be -5 - (-9)\/3 - s. Solve v*z = 2*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2598906 is divided by 1299446?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3 + 9024*t**2 - 5089536*t = 0. What is t?\nAnswer: 0, 1128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -262 - -262.2. Which is the closest to -1? (a) -4 (b) p (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*v = -4*h + 101199, 2*h - 50601 = v. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 1, -78, 23, -3, 0.00112 in descending order.\nAnswer: 23, 1, 0.00112, -3\/8, -3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - -86. Suppose -4*d + 5*g + 19407 = 6*g, 4*g = l*d - 19432. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2296.\nAnswer: 2293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 = o - 5, 0 = 3*o + 5*m - 2. Let t be (-4)\/(-6) + (-56)\/o. What is the greatest common factor of t and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 8 + 0 + (74 - 96)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 3*m + 4. Let v be g(6). Suppose -s + 3*b - v + 382 = 0, b - 5 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -13, -4\/9, -7, 10\/7, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3275?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 7*g**2 + 10*g + 4. Let p be f(-5). Suppose -p*k - 41 - 7 = 0. Let z = 19 + k. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*q - 7*q**3 + 13*q**3 + 0*q**3 - 4*q**3.\nAnswer: 2*q**3 - 352*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/(-12))\/((-1)\/306).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-12)\/(-78)*15\/42?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.199764. What is p rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, d: 2, f: 1, q: 8, n: 5}. What is prob of picking 2 n and 1 d?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92248182 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 2*k**2 + 1\/40*k**6 - 1\/15*k**5 + 0 + 5\/24*k**4 - 1\/2*k**3 + 0*k. Is a(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -222096 and -0.6.\nAnswer: 133257.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.164665 from -1689114.\nAnswer: -1689113.835335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45677.78 - 0.1679.\nAnswer: 45677.6121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 459.6 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82)\/1599*77\/(-55)*-15)\/(3\/(-3)).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -2 + sqrt(180) + 0)*1)**2.\nAnswer: -72*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-7 - (-3)\/(-4 - -1)). Suppose 0*f = f + 5*o - 10, 0 = -3*f - 5*o + 40. Find the second derivative of 42*p**n - f*p + 64*p**5 - 134*p**5 wrt p.\nAnswer: -560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 297\/(-165)*4\/12\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 816\/84 - (-104)\/28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g - 48 = 0. Let o = g - -14. Suppose -j + 6*j - 50 = 0. Solve -6*d = -o*d + 2*x + j, 4*x = 2*d - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/353 or 1?\nAnswer: 28\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 652733, 652735, 652737, 652739, 652741, 652743?\n\"Answer: 2*i + 652731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0435 and 12282.\nAnswer: 534.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 216410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 15, l + 14 = 2*g - 1. Calculate the remainder when 25 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 92\/(-506) + 5\/(-66)*2. Which is the second smallest value? (a) 1 (b) 0.3 (c) -2\/89 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(60)\/(sqrt(12)\/sqrt(2))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 564 + -175. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/11)*m**(-2\/3))\/((m\/(m\/(m**(2\/11)*m)))\/m*m\/(m**(2\/9)*m)))\/(m**(-4)*m**7*m**3\/m*(m\/(m**(-1\/12)\/m))\/m*m) assuming m is positive.\nAnswer: m**(-2729\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6644?\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -17 + 241. Suppose 0 = -a - 0*a - z. Let k be 4\/(-14) - (-348)\/a. Which is smaller: k or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 3 + 4 + 8 + 97*v + 133*v.\nAnswer: 230*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 4)\/((-3)\/2). Let q = 22 - 67\/3. What is the nearest to q in 3, 1\/5, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 15 + 26*a.\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.22 + 0. Let p = y + 3.12. What is p rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b - d?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + -1. Let m(t) = -3*t**3 + 9*t**2 + 10. Let k(h) = -7*h**3 + 19*h**2 + 21. Let r(z) = -4*k(z) + 9*m(z). List the prime factors of r(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) -1 (c) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3092479712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2 - 47*u**2 - 52*u**2 + 96*u**2)*(-2 + 2 + u**2).\nAnswer: -3*u**4 - u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 270, 263, 254, 243, 230?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 j when four letters picked without replacement from {e: 1, j: 6, s: 8}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + -1 + 2*(5 + 1 + sqrt(1300) - sqrt(1300)) + 0)*-4)**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.549, -1, -0.4, 52\/31.\nAnswer: -1, -0.4, 0.549, 52\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -384 - -388. Suppose 5*p + 7 = 2*w, -6 = -4*w - v*p + 6*p. Let m(q) = -10*q**3 - 6*q**2. Let j(f) = -f**3 - f**2. Determine w*m(g) - 6*j(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76946 is divided by 711?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 12. Let n be v(10). Let g be -5 - (2 + -1*6). Sort g, 5, n in ascending order.\nAnswer: n, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -460 and 7308344.\nAnswer: 7307884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 1616*m + 93870.\nAnswer: 2*(m - 745)*(m - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-36))\/(1\/(-4)*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*j**2 - 8*j**2 + 23*j**2 + 2*j**2 + 4*j**2 + 6*j**2.\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -0.02 (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5\/(-60)*64\/(-96)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fll when three letters picked without replacement from {l: 11, f: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/3)*(h*(h**31\/h)\/h)\/h*h assuming h is positive.\nAnswer: h**(95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -10*i. Suppose i = -5*d + 5*l + 20, 0 = -4*d - 2*l + 21 - 5. Solve 0*y - 8 = d*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/63792 and -157\/122268.\nAnswer: 1467216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 3*x. Let r = -595 - -597. Suppose -3*g + r*j = -3*j + 8, j - 12 = -2*g. Determine z(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 19*h + 10. Let z(y) = 13*y + 6. Let u(b) = -5*x(b) + 8*z(b). What is u(-3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 139148776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4662 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9046029313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22121422 + 11212?\nAnswer: -22110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*r**3 - 17*r**2 + 446*r - 2.\nAnswer: 54*r - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -232*j + 1691. Is t(-20) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2959 + -2963. Which is the nearest to 0? (a) -4\/663 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**2*v*x - 3494*c**2*v + 3*c**2*x + 6*c**2 - 1489*v*x - 2*x wrt x.\nAnswer: 4*c**2*v + 3*c**2 - 1489*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 42, 31, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*u - 95*u - 85*u - 85*u.\nAnswer: -216*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 40. Let u = 82\/3 - 419\/15. Which is the closest to 0? (a) d (b) u (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 513 and 0.2.\nAnswer: 102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j + 207. Calculate the remainder when p(-10) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-72033)\/65)\/((-6)\/10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/122, 0.07, -762 in ascending order.\nAnswer: -762, 3\/122, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 12:29 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 1. Let b(m) = -6*m + 17. Let l(v) = b(v) - 3*c(v). Suppose 0 = -y - 2*y - 27. Is l(y) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 50 (b) -2\/21 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 4*g - 2*q - 9, -5*g + 82 = -4*q. Let t be 39 + -18 - (-1 - -4). Calculate the greatest common factor of t and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*k - 12 = 3*t, 3*t + 9 = -k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-170)\/14 + -8 + 12 - 2\/(-14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 g when three letters picked without replacement from {x: 2, g: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*k**3*v**2 + 305*k**3*v - 2*k**3 + 17*k**2*v + 7*k*v - v**2 + 2*v wrt k?\nAnswer: -102*v**2 + 1830*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/67336 and -3\/4.\nAnswer: 67336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -10. Suppose 65*j - 23*j = 25*j + 17. Put k, -22, j in decreasing order.\nAnswer: j, k, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 630 and 30?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3126007, -3126004, -3126001?\n\"Answer: 3*s - 3126010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from eexysxxgxyyyxyexy.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g**2 + 3*g**2 - 3*g**2)*(-1 + 6 - 3) + 1 + 2*g**2 - 1 - g**2 + 2*g - 2*g - 32*g - 12*g**2 + 32*g + (4 - 4 - 2)*(-g**2 - 2*g + 2*g))*(1 + 5 + 6).\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -420 + 484. What is the least common multiple of r and 80?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-5))\/c*c**(2\/11))\/((c\/(c*c**5))\/c*c)**(2\/13) assuming c is positive.\nAnswer: c**(-579\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 13*p**2 + p + 15. Let s be g(-13). Let k be 6\/(3 + -3 + s). Suppose m - k*m = -168. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.673568 * -0.5.\nAnswer: -3.836784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/25 - (-7*30\/25 + 8)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45701901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10) - (-46)\/10. Suppose -n - l = -3, 5*m = -2*n + 61. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)\/w**(1\/10))**(2\/67)*(((w*w\/w**1*w)\/w)\/w*w**(-3)\/w)\/((w*w*w*w\/(w\/(w*w**(1\/4))*w))\/(w**(-1\/4)\/w)) assuming w is positive.\nAnswer: w**(-5707\/670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46598.18ug in grams?\nAnswer: 0.04659818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -13. Let p be (-246)\/(-15) + 4\/l. Solve 0 = -4*i - f - 2*f + 16, 4*i = -5*f + p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -16308*y - 336. Let f(c) = 3262*c + 61. Calculate 2*a(d) + 11*f(d).\nAnswer: 3266*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4905 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, 1\/5, 0.3, 7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-553)\/49 + 11 - 233\/(-7). Round f to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-195)\/(-27) - (8\/36 + 0). Suppose -t*l = l - 2392. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 10*i**2 - 101*i - 1. Determine r(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31569047491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6*10\/75 - ((-13468)\/735)\/26\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 - -367. What are the prime factors of u?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 7*j**2 - j - 8. Let y(q) = -q**2 - 10*q - 7. Let b be y(-10). Let d be w(b). Is 6\/17 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**5 - 104*p**4\/5 + 126*p**3 - 892*p**2\/5 + 136*p\/5 + 48 = 0.\nAnswer: -15, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 84. Factor 3*c**4 - c**5 - 8*c**w - 4 - 2*c**2 + 9*c + 3*c**4 + 3*c**2 - 3*c**2.\nAnswer: -(c - 4)*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 231 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p - 1. Suppose 0*k - k + 10 = 0. Let b be (-2)\/(-3)*15\/k. Determine a(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 + 83. Let r = d + 38. Solve r*v + 13 = 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-1)\/(-4)*0\/2. Suppose -5*g - 2*v = -5, 4*v + c*v = -4*g - 8. Solve 2\/9*h**4 + 10\/9*h**2 + 8\/3*h**g - 4\/9*h + 0 - 8\/9*h**5 = 0 for h.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(27))**2 + (sqrt(18)\/(sqrt(6)*3))**2.\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(3\/8)*m*m)*m**(-4))\/((m\/(m\/(m**(-6)*m)))\/(m*m**12\/m)) assuming m is positive.\nAnswer: m**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose -q*z + 0*z + a - 20 = 0, a = 5*z + 36. Let s be -3*z\/(-36) + (-1920002)\/(-3). Round s to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.48 - -0.18. Which is smaller: -1.5 or m?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2096, -2884, -3684, -4502, -5344?\n\"Answer: -j**3 - 781*j - 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -2 - (-74 + -76 + 160)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 2 - (-45)\/351*63\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -4\/11 (b) 3 (c) -22 (d) -5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9138368 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6139 times 368?\nAnswer: -2259152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -2 - -1) + 6 + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15021 + 2501 = 1538*p - 19390 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 44 = -24*b. Let z be b\/(-5)*10\/(-4). Solve -5 = -z*p + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 23. Let n(c) be the second derivative of -c**3 - 15*c**2\/2 - c. Let u be n(t). Solve -u*o = -2 - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29502 is divided by 757.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + z. Let u be i(1). Suppose -4*b - 3*g + 148 = u, 2*b = g + 48 + 26. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-5)*y)\/(y\/(y\/y**(5\/4))))\/(y**(-1\/3))**46)\/((y**(-3\/2)*y**(2\/13))\/(y**(2\/5))**(-1\/26)) assuming y is positive.\nAnswer: y**(8903\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 v when four letters picked without replacement from eeevqveqveeeevee?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 138915, 278208, 417501, 556794?\n\"Answer: 139293*l - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3) + (-32)\/(-3). Suppose -g*v + 5*v = 800000. Round v to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4982, -5662, -6346, -7034?\nAnswer: -7726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 13. Let t be o(-14). Calculate the greatest common divisor of t and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4087 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -45*v + 3. Let n be k(-4). Suppose 0 = 16*s - 13*s - n. Suppose -4*c + s = o, -3*o = -2*c - 1 + 14. What is the least common multiple of c and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -215302 - -314301. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p + 18. Let f = 27 - p. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3 + 385*g**2 - 386*g = 0 for g.\nAnswer: -386, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 3*q**2 - 3*q + 4. Let b(i) = 2*i - 24. Let y be b(10). What is j(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 16634 = -88607. Let b = v - 33691. What is b rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6346*n**2*q**2 + 9*n*q + 185*q**2 wrt n?\nAnswer: -12692*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25 + (-10 - 20) + 4338\/1. What is n rounded to the nearest 100?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 127*t**3 + 171*t**3 + 3 - 3*t - 148*t**3.\nAnswer: -104*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**5\/20 - 3*c**4\/16 - c**3\/4 - c**2\/8 - 9. Find w such that x(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 0*p + 9 = -p, 0 = 4*c + 3*p + 32 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, i: 1, p: 1}. Give prob of sequence iup.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**2 + 52*s + 20. Let o be 0 - ((-22)\/2 - -3). Is r(o) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w - 5*w**2 - w**2 + 3*w**2 + 12*w.\nAnswer: -3*w*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495 divided by -9.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 19.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25751\/(-374) - (-2430)\/6885)\/(3\/(-6))?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 - 38*c**3 + 102*c**3 + (-c**3 - c + c)*(-1 + 44 + 9) as y*c**2 + t*c + z + s*c**3 and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5034 by -2517.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (4 - 13) - (15 + 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26*(-10)\/(-1820))\/(230\/(-35))?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 7813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -31467.1 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*l + s, -s = -2*l + 6*l - 51. Suppose -7*c + l = -5*c. Solve -2 = -4*b + c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/3)\/(-15 + 1334\/87).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*a = 10, 0 = -5*t + 10*t - 4*a + 4. Solve 2*v - 5*s = -18, -t*s - 8 = 94*v - 90*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1235275 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**7\/5040 - t**6\/1440 + t**4\/4 + 5*t. Let c(s) be the third derivative of p(s). Factor c(l).\nAnswer: -l*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1\/6, 2, -5 in decreasing order.\nAnswer: 8, 2, -1\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3346 - -3422. What is the least common multiple of 1376 and u?\nAnswer: 26144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*h + 5*r - 59, -3*r = -2*h + 92. Let c = -181 - -328. What is the greatest common divisor of c and h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 703, 2451, 5307, 9271?\n\"Answer: 554*n**2 + 86*n + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 1 - (2 - 7 - 24\/8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1232 (base 8) to base 6\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -5716.1.\nAnswer: -5720.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 105031, 209970, 314833, 419620, 524331, 628966, 733525?\n\"Answer: -38*h**2 + 105053*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -41, -48.\nAnswer: -48, -41, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27823434, 55646876, 83470318?\n\"Answer: 27823442*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -29. Calculate the remainder when t is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -4*g + 399. Suppose q - 14 - 5 = z, 5*q + 4*z = g. Let l be 11687\/465 + -25 + (-3 - (-1115)\/75). What is the greatest common factor of q and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -12249 (b) 5 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*l**4 - 8681*l**3 - 111292*l**2 - 156 wrt l?\nAnswer: 648*l - 52086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -22*b**2 + 16*b - 10. Let q(r) = 8849*r + 1 + 7*r**2 + 2 - 8854*r. Give 5*o(d) + 16*q(d).\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-38))\/(-3*143\/66 - -5).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4, -y = y - h + 13. Let o(l) be the third derivative of 0 + 1\/120*l**6 - 1\/3*l**4 - l**2 + 1\/12*l**5 - l**3 + 8*l. What is o(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 0*z**2 + z**3 + 2*z**2 + 2*z - 5 - 4*z**2 - 4*z + 4*z**2. Calculate o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.1 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1109 + 317*o + 1109)*((3 - 1 - 4)*(-6 + 4 + 4) + 2 + 0 + 0)*(0 - o + 0).\nAnswer: 634*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i = -75 + 235. Let m be (-3)\/2*16\/6. Let p(c) = c**2 + 2*c - 3. Let h be p(m). Solve n - 11 = 5*n + 3*w, -h = i*n + 2*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 90. Let t = -39 - w. Which is bigger: 5 or t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285438 is divided by 195.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 51, 3294, -5 in increasing order.\nAnswer: -5, -1, 1, 51, 3294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17859 divided by 1?\nAnswer: 17859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 197 + -193. Sort 1, -19, c in ascending order.\nAnswer: -19, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3569 or -5004\/13?\nAnswer: -5004\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -109, -55, -1, 53, 107, 161?\n\"Answer: 54*j - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*b**3*x**3 + 36*b**3*x + 2*b**2*x**3 - b*x**3 + 74*x**3 wrt b?\nAnswer: 126*x**3 + 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 - (14 + 2)) - ((3 - -96) + -100).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -397 (base 10) to base 4\nAnswer: -12031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -5, -58, -4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 40. Let a be z(-18). Is (26001\/198 + a\/22)*2 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69756 - 501236 = -134*v. What is the smallest common multiple of 3220 and v?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 5*g**2 - 8*g - 10. Let d be r(-6). Suppose 0 = 7*m - d*m - 35. Let f = 12 - m. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w - 4. Calculate the lowest common multiple of x(5) and ((-32)\/20)\/(4\/(-50)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 179, 149, 109, 59?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -112*v**2 + 4*v - 1. Let p be l(2). Let h be 9\/(p\/11872) + (-2)\/(-7). Round h to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(y**2 - 2*y**2 + 2*y**2) + (-2 - y**2 + 2)*(0 + 0 - 1) + 2*y**2 + 18*y**2 - 5*y**2 as r*y + b*y**2 + m and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1653435 divided by -905\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-114)\/32*-10 + 15\/40. Calculate the greatest common divisor of 588 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*q + 8. Let a = -30 - -66. Suppose 0 = -t + q*t - a. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. Let w(m) be the second derivative of 1873*m**3 + 196*m + 4. Calculate w(g(d)).\nAnswer: 11238*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131 + 131. Suppose 2*b + 4*q - 58 = 0, 0*q + q + 29 = b. Suppose 2*n - 11 = b. Solve -5*f + c*f - n = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/50)\/(9\/10). Which is the second smallest value? (a) -1\/6 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 5*s. Let k be h(5). Let p(t) = -t + 0*t + k*t. Let j be 15\/20*1*432\/81. Determine p(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/166059 and -29\/129157?\nAnswer: 1162413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 247104.\nAnswer: 1235520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 + 0*i**2 + 4*i**2)*(2*i - 3*i - 2*i)*(6 - 2 - 15).\nAnswer: 297*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46392, 58282, 70172, 82062, 93952?\n\"Answer: 11890*o + 34502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -991219 take away -5?\nAnswer: -991214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*g + 45*g = -53*g + 306 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91769.1um in meters?\nAnswer: 0.0917691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, l: 1}. Give prob of picking 4 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djx when three letters picked without replacement from {d: 4, x: 4, j: 5, n: 2}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 51.5*-32\nAnswer: -1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/190 + 46\/437.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122336304 by 1.\nAnswer: -122336304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -3. Suppose l - 4*t + 6 = 0, -l - t - d = -4*t. Solve 10*a - 3*a**2 - 3*a**2 + 3 - l*a**2 - 5 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12335?\nAnswer: 5, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 792 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 5 + (529 - 472)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and -0.4407416.\nAnswer: -0.057296408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 3*r = -3*d - 30, 4*d + 2*r - 22 = 0. What is the third derivative of 642*x**3 + 136*x**2 - 320*x**3 - 325*x**d - 25*x**4 wrt x?\nAnswer: -600*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13990.122 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -644 - -4?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(4*h + 1 - 1 + (2*h + 3 - 3)*(-15 + 10 + 7))*(0 + 1 + 1).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -331940875 to the nearest 10000.\nAnswer: -331940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, e: 9}. Give prob of picking 3 e and 1 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -232\/5? (a) -2 (b) -24 (c) 1\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m**2 - 15*m**2 + 4*m**2 + 257*m - 50 - 231*m. Calculate l(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9420 divided by -628.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 98356060 a multiple of 838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4048533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -12*u + 1. Let v(y) = -13*y + 1. Let b(a) = -2*v(a) + 3*x(a). Is 11 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207892945432 take away -2.3?\nAnswer: -207892945429.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 60.56 and -218\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 639137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {t: 12, u: 2, x: 2, w: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m**2 - m + 10. Let k(t) = 4*t**2 + 3*t + 3. Let c(o) = 23*o**2 + 19*o + 24. Let y(a) = -2*c(a) + 13*k(a). Give 4*p(f) + 5*y(f).\nAnswer: 2*f**2 + f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6830 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2)*12\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/95 and 127\/60.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5338*r - 543849 + 258238 = 5587*r + 588389 for r.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4)*(-32)\/48. Calculate the common denominator of ((-30)\/96)\/(b\/68) and (2\/8)\/(10\/(-8)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -307*h + 2785. List the prime factors of j(-78).\nAnswer: 26731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 57*n + 427. Calculate q(48).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 1. Let v be n(1). Solve -t + 9 = 2*r, v*t + 0*t = 5*r + 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ceue when four letters picked without replacement from {e: 7, u: 1, y: 4, c: 6}.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**4\/24 - 2*f**3\/3 - 5*f**2. Let q be 2\/5 - (-8)\/5. Let g be 2\/4 + (-1)\/q. Calculate i(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -1*3*10. Round q to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*j**3 - 180469*j**2 + 1498*j - 35638 wrt j.\nAnswer: 948*j - 360938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521593 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -286.8 and 0.00103.\nAnswer: -286.79897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -6*d + 3*d - 2*u, -d + 57 = -5*u. Let h be 5*(-24)\/150*-5. Let s(x) = x**2 - 9*x + 28. Calculate the remainder when d is divided by s(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 8)*(-9*z - 5*z + 4*z)*(z**2 + 2*z**2 + 3*z**2).\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Suppose -g - 4*f = -22, g + z*f + 6 = 38. Suppose g = 2*o + 14. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2, 2\/3, 0.18, 4\/5, 0.09, 1.2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/8 - (-3)\/(-1). Let t(y) = -y**2 - 10*y + w + 4*y + 4*y. Let z(n) = -n**3 - 6*n**2 - 4*n + 2. Let k be z(-5). Determine t(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -77 + 5405\/47.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-3)*((-7)\/3)\/7. Suppose -3*m - 3 + 18 = h. Solve -5*y + 10 = -m*x, 5*x + 3 = 4*y - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.29 + 0.11. Let t = -0.9 - -1. What is the biggest value in t, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-1\/2)*p)\/p)**2*(p*p\/((p*p*(p*p\/((p*p*p*p\/(p\/p**(-5))*p*p)\/p))\/p*p*p*p*p)\/p)*p)\/p**2)\/((p**1)**(8\/9)*p**(-6)*p**1*p) assuming p is positive.\nAnswer: p**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 3666*v.\nAnswer: -3*v*(v - 1222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3330*c = -666*c + 4097 + 1231 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62979840 and 1145088?\nAnswer: 62979840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.013 - -1078196.\nAnswer: 1078193.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -5. Let g = 10 - 6. Let q = 4 - g. Which is the closest to q? (a) -4\/7 (b) -1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 35, 57, 79?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45312?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/k*k**(1\/7)\/k)\/(k**(2\/11)\/(k\/(k*k**(-7)\/k*k))) assuming k is positive.\nAnswer: k**(382\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by (-412)\/(-16) - (-1)\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.03 + -0.03. Let x = -1035 - -1050.002. Let j = x - n. What is j rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/14 - (-3)\/(-9). Let h(n) be the second derivative of n + 0 + 0*n**2 + a*n**3 + 1\/6*n**4. Find the second derivative of h(c) wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(12))\/sqrt(11) + -2 + (sqrt(300) - (sqrt(300) - 2*sqrt(300))*1 - (sqrt(300) - ((sqrt(300) + 0 - sqrt(300)) + 5)))**2 + 1.\nAnswer: 201*sqrt(3)\/2 + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2886269 divided by -10?\nAnswer: -2886269\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 10. Let w be h(-7). Suppose -5*q + f - 30 = 0, w*q + 24 = -q - 2*f. Let i = -4 - q. Solve v = -i*s + 6*v - 11, -2*v = 5*s + 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23910737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 131 = -2*t + 1131, 0 = 5*d + 2*t - 2102. List the prime factors of d.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15862 + 15860. Suppose 124 = -4*x - 32. Let d be x\/(-4)*4\/6. What is the second smallest value in d, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9156 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -1. Let w = 140 + -424\/3. Let f = w - -62\/51. Which is smaller: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*q + 1. Let a(g) = -11*g**2 - 3*g + 15 + 6*g**2 - 2*g**2 + 2*g**3. Is a(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1165*v + 6985. What is f(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*x - 261 + 59, 0 = -5*m - x + 212. Which is greater: m or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*q*r**5*s + q*r**4*s**2 + 9*q*r*s - 3*q*s**2 - 3*r**2 wrt r.\nAnswer: 6960*q*r**2*s + 24*q*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8934.\nAnswer: 2, 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -85, -184, -321, -496, -709?\n\"Answer: -19*p**2 - 4*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o + 39. Let i(v) = v - 1. Let j(s) = -f(s) + 2*i(s). Calculate the remainder when 28 is divided by j(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukdxppxdppupppuxdx. What is prob of sequence xpd?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14558*j**2*r**3 + j**2 - 31*j*r**3 - 17833*j - 16 wrt r.\nAnswer: 43674*j**2*r**2 - 93*j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -23*k**2 + 174*k + 811. Give o(-5).\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*q - 11*q**3 + 139*q + q**3 wrt q?\nAnswer: -60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 11*j. Let i(y) = -5*y**2 + 1855421*y. Give i(p(c)).\nAnswer: -605*c**2 + 20409631*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 90*g**2 - 94*g + 18. Let x(z) = 10*z**2 - 10*z + 2. Let t(a) = 9*r(a) - 84*x(a). Let y(c) = -c - 1. Determine t(k) - 6*y(k).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 divided by -18.\nAnswer: 149\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1293*m - 2070 = 1248*m. Solve 41*y - m*y - 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 5*q**3 - 25*q**2 + 15*q.\nAnswer: 5*q*(q - 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.636 + 1.136. Let d = 65 - 193\/3. What is the nearest to d in 6, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(85)\/(sqrt(5) + sqrt(45) + sqrt(5)) + sqrt(17) + -2 + sqrt(1088) + 2*(sqrt(68) + 2*sqrt(68))\/sqrt(4)).\nAnswer: -8 + 304*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**3 + 21*i**2 + 20*i + 2. Let v be h(-6). Which is smaller: v or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*a**4 + 91*a**4 + 2*a + 46 - 41 - 2*a + a + 2*a**2 - a**3 to b*a + p*a**4 + z*a**2 + x*a**3 + g and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592388817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2207 = 3*f - 2*x, -5*f + 5008 = -4*x + 1333. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 28*m**2 + 39*m + 333. Determine v(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j - 3*j**2)*(-j**2 + 2*j**2 + 2*j**2) + 2*j + 4*j**4 - 2*j.\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -369, -397, -425?\n\"Answer: -28*d - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/6)\/(30\/528). Let j = m + 318\/35. Calculate the common denominator of j and -21\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.061764028 to 4 decimal places.\nAnswer: -0.0618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3252, 3136, 3020, 2904, 2788, 2672?\n\"Answer: -116*h + 3368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/432)\/((-7)\/21).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:16 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 78858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 26441408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 327081*y**6 + y**4 - 2*y**2 - 31307*y?\nAnswer: 39249720*y**3 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -151456 + -10230?\nAnswer: -162016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/29 or 16758?\nAnswer: 24\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 3*r - 5*r)*(-2 - 3 + 0) + 0*r - 22*r - 7*r.\nAnswer: -39*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 5:28 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/10)\/(60\/(-225)))\/((-27)\/(-630))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**5\/5 - 63*i**4\/5 + 117*i**3\/5 - 57*i**2\/5 = 0?\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 328865?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1080152 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2\/7 - 1208*k\/7 - 35526\/7 = 0?\nAnswer: -573, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -216\/5. Let k = 5.65 + -0.65. Which is the second biggest value? (a) k (b) u (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.2*0.4\nAnswer: -2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019574 rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 19*u - 240. Calculate a(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 12*q**2 + 8*q. Let a(o) = o**2 + o + 4. Let g(t) = -1. Let b(c) = a(c) + 4*g(c). Suppose -36*j + 37*j = 1. Give j*z(p) - 8*b(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 4. Let r be f(-8). Suppose 2*d - 4*d + r = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 y when three letters picked without replacement from jjkljjylljjujlkk.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 183480 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkbrzbksb. What is prob of sequence rsz?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.04 (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4915, -20045, -45261, -80563, -125951, -181425, -246985?\n\"Answer: -5043*l**2 - l + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 54 - 35)*(-25*w + 67*w - 12*w).\nAnswer: -2910*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + k**3 - 115 - 5*k + 2*k - 114 + 233. Let t be 2\/8 + (-13)\/4. Let v be a(t). Solve -v*j + 4 = 0, 3*d - 4*j - 5 = -21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12012020222 (base 3) in base 10?\nAnswer: -102248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**2 - 2844396*c\/7 + 812688\/7.\nAnswer: -6*(c + 67724)*(7*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 19*r + 484373 - 112325 = 0. Is r a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5690969*a**5 + 14663677*a**2 - a?\nAnswer: -341458140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 4818*n + 111 + 103 + 107 - 429.\nAnswer: -4818*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1690 - -2?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*q + 14, 5*s - s - 42 = -5*q. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1082*h + 1076*h = 36 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11001662 and 3546?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 317. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4470*q**3 + 12633*q**2 - 22661330*q.\nAnswer: 26820*q + 25266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-10) + 1739\/(-235) - -16. Is 1.38 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1222860, -1222863, -1222868, -1222875, -1222884?\n\"Answer: -i**2 - 1222859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 5*t**2 - 3*t - 15. Let k be b(-5). Let i(q) = 20*q - 8. Let r be i(6). Suppose k = 3*h - 17 - r. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 5*i + 0*i)*(155 - 155 + 40*i) in the form y + o*i**2 + d*i and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 3*h - 12. Let j be d(-7). Is (-30)\/j - (-45)\/4 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155\/10 - (-2)\/(-4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + h**2 - 3*h - 2. Let f be m(0). Let o = 0.03 + -0.43. Which is the third smallest value? (a) f (b) o (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - m - 8*m + (-2*m + m + 3*m)*(7 - 4 - 1).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/56*4\/(-6).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 + 3 = 0. Let a(c) = -h*c**2 + 6*c**2 + 1 - 2. Suppose -226*w + 223*w = -3. Give a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1716)\/(-54) + (-2)\/(-9). Suppose c*r = 45*r + 1449500. What is r rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 7. Let j(p) = -5*p + 22. Let r = 12 + -18. Let z(i) = r*j(i) - 21*b(i). Is z(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 46, 62, 78, 94?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5 - 397*p**4 + 21274*p**3 - 170298*p**2 + 489861*p - 479385 = 0. Calculate p.\nAnswer: 3, 53, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1722 - -1768. Put -2\/7, y, -3, 4 in decreasing order.\nAnswer: y, 4, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, 41.3, 0.2, -0.2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i - 5*i**3 + 4*i**2 + 3*i**3 + 0*i + 4*i.\nAnswer: -2*i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyygyyyyyyy.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -271, -540, -809, -1078, -1347, -1616?\n\"Answer: -269*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60*a**2*k**3*w - 57*a**2*k**2 + 2*a**2 + k**3 wrt w?\nAnswer: -60*a**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*2*-5*2\/840*7\/(-4)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 719 a factor of 20746745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a week in minutes?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 182160*y + 1275365.\nAnswer: -5*(y - 36439)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {r: 2, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1\/7250, 1\/2?\nAnswer: -1\/7250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64246 - 43350. What are the prime factors of h?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 1. Let p(x) = -3*x**3 + x**2 + 3*x - 2. Let h be p(1). Let t(g) = -7*g + 4. Determine h*t(r) + 5*v(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.462 - -26.46314464. What is p rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o - 8. Let h be r(-7). Suppose 14*l - h = 10*l. Let q be (-200)\/(-12)*l\/8. What is the greatest common divisor of 275 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsvkxvxmxmmmmxxkfxs. What is prob of sequence mms?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Express -100*b - 96*b + 29*b**2 + 195*b in the form l*b**2 + k*b + f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (7 + 2 - -21)) + (-17 - -6) + -5?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 5*k**2 - 8*k - 7. Let x be h(-2). Solve -4*q = 3 + 13, x = 3*m + q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 22*x - 23. Calculate the remainder when 98 is divided by c(20).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 149?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -36*n + 4. Let g be r(-3). Let b = 117 - 115. Suppose 2*x - 24 = -2*k, -k + 72 = 4*k + b*x. Calculate the greatest common factor of g and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**4\/7 - 690*f**2\/7 + 680*f\/7 + 1368\/7 = 0.\nAnswer: -19, -1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -920, -1842, -2756, -3662?\nAnswer: -4560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1 (c) -0.4 (d) -0.1 (e) 1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 215*q - 1255. Let k(h) = h**2. What is l(k(s))?\nAnswer: 215*s**2 - 1255","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + (sqrt(768) + 2)*5*4)**2.\nAnswer: 21120*sqrt(3) + 308289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1141*v**2 + 2*v - 1. Let d be f(1). Let k = d - -482. Let m = k + 1055. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.30026ug to kilograms.\nAnswer: 0.00000001530026","meta":{"dup_signals":{},"source":"measurement__conversion_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: Suppose 0*g - 15 = -c + 3*g, -3*c = -5*g - 25. Suppose -3*u + 74 + 67 = c. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 27*x**5\/20 - x**4\/6 - 5*x**3\/3 + x**2\/2 + 2*x - 17. Is 34 a factor of p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*k**4 + k**3 + 103*k + 10 wrt k.\nAnswer: -324*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2502 - 15?\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u + 5. What is p(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 = w, -2*w + m + 5 - 16 = 0. Let g(v) = v**2 + 6*v + 12. Let u be g(w). Solve u*f - 3*f - 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7563*h + 37*h**2 + 27 - 3770*h - 3793*h in the form b*h + j*h**2 + t and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-44) + 5371\/451?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 - 571 = 66*x + 86*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.059 - -33.941. Let a = y - 11. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*t = 124, 3*t - 70 = -8*l + 10*l. Which is the fourth smallest value? (a) 4 (b) l (c) -0.4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**4\/4 + 7*s**3\/3 + 5*s**2\/2 - 4*s - 3. Let j be q(-6). Find the second derivative of p**2 + p**2 + 0*p**j - p wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h + 34*h + 0*t = -2*t + 16, 1556 - 1580 = -4*h + 2*t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3843 is divided by 44.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*l = 417*l - 6017. Which is bigger: -0.2 or l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 - -110. Let m be (0 - (-1994)\/(-44))\/1. Let f = 91\/2 + m. What is the second smallest value in 0.5, u, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -739834, -739833, -739832, -739831, -739830, -739829?\n\"Answer: a - 739835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 3 - 69*t + 2*t**2 + 71*t to the form q + v*t**2 + d*t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429179378?\nAnswer: 2, 251, 311, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*h + 108*h + 33*h)*(0*h + h - 3*h)*(-2*h**2 + 0*h**2 + 0*h**2).\nAnswer: 292*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*u**3*w**3 - 2*u**3*w + 5*u**3 + 58*u*w + 2*w**4 wrt w?\nAnswer: -24*u**3*w + 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3543900*b**6 + 4141265*b**2 - 2*b wrt b?\nAnswer: 425268000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 1428 = -14*r. Is r a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2461116 by -145.\nAnswer: 2461116\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1008) + 5 - ((sqrt(1008) - -2*sqrt(1008))*3 - sqrt(1008) - sqrt(1008)))**2.\nAnswer: -1560*sqrt(7) + 170377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkkktkqtkkk. Give prob of sequence qt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4611, -9389, -14167?\n\"Answer: -4778*t + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -282187, -1128892, -2540115, -4515856, -7056115?\n\"Answer: -282259*i**2 + 72*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17191 (base 11) to base 6\nAnswer: 303535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 4. Let p be 1\/z + 26\/6. Suppose -p*w + 100 = 3*q, -3*w - 3*q = -2*q - 80. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3017549 divided by -14\nAnswer: -3017549\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1319*u*w**4 + 296153*u - 2*w**3 + 88*w**2 - 6 wrt w?\nAnswer: 5276*u*w**3 - 6*w**2 + 176*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - (1 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1206 - 1210. Which is the closest to 0? (a) -1\/3 (b) 8 (c) 3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 7*y**2 - 8*y + 17. Let s be n(11). Let p = -95 + s. Let a = p + -226. List the prime factors of a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(80\/36))\/(222\/(-148))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142450.\nAnswer: 2, 5, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 1794*y - 12601. Determine f(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.5 (b) 4\/5 (c) -0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - -1 - (1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -146 - 5?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 3*q + 0 - 4 + q. Suppose t - 2 - 7 = 0. Let g be c(t). Solve -15 = -5*u + 2*h, -4*u + 3*h = g*h - 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10728912 and -0.019?\nAnswer: 203849.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m - 97. Let u(x) = 2*x**2 - 18*x - 1248. Let c be u(-21). Give o(c).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z**2 - 11*z**2 - 17*z**2 + 10*z**2 to w*z**2 + a*z + t and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 2*s**3 + 10*s**2 - 30 + 203*s - 200*s - 4*s**3. Is 14 a factor of h(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.49 (b) 4\/3 (c) 0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 2*h + 7\/3*h**3 + 2 - 5\/2*h**2 + 1\/4*h**4. Is k(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/265424808 and -61\/1683.\nAnswer: 796274424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i - 6. Let l be o(0). Let d be l\/(-9)*(11 - -28). Let u be (2 - 3) + (-574)\/(-2). Calculate the greatest common divisor of d and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41139*o = 41350*o - 1266 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36295 + 5*j + 15*j + 154852 + 3*j.\nAnswer: 23*j + 118557","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -656 (base 12) to base 13\nAnswer: -567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48313572 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 19986623?\nAnswer: -10\/19986623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = c + 5, -3*f + 1 = 3*c - 4*f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 21*r - 34. Let m be -27*(3\/(-9) - 0). What are the prime factors of d(m)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1929990 = -569*s + 600*s - 7740785. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o - 44*o = 5346. List the prime factors of (120\/18 - 4)*o\/4.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108*q - 1600 - 28*q - 4*q**2 - 24*q.\nAnswer: -4*(q + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.2, 0.849, -0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1323 - -1335. Solve 15*d - 15 = p*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -766\/5407 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408) + 1*sqrt(1408) - sqrt(22))\/((sqrt(2) - sqrt(288)*3) + sqrt(2)).\nAnswer: -15*sqrt(11)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1670, -1935, -2642, -4013, -6270?\n\"Answer: -37*l**3 + l**2 - 9*l - 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2 - 4)*(4*l + l - 3*l) + l + 2 - 2)*(2 + 10 - 4).\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*z + 370*z = 1030*z + 1782 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 307\/65 - 51\/13. Let f(z) be the first derivative of -8\/15*z**3 - z**2 - 1\/10*z**4 - x*z - 5. Factor f(l).\nAnswer: -2*(l + 1)**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-138))\/((-7140)\/(-408488)). Let m = -64\/153 - z. Let k = m - 110213\/19320. Find the common denominator of k and -83\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 2.4. Let t be (-3 + (3 - 2\/3))*-27. Suppose 5*o = -3*q + t, 3*o - 5 = q + 3*q. Which is the second smallest value? (a) o (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 10501 = 1400. List the prime factors of m.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2. Suppose 5*x + 25 = -0*x. Let j = 0 - x. Let t(l) = l**2 - j*l**2 + 5*l**2. Determine g(t(h)).\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*s + v, -v - 4*v = 25. Let j be s*1*(-4)\/(-8). Let d = -0.7 + 0.3. Which is the nearest to j? (a) -0.3 (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14995\/3 - 4999. Sort -4, i, -1, -2\/107.\nAnswer: -4, -1, i, -2\/107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9167318674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k + 38*k - 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 1, i: 1, f: 1, g: 1}. What is prob of picking 1 f and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z - 384 = -54*z. What is the greatest common factor of z and 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 6, -1\/10 in descending order.\nAnswer: 48, 6, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/105*(-175)\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2dc (base 15) to base 11\nAnswer: -548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*g - 2486 = -20*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q - 11. What is the units digit of s(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + 115107*c**2 - 230215*c\/2.\nAnswer: c*(c - 1)*(c + 230215)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from affahaaaaa. What is prob of picking 1 a and 2 f?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7.3, -1\/6, 5.38, -2, -6, -3?\nAnswer: 5.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 937 is divided by 229.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -159300\/43 and -3705 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -481452 by 591.\nAnswer: -160484\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8587.349 times -3\nAnswer: 25762.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6829464\/11095 - 43\/1585. Let s = w + 620. Calculate the common denominator of s and 119\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 988 and 1399616.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q**2 + 26*q - 1 + 12*q**2 - 10*q**2)*(4*q + 3*q - 6*q) in the form u*q**3 + w + i*q**2 + z*q and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.0195 rounded to 2 decimal places?\nAnswer: 11.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1376120?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-112)\/(-154))\/(1050\/(-275)))\/((-162)\/(-21))?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -110*o + 0*o + 109*o. Let y(f) = -10*f**2 - 5*f - 16. Give q(y(k)).\nAnswer: 10*k**2 + 5*k + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/9))**(-1)\/(a*a**(-6))**21)**(1\/3) assuming a is positive.\nAnswer: a**(946\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/65)\/(2205\/(-73710))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 287 + 15 + 164. Solve b*y - 42 = -69 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 13*c + 5*f = 36, 0 = -4*c + f + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.16, 1\/6, -4, 2\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2085 and 3336?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 3*y - 6. Let p = -42 + 71. Suppose p = 3*l - 34. Calculate the remainder when l is divided by q(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 15. Suppose -g = 2*w - 25, 4*w - 2*g - h - 24 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 328715 and 580?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -327 - -327.1. Which is the second smallest value? (a) 34 (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058052 rounded to three dps?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-50)\/(-45))\/5)\/(((-66)\/(-396))\/(93\/12)).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78069691?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 take away 44657.9?\nAnswer: -44525.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdcdddccccxxx. What is prob of sequence dd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 12 + 4*s**3 - 1544*s**2 + 50*s - 3*s**3 + 2 + 9*s + 1527*s**2. Let k be j(12). Solve i = -q, -4*i + q - k - 3 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.6 + -12. Which is the closest to k? (a) 0.2 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.1. Let j = 14.244 - 13.744. Which is the closest to -0.2? (a) -5 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/o**(-39))\/o*(o\/o**(5\/6))\/o*o)**34)**(-18))**(1\/17) assuming o is positive.\nAnswer: o**(-1446)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-144)\/27 + -3 - -8. Let p be (2\/10)\/(12\/(-15)). Sort p, 7, w, -0.5 in decreasing order.\nAnswer: 7, p, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t**2 - 7*t - 9. Let d be l(-2). Suppose -9*v - d = -101. Suppose -v*n = -0*n - 5336. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42046392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 8 - 3*x - x**2 - 12 - x**3. Is 13 a factor of u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-14 - (22 - 14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 9*s + 9. Let c(d) = d**2 + 10*d + 10. Let i(v) = -5*c(v) + 6*u(v). Let x(y) = -12*y**2 + 3*y + 3. Give -2*i(z) + 3*x(z).\nAnswer: -14*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2724067*u**2 + 16*u**3 + 2724067*u**2 - 20*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 9*l - 7. Is r(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/3)\/(6 + (-95)\/15). Suppose c = -i + 6*i - 5*u, -5 = -4*i + 5*u. Solve 3*v + 12 = -i*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 4. Let l(a) = a - 11. Let u be l(14). Suppose -g + 2 + u = 0. Give o(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*p**2 - 25*p**4 - 2*p - 3*p**3 + 26*p**4 + 17*p**2 to the form d*p**4 + r + z*p**3 + s*p + i*p**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -0*l - 3*h, 0 = -7*l - 2*h + 29 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5))**(-45)*(h\/h**(-4\/7))\/(h**29\/h) assuming h is positive.\nAnswer: h**(-248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 3*i + 8*i + 7*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/(-72))\/(2\/(-18)). Let g(z) = z - 5. Determine g(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5926480.\nAnswer: 2, 5, 7, 19, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -3. Is 69315\/10 + 2\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*h\/(h\/((h*h**(2\/3))\/h)*h))\/h))**35\/((h**(-3)*h*h)\/h**(-1\/2)))\/((h**4*h*h*h)\/h**(-2\/9))**(13\/3) assuming h is positive.\nAnswer: h**(857\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 546290805?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5 + 14*p**3 + 12*p**2 = 0. Calculate p.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 217137 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 0*o**3 - 2*o + 0*o**5 + 0 + 3\/10*o**6 - 1\/4*o**4 + 0*o**2. Find the third derivative of m(w) wrt w.\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -28. Suppose -4*c = -5*n + 64, 4*n = -4*c + n - b. Let f(l) = -l**3 - 9*l + 6. Let p(k) = -2*k**3 - 17*k + 11. Calculate c*f(m) + 6*p(m).\nAnswer: -m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-63) + 98\/(-1008)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 5*a - 3*a - 2280*a**2 - 3127*a**2 as n + i*a + t*a**2 and give t.\nAnswer: -5407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 5*a**2 + 1\/60*a**5 + 0 + 0*a + 1\/24*a**4 + 1\/3*a**3. List the prime factors of s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219 + 248.3. Round i to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/5*s**3 + 102\/5*s**2 + 2\/5*s**4 - 72\/5*s + 0.\nAnswer: 2*s*(s - 12)*(s - 3)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 + 67 - (-44 + 0)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6265176 + 138?\nAnswer: -6265037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 666 - 658. Let u(w) = -w**3 - w**2 + 2*w - 10. What is the smallest common multiple of u(-4) and h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 4*v - 2*v)*(2*v**2 - 224*v + 224*v + (2*v + v - 2*v)*(-3 + v + 3) - 2 + 2 + v**2 + 0*v**2 + 0*v**2 + 2*v**2 - 3*v**2 + 2*v - 2*v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-6)\/(-8)*42*(-32)\/(-72)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**3\/3 - 371. Let l(v) = 4*v - v - 2*v + 1. What is b(l(r))?\nAnswer: -r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 10. Let u(t) = -13*t + 343. What is u(b(h))?\nAnswer: -13*h + 473","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + -3 + sqrt(275) + 1 + 4 + -5*(-2*sqrt(275) + sqrt(275)) + 1*sqrt(275)*-6))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -88975, -89270, -89565, -89860, -90155?\n\"Answer: -295*u - 88680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147 by -21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 12318387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 41487084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/15 and -46\/471?\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 2, p: 1, f: 1}. Give prob of sequence fs.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 245 and 4291.\nAnswer: 150185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1864*a + 4923. List the prime factors of d(10).\nAnswer: 23563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-4)*g)\/g))**19*g\/(g\/g**(3\/11))*g**3\/g assuming g is positive.\nAnswer: g**(1070\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 divided by -1.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2455*u + 2027. What are the prime factors of b(18)?\nAnswer: 113, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 25, 7*r - 4*t - 88 = 3*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*c = 282*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/3 and -2\/715?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-14) - (-7531)\/119. Does 13 divide r + -1 - 38\/(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 35 - 123457*a + 61727*a + a**3 + 12*a**2 + 61721*a. Determine i(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 810 - 808. Let p be 1 - (-2 + (-2958)\/8). Let n = -376 + p. What is the biggest value in -4, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 39*v + w - 3*w + 145, -4*w = -3*v + 95 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 17. Sort 1, r, 0.\nAnswer: r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 208646 * 1.\nAnswer: 208646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.24 - 0.76. Which is the closest to h? (a) -2\/7 (b) 0.5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5184 - -5193. Let j(n) be the second derivative of -n**4\/24 + 4*n**3\/3 + n**2 + n. Let p(c) be the first derivative of j(c). Calculate p(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/8 - 7200879*g\/8 - 1800219\/2.\nAnswer: -3*(g + 1)*(g + 2400292)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuhuuhuhuuu. Give prob of picking 1 u and 3 h.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-960)\/256 + -1 + (-2)\/(-1)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(0 - 3) + 0. Let a be 16\/z*340\/(-4). Calculate the remainder when (-15)\/1*a\/(-51) is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/7)\/((-332)\/(-1162))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/25 >= 1345370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-6)*6\/(-4). Let z(t) = -t**i + 2*t - 2*t. Let a(b) = 3*b**2. Determine z(a(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7639200 divided by 180?\nAnswer: -42440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f - 1. Let o(l) = 24*l - 13. Let x(k) = -5*d(k) - o(k). Give x(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -129*n + 131*n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 59*z = 57*z + 38, -7*j - 3*j + 8 = 4*z - 80 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -12. Let c = 791 - 301. Suppose 4*p = g*j + 2357 - c, -j + 472 = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5\/2 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 - 1093532*i**3 + 74738811452*i**2 - 74737717924*i.\nAnswer: 4*i*(i - 136691)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 28352\/11, 2\/5, 0.1, -5?\nAnswer: 28352\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 734527470 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 10*q**4 - 215*q**3 + 1055*q**2 - 1225*q + 375 = 0?\nAnswer: 1\/2, 1, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -r - 12. Suppose 6*v + 50 = -r. Find the common denominator of 47\/14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -4*a. Let h = 0 + a. Is 17 a factor of (54 + (5 - 3))\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42360 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278319253, -278319251, -278319249, -278319247, -278319245, -278319243?\nAnswer: -278319241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 31, -0.04 in decreasing order.\nAnswer: 31, 3, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 30*c - 754. Let q(p) = -16*p - 1. Determine -m(a) - 2*q(a).\nAnswer: 2*a + 756","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {e: 2, h: 1, s: 1, t: 1, x: 1, d: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1. Let r(j) = 3*j + 4. Suppose -36 + 26 = 5*v. Determine v*d(c) - r(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 38*x**2 - 12*x + 6. Let t be j(2). Which is bigger: 2\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a - 2*a + 8 + 0*a - 6*a. Let l(v) = 2*v - 3. Let k(u) = -8*l(u) - 3*x(u). Let z(j) = 2*j + 8 - 8. Determine z(k(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*(5 + 2 + -5). Solve 0*l = n*w - l, -2*w = 5*l + 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + -78. Suppose 3*i + 80 = -2*i + 2*g, 0 = 4*g + 20. Let h = a - i. Calculate the greatest common factor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - (8 - (5 - 0)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiaaiviaklivvvva. Give prob of sequence aa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 - 15 = -n, -3*y - 5*n = -51. What is the highest common divisor of 108 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 17 - 13)*(-1 + 2 + 1)*(-1 + 0 - 1)*(-3 - 2 + 7)*(0*q**2 + 2*q**2 - 4*q**2) in the form f + h*q**2 + s*q and give h.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (26 - (-21 + 11))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (24*3\/60)\/((-6)\/45 + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from {l: 3, k: 1, t: 1, a: 1, y: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**17\/q)\/(q**(-2\/47)*q*q))\/((q*q**(-4\/5)*q)\/(q**(-1)*q)) assuming q is positive.\nAnswer: q**(3018\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 402087649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 60*q**2 + 3*q - 34. Suppose 2*g = -3*c + 27, 0*c + g + 32 = 5*c. Is f(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 + 86285*n - 5 - 97244*n in the form x + k*n and give k.\nAnswer: -10959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -36c3?\nAnswer: 36c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.087 + 0.913. Which is the third biggest value? (a) 2 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 - 522*m**2 - 210*m + 172. Determine o(-104).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-90)\/(-225) + 746\/(-1360). Let m = z + 2\/85. What is the fourth smallest value in 5, m, -3, -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y, -5*j - 5*y + 2 = -3. Suppose 0 = 3*s - 4*l - 20, 5 = 4*s + 4*l - j. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**7\/1680 - n**6\/160 + 5*n**4\/6 - 26*n**2. Let b(i) be the second derivative of x(i). Factor b(p).\nAnswer: -3*p*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5 + 172*m**4 + 2107*m**3 - 827014*m**2 - 21742656*m + 46773792 = 0?\nAnswer: -39, 2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 30 = -0*q. Suppose q*c - 56 = 2*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2198 + 4534. Suppose -d + 3*d = 2*c - b, 4*d + 16829 = 5*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, f: 2, v: 2, z: 4}. Give prob of picking 1 f and 3 z.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-6 - -1 - -6). Solve 0 = 3*v + 4*z + 26, -j*z + 1 - 23 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19792793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26915 divided by -18.\nAnswer: 26915\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 429 and -84 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a. Let z(f) = -f**3 - 13*f**2 + f + 15. Let s be z(-13). Let h(q) = -5 - s + 2*q + 7. Calculate -5*h(x) - 6*v(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + h - 4. Let l be t(0). What is the tens digit of 1 - (-1 + l*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.15 + 0.15. Which is the biggest value? (a) p (b) 0.2 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 17*i + 21*i - 16 = 0, -3*y + 4*i = 0. What is the remainder when 361 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -85503, -341728, -768741, -1366542?\n\"Answer: -85394*o**2 - 43*o - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 9*i**2 + 8*i - 18. Let t be a(-10). Suppose -47 = -3*k - 2*k - t*j, 4*k = 4*j + 32. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -45*j + 5*h - 24 = -43*j, 0 = 2*j + 5*h - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**4 + 286*h**4 + 245*h**4)*(h - 4*h + h).\nAnswer: -1058*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0.02, -2\/9, 1\/24 in increasing order.\nAnswer: -23, -2\/9, 0.02, 1\/24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 4298*m + 287040.\nAnswer: 2*(m + 69)*(m + 2080)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-280)*((-3)\/(-9))\/(3\/(-54))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 13 - 1 + 1 + m as b + s*m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -9. Suppose -y*i + i = -28. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**3 - 25*y**2 - 20*y. Let r(b) = 5*b**3 + 24*b**2 + 20*b. Let q(s) = 4*c(s) + 5*r(s). Factor q(h).\nAnswer: 5*h*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1640 divide 27902960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0048168 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -8. Let y be -1*2*l\/8. Let q = -975\/7 - -139. Which is smaller: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 + 330*j**2 + 163350*j + 26952750.\nAnswer: 2*(j + 495)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17934 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -484036000 rounded to the nearest one million?\nAnswer: -484000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/(1\/(-6)). Suppose 53*w + 48*w - 115*w = -84. Is w >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bd3 - 2a?\nAnswer: ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 2)*(-148*b**2 - 168*b**2 + 149*b**2)*(5*b + 6 - 6) in the form i*b + p*b**3 + z*b**2 + q and give p.\nAnswer: 3340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288*l + 120054 = -74*l. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (2 - -3)) + -1 + (-16 - 4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = -s, 0*r - r - 8 = -2*s. Suppose -4*p + 85714 = r*q, 4*p - 3*q - q - 85696 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*x - 6*x + 8*x - 50*x - 8*x - 2 to c + z*x and give z.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*18\/(-28)*(-399)\/(-684).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t + 61. Is 64 a factor of s(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -4. Let t = -825 + 17317\/21. Let a = -2\/3 - t. Is a bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (sqrt(44)\/sqrt(4)*-6)**2 - (sqrt(11) + 1 + sqrt(11) + -4 + 4)**2)*3*6 + -1.\nAnswer: -6301 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2. Let g(o) = 0*o + 1 - 3*o + 4*o. Let b be g(1). Let m(q) = -b*q + 3*q + q. Give m(i(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1273\/(-1463))*(-119 + 14) - 14?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9754 + 9675. Is w bigger than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*u = 147*u - 1987 - 2269 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1537 is divided by 111.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3554840 and 724.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 33\/((-3960)\/(-8))*15*1\/(-59)*-1\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -439, -977, -1865, -3181, -5003?\nAnswer: -7409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 115, 7, -2, 3 in increasing order.\nAnswer: -4, -2, 3, 7, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + 10 + 0 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 6:06 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 146 = -3*r, -r + y = 7 - 56. Suppose r = 3*d + 3*d. Calculate the smallest common multiple of d and 34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 9:58 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -4*n - 4*h - 7, 5*h = 4*n - 33 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 15*w**2 - 5*w - 31. Let u be m(17). Suppose -2*h = 3*y - h - 458, 3*y - 3*h = u. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1963125 is divided by 981484?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 + 9)*-3*1. Let w be (-2)\/(n\/((-324)\/8)). What are the prime factors of (w\/(135\/(-370)))\/(1\/(-3))?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 2*a + 1. Suppose -q + 8 = 4*h, 0 = -4*h - 3*q - 92 + 108. Let p(j) = j. Give h*u(r) - 4*p(r).\nAnswer: 2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*n + 120. Suppose 5*w = w + n. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 7) + 276\/66. Which is the smallest value? (a) 0.5 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*b + 112, 4*w + 5*b = -0 + 134. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 4)*(-8)\/(-16). Let u = 16 - w. What is the least common multiple of 2 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 12*m. Let c(b) = -123*b + 30*b - 13 + 87*b. What is c(z(l))?\nAnswer: -72*l - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/299, -1, 1\/3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3262507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.48 - -31. Let v = s + -0.02. What is the second smallest value in v, 3\/4, -1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f - 74*f = -714 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1459*m - 2 - 556*m - 627*m.\nAnswer: 276*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.5 - 7.58. Let m = 17 - 17. Which is the second smallest value? (a) u (b) 0.3 (c) -4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3882976?\nAnswer: 2, 121343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035916 rounded to 5 dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-18)*p*p**(-1\/5)*p**6*p**(6\/7) assuming p is positive.\nAnswer: p**(-362\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3))**(-1\/11)\/((n*n**(-3))\/n)**(-25\/2) assuming n is positive.\nAnswer: n**(-819\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 6*t - 6. Let i(w) = w**3 - 7*w**2 - 8*w + 3. Let v be i(8). Let r be u(v). Suppose k + k = -r*k. What is k rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.223856 plus -4?\nAnswer: -3.776144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 7\/(-3)) + (-45)\/(-27). Suppose 0 = -h + 3*g - 13 + 72, 0 = -l*h - 3*g + 82. Round h to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -919, -11578, -22237, -32896, -43555, -54214?\nAnswer: -64873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (11946\/(-905))\/(3\/15*-2)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129684 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*o - 4 - 4, -5*o = 20. Which is the smallest value? (a) -5 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8783*x - 685299 = 601*x + 305*x for x.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1548, 2529, 4168, 6471, 9444, 13093, 17424?\n\"Answer: f**3 + 323*f**2 + 5*f + 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(-4*sqrt(768)).\nAnswer: -sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.8 and -6.758.\nAnswer: 52.7124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 7639520?\nAnswer: 7639520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 15) + 4 + -1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 + 22 + 19 - -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbb when three letters picked without replacement from btttbtjbbt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -325 - -354. Suppose 3*d - 11 + 92 = 0. Let c = l + d. Solve 5*j = -5*y + 40, c*y - 6*y = 5*j - 37 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13115?\nAnswer: 5, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 4*w - 5. Let u be g(5). Suppose -18 = x - 2*a, u = -2*x - 4*a + 2*a - 18. Let v = x + 19. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11071 and -0.039?\nAnswer: 11070.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37.639753 and -0.4.\nAnswer: -15.0559012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, k: 1, y: 3, i: 6, f: 3, p: 1}. What is prob of picking 1 i, 1 p, and 1 k?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -198810000*v**2 + 56400*v - 4 = 0.\nAnswer: 1\/7050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 34237.1*-0.3\nAnswer: -10271.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhaep. Give prob of sequence ph.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3967*k - 15873. Determine b(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 689*u**3 + 587 wrt u?\nAnswer: 2067*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1617)\/882*(-1)\/(-4) and -49\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4480084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 2*n - 1. Let m(r) = 10*r**2 - 13*r + 11. Let j(y) = -22*c(y) - 2*m(y). Determine p, given that j(p) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 197998*i + 2. Let d be t(1). Round d to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3471 and -0.117.\nAnswer: -3471.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + sqrt(704))*-1 + (-1 + sqrt(704))*5 + sqrt(704)).\nAnswer: -240*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2\/11, 36, -0.2, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3 - (54 + -32) - (50 - -3)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/14 - -3\/14. Let u = 2 + -2. Let c = 0 - u. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h, -3*o + 5*o = 4*h + 22. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 + 4*s + 12. Let i be f(-5). Suppose -i = m - 4*m. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 71.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -373*i**2. Let d(r) be the third derivative of r**6\/360 + 5*r**3 - 3*r**2 - 2*r. Let u(n) be the first derivative of d(n). Give u(a(c)).\nAnswer: 139129*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -48 (c) -5 (d) -0.2 (e) -461\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:26 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*k + 154 + 157 - 53 + 124.\nAnswer: 27*k + 382","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*r + 26*r - 14*r**2 - 591*r + 13*r**2 to f*r**2 + p*r + s and give p.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21682879?\nAnswer: 43, 293, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) + (1*(sqrt(68) + -1*sqrt(68) + sqrt(68)) - sqrt(68)) + sqrt(68)) - 5*(sqrt(68) - sqrt(68)*2))\/((sqrt(128)\/sqrt(8))\/sqrt(4)*-6).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + 79 + 1 + -62?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/(-360)*8\/(-6)*(-3)\/25.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 + -5.13. Let x = l - -10. Let j = -8 + 7. Which is the closest to j? (a) x (b) -2\/21 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -121649*x + 121654*x - 4*y, 3*x - 5*y = 136 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 643285 to the power of 1\/2, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-34)\/18 + 2). Let k = -2282\/495 - -7\/45. Calculate the common denominator of (-1)\/c + 2 + -3 and k.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-416))\/(2\/16*1272\/(-106))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w\/(w*(w*w**(25\/4)\/w)\/w)))\/w*w)\/w*w**(-37))\/(((w\/w**26)\/w)\/w**(5\/6)) assuming w is positive.\nAnswer: w**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o + 1555. Let b(f) = -6*f - 745. Determine 7*b(i) + 4*t(i).\nAnswer: 2*i + 1005","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3\/8 + 737199*o**2\/8 + 184305*o\/2 - 1105803\/2 = 0. What is o?\nAnswer: -3, 2, 245734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - d**2)*(-91*d - 9140 + 9140) as o*d**3 + x + u*d + s*d**2 and give o.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2563923?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171*j - 186*j**2 - 200*j**2 + 357*j**2 - 11*j wrt j?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -2*r**2 - 8*r - 12. What is the remainder when -4*(6\/(-4) - 1) is divided by o(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -120?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 - (-1 + -48)) - (-53 - (-53 + -12))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-4)\/b)\/b)**43\/((b\/(b*b**(-3)))\/b)**(-42) assuming b is positive.\nAnswer: b**(-131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/58)\/(2*(-6)\/(-8))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.133, 0.06, 0.2, 39, -2.96, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138.7 - 152. Let s = y + 13. Let f = 4.94 - -0.06. Which is the third smallest value? (a) f (b) s (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3303432.\nAnswer: 2, 3, 11, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -356524 + 715055. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5147208.\nAnswer: 2, 3, 11, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27991789 >= 55983575\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 102220002102001 (base 3) to base 6\nAnswer: 343243131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*a = -c + 50999992, c - 25499996 = -4*a. Suppose -h = 5*k + c, -3*k + h + h = 15300008. What is k rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 10*l + 16, 0*n - 3*l + 6 = 3*n - 5*n + 6*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 60*s**3 - 211205*s**2 - 563560*s - 281820 = 0?\nAnswer: -2, -2\/3, 14091\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 13053\nAnswer: 13064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(325)*2*6 + -2 + -1 + sqrt(325) - -1*(-2 + 1*sqrt(325))**2*6.\nAnswer: -55*sqrt(13) + 1967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80166726?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/14953145 + -124903619573\/4575662370. Let l = x + 516\/17. Find the common denominator of l and -97\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 411045382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**4 - j**3 + j**2 - j + 2. Let s(p) = 20*p**4 - 42*p**3 + 24*p**2 + 14*p + 12. Let a(z) = -28*r(z) + 2*s(z). Find y, given that a(y) = 0.\nAnswer: -1, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 7*t + 18. Let a be 3\/(3\/5) + 28 + -29. Solve -p = a*q - 12, -5*p = -2*p - t*q + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/9*(-6)\/(-4). Let b = -6.4 + 6. Let m be (1\/(-33))\/((-329)\/3619). Sort m, a, b in decreasing order.\nAnswer: m, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 59. Solve v - 2*g = 1, -5*g = 5*v + 42 - b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 13. Find the first derivative of -q*t**2 + 9*t**2 - 3 + 7 wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 6 - -4) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-11\/2)*n**(2\/7)*n*(n\/(n*n\/n**(-13)*n))\/(n\/(n**(-1)\/n)) assuming n is positive.\nAnswer: n**(-143\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 12:15 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nenvnnvv. What is prob of sequence vvee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 = 1429*d - 1433*d + 5*s, 3*s - 227 = -4*d for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*m + 4, 2*j = 3*m - 0*m - 3. Solve j = 3*q - 10 + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37297 and 1222949?\nAnswer: 1963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*q - 49 + 39, -b - 2*q + 11 = 0. Factor -108\/5*m - 18\/5*m**2 - 216\/5 - 1\/5*m**b.\nAnswer: -(m + 6)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2034858 and 2016.\nAnswer: 97673184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -910540*f**2 + 188*f + 663?\nAnswer: -1821080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/237 + -188\/1659. Let g be 0 + (-2 - (0 - 0)). What is the nearest to g in -1\/2, c, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13344130 (base 6) in base 3?\nAnswer: 211211101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r - 48 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 4620?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2342 (base 15) to base 11.\nAnswer: -5697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1018736, 4074929, 9168570, 16299659, 25468196?\n\"Answer: 1018724*f**2 + 21*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210 or -209?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-54)\/(-15) + 408\/120. Let p(i) = 5*i**3 + 11*i**2 - 2*i + 19. Is 37 a factor of p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(-2 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 1371*b + 4086.\nAnswer: 3*(b - 454)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 157845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53355 = 3*i - d, -4*i + 71108 = -35*d + 39*d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 - 15\/(-9)*(-144)\/20. Let a = 1\/2167 - -4923\/4334. Is a greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 12*h**2 - 7*h + 7. Let f(y) = 13*y**2 - 6*y + 6. Give 7*f(t) - 6*n(t).\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0218 - 0.070070421\nAnswer: -0.048270421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 2*a - 23. Suppose 11*u + 14 = 9*u. Let f be r(u). Solve -4*x = -f, -24 = -4*g - 3*x - x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8690025 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27468829, 54937646, 82406465, 109875286, 137344109, 164812934?\n\"Answer: q**2 + 27468814*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153 and 48501?\nAnswer: 48501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 + -263. Let h = t - -267. Which is bigger: 111 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 71. Is h(-27) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -53. Let f be 6 - 1 - (0 + -1). Suppose 2*n = -8*a + f*a + 72, 0 = 2*n + 4*a - 66. What is the greatest common divisor of n and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35920271 - -35920272.00000035. Let o = -1 + h. What is o rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 5*v**2 - 8*v - 8. Let b be 1\/(-2*(4 + 235\/(-60))). Determine u(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Let c(o) = o**2 + o. Let g(h) = -6*h**2 - h. Let y(r) = v*g(r) - 3*c(r). What is the second derivative of y(s) wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 477.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 555 - 156. What are the prime factors of c?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5695, 5697, 5699, 5701, 5703, 5705?\nAnswer: 5707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4676195.\nAnswer: 5, 31, 30169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 6. Suppose -27 = 53*m + 27 + 52. Let h(i) = -i**2 - i + 1. Give m*h(o) - 2*j(o).\nAnswer: 2*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 65585454 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.00864 at most as big as -0.94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - 12*t - 2. What is n(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1112049 and 25406044.\nAnswer: 24293995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 370415 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85355*x**2*y + 2*x**2 - x*y + 25*x - 4177*y wrt x.\nAnswer: -170710*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 2:22 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 6573*d + 6570*d = 5, 0 = 3*u - 4*d + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t - 1\/8*t**4 + 12*t**2 + 0 + 1\/30*t**5 + 0*t**3. What is the second derivative of d(b) wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -139597207432233 and -1?\nAnswer: 139597207432232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(((-6)\/60)\/(((-539)\/7)\/(-7)))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -153*o**2 + 1\/22*o**5 + 0 + 13\/66*o**4 + 0*o + 0*o**3 + 1\/660*o**6. Suppose r(m) = 0. Calculate m.\nAnswer: -13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -17*f + 12. Let z be -7 - ((-15)\/5 + 3). List the prime factors of s(z).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z = -39*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-877 - -901) + (1 - 0) + -7 + 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = n - 5, -2*n + n - 2*a - 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9886 - 9885.982541. What is d rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -1857*z**7\/70 + z**5\/30 + z**4\/12 - z**3\/3 - 4*z**2 + 8*z - 18. Find the third derivative of f(t) wrt t.\nAnswer: -133704*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*12\/816*8?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a micrometer in nanometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22821? (a) 1 (b) 77 (c) -2\/25 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 7:41 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 78036 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 276016313*r + 552032603*r - 276016290*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/14)\/(-2))\/1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 297 - 294. Let h(i) be the second derivative of 0 - 1\/2*i**2 - u*i - 1\/3*i**3 - 1\/12*i**4. Let h(d) = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in seconds?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1835541 divided by 3999?\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6.4. Let j = 23249 - 23249.6. Which is the nearest to 0? (a) 1\/3 (b) j (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**3 - 4*x**2 + 4*x - 1. List the prime factors of s(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 27, 20, 13, 6, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x - 168 + 797 = 0 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**2 + 12*j - 14. Calculate u(-5).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14394 = 1701*g + 698*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -1) + 2 + 19.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.01, -0.3, -5, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:31 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8564, 8565, 8566, 8567?\nAnswer: 8568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 4512426.\nAnswer: 36099408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21522 = -26*d + 4582. Factor -1008*u - u**2 - 169 + 1986*u - d*u.\nAnswer: -(u + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/(-18)*9\/6. Suppose -g*k - 56 = k + 4*t, 5*k - 2*t = -62. What are the prime factors of (296\/k)\/((-2)\/3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 19*t**2 - 20*t. Let p be m(16). Suppose -p = -17*d + 13*d. Suppose -3*s + d = s. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -c846?\nAnswer: c84a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 7*p - 10. Let v be h(-4). Suppose v*b + 5*y - 88 = 7*y, 2*b - 5*y = 88. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4322 is divided by 181.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*7\/(42\/492). Let q(a) = a**3 + 5*a**2 + 6*a + 7. Let m be q(-5). Let b = m - v. What is the remainder when b is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 3:51 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 37524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/22 and -3\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5633 and 12052?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 17*p = 15. Calculate the remainder when 99 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 8, 0, -26, -76, -156, -272?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*g**3*s + 196*g**3 + 2*g**2*s - 2*g**2 - 144*g + 66*s wrt s?\nAnswer: 29*g**3 + 2*g**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = 3. Let y be 25120\/112 - r\/7. Let h = y - 123. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) -1\/118 (c) 2\/5 (d) 1 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 4*f + f + (7*f + 10 - 10)*(-4 - 2 + 4).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 27 = -k - m, 0 = 3*k - 4*m - 18. Let a = k - 6. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 15*q - 8. Give t(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 - o**2 - 3*o - 3. Suppose 0 = 4*z - f + 6, 0 = 41*f - 40*f + 2. Calculate x(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41510 and 910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 1\/16*i**4 + i**2 - i - 12 - 5\/12*i**3. Let f(l) = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**4\/12 + 7*t**3\/6 - 5*t**2\/2 + 6*t. Calculate y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + 2 - 2 + ((2 - 2 - t)*(-4 + 4 - t) + 49*t**2 + 67 - 67)*(-3*t + 3*t + t).\nAnswer: 52*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfm when three letters picked without replacement from fmmfbdvd.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96304 - -96304. Let d = -5 - -3. Sort 29, d, z in decreasing order.\nAnswer: 29, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d + 1. Let b be y(-1). Let z be 99\/6 + (-3)\/6. Suppose 19*p - 9 = z*p. What is the third smallest value in b, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 - -117. Let d(w) = -l*w**2 - 29*w + 14 - 8*w + 50*w - w**3 + w**2. Calculate d(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2181, 1, 2.\nAnswer: -2181, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 178710128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x - 5*z - 4070 = -32*x, 2*z - 2422 = -3*x. What is the greatest common divisor of 5346 and x?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 582*k**3\/5 - 84968*k**2\/5 + 3100894*k\/5 + 21316\/5.\nAnswer: 2*(k - 73)**2*(291*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 57 + 27. Let t = -11 + w. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04085 + -1.66785. Is u greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-8\/3)\/i*(i*(i*i**33)\/i*i)\/i)\/((i\/(i*(i*i\/i**(-12\/5)*i)\/i*i))\/i)**26)**(-23\/3) assuming i is positive.\nAnswer: i**(-68218\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84377167198245 - -0.6.\nAnswer: 84377167198245.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + r**2 + (3 + 3 - 1)*(r**2 + 2*r**2 - 5*r**2) - 6*r**2 - 4*r**2 - 6*r**2 - r**2 + 3 - 4 - r**2.\nAnswer: -27*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*x + 6, 2*y = -0*y + 3*x + 4. Let w(r) = -r**3 + 4*r**2 + 2*r + 1. Let f be w(4). Suppose j + f = 2*p, 3*j + 8 = -7. Solve y*k = -p*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 488\/(-1525)*-350 + -29\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137 + 673. Calculate the highest common factor of h and 6834.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1909, -89, 3, 4 in increasing order.\nAnswer: -1909, -89, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 6. Calculate the lowest common multiple of o(-2) and 3\/15 + 58\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -279 - -523\/2. Which is the nearest to o? (a) -0.5 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {r: 2, k: 1, q: 3, u: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -63.6. Let s = -4 - -4.1. Put p, 3, s in descending order.\nAnswer: 3, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 123516*m**2*s**2 - 152*s**2 + 46 wrt m?\nAnswer: 247032*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -0.5, 32, -251, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(117) + 5 + (sqrt(117)*-1*-3 - sqrt(117)))**2 + 0 + -2.\nAnswer: 180*sqrt(13) + 2154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121100202 - 10?\nAnswer: 121100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30001 + -112311?\nAnswer: -202312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*y - 22, 5*y = 4*u + 10 - 48. Let q be (u\/15)\/(18\/45). Solve 4*f = -4*z, -3*f - q*z - 4 = -2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.109004769 - -8.109. What is j rounded to 7 dps?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/9 of a hour in seconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*w - 32, 5*k - w - 17 - 7 = 0. Solve -k*f - 28 + 8 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, v: 2, h: 2}. Give prob of picking 1 g and 1 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3161, -3233, -3401, -3713, -4217, -4961?\nAnswer: -5993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 6544206 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1928 divided by 547\nAnswer: -1928\/547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1639582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 512566776 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6 - (-15)\/6. Let q(c) = 1 + 0*c**3 - 2*c**3 - 2*c**3 + r*c**3 + 2*c**2 + 2*c. Let u be q(-1). Solve 0*w - 4 = u*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7*y = -4*u + 33, 3*y = -u + 21. Let g = u + -12. Factor -v**3 - 1\/3*v**4 - v**2 - 1\/3*v + g.\nAnswer: -v*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2 = -7. Suppose -g - 2 = -f*g. Let r = 4 - g. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, 8, 7, 4 in ascending order.\nAnswer: -2, 4, 7, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264233629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.01648 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 51. Solve 0*x - m*x - 6 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.85371l to millilitres.\nAnswer: 29853.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729\/12 + 5 - (-5)\/20 is divided by 56.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-63)\/(-36))\/(2\/48).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4346, 8685, 13024?\nAnswer: 17363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/7))**(-2\/5)\/(l**13*l**(3\/8)) assuming l is positive.\nAnswer: l**(-3681\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**4 + a**3 - a**2 - a. Let y(p) = -2*p**4 - 6*p**3 + 2*p**2 + 6*p. Let w(v) = 4*n(v) + y(v). Factor w(m).\nAnswer: 2*m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 34*a - 160. Give j(-34).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 213704595 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*v + 3, q = -2*q + 4*v + 66. Calculate the least common multiple of 22 and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/29))**(-3\/4) assuming z is positive.\nAnswer: z**(-9\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(-1*sqrt(10))*5.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.73 + 0.27. What is the third biggest value in 0.4, h, 1, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.017, 1\/36155, 0.3, 4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12595 or 12602?\nAnswer: 12595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*z = 2*p - 2450, -5*z - 1625 = -2*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:51 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**5\/20 - k**4\/3 - 7*k**3\/2 + 156*k - 1. Let v be b(-3). Let u = -8 + 4. Sort v, 4, 14, u.\nAnswer: u, v, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 631314 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 3\/2 (c) -1\/2 (d) -31 (e) -4 (f) -0.88 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/48 + o**3\/24 - 95*o + 1. Solve n(d) = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = 7*k - 52 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -b - 3, -b + 42 = -132*z + 128*z. Let g(i) be the first derivative of -4*i**2 + 1 - 5\/3*i**3 + 1\/4*i**4 + i. Calculate g(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 5*u**2 + 4. Let m be a(5). Solve -m*q + 7 + 5 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -12*w - 10. Let j be ((-10)\/(-15))\/((w\/27)\/5). What is the second derivative of 13*t - t**4 - j*t**4 - 5*t**4 wrt t?\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2034 (base 11) to base 6.\nAnswer: 20255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180485132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.4444 and -0.085318008.\nAnswer: 3.359081992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, w: 2, u: 2, y: 1, o: 1, x: 1}. What is prob of sequence yuxo?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 45878.55 millimeters?\nAnswer: 4587.855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1452) + -1)*6 + sqrt(1452))**2.\nAnswer: -1848*sqrt(3) + 71184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1821*a**2 - 70*a - 119. Is k(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 1\/8, 49?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 26*n**2 - 2*n**3 - 3*n**4 + 1 - 28*n**2 in the form a*n**4 + w*n**2 + p*n**3 + y + j*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1933 (b) 26\/5 (c) -3 (d) 3\/11 (e) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*c - 93245, 18*v - 5*c = 19*v - 31089. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/4)\/(6\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + -3*sqrt(88)\/sqrt(8))**2 + (6*sqrt(198))\/(5*sqrt(50)).\nAnswer: -282*sqrt(11)\/25 + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -126 + 135 + 806\/(-86). Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 + 7 - (-82 + 83)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16851 and -0.5.\nAnswer: -0.084255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 3}. Give prob of sequence zw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - 0\/(-8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + 3*q - q)*(5 - 4 + 0) + (2 - 2 - 2*q)*(5 - 5 - 2) + 2*q - 3*q + 0*q to the form c + p*q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102235 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -42192*n - 6413168. Give c(-152).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504580963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -3\/1364, -1\/10, 6 in increasing order.\nAnswer: -1\/10, -3\/1364, 6, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6656621519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 - 130 = -63*o + 6. Let p(l) = 2*l**2 + 9*l - 1. Let a(z) = -3*z**2 - 10*z + 2. Let b(j) = -3*a(j) - 4*p(j). What is b(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 777450 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -76. Let i(k) = 2*k - 5. What is i(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 47*n**3 - n + 14*n**3 + n**2 in the form o*n**2 + i*n + t*n**3 + d and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8320 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 31*y**2\/2 - 2*y - 14. Is o(1) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(-1 + (sqrt(12) + (sqrt(12) - sqrt(96)\/(-3*sqrt(8))))\/(4*sqrt(18)\/sqrt(3))).\nAnswer: -5 + 7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/4 or -3\/19?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -24.227. Round u to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -93729a8 + -4?\nAnswer: -9372a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 22. Suppose 3*q = 2*r + 18, 3*q - 2*q = n*r + 19. Solve q*p = 9 + 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 36. Suppose 0 = -z - s*d - 15, -5*z - 2*d + 8 + 7 = 0. Sort z, -8, 1, -2 in descending order.\nAnswer: z, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:13 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -201200210 (base 4) to base 7\nAnswer: -1111103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2.3, -2\/13, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(5)*-3 + sqrt(5))*-3)**2 + sqrt(20)\/sqrt(4) + 1 - 1*(-1*(-1 + sqrt(5)) + (2 + -1*sqrt(5) - sqrt(5))**2).\nAnswer: 21 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmsomjjs. What is prob of picking 1 j and 1 o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0*c**2 - 17*c**3 + 26*c**3 + 3*c + c**2 - 10*c**3 to v*c**2 + y*c + f*c**3 + s and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 36.7 (b) 0.2 (c) -4 (d) -2\/17 (e) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -3402.\nAnswer: -3402, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -26.6. Let b = -0.1262 + 0.5262. What is the closest to 0.1 in -0.08, r, b, -4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*c*l**2 + 195*c*l*t + 26586*l**2 + l*t wrt c?\nAnswer: -33*l**2 + 195*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1\/2, 5, -1, 24 in ascending order.\nAnswer: -1, -1\/2, 3\/4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112120 (base 4) to base 7.\nAnswer: -22055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/17)*w*w*w)**(-2\/15))**(-33) assuming w is positive.\nAnswer: w**(1518\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 a when three letters picked without replacement from aqqqaaaaqaaaaqaa?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -25. Let y(h) = 8*h**3 - 6*h**2 + 7*h. Suppose 73 + 179 = 42*x. Let d(s) = 15*s**3 - 11*s**2 + 13*s. Determine o*y(t) + x*d(t).\nAnswer: 2*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864951521?\nAnswer: 7, 523, 236261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -2222310?\nAnswer: -2222301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 67. Let m(d) = 6575*d - 616735. Determine 2*m(z) - 18410*v(z).\nAnswer: -5260*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*l, 5*l - 1 = 2*r + 6. Suppose r*g = 9*g - 35. Let s(h) = 10*h - 7. What are the prime factors of s(g)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 3*n - 2*n + (n - 4*n + 2*n)*(-2 - 41 - 5).\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -456990 rounded to the nearest 1000?\nAnswer: -457000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**3\/6 + 3*k. Let s be g(5). Is 10 a factor of (-1)\/s - 1788\/(-60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*3\/114*2. Let r = w + 65\/76. Which is greater: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 77.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 10. Let n(u) = 2. Let j(i) = i**2 + 11*i + 5. Let y be j(-11). Let d(q) = -28*q + 50*q + y - 21*q. Let x(m) = -2*d(m) + 5*n(m). Give f(x(w)).\nAnswer: 4*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11 + 13 - 1 - (-2518)\/(-8). Which is greater: -315 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t + 1. Suppose 0 = -2*o - 3*o. Suppose 4*h - 36 = -4*v, 3*v + 2*h - 24 = -o*h. Calculate the lowest common multiple of v and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-64)\/10*4\/(16\/(-30)). What is the third derivative of -6*v**6 - q*v**2 + 59*v**2 - 6*v**6 wrt v?\nAnswer: -1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 8608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -65503806.7521 and -2.\nAnswer: -65503808.7521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, -121, -2, 5.\nAnswer: -121, -13, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 4:59 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k**3 - 7*k**2 - 15*k + 7. Calculate the remainder when t(-5) is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 950121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t - 13048485 + 13048485 - t**2.\nAnswer: -t**2 + 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -359.7 + 377. Let t = -0.3 + d. Let x = t + -16.6. Which is the closest to 2? (a) x (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 4. Let h be w(-11). Suppose -10*z + h*z + 39 = 0. Calculate the remainder when z is divided by (4\/6)\/((-2)\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/7)\/((-7)\/49). What is the units digit of 4\/q + 6504\/180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/7 + -1)\/2. Let o = 25\/52 - 3\/13. Let q = -1.5 + 1.2. Which is the nearest to o? (a) y (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 11*u**2 - 8*u + 12. Give j(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 - 189 + 91 + 98 - 16*p**2. Let i(l) = -88*l**2. Calculate i(y(b)).\nAnswer: -28512*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 158, 155, 168, 203, 266, 363, 500, 683?\n\"Answer: t**3 + 2*t**2 - 16*t + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyyy when four letters picked without replacement from {h: 2, g: 3, y: 5, t: 7, s: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-111.40261.\nAnswer: 11.140261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1435*n - 81939 = 34296 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -2, -18, -34, -50, -66?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4*m - 5*p + 12 = 0, 0 = 5*m - 5*p + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35635440349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6.3*0.873103\nAnswer: 5.5005489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 525, 787, 1049?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5766*r**3 - 28746*r**3 + 5740*r**3 + 5767*r**3 + 5682*r**3 + 5751*r**3.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -23*z - 249. Let k be s(-11). Let x(h) = -8*h + 6. Let u(r) = 8*r - 5. Calculate k*x(v) + 5*u(v).\nAnswer: 8*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1137 - 1175. What is the second smallest value in -0.14, -2, q, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1141 - 1078. What is the least common multiple of 602 and x?\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7718 (base 15) to base 16\nAnswer: -6287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15598898, -15598896, -15598888, -15598874, -15598854, -15598828, -15598796?\n\"Answer: 3*f**2 - 7*f - 15598894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 32.9686 times 0.5\nAnswer: 16.4843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -6*x + c + 12, -2*x = -5*c - 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2596 and 2.\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = -8. Is 5 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 9:33 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 - 153372*c**2\/5 - 584190234*c + 745851436344\/5.\nAnswer: -2*(c - 252)*(c + 38469)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67578, -270306, -608186, -1081218, -1689402?\nAnswer: -2432738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2. Let n(m) = 483*m**2. What is s(n(z))?\nAnswer: 933156*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l - 231*l**3 + 5*l - 17 + 5*l + 57*l**3.\nAnswer: -174*l**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 162133747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.4 + -3. Let l = -39 + 37.3. Let k = l - -0.7. Which is the second biggest value? (a) k (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l + 1. Let a be (-6)\/(-18) + 20\/(-6). What is the remainder when 11 is divided by s(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3517*l + 1 - 4 + 4*l**2 + 3519*l - l**3. Determine k(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.141.\nAnswer: 0.0705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 33 - 18 - 9889*o.\nAnswer: -9889*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11469211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 38 - 12. Let h = w + 16. Find the common denominator of 57\/10 and h\/6*(-91)\/35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 248 - 244. Suppose h = n*f - 10134, 3*h + 5433 = 5*f - 7238. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/3 - 16954*d**3 - 933641*d**2 + 24848504*d\/3 - 17108112 = 0. Calculate d.\nAnswer: -63, 4, 50917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/444 and 121\/406236.\nAnswer: 15030732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 45. Suppose 28 = 2*l + k*l. Suppose -3*x - 2*x + 648 = h, -399 = -3*x - l*h. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 2*j**2 + 2*j - 1. Let i(y) be the first derivative of y**3\/3 + 19*y**2\/2 + 37*y - 12. Let p be i(-17). Calculate v(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 892767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/12 - (-5769)\/(-12). Is 40 a factor of (-1)\/(2\/n) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2016\/(-192))\/(763\/4796).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8490998l?\nAnswer: 849.0998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 4*k + 41, 58*s + 4*k = 55*s - 31 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14823, 14852, 14881, 14910?\nAnswer: 14939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, k: 2, r: 5, l: 1, o: 3}. What is prob of sequence kro?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/9189 + -9179\/45945. Which is the closest to 0? (a) 3\/4 (b) -0.03 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Factor 2*s - 16*s**4 - s**2 - 5*s**c + 14*s**4 + 6*s**3.\nAnswer: -2*s*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/2 (b) 28\/685 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 5*r + 19*r**2.\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*f - 16 = -15, -k = 3*f + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f + 2. Let l(c) be the third derivative of -7*c**4\/24 + 2*c**3\/3 - 14*c**2. What is 3*l(p) - 5*u(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 3*p - 1, 7*s - 3 = 11*s + p. Which is the nearest to 76? (a) s (b) 1\/5 (c) 3\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375)*-4)\/((-2*sqrt(3) - sqrt(3))*-1) - (4 + (sqrt(5) - (sqrt(960)\/sqrt(12))**2 - (sqrt(60)\/(1*sqrt(12)))**2)).\nAnswer: -23*sqrt(5)\/3 + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -171 equal to 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**3 - 1 - 21*r + 9*r + 31*r**2 + 0*r**3 - 4*r**3 + 14*r to y*r**3 + c*r + k*r**2 + w and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9222, 73689, 248654, 589365, 1151070, 1989017?\nAnswer: 3158454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -761752 and -0.4.\nAnswer: 304700.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 235 + -233. Solve i + 6 = 2*b, -b + c*i = -4 + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -32 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -48*y**2 - 152*y. Let o(p) = 15*p**2 + 48*p. Let m(j) = -19*o(j) - 6*r(j). Let z(g) = -g**2 - 32. What is z(m(u))?\nAnswer: -9*u**4 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359417733?\nAnswer: 3, 2699, 44389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182822373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 42262*c + 263866104.\nAnswer: -2*(c - 26172)*(c + 5041)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -194471 + 43224. Let x = c - -93647. What is x rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 76*p**3\/3 + p**2 + 1150*p + 874. What is the second derivative of j(a) wrt a?\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.019.\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 3*q + 2. Let z be h(0). Let m(k) be the first derivative of k**3 + 3*k**2\/2 - 2*k - 7. Determine m(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12112102 (base 3) to base 14\nAnswer: -1682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8602)\/1309 - (-12168)\/1848?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 18 = 4*g. Let l be g\/(-3*(-4)\/399000). Round l to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/14538630 and 47\/10?\nAnswer: 14538630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*k**2 + 65*k**2 + 4*k + 752*k**2 + 547*k**2 + 226*k**2.\nAnswer: 1309*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 8*q - 7. Let v be b(9). Let f = 3 - v. Let y = f + -19. Solve y*u - 3*z - 9 = u, u + 2*z + 5 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177815505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.5, 3, 4\/1641, -10, -2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k. Let l(d) = 78*d - 12. Let n(b) = 49*b + 233. Let g be n(-5). Let j(h) = -3*h + 1. Let q(u) = g*j(u) - l(u). Determine q(t(a)).\nAnswer: -126*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045 divided by 409?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 38 = -2*q, 215 = 17*q - 7*u + 5*u for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4049, -4051, -4053, -4055, -4057?\n\"Answer: -2*p - 4047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1123*h**3 + 3*h**2 - 2*h + 1555?\nAnswer: -6738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiriirii. What is prob of picking 2 i and 2 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -43. Which is the second smallest value? (a) -2\/19 (b) l (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 0*c**4 + 0*c**5 + 1\/60*c**6 + 2*c**3 + 0 + 18*c**2 + 0*c. Differentiate z(r) with respect to r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 176*u = 1146. Suppose -5*b + 141 = -99. Calculate the greatest common divisor of b and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42, 117, 236, 393, 582, 797?\n\"Answer: -a**3 + 28*a**2 - 2*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/105)\/(1 + (-15)\/14). Let w be ((-41)\/2 + -1)\/(2\/r). Which is smaller: w or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/((-10664)\/4)*4*2?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**2 + 1. Let q be g(2). What is the common denominator of 40\/15*(-3)\/(-11) and (-5)\/q - (-50)\/18?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -187*y - 27. Let r be w(-3). Suppose -r = -5*s + 1036. Is (-2 - -5)\/(6\/s) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -4, 748, -3.\nAnswer: -27, -4, -3, 748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1152*o**4 + 2672*o**2.\nAnswer: 27648*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 23*s + 40 = 29*s, 5*w = -5*s + 100. Let y be -6*((-2 - -1) + 2\/4). Solve -k = -3*u - 15, u + w = -y*u + 5*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 7 - (1 + 0 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 0*x + 13*x - 2*x - 5. Let g be i(4). Suppose 2*m - g - 23 = 0. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t + 36 = 2*z, 3*z + t - 61 = 0. Suppose 5 = 2*g + 5*m, -2*g + 6*m - 22 = 2*m. Let c = g + z. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*w**2 - 12*w + 13*w**3 - 36*w**2 + 14*w + (-9*w**2 + w**2 + w**2)*(-w - w + 4*w) - 4*w**3 + 2*w**2 - 2*w**2.\nAnswer: -5*w**3 + 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2576132969200 less than -23?\nAnswer: -2576132969223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - 12\/(16\/4). Let r be 7 + (b - -4 - 3). Suppose 26 = -r*p + 13*p. Calculate the remainder when 25 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276919654?\nAnswer: 2, 11, 12587257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -436153 (base 8) to base 3.\nAnswer: -21110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-58 + 50 - (3 - 22)) + (27 - (-4 - -8))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1008) + 2 - (((sqrt(7) - (-3 + sqrt(28))) + sqrt(7))**2 + 3).\nAnswer: -15 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.3884 to 1 dp.\nAnswer: 38.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {r: 2, x: 2, j: 3, q: 3, s: 6}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + (3 - 3 - 4). Let h be 2\/4 - (2 - 3\/o). Suppose h = -x - 4*x - 385000. Round x to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8123351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1746 by 9.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, b: 4, m: 5, p: 2}. What is prob of sequence tbpm?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 34654 and 34654 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6449 times -0.01?\nAnswer: -64.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -71037287?\nAnswer: -71037286.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4*r - 55540162*l**2*r**3 + 2*l*r**3 + 14*l*r**2 - 30*l + 12666*r**3 wrt l?\nAnswer: 24*l**2*r - 111080324*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 21*c - 184. Let d be m(9). Suppose 0 = 4*a - 0*a + 16, -d*a = -t + 20. Which is smaller: t or 222\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/3 (b) 23\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 5. Suppose k = -2*o + 5*o - 12. Suppose -f + x = -47, -143 = -o*f - 0*x - 5*x. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(sqrt(2448) + 1)*4 + (sqrt(102) + ((sqrt(102) + 3*sqrt(102))*5 - sqrt(102)))\/(sqrt(24)*4 - sqrt(24)))**2.\nAnswer: 18112*sqrt(17)\/3 + 5448356\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 2*q + 4. Let j be f(-4). Suppose -14*g - 24 - 74 = 0. Let z be (-4)\/7*g - -3. What is the highest common divisor of z and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 + 90 = -110*x + 233. Solve 16 = 3*b + x*g, -6*b + 4*b + 2*g = 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-312)\/40)*(-6)\/30*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23458 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (-6 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*t + 466 = -3*l, t = 0. Suppose -15 = -3*u, -486 - l = 3*z + 4*u. Let i be (z\/8)\/((-6)\/16). Calculate the highest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337345 is divided by 18741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 64013.86645 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -178 - 1776?\nAnswer: -1954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 25*a - 21. Let l be z(24). Suppose -l*m = -10 - 35. Calculate the highest common factor of 195 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**2 - 6*i + 10. Let p(s) = -8*s**2 - 11*s + 19. Give 6*p(m) - 11*w(m).\nAnswer: -4*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) -2 (c) 22\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45075901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7135 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((1 + 1)\/(-2)). Calculate the remainder when 15 is divided by 1\/(-2)*(z + -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 13. Solve 2 = -f*q + 22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 1, r: 1, c: 1, p: 1}. What is prob of sequence lr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-8)*16*18\/54?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -3, 5.9, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 578*x**4 + 156215*x**3 - 297203649 wrt x?\nAnswer: 2312*x**3 + 468645*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 74, 2\/7, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -32.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7882.\nAnswer: 2, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -15*f**2. Let b(t) = t**2 + t - 13. Let i be b(-5). Let g be 17 - (0 + (0 - 0)). Let h(z) = -8*z - i*z + g*z. What is h(k(m))?\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/13936 - 670179\/1937104. Let y = h - 8747\/834. Calculate the common denominator of 67\/4 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/273, 3, 1 in decreasing order.\nAnswer: 3, 1, 11\/273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 45*k**2 + 4*k**2 + 4 in the form f*k + b + m*k**2 and give m.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290876 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 6*a**2 - 9*a - 2. Suppose y - 2 = -9. Let s be b(y). Calculate the common denominator of -5\/12 and (178\/s)\/(30\/(-9)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t**3 - 31*t**2 - 74*t - 44. Let n(v) = -19*v**3 - 61*v**2 - 149*v - 89. Let q(d) = 4*n(d) - 9*p(d). Suppose q(b) = 0. What is b?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 5*o - 9*o + 5*o + 4.\nAnswer: 4*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p. Let l(x) be the third derivative of -2*x**5\/5 - x**4\/6 - 5*x**2 + 2*x. Give v(l(j)).\nAnswer: -48*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*d + m - 16, 0 = -m + 2. Let x be (((-56)\/(-6))\/d)\/(1\/6). Calculate the common denominator of x\/(-12) + 47\/(-3) and 12\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k - 10, 0 = -3*u + 5*k - 37. Let c be 1*u\/8*0. Suppose 5*b - 5*n + n + 40 = c, 5*b + 65 = -n. Do -12 and b have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j**3 + j**2 + 2*j - 10. Suppose -9*d - 9 = 27. Let o be p(d). What is the greatest common divisor of o and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 23 = -5*l, l + 2415*h - 2416*h + 2 - 5 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50.9*-25.\nAnswer: -1272.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424045284 to the nearest integer?\nAnswer: 20592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 2. Let i(h) = h**3 + 4*h**2 + h + 9. Let l be (16\/6)\/(4\/(-6)). Let m(p) = p**3 + 4*p**2 + 8. Let k(c) = l*i(c) + 5*m(c). Determine k(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 802*v - 48 = 800*v. Put 1, -5, v in increasing order.\nAnswer: -5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -164\/3. What is the biggest value in 3, -4, 0.4, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -187, -369, -551?\n\"Answer: -182*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4537.\nAnswer: 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 271250.7g?\nAnswer: 271250700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 443*c**2. Let k(g) = -525*g + 56. Let b(j) = -28*j + 3. Let q(r) = -56*b(r) + 3*k(r). Calculate z(q(v)).\nAnswer: 21707*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.35 + -24. Let m = 0.05 + t. Let u = m + -2.4. Which is the smallest value? (a) u (b) -1\/4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -5 (c) 9 (d) 2\/689 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 3*h**3 - h**3 + 68*h - h**2 - 44*h as c*h + u*h**2 + i + d*h**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and ((-620)\/248)\/((-5)\/18872)?\nAnswer: 56616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1 (c) 4\/7 (d) 43\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/3)\/2)\/(574\/(-1476)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 3. Suppose 2 - 53 = 17*r. Let s(x) = -1. Let y(l) = -2. Let d(g) = -3*s(g) + 2*y(g). Determine r*f(v) - 8*d(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2. Let x = 6 - 6. Let d = 1 + x. Let r(u) = u**2. Determine d*a(t) + 2*r(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 1aa?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116003*u**3 - 464019*u**3 + 116004*u**3 + 116004*u**3 + 115998*u**3.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200012033 + 11?\nAnswer: -200012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25127 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: Simplify (m**(-1\/4)*m)\/((((m*(m*m**(1\/14))\/m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 take away 14?\nAnswer: -13.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**2 + 10*v + 5. Let g(r) = 5*r**2 - 7*r - 4. Let j(x) = 4*g(x) + 3*s(x). Suppose 3*d + 17 = -4*n, -d - 32 = 5*n - 8. Give j(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754358 divided by -27?\nAnswer: -584786\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 739 = -4*s, 0 = 5*s - 5*z + 10*z - 915. Let h = s - -25. List the prime factors of h.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65469561?\nAnswer: 3, 21823187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0527265+-5\nAnswer: -4.9472735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 11*n**2 - 13*n - 1. What is p(-10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (3 - 12) + 4 - -2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*r + 13, 0*r + 5*r - 10 = 5*d. Let b be 2 + r + -3 + -2. Solve 8 = -3*h - b*z, 0*h - 12 = 5*h + 4*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -102521*w**2 + 187*w**3 + 102521*w**2 - 9*w + (w + 0*w - 3*w)*(0*w**2 - 3*w**2 + w**2) as f*w**2 + k*w + o*w**3 + d and give o.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390658739.\nAnswer: 29, 173, 77867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*h - 12, -2*h - 8 = 4*p - 0*h. Let y be -4 + 1 + 3 + p. Let u(n) = -n**3 - 2*n**2 - 2. Let w be u(y). Solve 2*i + 4 = 0, 5*f - i - w = 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2120011 (base 3) to base 9.\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*f - 516*f = -152 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.564 + -21.064. Let z = 7 + 10. What is the smallest value in d, 1, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 12*s - 956. Let k be t(82). Solve -h = -2*o + 4, -o = -4*o - 4*h + k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 v when three letters picked without replacement from {v: 13, e: 5}?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7616)\/160)\/14*5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -3, -5 in descending order.\nAnswer: 71, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s + 2 - 2. Let g be (-1)\/(-2)*9\/(45\/20). Let z(h) = 2*h + g*h - 3*h - 2*h. Give y(z(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138 and 27.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12959100 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = -66 + 192. Let p(s) = s**2 - 16*s - 6. Give p(z).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 514 + -887. Let c = y - -772. Suppose 11*a - 2802 = c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:15 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3 - 0) + 0. Let u(q) = -q**2 + q + 1. Let g(b) = -2*b**2 + 3*b + 5. Give p*g(v) + 3*u(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*r*z**5 + 839*r*z**3 + 63*r*z - 57*r - z wrt z.\nAnswer: -40*r*z**3 + 5034*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -10*w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-10 - -1) - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 47*g**2 - 289*g + 47. Let y be k(6). Let p(x) = 17*x**2 + 4*x - 7. Let w(c) = 8*c**2 + 2*c - 4. Calculate y*w(b) - 3*p(b).\nAnswer: -11*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 45.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1053749 millennia?\nAnswer: 1264.4988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3090333 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - x - 18 + 15 = 0, -j - 3*x = 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + 0.2. Let b = -4.19 + 0.19. What is the nearest to -0.1 in -1\/2, d, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7157, -14396, -21633, -28868?\nAnswer: -36101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 38. Let l(c) = 13. Give -2*g(q) - 7*l(q).\nAnswer: -2*q**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5603484, 11206943, 16810400, 22413855, 28017308, 33620759, 39224208?\n\"Answer: -h**2 + 5603462*h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 2*p - 46626 + 46626.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*t - 1)*(t**3 - t**3 - 2*t**3) + 3*t**4 + 0*t**3 - 2*t**4 + 2*t**3.\nAnswer: 5*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 7*t)*(-t**4 + 4*t**4 - 6*t**4).\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 719*v - 52296. What is p(101)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48 + 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 1\/24*m**4 + 0*m**5 + 0*m - 1\/105*m**7 + 0*m**3 + 0*m**6 + 0 - 3*m**2. What is the second derivative of h(d) wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41947.45t to nanograms.\nAnswer: 41947450000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -59*x + 3. Calculate g(-1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -132, -203, -278, -357?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j - 8126 + 8182. What is the smallest value in 0.4, j, -2\/45?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 130267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*y**4 - 10*y**3 + 622*y**2 + 884851 with respect to y.\nAnswer: -72*y**3 - 30*y**2 + 1244*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 98.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from {w: 1, o: 2, a: 2, n: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*b + 6*b. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 86*m. Let f be (4\/3)\/((-4)\/(-3)). Does 24 divide y(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12590450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8730*f = -8733*f + 2*z + 14, -4*f = -8*z - 40 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-55)\/2))\/((-122)\/4066260*-202).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 + -2.3. Let j = b - 2.12. Let l = j + -0.08. What is the third biggest value in l, 1\/7, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125969164, 125969166, 125969168, 125969170, 125969172, 125969174?\nAnswer: 125969176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183710*f**5 - 2*f**4 - 782*f**3 + 319632762*f**2?\nAnswer: 11022600*f**2 - 48*f - 4692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -12*a + 13. Let g(n) = n**2 - 15*n - 444. Let v be g(30). Determine l(v).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30114167263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 - f**4 - f - 11 + 3 + 11 + 15*f**3 + 9 to b*f**3 + q*f**4 + y*f + u + g*f**2 and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -7, -24, -97, -262, -555?\n\"Answer: -6*o**3 + 26*o**2 - 33*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/5)\/(((-627)\/110)\/19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 955*g - 190999. Give b(200).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000392309 to six decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v = 504. Suppose -k + 6 + 29 = 2*u, -4*u + 67 = k. Let f be ((-108)\/16)\/((-6)\/u). Calculate the greatest common factor of v and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 - 2*x**4 + 7*x**3 - 4*x**2.\nAnswer: -x**2*(x - 1)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(6*4\/(-4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 7:26 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtjtxjgxjt. What is prob of sequence tjxj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + t + 20, -2*t - 16 = -k - k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 35, -1\/4, -1, 104\/115?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 720 - 698. Let x(s) = 16*s + 16. Let n(t) be the third derivative of t**4\/8 + t**3\/2 + 13*t**2. Give w*n(m) - 4*x(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*(-180)\/(-420).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8819981 divided by 14\nAnswer: 8819981\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 595627697 and 595627698 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 6928*u**2 - 225*u**2 - 3*u**3.\nAnswer: -u**3 - 7153*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -4\/15*j**5 + 1\/9*j**6 + 1\/6*j**4 - 106 + 0*j**3 + 0*j + 0*j**2. Determine n, given that u(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1714\/11 - -156. Sort -0.2, 0.7, a in decreasing order.\nAnswer: 0.7, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 16*c**2 + 14*c - 16. Let g be o(-15). Suppose 3*v - 3*d + 312 = 0, 4*v + d = -0*d - 406. Is (g\/2)\/(1\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22325 = -13*z - 6*z. Is 47 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14326 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: What is the lowest common multiple of 353958 and 42904?\nAnswer: 1415832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**4 - 11*f**2 + 6*f - 6. Let y(h) = -h**2 - h + 1. Let i(x) = -w(x) - 6*y(x). Find the third derivative of i(u) wrt u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091659707?\nAnswer: 3, 40431841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 88, -11913, 3 in descending order.\nAnswer: 88, 11, 3, -11913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*k**2 - 6*i*k - 15030*i + 674*k**2 + 6*k - 3733 with respect to k.\nAnswer: 4*i*k - 6*i + 1348*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 minus -0.469?\nAnswer: -130.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, 9, 12, 17, 24, 33?\n\"Answer: g**2 - 2*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2733 - 1915. What are the prime factors of j?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58.5 + 61722.34.\nAnswer: 61780.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324596857.\nAnswer: 13, 53, 193, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 13*h - 15. Let q be o(-15). Solve l = 3*k + 11, -q*l + 18*l + 32 = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -27*g**2 - 4*g. Let h(y) = -3*y. What is d(h(m))?\nAnswer: -243*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 590*y + 3212. Let u(h) = -454*h - 2409. Give 10*a(i) + 13*u(i).\nAnswer: -2*i + 803","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = 15*u + 38*u - 77*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153 - -243. Suppose 0*w + 4*w = 3*g + x, -4*g = -3*w + 71. Solve v = -2*v - 2*a + 5, -w = 5*v - 4*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645*(-377)\/(-39) - 14?\nAnswer: 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130499*u**4 + 151*u**3 + 2209*u**2 - 3368*u - 2 wrt u?\nAnswer: -3131976*u + 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8455 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6)*10*-1. Let s = -3 - t. Let a be 11 + (6\/(-1))\/3. Solve s*d + 1 = 5*o - a, -20 = 4*d - 4*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**3. Suppose 5*z + 15 = 0, -4*v - 18 = -7*v + 3*z. Let m(s) = 4*s**3. Calculate v*t(g) + 4*m(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*y + 49 = 0, 18*q - 2*y = 14*q + 42 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 11*k + 280. Let u = -52 - k. Solve 5 = -i + u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 4*r**2 - 2*r - 12. Determine u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-15)\/(-9)) - -383. What is the greatest common divisor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 317.71 - 2.71. Which is smaller: -2\/11 or n?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 9:03 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert a79440 (base 11) to base 14.\nAnswer: 32cb84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**9\/7560 + u**7\/360 + 5*u**4\/12 - 2*u. Let j(a) be the third derivative of r(a). Find the third derivative of j(f) wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) -2 (c) 0.5 (d) -3 (e) 0.202 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence herh when four letters picked without replacement from {c: 1, e: 3, h: 12, r: 4}.\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*y - 40600 = -204*y - 14200 for y.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 + 8793062*i + 24 - 8793062*i.\nAnswer: -10*i**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.16, -0.8, 40, -1810?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133678 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 + 3*i**3 - 34*i + 34*i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:25 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 11. Let s be g(-5). Does 9 divide (3\/s)\/((-1)\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 4*u - 3*u)*(0*u - 3*u + 0*u)*(-3 + 2 + 6).\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 82659 = -25329. What is the highest common factor of g and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(500) - -4*sqrt(500)*-2 - sqrt(500)))**2 - sqrt(20)\/(sqrt(576) - (sqrt(576) - sqrt(576)*3) - sqrt(4))*-2)*-2.\nAnswer: -2304000 - 4*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -207*u + 3 - 3 + 208*u. Give j(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49, -68, -105, -166, -257, -384, -553, -770?\n\"Answer: -f**3 - 3*f**2 - 3*f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48113.6 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -9 - (2 - 1). Let c be (18\/w)\/(3\/(-8)). Find the second derivative of -5*f**3 - f + 3*f + c*f**3 wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1350231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6409 = -2*v, -74*m + 65*m = -2*v + 6449. What are the prime factors of v?\nAnswer: 2, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000346388 rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/966 and -91\/240?\nAnswer: 38640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30685 - 17898. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 7 = 2*m + 4, 5*k = 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 33099*j. Let h(s) = -47*s. Calculate w(h(a)).\nAnswer: -1555653*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 403 - 83. Let 45*v**2 - 2*v**4 + 4*v - h*v**2 + 41*v**2 = 0. Calculate v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (1 - 1\/1). Suppose -5*b + w*b + 89 = 0. What is the units digit of b\/5 + 3\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -3\/2, 0.5, -1\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 1, 0.9, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 365462 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - 7*n + 16*n)*(15*n + 17*n - 5*n).\nAnswer: 459*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22681 and -5.\nAnswer: 22676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -456*w - 1552*w - 112448 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 14399 + 54311. Let a = -997823\/75 - z. Calculate the common denominator of -31\/9 and a.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 11*q**2 - 20*q**2 + 57*q + 11*q**2 in the form f*q + k*q**2 + w and give f.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((144\/(-136))\/(-18))\/(-1)*(-2)\/1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216800 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 15. Suppose -31*s + 34*s = 36. Suppose u - 2*n - 10 = 0, -8 = -5*n + s. Calculate the lowest common multiple of u and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -18*n - 87. Let k be l(-19). Suppose 7*q - 8*q = -k. What are the prime factors of q?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 233\/2 (b) -18 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(((sqrt(192))**2 + ((-1 + sqrt(3))*-3)**2)*-1 + 4).\nAnswer: -1115 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3784957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 446 - -13?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120634 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -5 + (-4 - -1) + -65 + (5574 - 5567)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5538 is divided by 764.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(78)\/sqrt(6) - 4*((sqrt(26)\/sqrt(2) - sqrt(13)) + sqrt(13))) + (1*(sqrt(39)*-2 - sqrt(39)))\/(sqrt(12)*-1 + sqrt(3)).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 270?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-7)*y)*y*y**21 assuming y is positive.\nAnswer: y**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70384884?\nAnswer: 2, 3, 5865407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by 11728\nAnswer: -99\/5864","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 95 - 571 = 0. Sort 3, k, -1 in ascending order.\nAnswer: k, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -511471+-69696\nAnswer: -581167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 52*q**3 - 4*q**2 - 4*q + 4. Let h(w) = -w**2 - w + 1. Calculate 4*h(d) - m(d).\nAnswer: -52*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.1 and -1955.\nAnswer: -6060.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 13 = -5*f, -489*u + 484*u + 23 = -4*f. Let o(h) = 0*h - 2 + 4 - h. Let m = 2 + -4. Let v(a) = -a + 1. Determine m*o(y) + u*v(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518391 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -645 divided by 15?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1169*n - 1493*n - 11664 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3572049 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -15690 < -15690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 1\/2, -30, 8.8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079337 to the power of 1\/2, to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -8*i + 6*i, -5*i = -4*p + 35. Find the third derivative of 0*f**2 - 17*f**2 + p + f**3 + f - 3*f**6 - 5 wrt f.\nAnswer: -360*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(((sqrt(1872) + -2)*2)**2 + 3 - (-1 + -3 + sqrt(1872) + sqrt(1872) + (sqrt(1872) + 2 - sqrt(1872)))**2).\nAnswer: -768*sqrt(13) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*3*(sqrt(1584) + 3 + sqrt(1584) + -3 + 3))**2.\nAnswer: 5184*sqrt(11) + 228415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4 + 7. List the prime factors of (300\/8)\/(t\/(-6)) - 1.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 2 - -2 - -39. Suppose t*f - 600 = 36*f. What is the lowest common multiple of 60 and f?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**3 + 2*o**2 - 8*o + 3. Let v be l(5). Suppose 5*u - 412 = v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 6:32 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 3*s + 4*s)*((0 + 5 - 3)*(0 + 0 - 2) + (-3867 + 2101 + 1942)*(6 - 3 - 1) + 4 - 3 - 3).\nAnswer: 692*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11002 (base 8) to base 5.\nAnswer: 121420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9415?\nAnswer: 5, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -54555, -55752, -56959, -58182, -59427, -60700, -62007, -63354?\n\"Answer: -d**3 + d**2 - 1193*d - 53362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 40*j**2. Let y be z(40). Suppose 209*t - 203*t - 4554 = y. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + w + 5, -3*w = 2*t + w + 8. Solve 0 = -3*j - 7 - t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31572?\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*y - 7*y - 41 = 0, 4*m = 5*y - 49. Let d be 62\/341 + (-13)\/m*-1. Sort 4, d, 18 in descending order.\nAnswer: 18, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*f - 3 = -85*f + 3*z, -3*f - 4 = 4*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/182 and -53\/63.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001621*j + 2408 = 1001664*j for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-57)*139650\/34300?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-15)\/3*(-836 - -21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(39)\/sqrt(3))**2)*4 + (-4*sqrt(130))\/sqrt(10) - (sqrt(65)\/(1*sqrt(5)) - sqrt(78)\/sqrt(384)).\nAnswer: -52 - 7*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 7*h**2 + 25*h - 24.\nAnswer: (h - 24)*(h - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22114719 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 3312?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.379 * -0.111\nAnswer: 0.042069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25377366 or 25377367?\nAnswer: 25377366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21\/35 + 657\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + 3*c)*(-4*c**2 + 4*c**2 - 3*c**2)*(c - 8*c - 3*c).\nAnswer: 90*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 1545 = -4*o - 1531, -4*q - 4*o = -8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 8) to base 4\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 123*c + 1802.\nAnswer: (c + 17)*(c + 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 53.4. Let k = 72 + -359\/5. Put y, k, -5\/2 in increasing order.\nAnswer: -5\/2, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -226*s**2 + 50*s - 167*s**2 - 200*s**2 + 663*s + 424*s wrt s?\nAnswer: -1186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.136007 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.03, -1\/6, -3605 in decreasing order.\nAnswer: -0.03, -1\/6, -0.3, -3605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + z + 12, -2*y + z - 12 = -3*y. Calculate the remainder when 22 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100100011100 + -10000001100?\nAnswer: 11010100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 20*j**2 + 1131*j + 27605. Give g(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072906883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142 - -144. What is the nearest to p in 2\/9, -0.5, -13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y - 12. Calculate g(-9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 w, and 2 z when four letters picked without replacement from {n: 3, k: 1, z: 5, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**5\/20 - u**4\/4 + u**3\/2 + u**2\/2 - 2*u. Let v = -7 + 10. Calculate the remainder when l(-4) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 6*m**2 + 3*m + 30. Let g(f) = f**3 - 5*f**2 + 4*f + 31. Let c(r) = -5*g(r) + 6*q(r). Let j be c(11). Solve 0 = -2*o - j*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/7 + 940*d**2\/7 + 178609*d\/7 - 25650.\nAnswer: (d - 1)*(d + 266)*(d + 675)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173429 is divided by 86324.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 7*a**7\/6 - 7*a**6\/6 - 15*a**5\/4 + 35*a**4\/6 - 10*a**3\/3 - 2*a**2. Factor x(k).\nAnswer: 5*(k - 1)*(k + 1)*(7*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142175, 46, 2.\nAnswer: -142175, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h + 22 = -q, 0 = -2*q - 4*h - 36. Let p be (-4 + q)*(1 - 2). Let o be (p\/9)\/((-3)\/135000). What is o rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 79. Sort -3, 7, -1, g in decreasing order.\nAnswer: 7, g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 262746\/229915 - -2\/32845. Solve -6\/7*t + q*t**2 - 2\/7*t**3 + 0 = 0 for t.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 - 28*j**2 + 20*j**2 + 32*j**2. Let y(b) = -b. Calculate v(y(q)).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -12, -s - 5*b + 77 + 0 = -4*s for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7106624 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {e: 2, r: 4, x: 2, z: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 411372373 to the power of 1\/2, to the nearest integer?\nAnswer: 20282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -61126.\nAnswer: -61125.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4235 = 18*z - 7*z. Suppose -380*f + z*f - 3585 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-332)\/(9 + (-170)\/30). Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmyuwsaswmsassasua. Give prob of picking 1 w, 1 a, and 2 m.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 105*d**4\/2 + 216*d**3 + 18*d**2 - 24*d = 0.\nAnswer: -4, -2\/5, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 12*s. Suppose a + 0*y = -2*y + 14, 0 = -a + 5*y - 14. Let g = -3 + a. Let w(u) = -g*u + 4*u - 2*u + 2*u. Calculate w(b(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + n - 6 = 2*q, -4*q + 5*n = 26. Let x = q + 11. Solve 4*c = 3*c + 4*j + 3, 0 = c + j + x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 13. Let f = t + -4. Is -4*6\/f - (-144)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.433, -3, -6, -5\/6 in decreasing order.\nAnswer: -0.433, -5\/6, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/12 - y**3\/6 - y**2 + y. Give s(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**3 + 3*p**2 - 4164*p - 8330. Determine u(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, w: 13}. What is prob of picking 3 w and 1 u?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/13 + 46*n**2\/13 + 192*n\/13 + 216\/13 = 0. What is n?\nAnswer: -18, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 6*f**2 + 3*f. Let t(x) = 2*x**3 - 5*x**2 - 2*x. What is -2*r(q) - 3*t(q)?\nAnswer: -4*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3416*q + 4208*q = -3168 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -178 or -239?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 2*y - y. Let v(k) be the first derivative of 0*k**2 + 1\/3*k**3 - 3 + 0*k. What is v(l(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 7. Let p be v(-6). Let x = -8\/19 + 18\/133. Let k be 171\/12 + 210\/(-15). What is the nearest to -2\/3 in x, k, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806977 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 x be 1\/((-14)\/(-428)) - 84\/(-196). Suppose r = g + x, -2*r - 5*g + 55 = -0*g. What is the greatest common factor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*c + 0*c = 3, -4*c + 4 = 2*x. Suppose -2*l - 3*l = -3*p - 280, x = -2*l - 3*p + 91. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiwiwlywmwzlwiww. What is prob of sequence wz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3733, -1, 42 in decreasing order.\nAnswer: 3733, 42, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**7\/210 - h**5\/30 - 2*h**2 - h. Let q(g) be the first derivative of v(g). What is the third derivative of q(t) wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2743932337715.999999251 - 2743932335878. Let i = p + -1838. What is i rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*g**2 + 0 - g = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 339*z + 1697. Let p be b(-5). Solve -3*q - 9 = -3*t, 0 = -2*t - p*t + 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvwwvtkkkvkkqtwqwkqq. Give prob of picking 1 k and 1 q.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8932 and 35816.\nAnswer: 7270648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - 38) + (22 - (5 - 2)) - 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(275) + -4 + 5.\nAnswer: 4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 20*k**3 + 140*k**2 - 167*k + 94. Let a(l) = -220*l**3 - 1540*l**2 + 1835*l - 1025. Let r(y) = -6*a(y) - 65*g(y). Factor r(h).\nAnswer: 5*(h + 8)*(2*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9739 + -136405\/14. Calculate the common denominator of p and 101\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/29)\/(l\/(l\/l**(-2))))**(-1) assuming l is positive.\nAnswer: l**(-56\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**2 + 6. Let n(r) = 3*r**2 - 5. Suppose 51 = 12*t - 9. Determine t*n(u) + 4*g(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 527, 421, 315?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 20809 = -2*q, 4*q - 32*u - 41646 = -34*u. Calculate the least common multiple of q and 11.\nAnswer: 114488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1593 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -17*z - 43. Let r be y(-4). Suppose 5*a = -r, -3*w + 4*a = -7*w. What is the highest common divisor of 55 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*j - s, j = -64*s + 123*s - 60*s - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1029*t**4 - 34*t**2 + t + 21 wrt t.\nAnswer: -24696*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 - 8*y**3 + 0*y**3 + 173 + 0*y**3.\nAnswer: -8*y**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 0*h + 0*h**3 + 0 + 1\/150*h**5 - 7*h**2 - 1\/30*h**4. Factor d(a).\nAnswer: 2*a*(a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 1. Let j = 4 - c. Suppose j = -5*n - 17 + 2. What is the nearest to -0.1 in n, -1\/4, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36497278901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*g + 6. Let v(r) = r**3 - r**2 - r + 1. Let o(a) = -a**3 + 4*a**2 + 4*a - 8. Let t(h) = g*o(h) - 4*v(h). What is the derivative of t(y) wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89\/((-1)\/(-5) - (51744\/3195 + -16)) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291\/(-15) + 20 - (3 - (-47)\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10221647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p. Let l(r) = -17*r - 9. Let t(h) = 2*h + 1. Let d(n) = -2*l(n) - 18*t(n). Give d(i(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/4 + 46508*v**4 - 744099*v**3\/4 - 604592*v**2 + 186025*v + 558084 = 0. What is v?\nAnswer: -2, -1, 1, 6, 186028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.3, 0, -0.8, -30\/7 in decreasing order.\nAnswer: 7, 0, -0.3, -0.8, -30\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*i + 17 - 1 = 0, -i - 31 = -4*k. Suppose -f + 11 = -5*h, 0 = f - 2*f + 3*h + k. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192\/(-36)*(27\/9)\/1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhi when three letters picked without replacement from mhimmmmmmmhbmmim?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.93 + -10. Let w = -3.93 + r. Let j = w + 4.1. Which is the nearest to -2? (a) j (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 46. Let w be (-2)\/6*0\/1. Solve w = 5*s - q + 25 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*w**4 - 37*w**3 - 2*w**2.\nAnswer: w**2*(w - 1)*(39*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4428 * -3.\nAnswer: -1.3284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.57 + -0.07. Let z = y - -0.5. Are z and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -1, -3*p + 4*p - 7*t - t = -5*t - 16 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(1 - (-10)\/(-4)). Find q, given that 0*q**2 + 2*q**b + 2 - 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 2*h + 1. Let x(z) = -2*z**2 + 12*z + 16. Give -5*m(t) + x(t).\nAnswer: 3*t**2 + 2*t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 98, 168, 262, 386?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1562\/55)\/(2611\/1865). Factor -v*q + 2\/7*q**3 - 68\/7*q**2 - 72\/7.\nAnswer: 2*(q - 36)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**2 + d**2 + 6*d**2)*((2 + 5 + 0)*(-4 - 1 + 7) + 0 + 5 + 1) in the form m*d + r + k*d**2 and give k.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 1, k: 2, h: 2}. What is prob of picking 1 l and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 - 29 = 3*o, z - 4*o - 5 = 0. Suppose 4*g = -12, -3*j + 5*j - g - 27 = 0. Calculate the lowest common multiple of j and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/19)\/(r*r*r**(-6))*r\/(r**(-6)\/r)*r**(-1\/9)*(r**(2\/5))**(-4\/33)\/(r*r*r**(-3)*(r\/(r\/(r**(2\/9)*r)))\/r) assuming r is positive.\nAnswer: r**(13076\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -411593248*y**3 + 156762394*y**2 wrt y.\nAnswer: -2469559488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67970945 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 62*c**4 - 415*c**2\/2 - 1087. What is the second derivative of i(x) wrt x?\nAnswer: 1488*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 383 (base 10) to base 5\nAnswer: 3013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000664 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + y + 1. Suppose 11 = 4*x - f, 3*x + 21*f + 3 = 24*f. Let k(t) = -t**2 + 5*t + 13. Determine x*z(c) - k(c).\nAnswer: -3*c**2 - c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7)*-1 - (-1255918)\/420. Let x = f - 2991. Calculate the common denominator of -55\/18 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 - 1 = 11*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -11*x**2 - 192*x + 2938. Calculate f(10).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*-1*(-2)\/4. Suppose -1 = m*f + 4. Let i be (-18)\/4 - f\/(-2). Which is bigger: -6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25376490361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 10:07 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjz when three letters picked without replacement from {j: 4, z: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 33, -3, 2, 7, -45 in increasing order.\nAnswer: -45, -4, -3, 0, 2, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-21)\/(-7))\/(1 - (-1130)\/(-1136)). List the prime factors of b\/(30\/(-5)*3\/(-9)).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-3))\/((-177)\/118).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 453?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 284*f**3 - 20*f**2 + 4 wrt f.\nAnswer: 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 36619?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*n - 76 = 0, 4*x + 2*n = 9*x - 97. Let g = 8 - -3. Calculate the remainder when x is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*p**4 + 20*p**4 + 22 + 29 - 9 wrt p.\nAnswer: 188*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) -2\/13 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2740122 divided by -4158\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -12 - (-1 + 6)) + -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 12:06 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 352585665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62\/9 in 1\/4, 4, 3, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13940 divided by 1394.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -6 + (114 + -117 - (-4 - (2 + 68)))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 177*p - 177*p - 2*p**3 - p**3.\nAnswer: -3*p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -299 divided by -10\nAnswer: 299\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhyhhhhh. What is prob of picking 2 h?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3 = -3*f, -3*p + 5 + 0 = f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4012 + 111103?\nAnswer: 120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 4*d - 28. Let v be 3\/((-4)\/16*d). Suppose -5*j = 8 - 3. Is j >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 1490*w + 11861. Give b(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -37*z**3 + 56*z**2 + z - 22. What is the units digit of f(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 858960.6 and 0.02009.\nAnswer: 858960.62009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10602 and 204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 342135692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.107? (a) 0.3 (b) -3\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 13. Let o be h(-11). Let v be 210\/(-56) + o\/8. Is 15 a factor of 217\/6 + v\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 16 + 3*y - 19 - y. Let o = -14 + 10. Calculate l(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**14\/k**(1\/20))\/(k**(-32)\/(k*k**(-5\/12)\/k)))**(-18) assuming k is positive.\nAnswer: k**(-4098\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5449\/3988125 + 229557525371\/23147077500. Let b = -1\/1451 - l. Calculate the common denominator of 59\/4 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 12*f - 8. Let m(p) = -5*p**2 + 61*p - 41. Let i(c) = 11*d(c) - 2*m(c). Suppose -4 - 38 = -6*t. What is the units digit of i(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 * 35.6759\nAnswer: 1748.1191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 45, 123, 277, 531, 909, 1435?\n\"Answer: 4*z**3 + 2*z**2 - 8*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2062253149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650130239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 424?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -510 - 203 - 16 + 2*n to x + b*n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**3 + 22*k**2 - 3. Let w(c) be the second derivative of 7*c**5\/20 + 23*c**4\/12 - 2*c**2 + 82*c - 7. Calculate 5*a(x) - 4*w(x).\nAnswer: 2*x**3 + 18*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.31, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 16) to base 13\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**3 + 4*x**2 + 19*x + 49. Determine v(-5).\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-13)*k)\/k)\/k*k**(1\/4))\/(k**(-4\/13))**(-35))**(-6) assuming k is positive.\nAnswer: k**(3825\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4792200 and 476.\nAnswer: 81467400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131693?\nAnswer: 3, 377231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n\/(n**(-1)*n))\/n*n*(((n*n*n**5\/n*n)\/n*n)\/n)\/n*(n\/n**(-2)*n)**(-11\/7) assuming n is positive.\nAnswer: n**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/5)*l)**2*(l*l\/(l*l*l*l*l**(-5)\/l*l))**(5\/11))**(-22) assuming l is positive.\nAnswer: l**(-326\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50*s*y**4 - 939*s*y + 18*s - 10*y**4 - 251886 wrt y.\nAnswer: 200*s*y**3 - 939*s - 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 4)*(-3*c - 2*c - 20*c + (4 + 0 + 4)*(0*c - 3*c + 2*c)).\nAnswer: 132*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfx when three letters picked without replacement from {r: 1, x: 8, f: 8}?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-9)*(-33 + 35).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5100872*g**4 - 435*g + 122922 wrt g?\nAnswer: 61210464*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -3.7. Let r = 2 - 2.03. Let t = r - 0.07. Sort t, k, 1 in descending order.\nAnswer: 1, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - d + 2. Let t be 4\/14 - 7\/49*-12. Calculate i(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 73983*l**3 - 69*l. Let t(f) = 2176*f**3 - 2*f. Determine 6*i(v) - 207*t(v).\nAnswer: -6534*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23 + 28)\/(1\/166). Suppose -2*m + 4*w + x = 6*w, 1247 = 3*m + w. What is the greatest common factor of 64 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/5*20\/(-4). Suppose 0 = 2*x - c - 4. Let w(r) = x - 3 - r - 3. What is w(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 426?\nAnswer: 16188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 4 - 4 + (m + 2*m - 5*m)*(-3 + 1 + 0) + 2*m + 2*m - 5*m - 2*m + 2*m - m + 2988 + 419*m - 2988.\nAnswer: 422*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21031348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0128 and 3395.4.\nAnswer: -43.46112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/30)\/((-3)\/(-2)). Let b = 1969 - 1968. Which is greater: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4287*x**3 + 4288*x**3 + 1062*x**3 - 9638*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9494 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (20 - 23) - (0 - 3) - 2 - -61?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (1 - 4) - 0. Suppose -79 = -k*m + 29. Suppose 2*u - m = 3*h, -3*h - 2*h = -2*u + 40. Calculate the remainder when u is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 43. Sort p, 3, 4 in decreasing order.\nAnswer: 4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**2 - 41*l - 32. Calculate the remainder when 66 is divided by c(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 52*l = 131422 + 61544. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 155.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722490857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**5 - 3*g**5 + 2*g**5)*(1 + 2 - 6) + (0*g + g + 2*g)*(-3*g + g**4 + 3*g) + 2*g**5 - 125 - 3893*g + 3893*g + (g**4 - 1 + 1)*(g - 2*g + 0*g).\nAnswer: 7*g**5 - 125","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, -3, 296, 28 in descending order.\nAnswer: 296, 28, -3, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = y + 3, -120*f = 114*f + y + 696 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -308*k**3 + 650*k**3 - 816 - 299*k**3 wrt k?\nAnswer: 129*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f. Let l(j) = -15*j. Let m(c) = 18*h(c) + 2*l(c). Let o(p) be the third derivative of -p**5\/20 - 228*p**2. Determine m(o(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19355.5 - -2.\nAnswer: -19353.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 472*s**4 + 9*s**2 + 2799*s. Let x(l) = -2833*l**4 - 57*l**2 - 16793*l. Let w(b) = 19*i(b) + 3*x(b). What is the second derivative of w(h) wrt h?\nAnswer: 5628*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**6\/1020 - 13*u**4\/51 + 32*u**3\/17 - 4*u**2 - 4*u. What is c in m(c) = 0?\nAnswer: -8, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 1 + 15)*(-9 - 14*d**4 + 9).\nAnswer: -364*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -7 + 24 + -13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c26 + b?\nAnswer: 4c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/45747955 and 34\/831781.\nAnswer: 45747955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -13. Suppose 4*p - z*p = -20. Solve p = 2*g + 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from laqqqqqaqaaadqqqnaaw.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = 3*p, 5*k = 4*k + 4*p + 3. Suppose 0*h - k*h = 9. Let v(z) = -z**3 - 2 - 2 - 2*z**2 - z**2 + 0. Give v(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65425 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8523 - 102*m - 26*m + 128*m + 2*m**2.\nAnswer: 2*m**2 - 8523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441996 is divided by 220992.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 15158.8 to the nearest 100.\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 20) + (-7 - -11) - (-1 + 6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41\/21 + 9\/7. Is 1.8 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/4 + 1857*q**4\/2 + 1156887*q**3\/4 + 1145769*q**2 + 1142067*q = 0. What is q?\nAnswer: -617, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 14\/13907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*v**4 - 1047*v**3 - 1293*v**2 - 258*v = 0. Calculate v.\nAnswer: -86, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 12:23 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91479.\nAnswer: 3, 30493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16882.\nAnswer: 2, 23, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131068 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3335222 - -410?\nAnswer: 3340032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 310*t**2 - 3*t + 5. Let s(o) = 154*o**2 - 2*o + 3. Let c(z) = 3*d(z) - 5*s(z). Let i(g) = -g. Calculate c(i(b)).\nAnswer: 160*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - d**2 - 2. Let w be p(-2). Suppose 3*m - 8 = 25. Suppose z + 1 = -r, 2*z - m = 6*z - 3*r. Which is the nearest to -0.6? (a) z (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 + 4052*b + 48336 = 0 for b.\nAnswer: -2014, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 5*s + 5, 21*h = 25*h + 5*s - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2967 and 9417?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324984?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-115)*(-26)\/(-65)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -62*j**3*o - 93035188*j**3 - 75079*j*o**2 wrt o?\nAnswer: -62*j**3 - 150158*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(3 + -1) + 15. Let b(v) = -4 - w*v + 3*v + v**2 + v. Determine b(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 5. Let m = 6 + 0. Let c(y) = -y**2 + 6. Let d(s) = m*g(s) - 5*c(s). Let x(j) be the first derivative of -7*j**2\/2 + 3. What is d(x(v))?\nAnswer: -49*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(117)))**2.\nAnswer: 216*sqrt(13) + 4248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*w - 1 - 3, -20 = 5*k. Suppose 0*l - 4*l - w = -5*o, 3*o + 2 = 4*l. Let u(a) = -a + 2 + o*a + 0*a. What is u(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1218080618, 1218080619, 1218080620, 1218080621, 1218080622, 1218080623?\nAnswer: 1218080624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 445*j**2 + 0*j - 1009*j**2 - 1381*j**2 - 129*j**2)*(5*j**2 - 1 + 1).\nAnswer: -10370*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**2 + 302*m + 301. Give b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*g + 157*g**2 + 6*g - 25*g + 12*g + 14*g to the form j + x*g + s*g**2 and give s.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -212.7 - -222. Let g = w + -10. Let y = 0.58 + g. What is y rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25011 is divided by 183?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/((-3)\/(-9)*6). Suppose -t + j = g + 4, 0 = -4*t + 12. Suppose -g*u + 135 = -0*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z + 24 = 0. Suppose -4*h + 2*l = -0 + 2, -h + 4*l = 11. Suppose 0 = -4*u - 5*t + 3, -5*t + 10 - h = 2*u. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + 3*h**2 + 4*h + 2. Let f be g(-2). Let w be ((-4)\/f)\/(2\/50). Calculate the highest common divisor of w and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*t + 26*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4882, -14089, -23296?\nAnswer: -32503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/35 - 6329\/70. Let t be -93*4*1\/4. Let u = j - t. Calculate the common denominator of u and -77\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 0*g + 2*g)*(0 - 3 - 8)*(g - g**4 - g**4 + 0*g**4).\nAnswer: -44*g**5 + 22*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53712 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-6)*(-132)\/88.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2304 - 2303. Solve -9 = -p + 3*r - 4, -3*r = p + l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {w: 1, q: 1, f: 2, o: 1, b: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in -3\/17, 6\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3624 = -678. Let z be (-1)\/5 + l\/30. Let s = z + 40. Are s and -8 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15021 is divided by 113?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - l**3 + l + (0*l**2 + 2*l**2 - 3*l**2)*(9*l + 3*l - 3*l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3830252 - 33\nAnswer: 3830219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d538 + -14?\nAnswer: d524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12\/319 + 1143\/319. Which is bigger: 3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -291*t**4\/2 + 912*t**2 - 2495*t. Differentiate f(j) wrt j.\nAnswer: -3492*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(99)*2 + -1*sqrt(99)*-2)\/(-1*(sqrt(9) + 2*sqrt(81))))**2.\nAnswer: 1100\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 306 + -82. Is 224 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 102 = -15. Is 17 a factor of (6\/p)\/(15\/5940)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9968 or 9962?\nAnswer: 9968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3 - 244*i**2 - 328*i + 4960 = 0. Calculate i.\nAnswer: -5, 4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1052, -9753, -33766, -80747, -158352, -274237, -436058?\n\"Answer: -1276*p**3 + 231*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22830 (base 9) in base 5?\nAnswer: -442010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 58 = 3*l - 5*m - 76, -6 = 2*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11943 or 10971?\nAnswer: 11943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) 2\/3 (c) 11\/6 (d) -2\/3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 254671325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1192\/(-141699))\/(-1 - 7\/(-6)). Let z = a - -5882\/3487. Factor -4\/11 - 10\/11*c**3 - 14\/11*c - z*c**2 - 2\/11*c**4.\nAnswer: -2*(c + 1)**3*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w + 2*w - 9*w = -20*w - 900 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -1 - ((32 - 22 - 2) + 16 + -16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12114 - -12113. Let m(g) = 114*g + 5. What is m(t)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 16)*(0 + -1). Suppose -18 = -4*v + z, 0*v + 5*z + x = 2*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 14, f: 1, n: 5}. What is prob of picking 1 f and 1 n?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.04591g to kilograms.\nAnswer: 0.05704591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -5 (b) 2\/19 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 0*h + 2*h)*(4 + 1 - 2)*(3 - 3 + 2)*(-2647 + 892 + 1037) to the form t + v*h and give v.\nAnswer: -8616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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 q = -56562 - -283874\/5. Let o = q + -212. Which is the second biggest value? (a) -20 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 436 = -14. Let h = p + -85. Find the second derivative of 22*d - 28*d**h - 4*d - 6*d + 11*d wrt d.\nAnswer: -560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 46*w**2 - 63*w + 812. Let a be p(45). Solve -k - 4*k = a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021304.294 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -11*v - 10. Let x(i) = -i**2 - 2*i + 2. Let w be x(-4). Let d be ((-28)\/w)\/(4\/6). Solve -v*q + d = 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8455, 0, -0.1.\nAnswer: -8455, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1293\/655 (b) -0.1 (c) -272\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -830 times 0.048594\nAnswer: -40.33302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 7. Let d be o(-4). Put 2, d, -3 in descending order.\nAnswer: 2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (54*c**2 - 25*c**2 - 31*c**2 + 64*c)*(-15*c + 15*c - 14*c**2) to t*c**4 + q*c**2 + d*c + p + m*c**3 and give m.\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 7*m - 18. Determine k(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6044, 4114, 2184, 254?\nAnswer: -1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 12.8?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5 - 16*s**4 + 64*s**3 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -17893 - 27879. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 12*h - 6. Let u be w(10). Let c be 4\/u + (-60)\/(-35). Let t be 4\/(-18) + c\/9. Solve t = -0*s - 2*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 1\/6*k**3 + 5\/2*k**2 + 0 - k - 1\/12*k**4. Let j = -54 - -54. Determine w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (39\/(-26))\/(2\/(-116)). Let h = m - 92. Put h, -64, 1, 3 in descending order.\nAnswer: 3, 1, h, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/24 - (-53)\/6. Let z(i) = 4 + 15*i - 2*i**2 - 5*i - i**2 + 2*i**2. Is z(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 3:08 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1223 - 10?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35131049 is divided by 12520?\nAnswer: 12449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + (sqrt(245) + -5 - sqrt(245)))**2*5.\nAnswer: -350*sqrt(5) + 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 10. Suppose -8*u - r = -9*u. Suppose -5 = -5*t - 2*f + 5*f, t - 5*f = -21. Solve -4*i - 2 = -u*i + t*w, 0 = -3*i - w - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**4\/4 - 8*d**3\/3 - 3*d**2 - 11*d + 12998. Determine f(7).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 21680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2052458.21*-2\nAnswer: -4104916.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -64*h + 13. Let c(j) = 64*j - 13. Let l(x) = -5*c(x) - 4*w(x). Is l(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by (3 + 9 - 19)*(-3 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2306368 and 6054216.\nAnswer: 48433728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p + 4 + 6*p + 5*p)*(-5 + 0 + 3) - 2 - 3*p + 2 + (4 - 1 - 4)*(-3*p + 0*p + p) + 26*p - p - 5*p.\nAnswer: 23*p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 1000 = -14*b. Suppose b*n - 19*n = 19047. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2174 + -279. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13480586 (base 9) to base 6\nAnswer: 354515123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -j, u + 2*u + 3*j = 0. Let s be ((-2)\/6)\/(u\/90). Let f = s - 5. Solve 2*y = y + f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 12. Let f be 30\/(-26) - 18\/(-117). Sort 1, 5, t, f in ascending order.\nAnswer: f, 1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15530, -31386, -47574, -64094, -80946?\n\"Answer: -166*z**2 - 15358*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + k + 2*y + 302, -4*k + 268 = 5*y. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 6.7. Let l = -4053283\/1281945 + -1\/12209. Let o = l + 56\/15. Is y less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -430.5206 and -43163.\nAnswer: -43593.5206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035945 to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 7, x: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(((-32)\/(-480))\/(1\/(-3)))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21\/613 + -17315\/13486. Find the common denominator of 69\/8 and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -0.2, 43, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - -1)*(-25)\/(-4). Suppose -5*t = 3*i - f, -5*t + 0*i = -2*i - 25. Let u = 2.55 + -0.55. Sort t, 6, u in descending order.\nAnswer: 6, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21578737 + 3?\nAnswer: -21578734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(320) - sqrt(320))**2 + -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - 80\/60*(-18)\/(-8). Suppose -j = -t*k + j + 28, 0 = -2*k - 3*j + 14. Solve -g - 5*r + 17 = 0, -4*r = -5*g - k*r - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280114.3 years to centuries.\nAnswer: 2801.143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 49 = -5*f, -5*h - 10*f - 264 = -384 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17906 divided by 8953?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 2. Let i = 0 - 1. Let w be (2 + -3 + 1)*i. Let t(o) = -o**3 + o - 3. Let m be t(w). Determine u(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 336*k**2 - 2683*k - 13. Calculate p(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3114.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmic when four letters picked without replacement from acdawimaawica?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -2451.5.\nAnswer: -9806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 29*q**6\/3 - q**5\/5 - q**4\/2 + 2*q**3\/3 + 1769*q - 3745. Find the third derivative of j(r) wrt r.\nAnswer: 3480*r**2 - 24*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 23*b**2 - 1\/160*b**5 + 33\/16*b**3 + b + 0 + 1\/8*b**4. Determine s, given that n(s) = 0.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 4:41 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 87?\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/5, 3.42, 9202\/9?\nAnswer: 9202\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -14*k**3\/3 - 45. Let b(x) = 10*x. Calculate f(b(m)).\nAnswer: -1400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 + 61 - 527*q - 32 to the form s + l*q and give l.\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11675031 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 not equal to -2\/8565223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -849466?\nAnswer: -849466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 31 = -3*t - 35, -2*t = -4. Let h = -1.6 - -18.6. What is the third biggest value in h, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*b + 0)*(-5*b + 3*b + 3*b + 3*b + 4*b - 6*b + (4 + 0 + 2)*(1 + b - 1)) + 8*b**2 + 5*b**2 - 5*b**2 in the form y*b**2 + s*b + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 16. Suppose -3*f + 2*w + 15 = 0, 5*f + 3*w = -p*w. Let a(z) = 1 + 7*z**2 + 8*z + 0*z**f - 2*z**3 + z**3. Calculate a(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 + -153. Let x = 77 + v. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 16. Suppose 7*i = j*i + 16. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to 1\/52195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-2)*4)\/((6\/40)\/(1935\/(-25800)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3886 is divided by 334.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/(((-96)\/(-378))\/8). Let r = -12 - -229. Let p = r - v. Is 24 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/590897 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*c - 12 = -7*a, -5*a - 5*c = 15. Suppose a = -3*k - 7*u + 9*u + 196, u - 305 = -5*k. What is the remainder when k is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikiiijiii. What is prob of picking 1 j and 1 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, -1\/7, 642, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-18)*-2)\/(7\/(-21)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362.187 weeks in nanoseconds?\nAnswer: 823850697600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16521 is divided by 557?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 4*q**2 + 6*q**4 - 5*q**4)*(2 + q - 2).\nAnswer: q**5 + 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)*j*j**(-5))\/(j**(-6)*j**8) assuming j is positive.\nAnswer: j**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.097 + 1.397. Sort -1\/23, j, 1, -1 in ascending order.\nAnswer: -1, -1\/23, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6074167 divided by -1\nAnswer: -6074167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2109 + -2101. Let g(j) be the first derivative of -9\/2*j**2 + 11*j - o. Differentiate g(m) wrt m.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35890357649 - -61.62\nAnswer: -35890357587.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-2)*1*36\/55)\/(6651\/(-17736))?\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = f - 2*f + 4, 2*f + 3*j - 3 = 0. Let t(a) = a + 2. Let s be t(f). Let b = -49 + 52. Solve -3 = s*v + b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222086 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 8.1, -1\/3, 0.977?\nAnswer: 0.977","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 13*j - 6. Suppose 73 = t + 60. Give x(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 - 469*f + 9225. What is g(-174)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11110674847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1370514501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -45*a**2 + 11*a. Let x(p) = 90*p**2 - 22*p. Let k(r) = -5*m(r) - 3*x(r). Find the second derivative of k(t) wrt t.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -3.3. Suppose -f = -4*f - 12. Let m be f\/(-6)*(-57)\/(-76). Which is the nearest to -0.1? (a) v (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -24. Solve h*k = 6*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 93570, 4, -100?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148193*x + 148197*x = 3*t - 44, 2*x - 2*t = -22 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 6 - 4. Let d be -1 - (s - 11 - -1). What is the greatest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = -81 + 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 860491 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + (-7 - -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1045.1857 times -0.032\nAnswer: -33.4459424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (3 - (-51)\/(-6))*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 236*k - 144?\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1131980 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -1419?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2057 + -2067.67. Let k = -10.7 - s. What is the nearest to k in 0.4, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -132 - ((205 - 171) + (-22 - -2)) - -14.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let z(y) = 123*y. Let a = 99 + -105. Let d(v) = -5780*v. Let p(l) = a*d(l) - 280*z(l). Determine c(p(g)).\nAnswer: -240*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -44042*b*z**2 - 862*b*z - 2*b + z**2 + 4*z - 436423 wrt b.\nAnswer: -44042*z**2 - 862*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 624, 508, 390, 270, 148?\n\"Answer: -n**2 - 113*n + 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -34870 < -34870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -238a5 (base 14) to base 12.\nAnswer: -42275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(117) + (sqrt(117)*2 - sqrt(117)))*-4 - sqrt(117)) + sqrt(117) + 1*sqrt(117)*-2)*-2)\/((6*2*sqrt(441) - sqrt(441) - sqrt(441))*3).\nAnswer: 2*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 6, 106, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10514 - 53567 = 1047*y - 11186 + 38282 for y.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2077\/41065 + -12\/215. Is 1 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*1)\/sqrt(4))\/((3*sqrt(20))\/sqrt(4)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1661, -1642, -1627, -1616?\n\"Answer: -2*z**2 + 25*z - 1684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*j**2 - 229*j**2 + 29*j**2 + 51*j**2 + 49*j**2 + 48*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let s = 7 + 2. Let t = s + -8.5. Which is the third biggest value? (a) -2 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9 = -3. Suppose -814 = -6*y - 832. Sort i, y, -1.\nAnswer: y, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 9721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 69\/(-24) + 3 + (-1)\/8. Suppose 4*k - 499 + 71 = a. Suppose 3*x = x + b + 83, -k = -3*x + 5*b. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 15 = -16*s + 18*s, 3*z = 2*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m\/(m\/(m*m*m**(-2\/39)*m)))\/(m**19*m**(-3\/2)*m) assuming m is positive.\nAnswer: m**(-1369\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 24 = 48. Determine p so that -6*p**3 + 7*p**4 + f*p**3 - 6*p - 17*p**2 - 4*p**3 = 0.\nAnswer: -1, -3\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 - 1. Suppose 5*x + 20 = 5*c, 2*c + 2*c = -x + 21. Let v be y(x). What is the third derivative of -4*i**2 + 8*i**2 - i**4 - 2*i**v wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(120\/28))\/((-32)\/(-192))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*p - 2*o, 2 = 33*p - 35*p - 3*o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejp when three letters picked without replacement from epsijem?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299*i - 613*i - 435 = -1063. Let h(q) be the first derivative of -q**2\/2 + 4*q + 2. Let t be h(0). Calculate the greatest common divisor of t and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1249 and 0.5.\nAnswer: -624.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*x**2 - 17*x**3 - 22*x**2 - 10*x**2 wrt x.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1255.76092 from 6.\nAnswer: -1249.76092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a**(-8)*a)\/a)\/a)\/(a\/(a*a**(-9)))*(a**(-3))**(-10\/17) assuming a is positive.\nAnswer: a**(-259\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-130)\/(-125) - 1)\/((-7)\/(-14)). Let f = -1.95 + -0.05. Let j = 1.9 + f. Which is greater: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 138 and 28.4?\nAnswer: 3919.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219341655.\nAnswer: 3, 5, 13, 124981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.6 + 3.4. Which is the closest to f? (a) 0 (b) -5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {w: 2, p: 4, f: 9, e: 4}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 408430537?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 0*c - 2*c - 5*c to a + f*c and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 112*q - 1232. Determine f(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3021040 (base 5) to base 9.\nAnswer: 73183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -957*n - 21073. Calculate v(-22).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5181*r - 31087. What is p(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/57 in 11\/116, 0.3, -4, -3\/5?\nAnswer: 11\/116","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 11*i**2 - 9*i - 3. Determine t(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - 63 - 16 - (1 + 2).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-32))*t)\/t**(-40) assuming t is positive.\nAnswer: t**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -75. Let n be j\/(-8) + (-7)\/(-28). Solve 0 = -c + 4*c - 5*p + 19, -2*c + n*p - 14 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2586 = -18*m - 2406 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.42 + 18.52. Suppose -96 = -3*f - f. Let h be 4\/6 + (-10)\/f. Which is the biggest value? (a) h (b) 3\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1487\/2 or -0.16?\nAnswer: -1487\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/72 and 101\/2112656.\nAnswer: 19013904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/120 + i**5\/12 + i**4\/8 + 5*i**3\/6 - 2*i**2. Suppose d + 3 - 11 = 2*p, 5*d = -5*p - 35. Determine w(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -14028 (c) 0.4 (d) 678\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 652668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 753*j - 879*j + 18 - 17 to the form k + b*j and give b.\nAnswer: -1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 28*r = 252. Let k be (3\/r)\/(90\/160). Do 0 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -16, -34, -70, -130, -220, -346?\n\"Answer: -s**3 + s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/65, 3\/4, -10.7, -0.037?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Suppose -338 = -6*y + 40. Let d be (((-28)\/y)\/((-6)\/(-9)))\/10. Is i != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.927464ml in litres?\nAnswer: 0.009927464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.016 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00457094 to four dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 28700 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337096 is divided by 2325.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 13. Let f = 8 + v. Let i(m) = -m**2 - 16*m + 2. Is i(f) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (19 - 0) + -29\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 - (-2 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*r**2*x - 5*l**2*r*x - l**2*x**2 + 5*l**2*x + 2*r**2*x**2 wrt x?\nAnswer: -2*l**2 + 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmdemmmmtvvemmtwmm. Give prob of picking 1 t and 2 m.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 432 - 272. Solve 1020*i**3 - 229*i**2 - 671*i**2 - 124*i**4 + 4*i**5 + 80 - m + 80 = 0 for i.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -83, -4\/321, 2, -1?\nAnswer: -4\/321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3096 and 77\/10.\nAnswer: 15480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11467 divided by -170?\nAnswer: -11467\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178 + -71. Suppose 4*n - 4 = 0, -r + 3*n = -2*n - a. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -97682.\nAnswer: 488410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*w - 89*w = -373*w. Solve w = 155*h - 163*h - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*216\/45*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uua when three letters picked without replacement from uuuuauaa.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 121. What is the greatest common factor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 72523?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 25. Suppose -y = 3*y - 2*o + 66, 3*y = 4*o - 57. Let g = y + 23. Calculate the least common multiple of g and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**6\/60 + 71*f**5\/60 - 3*f**4\/8 + 8035*f**3\/6 - 11*f**2 + 21. What is the first derivative of j(y) wrt y?\nAnswer: 6*y**2 + 142*y - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + (sqrt(117)*-1)**2 + 1 + -1.\nAnswer: 3*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - (sqrt(65)*2*5 - sqrt(65))) + sqrt(65) + (-4*sqrt(65)*1 + sqrt(65) - sqrt(65)))\/(5*(sqrt(320) + sqrt(320)*-5)).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 4\/(-1)) + -8. Suppose -3*y = -5*a - 24, 5*y - 4 - 11 = 0. List the prime factors of v*(60\/(-9) - a).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000054919241 to seven decimal places.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8837, 8845, 8817, 8753, 8653, 8517, 8345?\n\"Answer: -18*g**2 + 62*g + 8793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - s + 742 = -2040, -5*s + 2766 = 2*d. Let c(x) = d - 1393 + 543*x. Let y(m) = 2*m. Calculate c(y(l)).\nAnswer: 1086*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093 divided by -229549?\nAnswer: 1093\/229549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 474*d - 581*d - 7 to y*d + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 255340251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(66)*-1*1)\/(3*sqrt(24) + sqrt(42)\/(sqrt(28)\/sqrt(4))).\nAnswer: 5*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -361*d**3 - 6*d**2 + 15*d + 20. What is the remainder when s(-1) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0 = b + 4, -2*u + 4*b = 12. Put u, -4, 0 in increasing order.\nAnswer: -4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**3 + 3*p**2 + 2. Let m(u) be the third derivative of u**6\/30 - u**5\/15 - u**3\/2 - 2*u**2. Let r(j) = 2*m(j) + 3*v(j). Solve r(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 53, 90, 127?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 65 = 69 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2)*2\/(-36).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-195 - -128) - (-11 + -2 - -2).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 5*k**2 - 7*k - 9. Let c(z) be the third derivative of z**4\/24 - z**2. Let y be c(-6). Give n(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -172*k - 3 - 118*k - 54*k + 39*k in the form g*k + u and give g.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333, -664, -995, -1326, -1657, -1988?\nAnswer: -2319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from nnlnllclypy?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166 and 718020301.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80184 divided by -24.\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529985 is divided by 3370.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 90*t + 247. Let k be s(-3). Solve -9*u + k*i = -4*u + 41, -2*u = -2*i + 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -990.5327005 - -51.53.\nAnswer: -939.0027005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 5) in base 13?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 - 5.26. Let v = t - -5. Let r = 365 + -364.4. What is the smallest value in 2\/5, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + o + 17, 22 + 15 = 5*v + 3*o. Let d(r) = r**3 + 49*r**2 - 2*r - 93. Calculate the lowest common multiple of d(-49) and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4653792 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 + 10 = 0. Let t(j) = j**2 - 3*j + 2. Give t(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 126 = -11*g. Calculate the least common multiple of 12 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 0. Let v be (-55)\/(-15) - 4\/o. Suppose -2*w = -v*w + 15. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -8. Suppose -54 = -4*t - k - 11, 5*t - k - 47 = g. Let s(p) = -16*p + 4. Let f(n) = 5*n - 1. What is t*f(x) + 3*s(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 21*z + 83. Let c be w(-3). Is 14190\/c - 3\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95538.81 years in decades?\nAnswer: 9553.881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21280 divided by -14917\nAnswer: -3040\/2131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 822728*l**2. Let h(m) = -2*m. Give h(t(r)).\nAnswer: -1645456*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*i - 10 = -4*g, 0 = -i. Find the second derivative of 2198*z - 2*z**g - 2142*z + 23*z**2 wrt z.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(2\/(-2))*1090\/81750\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*w - f**3 + 16*f**2*w**3 - 2*f*w**3 - 32*f wrt f?\nAnswer: 12*f*w - 6*f + 32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 r when three letters picked without replacement from {d: 6, r: 8, h: 1}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 10. Let h be o(-9). Let s(c) = c**3 - 9*c**2 + 11*c - 11. What is the remainder when s(h) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*g**2 + 1 + 22*g**2 + 31*g**2 - 14*g**2 in the form v*g + z*g**2 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((8 - -1685)*1)\/1. Let j = 2981 - y. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.825 and 0.2636.\nAnswer: 1.0886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 7*q**2 + 2*q + 13. Let v be i(-7). Let o = -1.2 + 1. Which is the nearest to v? (a) 3 (b) o (c) 1 (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*m**2 - 64*m**2 + 70*m**5 + 39*m**5 wrt m.\nAnswer: 6540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 7*j**2 + 8*j - 7. Let y be v(6). Let d be (1\/2)\/(1\/4). Suppose 12 = -d*k + y*k. Solve -o - k*o - 4 = -2*i, i = -3*o - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/10 - ((-56)\/(-80) + 0). Which is the closest to 0.2? (a) 2 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -66. Let m = 4 + x. Let g = 56.6 - m. Which is the nearest to -0.2? (a) g (b) 0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 3*z + 1. Let p be d(-2). Let m(r) = p*r - 4 + 0 - 2. Suppose 19 = y + 3*c, -13*c + 15*c - 14 = -y. What is m(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/3 - 728*q - 99372.\nAnswer: -4*(q + 273)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 - 2*h - 492*h**2 - 13*h**3 + 134*h**3 + 48 + 489*h**2 to the form b*h**2 + t + o*h + d*h**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71\/6 + -100\/3. Let z = 21 + j. Suppose 5*k = -4*x - 0 + 2, -5*x - 5*k = -5. Which is the closest to -3? (a) -3 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 241*c**3 + 242*c**3 - 484*c**3 + 24*c**2 to the form k*c**2 + a*c + v*c**3 + n and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 28 = -3*d, -4*d + 48 = 4*l. Let c be 759 - (9 + (1 - 2)). Suppose -7*u + l*u = c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/((-5)\/30). Let b be 2\/(1 - n) - -2. Solve -b - 2 = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16780768 is divided by 2482.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6560 is divided by 364.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2608, 5183, 7750, 10297, 12812?\nAnswer: 15283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-4) + (-126)\/(-168).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 63 - 117. Let j = n - 17. Let a = -3 + j. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1480 and 43\/60606.\nAnswer: 1212120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -13. Let t be (-7)\/(-1) - (d + 3). Suppose -t*q + 3*q = -4*x - 41, -5*q + 188 = -3*x. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3333\/14443 + (-349)\/1625.\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - p + 15971 = 16012, 0 = -20*n + 3*p + 203 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 178, 262, 342, 412?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 288793 divided by 30\nAnswer: 288793\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 19*g - 18. Let j be h(18). Let k(x) = x**3 - 5*x + 9. Let r be k(j). Let i(o) = 15*o - 2*o**3 + r*o - 25*o + 1. Calculate i(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzmm when four letters picked without replacement from mzmuzzmzzzzzm.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/35 and -49\/648873.\nAnswer: 22710555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -28 + 2*b + 51 - 23. Let x(t) = -t**2. Give n(x(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from fffacfaveaaafvavacf.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 9:29 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -5\/6 (c) 2\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -n - 0*n + 97, -3*u + 595 = 5*n. Suppose 2*h - 124 = -3*t, h - 2*t + n = 3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -8*y + 12*y, y = -3*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 559? (a) -1 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3 = 2*h. Suppose 0 = -4*z - 3*c + 31, -5*z + 13 = 5*c - 22. Suppose 11*p = z*p + 2. Solve -p*o = h*j + 3 + 4, -4 = j + o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*k + 12 - 17, -22 = -5*k + 24*r - 63 - 40 - 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j + 4. Suppose 3*t - 2 = -29. Let q(y) = 6*y + 7. Let k(c) = t*r(c) + 4*q(c). Is 12 a factor of k(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -5\/1651519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(26\/10))\/(2547\/(-283) + 124\/14).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17927637.\nAnswer: 3, 7, 13, 97, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176094477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20350 + -61049\/3. Let r(u) be the second derivative of 16*u**2 + 0*u**3 + 0 + o*u**4 - 23*u. What is the derivative of r(m) wrt m?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -7, -1\/4, -7\/3 in increasing order.\nAnswer: -7, -7\/3, -1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1695 * -4.\nAnswer: -6780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-375)\/20*(-424)\/(-318)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 915824.30223 - 916013.3. Let k = -189 - r. Round k to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 5. Let x = -118 + 111. Let t = -2 - x. Let q(i) = 3*i + 11. Determine t*b(m) - 2*q(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 1\/24*h**3 + 0*h + 1\/32*h**4 + 0*h**2 - 4. Factor o(a).\nAnswer: a**2*(a + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - -0.51. Let k = 0.09 + t. Put k, 1, 0.5 in descending order.\nAnswer: 1, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312912 and 636?\nAnswer: 312912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-4)*352\/(-6). Suppose 0*p - l = -5*p. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/28)*l\/(l\/l**(9\/4)) assuming l is positive.\nAnswer: l**(31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1, 1.\nAnswer: -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 954*k**2 + 8502*k - 34. Determine s(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112579 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1066 at most -1062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 4*d**2 - 6*d + 5. Let f be l(3). Let x be f\/3 + (-4)\/(-3). Suppose 3*q = -2*q - b - 10, 0 = -4*q - 4*b + 8. Is q > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1328*z**2 + z + 4. Let d(p) = -2*p. What is d(x(c))?\nAnswer: 2656*c**2 - 2*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/30 - 174*d**2 + 7*d. Let t(q) = -23394*q. Determine t(k(n)).\nAnswer: -46788*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 1:44 AM?\nAnswer: 137","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 hhmmmjjjjmjhzj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-33))\/((-28)\/35*-5))\/((-135)\/(-55))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 12) + (48 - 44) - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/(-25) - 2)*((-140)\/49)\/((-234)\/273)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 8 = 9*z. Let n(a) be the second derivative of 3\/20*a**5 + 0*a**z + a**2 + 0 - 2*a + 0*a**4. Find the first derivative of n(j) wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 124*i**3 - 312*i**2 - 7200*i.\nAnswer: -4*i*(i - 25)*(i - 12)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-4)*4\/3*174\/(-116).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1611 and 35?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(18\/4 - -2). Let u = -268.3 - -270.3. What is the third smallest value in i, 0, u, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9281663\/172 - -53963. What is the common denominator of d and -11\/387?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m**2 - 2*m - 9. Let h be d(-6). Suppose 4*x - 2 = -2*k + 34, 2*x = -5*k + 34. What is the remainder when h\/(-21) - (-4)\/14 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -530351749 - -34385.\nAnswer: -530317364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121580, 13, 32.\nAnswer: 13, 32, 121580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkz when three letters picked without replacement from {k: 7, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 795398 bigger than 795394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81721 and 8260727.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.1 (b) -3 (c) 0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -19. Is (-941)\/d - (-1)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 99 = 5*w. Is 17 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + k - 156 + 138. Let c be (-9)\/3 + ((-192)\/(-8))\/(-4). What is z(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 22*i**3 - 59*i**2 + 70*i**2 + 23*i**3 to the form u*i + g*i**2 + t + c*i**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 47 = -k - 0*k, -4*k - 46 = -2*r. Let p(l) = 29 - r - l - 8. What is the units digit of p(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60490255?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 3840 = -196*l - 107*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -465 + 464. Let x = -36 + 41. Let b(h) = 8*h - 8. Let j(t) = -8*t + 9. Let y(k) = x*j(k) + 6*b(k). Let c(n) = -n + 1. What is w*y(q) - 5*c(q)?\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6) - 11\/3 - 156\/(-52). Sort v, -0.1, -1, 0.5, 15\/26 in increasing order.\nAnswer: -1, -0.1, v, 0.5, 15\/26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 2\/7, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29275494 smaller than 29275494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 165, 142, 99, 30, -71, -210?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = 80*w - 4731. Solve -82*o + 2 = -w*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1.8. Let n = 268\/39 + -72\/13. Which is the biggest value? (a) u (b) -2\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/(-72)*(-6)\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1169, -4692, -10623, -19010, -29901, -43344, -59387, -78078?\n\"Answer: -8*w**3 - 1156*w**2 + w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tltllllottttt. What is prob of picking 3 l?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456 = 5*y - 3*j + 460, -4*y + 5*j - 24 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 10 = -f, l = 5*f + 52. Let y = l + -36. Solve y*r - r = -3*s - 9, -s - 3 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 44*l - 143. Calculate n(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110000011110010011110 + -1000?\nAnswer: -1000110000011110010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 3:42 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*t**2 + 5 - 1 - 44*t**2 to the form j*t**2 + b*t + f and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 20\nAnswer: 27\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 10:25 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4287 + 1063. Let w = r - -5353. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3744a (base 11) to base 13\nAnswer: 1b62a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4049, 4042, 4037, 4034, 4033, 4034, 4037?\n\"Answer: q**2 - 10*q + 4058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 92851, 93075, 93299, 93523, 93747, 93971?\n\"Answer: 224*f + 92627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 132072196.75 from 17.\nAnswer: -132072179.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1529895?\nAnswer: 3, 5, 29, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 4*x + 5*r - 15, -4*x = -4*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + 57798*v**3 + 11*v**2 + v - 57792*v**3 - 5*v**2 - v.\nAnswer: 6*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**31*h**(2\/29))\/(h**(-3\/14)\/(h\/(h\/(h**(-25)\/h))*h)))**(4\/13) assuming h is positive.\nAnswer: h**(-44430\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -780 by -65.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -332, -679, -1042, -1427, -1840, -2287, -2774?\nAnswer: -3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -167*u**2 + 1050*u - 266. What is z(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 163.86 + -163.9. Sort b, -4, -0.48, -2 in ascending order.\nAnswer: -4, -2, -0.48, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/8 - 7*w**3\/8 - w**2\/2 + 3*w\/2 = 0. What is w?\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 s, and 2 d when four letters picked without replacement from srrrrdrdbbrrrr?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -31*c**4\/3 + c**3\/6 + c**2\/2 + 11*c. Let f be y(1). Let j = 226 + f. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296 - 298 + 162*t + 129*t.\nAnswer: 291*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647443451 rounded to the nearest 100000?\nAnswer: 1647400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1984 - -3055. Is z a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Suppose 3*z - z + 6 = x. Let h be (1\/7)\/(1\/z). Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 33 (b) -3 (c) -4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**3 - 3*x**2 + x**3 - 2*x**3 - 6*x**3 wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51953843.\nAnswer: 277, 187559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 6, k: 4, m: 9}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106003 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -10*z**5\/7 + 4524*z**4\/7 + 12302*z**3\/7 - 214464*z**2\/7 - 134872*z\/7 + 12480 = 0.\nAnswer: -8, -1, 2\/5, 6, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2.3 (c) -0.199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30668809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 17*t**2 - 37*t - 35. Is v(-5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1167 divided by 3.\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 9:48 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4796, -4, 21, 33 in descending order.\nAnswer: 33, 21, -4, -4796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -4*l**3\/3 + 2. Let w(g) be the second derivative of 0 + 0*g**3 + g - 1\/6*g**4 + 0*g**2. Determine v(w(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34826\/15 or -2322?\nAnswer: -2322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1458.753400779 + -0.077?\nAnswer: -1458.830400779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 798*y - 148*y - 8822*y to z + r*y and give r.\nAnswer: -8172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-6))\/((-1)\/(-12)). Suppose 133 = f + t*f. Calculate the remainder when 74 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3\/2, -2\/333 in descending order.\nAnswer: 19, -2\/333, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 34.34. Let i = 0.04 - x. Let q = -6.3 + 8.3. Which is the third smallest value? (a) q (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 + (-3 - 7 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 6:12 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*w - 16. Let b = 10 + w. Factor -2*j - 2\/3 - 2\/3*j**3 - b*j**2.\nAnswer: -2*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/259*14\/(-52)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 8 + 114 + -71.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = 0. Suppose 4*p + 4*c - 26 = p, m = -3*c + 15. Suppose -5*v = p*f - 131, 179 = -3*f + 6*f + 4*v. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519155?\nAnswer: 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 784475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28046, 56047, 84046, 112043?\n\"Answer: -o**2 + 28004*o + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 633 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/595 and 73\/238.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 16 = -3*k. Suppose -k*u + 2*j = -8, 4 = 3*u - 4*j + 3. Suppose -u*x + 1 = 16, -r - x + 56 = 0. Calculate the remainder when r is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/13420 and -29\/14222516.\nAnswer: 71112580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -828944.\nAnswer: -1\/828944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g. Let y(w) = w**2 + 4*w. Calculate 11*o(c) + 6*y(c).\nAnswer: 6*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5502 - -4?\nAnswer: -5454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.815 + 36.9.\nAnswer: 34.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.211 less than -16444?\nAnswer: -16717.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1512713\/6 = 252120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1458517*k**3 - 1477426 with respect to k.\nAnswer: 4375551*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 + 5.9. Let k = 132.2 + -133.2. Which is the nearest to k? (a) -1 (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*a**4 + 18*a**4 + 10*a**3 + a**2 - 1 - 348*a + 344*a in the form s*a**4 + o*a**2 + f*a**3 + k*a + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((((s\/s**7*s)\/s*s)\/s)\/s)*s*s**(2\/11)*(s**(-1\/5)\/s)\/s**(-9\/5) assuming s is positive.\nAnswer: s**(538\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9 - -6 - 2\/(6\/(-486663)). Is w\/42 - (-3)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:32 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2. Let u(f) = 4299*f. What is u(m(o))?\nAnswer: 8598*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 6:57 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*x - 5*x. Suppose x + 3 = -4*j. Is j\/(3 - (-214)\/(-71)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 23*u**3 + 19*u**2 + 68*u - 1219. Is h(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 4*c - 1 + 3 + (0*c + c + c + (2*c - 3*c + 2*c)*(1 + 1 + 0) + 44*c - 27*c + 9*c)*(-2 - 7 + 6).\nAnswer: -95*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*q + 3 = 0, 4*i + 2*q - 11 = -q. Suppose 5*x = -4*m + 56, 2*m = 47*x - 48*x + 22. Suppose -i*v + m = v. Solve -5 = -2*t - v*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkx when three letters picked without replacement from {x: 1, r: 1, k: 2, p: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -21200322?\nAnswer: -21200331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -2\/7 (c) -5 (d) 0 (e) 0.2 (f) -290.93\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21112020210212 (base 3) in base 9?\nAnswer: -7466725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350125 divided by 70025.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 332986118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.103 - -2.803. Which is the nearest to l? (a) 0.2 (b) 3\/5 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 7*f + 6. What is the first derivative of -2*q**3 - 6 + 5 - 6 + q**f wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 3 (c) -0.01 (d) 2\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 8:00 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -15178 and -15135 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 564*j**2 - 155*j - 253594.\nAnswer: 1128*j - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 21 - 14 - 5*w**3 + 2*w**3 + 2*w**3 - 2*w**3 + (1 - 3 + 1)*(-w**3 - w**3 + 3*w**3) - 3*w**3 + w**3 + 0*w**3.\nAnswer: -6*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11.8, -0.2, -5\/4, -1, -2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 847\/6 - 139. Let g = 79 + -67. Calculate the common denominator of w and ((-1100)\/g + -1)\/((-4)\/(-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 7:11 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 11*t**4\/12 + 9*t**3 - 3*t**2\/2 - 57*t. Let a be w(-5). Solve 0 = 5*c, -4*c = r - 0*c + a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 923173, 923169, 923165, 923161, 923157, 923153?\nAnswer: 923149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 - -198. What is the remainder when b is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 685463*s**5*u + 5*s**2*u + 39*s*u - 801*s - 14*u - 2 wrt s?\nAnswer: 13709260*s**3*u + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 12*r**2 + 4*r**2 to m*r**2 + a*r + d and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11601879 is divided by 881?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*x - 4. Suppose 3*m = -x*k + 45, 2*m - 3*m - 29 = -3*k. Suppose -17*z = -15*z - 2. Calculate the greatest common divisor of z and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -19) + -8 - 22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o = 568 + 632. Let s be -3 + 26\/10 - (-64)\/o. What is the third smallest value in -1\/3, -5, s, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 27, 31, 35, 39?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3\/7, 8, 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -507216851.1 to the nearest 10000.\nAnswer: -507220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*q - 3*v, -3*v + 4*v - 9 = -3*q. Suppose -8 - 8 = -2*z. Solve 3*s = z + q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.409201211 rounded to 3 decimal places?\nAnswer: 0.409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25513346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 12:22 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207701.806 rounded to the nearest 100?\nAnswer: 2207700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 2:11 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1123363, 1123362, 1123361, 1123360, 1123359?\nAnswer: 1123358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3\/4, -599498, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1153.2 from -140806855.\nAnswer: -140805701.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -479b - -970?\nAnswer: -3a2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 166*p - 5871. Determine j(30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16609 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.66 - 0.47. Let x = z - -0.01. What is the second smallest value in -1, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29809 smaller than -25828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**4\/4 - 6*w**3 + 17*w**2\/2 - 8*w + 696. Let t be (616\/(-18))\/(-2) + 2\/(-18). Calculate l(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -64\/11. Suppose 0 = -3*k + 6, 3*k = -2*m + 7 - 1. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30823*p**4 + 7*p**3 + 6*p**2 - 2549866*p.\nAnswer: 369876*p**2 + 42*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**2 - 19*z + 66. Let j = 146 - 143. Let p = 26 - 12. What is the remainder when h(j) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1112*y + 1116*y = 580, -5*j = -2*y + 1482. Which is bigger: -282 or j?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 3*y**8\/112 - y**7\/70 - y**6\/20 - 22*y**2. What is c in k(c) = 0?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (8 - (0 + -4)) + -3 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4360 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004299 to seven decimal places.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 3*j**3 - j**3 - 16*j)*(-3*j**2 + 2*j**2 - j**2).\nAnswer: -4*j**5 + 40*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/6)\/i**(-20))**(-50) assuming i is positive.\nAnswer: i**(-2975\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 9:52 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t + 2*u, 3*t - 3*u + 19 = 4. Does t = -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*u + 36 = -6*o + 206*u, 5*u - 24 = 4*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -87*u + 33851. What is p(389)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0124 and 0.270218.\nAnswer: 0.0033507032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 0.11 (c) 4 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/230 and -52\/7?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 137\/15. What is the biggest value in 0.7, -4\/5, i, -0.3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 2\/105*c**6 + 5*c - 4\/21*c**3 - 3 + 0*c**2 - 4\/35*c**5 + 5\/21*c**4. Let m(l) be the first derivative of t(l). Factor m(w).\nAnswer: 4*w*(w - 2)*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1504 + 4021. What are the prime factors of u?\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 22, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299887 is divided by 4108.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 - 14691 + 14691.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 4*k**2 + 0*k**2 + (-k + 0 + 0)*(4*k - 7*k + k))*(-4 + 4 - 1)*(-k + k - 3*k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/2547 - 132004\/140085. What is the common denominator of (16\/25)\/(-2) + -2 and o?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -4)\/(3\/2). Let q = a - -5. Let j be q*(60000\/(-7))\/2. Round j to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -a6?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -32. Solve -3*i - 5*w - 5 = 0, -5*i - 1 - z = 3*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = -110. What is the remainder when u is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1562 and 497.\nAnswer: 10934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40900 and 7501100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 16) to base 3.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 133218 = 26*g + 9*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 5 + 0*q**3 + 4*q**2 - 5\/2*q**4 + 0*q. Find the second derivative of g(j) wrt j.\nAnswer: -60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 6*t**2 + 2*t - 9. Let m be g(6). Suppose -2*k - 3 = -5*r + 8, k + 6 = m*r. Calculate the smallest common multiple of 3\/(k\/2) - -8 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*z + 35*z + 3870 = -49*z + 205*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 7618*c + 106788. What is g(-14)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -r + x + 906, 2*r + 5*x - 2007 = 0. Suppose -14796 = 2*c - r. Round c to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 188*m + 1398. Calculate the remainder when 3651 is divided by o(86).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11691*o - 11 = -z + 11692*o, -5*z - 29 = 2*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 214 + -114?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 125660057 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: Calculate the remainder when 64685685 is divided by 738.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2049728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = u. Let k(h) = 2*h**2 + 2*h + 1. Let j be k(u). Suppose 1 + 1 = 2*m. Solve m = 3*b + j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 6 - 5073*y - 1 + 5074*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + l + 12. Let u be o(0). Suppose 6*n - 2*n = u. Suppose -2 = n*d - 2*i - 2*i, -i + 23 = 3*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-12)\/30)*4\/(-50)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2258001, 2258007, 2258017, 2258031, 2258049?\n\"Answer: 2*d**2 + 2257999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33.7 - -38. Let l = -803199.699932 + 803204. Let x = l - f. Round x to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -5a?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 7) in base 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l - 1. Let f(x) = x**3 - 3*x**2 + x - 2. Let m be f(3). Let v(y) = -m + 5 + 9*y + 0 - 6. Determine -11*j(b) + 6*v(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (0 - 0)) + -36 + 10 + 22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.162.\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7024 - -7052. Solve -i*c = 9*c - 148 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -35*m + 14057. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-19)\/(57\/(-6)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cba + 106?\nAnswer: -bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 5*d - 5. Let c be n(4). Suppose 102*x = 44*x + 116. Let t(m) = -m**2 - m - 1. Let r(z) = -z**2 - 3*z - 2. Determine c*r(p) + x*t(p).\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (34\/(-12))\/((-130)\/(-30)). Let z = -2676\/13 + 206. Let w = q + z. What is the third biggest value in w, -2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 r when three letters picked without replacement from {d: 3, r: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3 + 0 - 5 + 3 - 2*o. Calculate the remainder when 26 is divided by f(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 - 165. Is (2\/4)\/(d + 7473\/1868) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1650 and 6450.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*o + 2*w + 14, -w = 2*o - 1. Suppose 2*u = -o*u + 4*h - 48, u = 3*h - 22. Let z(c) = -19*c + 11. Does 9 divide z(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s - 19 - 45 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 185*m**2. Let d(k) = 38460*k. Calculate d(g(p)).\nAnswer: 7115100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949281483?\nAnswer: 3, 337, 938953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-350500)\/(6 - (-639)\/(-108)). What is o rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 46\/7*i**2 + 0 + 6\/7*i**3 = 0. What is i?\nAnswer: -7, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {l: 4, i: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3454 + 3131.3. Let b = o - -305. What is b rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3133, -2516, -1901, -1282, -653?\n\"Answer: r**3 - 7*r**2 + 631*r - 3758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 7*q**2 - 2. Let c be f(7). Let x = c + 0. Find the common denominator of -91\/4 and 1 - (x - 81\/10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i*i*i\/(i*i**10))))\/i)\/((i*i\/(i**(2\/11)\/i))\/i))\/(i\/i**(-2\/33)*i**24\/i))**(1\/18) assuming i is positive.\nAnswer: i**(-1151\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27623 and 1725.955.\nAnswer: 29348.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307356?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**3 + 9449*a**2 + 142464*a.\nAnswer: 42*a + 18898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8574500 or -8574501?\nAnswer: -8574500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -45*c**3 + c**2 - 2*c + 1. Let u be a(1). Let y(z) = -2*z + 7. Let t be y(5). Let v = u + t. Is v < -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4146584 and 364.\nAnswer: 29026088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2012292775 to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*y - 3*b + 210, -3 = b. Suppose 8 = 3*t - y. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 39 = 171. Do j and 36 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003513 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 25304*0.59\nAnswer: 14929.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 8:52 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.125 (b) -3 (c) 20925 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -111 + -99 + 88 + 68\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*o = -117 + 124, o = 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = v + 7*x - 2*x, 2*v + 3*x - 25 = 0. What is the closest to 0.1 in v, 33\/5, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 16*a**2 + 22*a + 6. Let g be s(-17). Let o = g - -37. Let w = 114 + o. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*s - 38*s - 73671 = -8331. Calculate the highest common divisor of 110 and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*9\/6 + -2. Let a be (4\/2)\/(0 + t). Suppose 0 = 3*b - a*c + 5 - 19, 4*b - 3*c - 19 = 0. Solve 5*x + 5 = -3*w, -5*x - 4 = -x - b*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -5, 7 in decreasing order.\nAnswer: 7, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 10, 0 = j + 5*k + 9. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6307 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: Calculate prob of picking 3 o when three letters picked without replacement from lllojolol.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17360428?\nAnswer: 2, 197, 22031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158082 is divided by 68.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/(32\/(-48)). Which is the closest to t? (a) -2 (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851894644?\nAnswer: 2, 383, 556067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1842, -4120, -6398, -8676, -10954, -13232?\nAnswer: -15510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 0 + 9 - 10. Let a(n) = -n + 6. Let z(f) = a(f) + 5*s(f). Let l(y) = -y - 5. Let k be l(0). What is z(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2258652?\nAnswer: 2, 3, 11, 71, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 621.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -753 + -680?\nAnswer: -1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -8 - (-2 + -2)) + (10 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-66)\/8)\/(3\/(-8)). Suppose -5 - 10 = -3*a. Solve a*j + l = 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 226684 and 226691 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71 - -3?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2062 + 4732. Is b a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -3a5a934?\nAnswer: -3a5a938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -11, -4\/5.\nAnswer: -11, -5, -2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*l - 23 = 56, 342*h = 343*h + 17*l - 491 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -66 (c) 2 (d) -1\/12 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000 (base 2) in base 9?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2116 and 7?\nAnswer: 14812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**3\/2 - 3*h**2\/2 + 30*h - 1. Suppose 0 = -5*z + 6 - 21. Calculate l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 62.7016g?\nAnswer: 62701.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02129 and -18553.\nAnswer: -18553.02129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59100965?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5784, 5, 58, -4, 0 in decreasing order.\nAnswer: 58, 5, 0, -4, -5784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1 + 2 + 4. Let s(g) = -3*g - 3. Let o(x) = 3*x + 3 + 0*x - 1. Determine u*o(q) + 4*s(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 49335 = 5*b - 121089, 0 = 5*w - 2*b - 121698. List the prime factors of w.\nAnswer: 2, 3, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/231 and 31\/63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*o = 67 + 369 + 110. Let z(v) = 5*v**2 + 32*v + 13. What is z(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**3 + 12*a**2 + 39*a - 6 wrt a.\nAnswer: -30*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0433 minus 32270.6?\nAnswer: -32267.5567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98013?\nAnswer: 3, 37, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 73*w + 1632. Calculate the smallest common multiple of 420 and n(42).\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/15568 and -131\/504.\nAnswer: 140112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 - 72. Solve 3*i - 20 = s*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-3))\/(22\/(-33)). Find the third derivative of 5*v**6 + 4*v**6 - 6*v**6 + 8*v**b + 3*v**2 wrt v.\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10002530 and 1000.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 1\/8, -8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/3 - 1718*d**2\/3 - 1148*d.\nAnswer: 2*d*(d - 861)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1207\/10 + 243\/2. Let s = -0.35 + 0.05. What is the third smallest value in s, -1\/6, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Let d(x) be the first derivative of 0*x + 0*x**2 - 1\/3*x**3 - 9. Give t(d(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 171383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90869889 divided by -803.\nAnswer: 113163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011 (base 2) in base 15?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, 5, -0.05, 1\/3 in descending order.\nAnswer: 120, 5, 1\/3, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 2*g + 5. Let a(v) = -44*v - 7. Give a(b) - w(b).\nAnswer: b**2 - 42*b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -2. Which is greater: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -27*a**2 - a + 107. Suppose 74*x - 75*x + 4 = 0. Let o(f) = f**2 + f - 1. Let r(p) = x*o(p) + j(p). What is the derivative of r(i) wrt i?\nAnswer: -46*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 32.47, 63144?\nAnswer: 32.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 54.2. Which is the closest to z? (a) -4 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14292491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 58*g + 2*g**2 + 0*g**3 + 0 - 57\/20*g**5 - 1\/6*g**4. What is the third derivative of c(w) wrt w?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(0 + sqrt(2448)) + sqrt(2448))**2.\nAnswer: 61199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + 3*l. Let o(p) = -9*p**3 - 5*p**2 - 14*p - 7. Let f(d) = o(d) + 4*v(d). Suppose 0*t = 4*t + 20. What is f(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 6. Let c(s) = 4*s**2 - 4*s - 1. Let q(m) = 7*m**2 - 7*m - 3. Let a = -10 - -15. Let z(i) = a*c(i) - 3*q(i). Give z(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 3*k**2 + k + 1. Let a(x) = 5*x**3 + 66*x**2 + x + 6. What is -a(d) + 4*p(d)?\nAnswer: -d**3 - 78*d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + (-1 + sqrt(98)*1 - 1*sqrt(98)*5))**2.\nAnswer: -56*sqrt(2) + 1566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen quarters of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 14*g. Calculate the smallest common multiple of (2 + (-8)\/(-4))*5 and q(2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5 + 206*q**4 - 22932*q**3 - 119106*q**2 - 73629*q + 215460 = 0. Calculate q.\nAnswer: -285, -3, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -13 - -50) + (5 - 1) + (-5 - -7)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227 + 226. Let h = -452.99999817 + b. Round h to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 37*h - 197. Let i be a(7). Suppose -4*s + 2*m + 47 = -17, -i = -4*s + 3*m. Calculate the remainder when 299 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dood when four letters picked without replacement from wdodoodd.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 9*x**2 - 22*x + 29. Is a(-11) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91\/24 + -9\/8. Let m = -196062409\/42 - -4667179. Let v = 1945\/2 + m. Calculate the common denominator of v and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**4\/2 - 39975*c**3\/2 - 240066*c**2 - 384*c + 5121408 = 0.\nAnswer: -8, 4, 13337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 4556 and 4556 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -51.05, -1, 16, 0.05, -6\/7, 0.01?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**4\/12 + 16*f**3\/3 + 247*f**2\/2 + 6086*f. Find w, given that h(w) = 0.\nAnswer: -19, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27011 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366145 and 41065?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.028 + -24.028. Let m = d - -26. What is the closest to 1\/2 in m, 0.04, -0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**6 - d**4 + d**3 - 1. Let v(n) = -35*n**6 + 6*n**4 - 6*n**3 - 23*n**2 + 6. Let p(o) = -6*t(o) - v(o). Find the third derivative of p(i) wrt i.\nAnswer: 3480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-8))\/(-4 + -474*(-11)\/1320). Let f(d) = -2*d + 4. Let n(s) = -s**2 - 4*s + 9. Give o*f(q) - 2*n(q).\nAnswer: 2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29361, -29950, -30539, -31128, -31717?\n\"Answer: -589*n - 28772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6\/(r**(-1\/10)\/r*r))\/(((r\/(r**(-2\/7)\/r))\/r*r*r)\/r**(-1))*(r*(r**0\/r)\/r)**(-27)\/((r*r*r*(r\/r**(-2))\/r*r*r)\/(r\/r**(-2\/15))) assuming r is positive.\nAnswer: r**(4819\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, e: 4}. What is prob of sequence hhe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 14. Let l = q - 6. Let z = l - -11\/2. What is the common denominator of z and 58\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100200101 - -1022202?\nAnswer: -22100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1019788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1480)\/201 - (-40284)\/1349514.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - s + 2. Let t be (1\/(-3))\/((-2)\/(-12)). Let a be t + (9 - (5 - 3)). Suppose -u - 12 = a*p, -2 = 2*p + 2*u + 6. What is r(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 1 - -2) + (2 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 350 + -347. Suppose 3*z + 21 = 6, -3*n - o*z + 2034 = 0. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s**1\/s)))**(-38)*(s\/s**(-4\/3))**(-16\/3) assuming s is positive.\nAnswer: s**(-454\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18514903.\nAnswer: 11, 41, 61, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*c + 22084 = -13103, 4*c - 11729 = -t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 5, -12, 0.7, 8, -2\/311 in decreasing order.\nAnswer: 8, 5, 5\/2, 0.7, -2\/311, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -611627\/5 != 184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/58834 and -20\/604967.\nAnswer: 27828482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 30*w**3 - 7*w**2 + 57*w + 6. Let d be s(5). Suppose 14*l - d = 1174. Is l a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-35) + (-122)\/(-14). Suppose -4 + s = g. Which is the third biggest value? (a) -4 (b) -6\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20406*c**2 + 4132*c**2 + 17028*c**2 - 7825*c**2 - 787*c**2 as s + z*c**2 + d*c and give z.\nAnswer: 32954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177144 and 440?\nAnswer: 885720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = -348*f + 351*f, -4*f + 5*w = 21. Which is smaller: 1\/1911 or f?\nAnswer: 1\/1911","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 237 + -115. Let q = o + -80. Calculate the remainder when q is divided by -11*(-2)\/4*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*((-6*(sqrt(300) + 1) - -2*sqrt(300)*-6) + sqrt(300)*3*2 + 0)**2 + 5).\nAnswer: 4320*sqrt(3) + 129693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*u**3 + 128*u**2 - 332*u + 168.\nAnswer: -4*(u - 7)*(u - 3)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - 9) + 1 + 2. Let w(z) = -z**2 + 23*z - 99. Let o be w(17). Solve o = x*b + 4*p, 0*b + 4*b - 5 = -5*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1759.5 minus 279564?\nAnswer: -281323.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-51)\/(-15) + 2\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayeyopao. Give prob of sequence oya.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 339 + 880?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 38.13266km?\nAnswer: 38132660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9171 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}