diff --git "a/data/dm_maths/full_data_1/10135_11255.jsonl" "b/data/dm_maths/full_data_1/10135_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10135_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 203871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1755189*r**4 + 2685*r - 10434*r - 1760947*r**4 wrt r.\nAnswer: -69096*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8983007 minutes in hours?\nAnswer: 0.031638345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8)*(-19)\/((-76)\/(-24)). Let s = -0.33 + 0.03. Sort b, s, 0.17, 3.\nAnswer: b, s, 0.17, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006424 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742441 is divided by 263?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 10 + 26 = -2*x, -12 = 2*x + 5*v. Let s = -4 - -45. Let w = x + s. Calculate the greatest common factor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 180443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + k**2 + 2*k + 1. Calculate the remainder when 83 is divided by f(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -2830823.\nAnswer: -1\/2830823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 - (-7)\/((-28)\/(-4)). Let b be d\/((-78)\/(-16))*2\/(-24). What is the second biggest value in -0.3, b, 0.08?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -6*p + 5*p - 3, 4*z = 5*p - 41 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1133680 + -3?\nAnswer: 1133676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**3\/3 - j**2\/2 + 6*j - 1. Suppose -16031*s + 15989*s = -126. Determine u(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66181248 and 320.\nAnswer: 330906240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 22*v + 21*v = -11382, -v = 4*j - 15177. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0645318 - 22.\nAnswer: -22.0645318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504314480?\nAnswer: 2, 5, 113, 55787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3098213*m**3 - 1551610*m**3 - 1546600*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 5:57 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-6 - (-26 - (7 - 9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 184 = -51. Suppose -s + 23 = -2*j + x*j, 17 = -s + 3*j. Let d = 119\/3 + -41. Are s and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3058209 <= -3058207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((4 - 5) + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -6, -1 in ascending order.\nAnswer: -6, -1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/3)\/(-3*(-4)\/12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*4 + (sqrt(66) - 3*sqrt(66)*2 - sqrt(66)))\/(sqrt(24)\/sqrt(4)*4 + (sqrt(6)*5 - sqrt(6))*-4).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c - 95. Let g be t(33). Suppose -3*b - 2*y + 687 - 24 = 0, -4*b + g*y = -904. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/23)*u\/(u\/(u*u**4))*u**(-1\/5)\/((u*u**(-3\/4)*u)\/u)*u**(-3)\/u**(-1\/3)*u\/(u\/u**(-6))*u**(-1\/5)\/u assuming u is positive.\nAnswer: u**(-7217\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4 - 55*m**2 - 1 + 16 - 40*m + 53*m**2. What is the smallest common multiple of c(-20) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 3*j**2 - 2*j)*(-3 + 1 + 1) + (0*j + 0*j + j)*(-j + 3 - 3) + 2*j**2 + 3*j**2 - 2*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 7:25 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = d + 10, -d + 32 = 3*b - 8*b. Let n = -272 + 257. Let u = b - n. What is the highest common divisor of u and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h**2 - 15*h + 7. Let k(j) = j**2 - 4*j - 1. Let y be k(4). Let x be -9 - 0 - (-2 + y). Let z(m) = 4*m**2 - 4*m + 2. Determine x*b(p) + 22*z(p).\nAnswer: -2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 282, 16\/9, 1\/81 in increasing order.\nAnswer: 1\/81, 16\/9, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o. Suppose o = -0*k - 3*k + 3*w, 15 = 2*k + 3*w. Solve -k*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1155 - -1334. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*a = 2 + 3, 3*n + 3 = 4*a. Let z(r) be the third derivative of 1\/6*r**3 - 1\/30*r**5 + 1\/12*r**4 + 0 + 0*r - 2*r**2. Determine z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8*4*(-5 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 18*u**2 + 2*u**4 + 2*u + u**3 + 1 to the form g*u**3 + p + w*u**2 + k*u**4 + t*u and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 17*o**2 + 21*o + 4. Let g(k) = k + 11. Let s be g(7). What is the tens digit of l(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, d: 4, z: 2, i: 5}. What is prob of picking 3 i?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/2561 and 51\/65.\nAnswer: 12805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*q**2\/3 + 1148364*q + 1722548\/3.\nAnswer: -4*(q - 430637)*(2*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t + 3*t - 5*t)*(2*t + 2*t - 2*t) + 5*t + 22*t**2 - 5*t**2 - 18*t**2 + (-3 + 2 - 1)*(-1 - 2*t**2 + 1) as m*t + g + n*t**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 103. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798848787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -75ab58 (base 13) in base 5?\nAnswer: -1202001013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 1 - 1)*(2*l**3 - l**3 - 3*l**3) - 418 + 418 + 101*l**4.\nAnswer: 97*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**6\/2 - a**3\/3 - 184*a**2 + 247. What is the second derivative of c(b) wrt b?\nAnswer: -60*b**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -56\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3498882334 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + h - 7 = -4*h, -3*m + h = -3. Solve m*o = 3*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 1.466, -26\/17, -3, 0.3 in decreasing order.\nAnswer: 5\/2, 1.466, 0.3, -26\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, 3\/7, 55, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 + 178.3. Suppose 4*b - 4*x + 16 = 0, -x - 4*x + 6 = 2*b. Let t = b + 3. What is the closest to -2\/7 in z, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*l - 2*l = -12, 4*w - 11 = 3*l. Suppose 3*f - 23 = w*f. Let u = 95 + -28. Calculate the remainder when u is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.4178 + -7.48. Let i = r - -0.06220118. What is i rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(-2\/33)\/p)\/p*p)\/(p\/(p*p*(p**(-3\/5)\/p)\/p*p)))**(3\/31)*(p*p**(-1))**(1\/58)*(p**(2\/3))**(3\/23) assuming p is positive.\nAnswer: p**(903\/39215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 131307941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54867\/22, -3, 3\/8 in increasing order.\nAnswer: -3, 3\/8, 54867\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/3, 0, 5 in ascending order.\nAnswer: 0, 5, 25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10011000000?\nAnswer: 10010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + sqrt(567)*1)**2 - (2*sqrt(448) - (sqrt(7) + -2 + 0)).\nAnswer: 75*sqrt(7) + 587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15659?\nAnswer: 7, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 67?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**3 - 78*f + 78*f.\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 3076*i - 1158522.\nAnswer: -2*(i - 879)*(i - 659)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 8*w**2 - 5*w - 10. Let l be r(7). Solve -3*m + 8 = l*b, -5*b + 4*m = 10 + 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*p + 16, 1 = 6*p - 4*p + y. Let l = 1238 + -1237. Which is the nearest to l? (a) -2\/9 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175 + 188. Calculate the remainder when 77 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 - 2*n**3 + n**3)*(n + n - 3*n) + 6*n**4 - 6*n**4 + 7*n**4.\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0*x**4 + 0*x**2 - 3\/40*x**5 - 3*x + 0 + 1\/4*x**3. Factor b(j).\nAnswer: -3*j*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -9. Suppose -2*f = 4*k - 12, f + g*f = -k + 3. Factor f + 0*p + 0*p**3 - 1\/3*p**2 + 1\/3*p**4.\nAnswer: p**2*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*b - 7271 = -265*b + 954 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y + y)*(17 - 33 - 66)*(0 + 0 + 2).\nAnswer: -164*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 2*j**2 + 3 - 3)*(7*j - 2 - 16 + 17) in the form a + p*j + n*j**2 + i*j**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 4. Suppose -3*k = -13 - 5. Let b be ((-21)\/(-14))\/(((-10)\/(-4))\/(-5)). Let a be b\/(-2*(-3)\/k). What is h(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 - 2*i**2 + 6*i**2 + 4*i**2 - 33*i**3.\nAnswer: -33*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*y = -14353 + 7161 for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -110571, -0.5, 23 in increasing order.\nAnswer: -110571, -5, -0.5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = 5*v - 16, -5*v = 2*q - 13. Let u be 8 + v*(-2)\/(-6). Calculate the greatest common factor of 45 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5584 + -5596.176. Round r to 1 decimal place.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1443181951?\nAnswer: 163, 179, 49463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -919, -1358, -1795, -2230?\nAnswer: -2663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*n**5 + n**4 + 5*n**3 + 51*n + 109 wrt n.\nAnswer: -760*n**3 + 12*n**2 + 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 427*o + 222*o - 80*o + 93*o**3 + 85*o**3 wrt o.\nAnswer: 1068*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 25515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**4\/2 + k**3\/3 + k**2\/2 - 3*k + 2973. Let s(l) = l**3. Calculate n(p) + 4*s(p).\nAnswer: 2*p**3 + p**2 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - -3. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60.0000016 - 60. What is c rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 11*c = 7*c - 74, 4*c + 96 = 4*r. Suppose 50 = 12*b - r. Calculate the remainder when 15 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 9*k + 43)*(-1 + 1 + 2) - 7 + 7 + 7*k - 2*k + 0*k + k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c**2 - 9*c**3 - c**2 - c**5 + 4*c**5 + 7*c**2 = 0 for c.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -5 - -9)\/((-9)\/((-9)\/10)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57046.\nAnswer: 2, 11, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 37720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10114235 is divided by 778016?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 75. Suppose -4*m = -17 - s. What is the highest common divisor of m and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -1076, -2104, -3188, -4124, -4708?\nAnswer: -4736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1018*m - 20 = -1022*m + 4*t, 0 = 2*m + 4*t + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*b - 133*b + 444*b - 92*b to w*b + t and give w.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((((-30)\/(-24))\/(-5))\/(7\/(-28)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*g + 36 - 435 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -0.2892343?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 2\/3 (b) -3 (c) 0.5 (d) 4 (e) -1 (f) -0.0857\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23422474*j*p**2 + 2*j*p + 324*j + 4372*p wrt p?\nAnswer: -46844948*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*b - 104 = 0, 5*f + 96 = f - 4*b. Let m(w) = -2*w**2 - 63*w + 12. List the prime factors of m(f).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 45, 55, 65, 75, 85?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010713.\nAnswer: 19, 97, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-215)\/(-55) - 4). Let w(q) be the first derivative of q**4\/4 + 10*q**3\/3 - 11*q**2\/2 - 3*q - 1. What is the common denominator of -22\/9 and w(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 6:19 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0429*-287661.\nAnswer: -12340.6569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*h**3 - h**2*u**3 - 243*h*u**3 - 203223*u**3 wrt h?\nAnswer: 63*h**2 - 2*h*u**3 - 243*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 32, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2\/7 (c) -2\/3 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*w + 2. Let s be w + ((-2)\/2 - -1). Let m = 1 - 0.8. What is the smallest value in -1\/3, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544.3222 micrometers in meters?\nAnswer: 0.0005443222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -305 + 335. Suppose 3*h + 2*q = 6, 5*q - a = -15. Factor 8\/17 - 2\/17*i**2 + h*i.\nAnswer: -2*(i - 2)*(i + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3324*y + 62*y**2 - 3324*y.\nAnswer: 62*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 477, 1381, 0 in decreasing order.\nAnswer: 1381, 477, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-3.1.\nAnswer: -0.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -10)\/(-1) - 20.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gelm when four letters picked without replacement from {m: 1, l: 2, g: 1, e: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 17. Let m = -2 + 2. Suppose 2*h - h = m. Sort h, -0.2, g in decreasing order.\nAnswer: g, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.35548 - 0.3581452. What is o rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = -6. What is the remainder when 6 is divided by 2\/(-4)*j*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.4 - 2.8. Let g = 1.4 - 3.4. Sort -8, g, f.\nAnswer: -8, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6)*3*6\/1. Suppose 2*z = -2*j + g, 2*z = 4*j + j + 13. Solve t = -z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 - 30*q**2 + 38*q - 570. Is s(31) a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6\/19)*k*k**4 assuming k is positive.\nAnswer: k**(89\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -98\/257449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 12. Suppose -7*d = 14*d + 8*d. Solve -g*m + m = d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667655633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbmfflblllmlmlbbl. Give prob of picking 1 b and 2 f.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i - 58 + 158 = -116 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -0.076, -2\/5.\nAnswer: -2\/5, -0.076, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3))**(-6\/7)*j**(-9)\/j**(-4) assuming j is positive.\nAnswer: j**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -1.8, -3?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8699 = -4*d - 2071, -2*h + 6632 = 4*d. Put -4, d, 1 in increasing order.\nAnswer: -4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let w(g) = 24*g**2 + 6*g**2 - 31*g**2 - 3*g. Let p(t) = -6*k(t) + 2*w(t). Let h(u) = 10*u + 12*u + 9*u - 38*u. Give p(h(o)).\nAnswer: -98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 946337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/7 - 5\/((-15)\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/31851 and 38\/3759?\nAnswer: 39909303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 - 641\/7. Let w be 2\/(-3)*6\/(-4). Which is the nearest to w? (a) k (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 92*w + 32. Let v be p(-41). Solve -n - 435 = -v for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -24. Suppose k + 1 = 3*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -4. Let u = b - 5. Let y(t) = 2*t**2 - 4*t + 2. Determine y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2421 + 1818. What is the biggest value in -2\/11, f, -1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 197989, 4, 0.\nAnswer: -2, 0, 3, 4, 197989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/36*6*(-12)\/56*-2. Find x, given that 1\/3*x**j - 5\/3*x + 0 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u**2 + 13*u. Suppose -7*f - 33 = 9. Let s(k) = -4*k**2 + 6*k. Let c be (22\/(-4) + -1)*2. Let j = c + 26. What is f*n(i) + j*s(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 - 18. Suppose 4*q + p - 178 = n, 5*n = -q + 56. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1900) - (sqrt(1900) + 1*(-1 + sqrt(1900)))) + sqrt(209)\/(sqrt(55)\/(-3*sqrt(5)) - sqrt(11)) + -2.\nAnswer: -43*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -0.09, 5, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(77) - -6*-1*sqrt(77) - sqrt(77))\/(1*sqrt(44)).\nAnswer: -3*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001993 to 7 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 9659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2611 - 2623 = -4*m, 13 = 4*r + 10*m - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -8*j + 97 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 10*n + 8. Suppose 9 = t - 2*t. Let i be j(t). Is i\/((-1)\/(-3)) - -6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.4 less than -3?\nAnswer: 138.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4821, 4876, 4931?\nAnswer: 4986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 10*j**3 - 2*j**2 - 1688*j + 317. What is p(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*h - 4*y - 1, 0 = -h + 4*y + 2. What is the third derivative of 3*x**2 + 0*x**5 + x**5 + 9*x**h wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 76) + -140 + 187.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1045 + 1719. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -5 + 7 + -1 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -1. Let u be j\/(-7) + (-64)\/28. Is 4 a factor of (-1 - 11)\/u + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3793, 3820, 3857, 3904, 3961, 4028?\n\"Answer: 5*p**2 + 12*p + 3776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 13.1.\nAnswer: 5.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00925039978 to 6 dps.\nAnswer: 0.00925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -2*u. Let g(c) = u*c**2 + 0*c + c - c. Let f(l) = -3*l. Let n(m) = -4*m. Let p(r) = -3*f(r) + 2*n(r). What is p(g(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268209*h*i**2 - 13154*h*i - 59*i**5 - 547*i wrt i.\nAnswer: 536418*h - 1180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*w - 70*w + 36*w - 12*w**2 to y + j*w**2 + i*w and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*v + 40, 0 = -m + 2*m - 2*v + 4. Suppose -m*o = z + 3, 19 = 5*z - 5*o + 8*o. Solve 2*b = z*k + 17, -36 = 4*b + 2*k + 2*k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.079 and -0.0921.\nAnswer: 0.0072759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:33 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.0285 (b) -1 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f + 50773872 - 14463352 = 0. What is f rounded to the nearest 10000?\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 148 = -22. Let p(x) = -2*x**3 + 52*x**2 + 5*x + 44. Let l be p(26). Suppose -2*i = -l + w. What is the remainder when i is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-2\/7)*j)*j*j**(3\/7))**(-23) assuming j is positive.\nAnswer: j**(-115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*c + 8 = 0, 0 = -4*z + 3*z + c + 5. Suppose -3*w + 102 = 3*n, w + z*n - 34 + 8 = 0. What is the least common multiple of w and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3650 + 860 = -93*g. Solve -95*i + 89*i = -g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27899 - 15*t + 27903 + 27893 + 27900 - 111595.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (207\/3)\/(-3). Calculate the remainder when 372\/q + 8\/20 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 9*x + 10*x = -0*b, -228*b + 233*b = x - 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/13 (b) -2.2 (c) 2 (d) -4\/9 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -42*s - 423. Give u(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 596444044 to the nearest integer?\nAnswer: 24422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 22. Suppose -j - 1380 = -h*j. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325810 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 10.35. Let o = v - 0.65. Let t(y) = -2*y + 10. Let a be t(5). What is the nearest to 0.1 in a, -3, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvyzq. Give prob of picking 1 q, 1 y, and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 26) + (-6 - (-12 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f + f)*(3*f**2 - 3*f**2 + 3*f**2)*(-3*f + 4*f - 4*f).\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7*y**3 + 660*y**2 - 187*y - 44. Determine s(94).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * -0.9.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12250 is divided by 3706.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5473873 or 5473875?\nAnswer: 5473873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21\/5 (b) 2\/3 (c) 0 (d) -1 (e) 2\/15 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -15*j**2 + 11*j - 6. Let h be 15\/10*4*-1. Let q(o) = -8*o**2 + 6*o - 3. Determine h*u(k) + 11*q(k).\nAnswer: 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o**2 - o + 3. Let n(v) = 5*v**2 + 2*v - 3. Let y(r) = -4*g(r) - 5*n(r). Is 3 a factor of y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-637*y + 1266*y - 629*y + 954*y**2 - 71*y**2)*(2*y**2 + 0 + 0).\nAnswer: 1766*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 153? (a) 22 (b) -1\/4 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33281 = -5*b + f - 5972, 0 = 2*b + 4*f - 10928. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -192886*g**2. Let h(x) = -18*x. Determine p(h(y)).\nAnswer: -62495064*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -126315 - -2102?\nAnswer: -124213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8776 - -1.86. Round f to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -65*o**2 + 4*o - 9. Let c(b) = -b - 1. Let s(a) = -3*c(a) - w(a). Is s(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**3 + 6*n**2 - n - 1. Give v(-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -217 + 221. Let t = o + 394. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Let s = -4 + 6. Calculate the remainder when l is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1713, 3290, 4849, 6390?\nAnswer: 7913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.21182 and -53317.\nAnswer: -53317.21182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/6541335 and -32\/7137.\nAnswer: 85037355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 193146219*s**4 - 489233534*s**2 wrt s.\nAnswer: 4635509256*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 90683814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 + 1. Suppose -4*g - 41 = 3*q, 3*q - 4 = g - 20. Let s be -3 + q\/(28\/(-8)). Put -1\/5, s, c in increasing order.\nAnswer: s, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -1. Let u be (-8)\/12 - m\/3. Suppose -3*g + 359 = -u*f - 104, -3*f = -3*g + 462. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = -b - 20, -k + b = -7. Suppose j = -k + 28. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -7*s**6\/6 + 13*s**3\/2 + 17*s. Find the second derivative of k(c) wrt c.\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 15*s**2 - 11*s - 7. Let q(u) = -8*u**2 + 6*u + 4. Determine -3*h(x) - 5*q(x).\nAnswer: -5*x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.12, -0.06, 4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13932 - -1169?\nAnswer: -12774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**4\/4 - m**3\/3 - 13*m + 1. Let n be (-25652)\/176 + 1\/(-4). Let j = n + 146. Calculate l(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-54))\/(-7)*4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -3 + 2 - (13 - 11 - 15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*s**3\/11 - 23028*s**2\/11 - 1651998*s\/11 + 101052 = 0. Calculate s.\nAnswer: -1203, -77, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**2 + 4*j*t + 385618*j + 31060234*t wrt j?\nAnswer: 4*j + 4*t + 385618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(99)*3*-5*3.\nAnswer: 540*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 + 275*t - 270 = 0. What is t?\nAnswer: 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 1, l: 16, j: 1, n: 1}. Give prob of sequence ijll.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 3. Let d be u(3). Let c(x) = x**3 - x**2 + 1. Let g(z) = -3*z**3 + 3*z**2 + 14. Let q(s) = -4*c(s) - g(s). What is q(d)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -12. Suppose 25 = -z*x, s - 16 = 2*s + 4*x. Suppose -155 = -s*h + 3*w, -3*h - w - 40 = -4*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -101*b**2 + 26*b**2 - 90*b**2. Let o(l) = 2*l. What is h(o(k))?\nAnswer: -660*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 3, s: 3, r: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9048 divided by 1508?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79815 and 499861.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -163*j + 654. Let d be x(4). Sort -169, -3, d, 5 in decreasing order.\nAnswer: 5, d, -3, -169","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29136777 rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 36*w**3 + w - 1 - 3*w - 47*w**3. Let v be q(-1). Suppose v*r - 2*r - 32 = 0. Solve r + 4 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25198, -100807, -226822, -403243, -630070, -907303?\n\"Answer: -25203*r**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 45358, 49656, 53954, 58252?\n\"Answer: 4298*l + 41060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.173901t?\nAnswer: 1173901000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 2163723611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106015, 211380, 316745?\nAnswer: 422110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -154 and 14.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2522*n + 2589. Give u(1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1423166 + 50?\nAnswer: -1423116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**15)**(-38) assuming c is positive.\nAnswer: c**(-570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, r: 6, s: 1, m: 2, g: 6}. Give prob of picking 1 j, 1 s, and 1 g.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0.8. Let l = -527700 - -2110799\/4. Which is the closest to 2? (a) l (b) -3 (c) 4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -1 + 1*-2. Let a(n) = -9*n - 4. Let x(m) = -14*m - 6. Let d(s) = 8*a(s) - 5*x(s). What is the units digit of d(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13\/168 + -5\/24. Let d = -3.4 - -5. Let y = d + -2. Which is the nearest to v? (a) 4 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 s, and 1 f when three letters picked without replacement from {u: 1, s: 1, k: 1, f: 1, p: 2, c: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*v**5 + 726*v**4 - 4593*v**3 + 1722*v**2 = 0. Calculate v.\nAnswer: 0, 2\/5, 7, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-5 - -2) + -3) - (4 - 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1374199, -2748398, -4122597, -5496796, -6870995, -8245194?\n\"Answer: -1374199*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75707, -302576, -680613, -1209818, -1890191?\n\"Answer: -75584*y**2 - 117*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 6*t**2 + 2*t - 7. Let d be a(6). Suppose -d*j = -j - 388. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -432 + -4?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -5, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1872*p + 278781. Give k(149).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from uro.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 630.8909ng?\nAnswer: 0.0006308909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -18*v**5\/5 + v**4\/4 - 5*v**3\/6 + 6*v. Let z be d(-5). Round z to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112472806 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - g - 1355, 2*g + 2*g + 796 = 3*z. Calculate the greatest common divisor of z and 476.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38960 and 128?\nAnswer: 311680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 r when three letters picked without replacement from {e: 6, y: 10, r: 2}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 59. Let g = n + 8.6. Round g to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luuu when four letters picked without replacement from {l: 1, u: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53248)\/4992*9\/2?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 56.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*i - 4953 = 0, -s - i = -2*i + 1233. Let q = 2105 + s. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**4\/4 + 5*h**3\/3 - h**2\/2 - 3*h + 27. Calculate l(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 77\/(-7) - 3\/(-1). Let n(k) = k**2 - 4*k - 6. Let w be n(d). Suppose -63 = -3*z + w. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 59 - -5?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1349 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2 - 2464010*j - 4928016 = 0. What is j?\nAnswer: -2464008, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1 + 174*z - 176*z + 11 + 0. Let d be r(4). Factor -8\/5*k**5 + 0*k**d + 0*k + 0 - 2\/5*k**3 - 2*k**4.\nAnswer: -2*k**3*(k + 1)*(4*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b + 7*b - 67*b + 16*b + 15*b + 16*b + 24.\nAnswer: 4*b + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 + 2. Let d be o(0). Suppose 0 = -5*g + d*t - t + 3921, -g = -5*t - 789. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 496 or -51472?\nAnswer: 496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -230605*c**6 - 214419*c**2.\nAnswer: -27672600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 30*b**3 + 8*b**2 + b + 4. Let h(n) = -23*n**3 - 7*n**2 - 4. Let w(x) = -4*h(x) - 3*o(x). Calculate w(3).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + c + c + 11.\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-23 - (31 + -49)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 16*s**3\/3 - 7*s**2\/2 - 2*s - 21. Is x(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2. Suppose 4*v = 5*v - 11. Suppose 5 + 2 = m + 5*r, 0 = 5*m + r - v. Let i(k) = 5 - 3 - 2 + 2*k**m. What is i(u(q))?\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 129 = -40*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 5*q + 82 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h + 0*h + 0 + h**2 - 6. Let m be a(-6). Suppose 0 = 4*n + 3*w + 8 - 32, -5*n - w + 41 = m. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*n - 299*n = 315*n + 561 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000117 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 (base 8) in base 15?\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(9)\/(sqrt(3)*3*6))**2 - ((sqrt(84) + sqrt(21))\/sqrt(7) + 1)).\nAnswer: 535\/108 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 + (0 - (-11 + 15))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 2457891.\nAnswer: 2457887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -529*l**6\/160 - 2507*l**5\/80 + 681*l**4\/32 - 45*l**3\/8 - 16*l**2 + 5*l - 1. Find t such that o(t) = 0.\nAnswer: -5, 3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 930*d - 790*d + 1120 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 1 + 5 = -n, -2*n + w = 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(-57190)*10*(-63)\/1.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 229\/6 + -857\/21. Let u be 10\/(5\/(-2) - -2). Calculate the common denominator of f and (u\/240)\/((-2)\/28).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6b94 - 356a?\nAnswer: -a542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 22. Suppose -p*f = f - 9. Suppose 5*u - 14 = -h + f, 5*u - 7 = 4*h. Solve 0*i - v + 9 = 2*i, 6 = h*i - 2*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/5 - 34\/(-5). Let m = -4 + a. Let k be (-1)\/3 - (-10)\/m. Solve -3*f = -0 + k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8d (base 15) in base 7?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73*a**2 + 111*a**2 - 54*a**2)*(165*a**2 + 114*a**2 + 35*a**2) to v + l*a**2 + m*a**3 + c*a + p*a**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13189295369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 0) + (19 - 1 - (559 - 572)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**5 - 4*q**4 - 74*q wrt q?\nAnswer: 80*q**3 - 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -57)*((-147)\/(-72) + -2). Let q = -11\/4 + p. Is -1\/7 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5372562.\nAnswer: 2, 3, 13, 68879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.32 - -895.32. Let v = -927.9 + w. Let c = v - -49.673. What is c rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:10 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -42?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 396 + -269. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0309781 and 0.5?\nAnswer: -0.01548905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 88 + -721?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3 = -k + 4*j, -4*k + 12 = -4*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -34 - 3) + 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 11 - 4. Suppose 0 = -5*a - 0*a - 15. Sort a, d, 2 in descending order.\nAnswer: d, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1392 and 1776.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 22*a**3 - 178*a**2 + 49*a. Let d(k) = 5*k**3 - 45*k**2 + 11*k. Give -18*d(j) + 4*m(j).\nAnswer: -2*j**3 + 98*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 3*o + 3. Let x be r(3). Let p = 12 + 0. Suppose -q - 3*q = -p. Solve -2*c = -x*v - 8, -3 = -v + 5*c + q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 107, 0.4, 70, 8\/5, 6 in descending order.\nAnswer: 107, 70, 6, 8\/5, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4072 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: Let z(t) = -26*t**2 + 9*t - 8. Let y(r) = r**2 + 2*r + 1. Calculate -4*y(j) + z(j).\nAnswer: -30*j**2 + j - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1138 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 244816 and 57815.\nAnswer: 302631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29293*m - 29271*m - 110. Suppose 34 = 2*w - 6*f + f, 3*f + 26 = 2*w. Solve -w*j + 2 = -m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3562559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -530160 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 85 - 30 = 5*t, 2*t = -2*o - 34. Let l be ((-10)\/6)\/(o\/42). What is the smallest common multiple of (-3)\/5 + 28\/l and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 2. What is the remainder when 43 is divided by t(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g**3 + 2*g**3 + 17*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(4\/(-34)) + -7)*-4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21376111?\nAnswer: 223, 95857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2794694528.\nAnswer: 2, 43, 507757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4222605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -8*v - 3*w + 1071510, 2*v - w = 428604. Let j = 1932169\/9 - v. Let q = j - 1136\/3. Calculate the common denominator of q and -73\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -25. Let c(v) = -v**3 + v**2. Let o be c(0). What is the lowest common multiple of u and o\/(-1) + 0 + 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {i: 3, b: 2, d: 4, k: 1, a: 1}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2373926 + 78345. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -13. What is the units digit of (-2)\/4*(-14 - q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1184573943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**4 + 2*m + 14*m**4 + m**3 + 5*m**2 - 391 + m**2 + 391 to b*m**4 + x*m**3 + c*m + h*m**2 + i and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/889 and 97\/6.\nAnswer: 5334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 u when four letters picked without replacement from {l: 7, u: 5}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 981 - 417. Solve -569*v + 10 = -p*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*1 + 3 - (3*sqrt(11) + -2) - (sqrt(77) - ((1*sqrt(77) - sqrt(77)) + sqrt(77))*-3)\/(sqrt(77)\/(sqrt(11)*1))) + -1)**2.\nAnswer: -48*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-2))\/p)\/(p**(2\/19)*p*p))**(-12) assuming p is positive.\nAnswer: p**(24\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 p, and 1 m when three letters picked without replacement from {p: 1, d: 2, m: 1, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*i - 10, -3*a - 3*i = i - 4. Solve 0 = -5*s + 21 + a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 9. Let q be p(-6). What is the units digit of (-2 + -4)\/(-3) - q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(18\/11))**41)**(-2))**20)**(12\/5) assuming q is positive.\nAnswer: q**(-70848\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - 0.1. Let g = 3.5 + w. Which is the nearest to -0.4? (a) 2\/3 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 569313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*p**2 + 4 - 18 + 12)*(-3*p**3 - p**3 + 5*p**3).\nAnswer: -17*p**5 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.22 and -0.04942.\nAnswer: 0.0108724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 6*i - 7. Let u be r(5). Let l(h) = -h**2 + 2*h + 4. Let j be l(4). Let m = u - j. Solve m*n + x + 8 = -2*x, -2*n = -4*x - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 285 + 3a?\nAnswer: 2c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 145000 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3954, 3959, 3968, 3981, 3998?\nAnswer: 4019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*q**2 + 45*q**2 - 109*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n**2 + 9*n - 2. Suppose 4*w - 4*p + 2*p + 10 = 0, 2*w - 7 = -3*p. Let o(z) = z**2 - 1. Let j = 3 - -2. Let x(k) = j*o(k) + w*h(k). Factor x(a).\nAnswer: -3*(a + 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/10*(1 - 1). Let u(j) = -5*j**2 + c*j**2 - 5*j + 0*j + j**3 + 7. What is the remainder when 45 is divided by u(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -974*n**2*o*v - 1875*n**2*t*v + n**2 + 259*n*o*t*v + n*o*t + 15*n*v - 998*n wrt t?\nAnswer: -1875*n**2*v + 259*n*o*v + n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 6. Suppose -6*r - 5 = 3*h - 2*r, 0 = -h + 4*r - 23. Let n = h - -13. What is w(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.26 in 0.7, 1\/7, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*x + 2001 = 396, 2*x = s + 532. Let i be 34*(-9 + 2)*1. Let q = s - i. What is q rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-228)\/9)\/(550\/(-1848) + (-2)\/(-7)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + 1 + 1 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644475?\nAnswer: 3, 5, 13, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-21) - 240\/(-7). Suppose -g = 4*y + 2. Let k = y + 25. Solve -5*z + k = 4*t - 1, z + 5 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1359380 and 741480.\nAnswer: 8156280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one halves of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t. Let w be l(-5). Let d(b) = b**2 + 16*b + 45. Let i be d(-4). Sort i, -1, w.\nAnswer: w, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3552 + -1696. Does 32 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/21)\/((-114)\/513).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*r + 110*r = 4614108. Suppose 6*x + 842946 = -r. Round x to the nearest 10000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -25, -23*n + 3*u - 11 = -19*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4103 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-96)*6*(-27)\/(-36). Factor -9\/8*o**4 - x*o**2 + 0 + 9\/8*o**3 + 3\/8*o**5 + 0*o.\nAnswer: 3*o**2*(o - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mapapxe. What is prob of sequence xpm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232 (base 7) to base 4.\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3658?\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2. Let k(f) = -89398*f**2 - 26*f - 1. Give k(o(a)).\nAnswer: -357592*a**4 + 52*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13128, 26591, 49022, 80415, 120764, 170063, 228306, 295487?\nAnswer: 371600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10}. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 8:51 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -562490*o. Let p(k) = 34*k**2. Calculate p(d(m)).\nAnswer: 10757430003400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z - 28 = -24*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13034134424 - 2?\nAnswer: 13034134422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 618658 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6244400 to the nearest one hundred thousand.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + (-2 - (-8 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2405 - 627. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -16\/1997 (b) 6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1232*s - 2446*s + 1209*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 390*w - 2975.\nAnswer: 5*(w - 85)*(w + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46018441?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/18)\/(14 + -8)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h = 12*h + 45 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 411932852 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1483.509685 - 0.1?\nAnswer: -1483.609685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13750*g = -13685*g + 1105 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = 0, 2*q - 43 = -5*m - 0*q. Let f = 51 - 39. Let s = f - m. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75614 is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0 + 0*z - 2*z**2 + 1\/15*z**5 - 1\/120*z**6 + 7\/24*z**4 - 2\/3*z**3. Suppose 11 = 3*r - a, 16 = 4*r + 2*a - 12. Calculate s(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000928886 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**2\/4 - 127297*z + 50919 = 0. Calculate z.\nAnswer: -101838, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 - 4)*1\/(-2). Let r(b) = -b**2 - 5*b. What is the units digit of r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 15 = 7*m. Suppose 13 = m*j - 12. Let f(n) = n - 5. What is the lowest common multiple of j and f(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 41487.617 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*b**5 + 84*b**4 + 68*b**3 - 68*b**2 - 84*b - 16 = 0. What is b?\nAnswer: -4, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 120 = 108. Let y = v + -29. 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: Let c = -276 - -523. Let s = -247.000379 + c. What is s rounded to five dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -25787438.\nAnswer: -1\/12893719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34\/93 - -1\/31. What is the nearest to z in 3, 4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 9*m**2 + 2*m + 15. Determine i(8).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**5\/20 - d**4 - 13*d**3\/6 + d**2 + 4*d. Let w be t(13). What is the first derivative of 4*y - w + 0 + 6 wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*m = -62, 2*m - 7 = -15. Let n be ((c\/(-45))\/((-14)\/5))\/(-3). What is the nearest to -46 in n, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 4*t**2 + t + 3. Let s(g) = 3*g**3 - 8*g**2 - g - 4. Let p(x) = 5*h(x) + 2*s(x). Give p(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*-6253\nAnswer: 68783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-3978)\/15)\/(-34)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1 - 1)\/1)\/((-124)\/(-310)). Suppose 4*u - 12 = -4. Let i be ((-6)\/(-4))\/(u\/(-4)). Put 0, t, i, 0.5 in ascending order.\nAnswer: t, i, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 46575.1534?\nAnswer: -46575.2534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -75 * -0.3\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdrr when four letters picked without replacement from {j: 1, c: 1, r: 4, h: 7, d: 4}?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32214)\/10856 + 3)\/(15\/100).\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/5 (c) 9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/3 - (-20 + 3 - 88)*4\/(-138)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/23)\/((-7)\/(-7)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 10 = 6570*f - 6572*f, 0 = 5*h - 3*f + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17*(-45)\/(-39780))\/((-2)\/(-8))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000010000011100010 (base 2) in base 15?\nAnswer: -a7c8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/2)\/(k*(k*k\/((((k\/k**5*k)\/k)\/k*k*k)\/k))\/k*k))**38\/(((k*k**1*k)\/k)**(36\/11)*k\/k**(-2)*k\/(k\/k**2)) assuming k is positive.\nAnswer: k**(-4098\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {z: 1, v: 1, d: 1, k: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5)\/(((l*l*((l**(-2\/17)*l*l*l)\/l*l*l)\/l)\/l)\/l)*l**(-1\/9)*l*l**(1\/5) assuming l is positive.\nAnswer: l**(-5197\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 1 + 7, 2*u + 5*n = 74. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2. Let s(y) = 6*y - 3. What is s(g(n))?\nAnswer: 24*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -4, 1, -20, 16 in descending order.\nAnswer: 16, 1, -4, -20, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-2.46.\nAnswer: -44.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.6, -2, 0.2, 5 in ascending order.\nAnswer: -5.6, -2, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -16*a - 158. Let z be l(-10). Let n be (76*2\/4)\/2. Suppose x - 5*r = -x + 25, -3*r - n = -2*x. Solve b = -x*f + 17, -3*b + z*f - 17 = -0*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.045562032 - 2855.\nAnswer: -2854.954437968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 g when three letters picked without replacement from {x: 2, g: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6654 divided by -3327?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1508 and -59\/91?\nAnswer: 10556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 361 and 763344.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10210*-0.829\nAnswer: -8464.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -0.1 (c) -1 (d) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 1. Let n(t) be the third derivative of -t**4\/8 - t**3\/3 + 3*t**2. Let b(k) = n(k) + 2*z(k). Let q(m) = -2*m. Give q(b(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1063 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 1. Let v be 2\/4*((-2 - 5) + 1). Let d be t(v). Suppose 0 = -d*p + 325 - 75. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4526 divide 117305942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2076 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6880 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from gowpwllopwow?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -30.915. Let v = -3.085 + p. Let u = -5 - 0. Which is the third biggest value? (a) u (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**5 - 3*v**5 + 2*v**5 + (-2*v**3 + 3*v**3 - 3*v**3)*(4*v + 2*v**2 - 4*v) - v**5 + 5*v**5 - 5*v**5 + (13*v**4 - 3*v**4 + 14*v**4)*(3*v - v + 0*v).\nAnswer: 44*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -836*q**4 + 31*q**3 - 8*q**2 - 342*q - 3671?\nAnswer: -10032*q**2 + 186*q - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 - d - 1. Let z(u) = 9*u**2 - 40*u - 1765. Let g(b) = 4*o(b) + z(b). Differentiate g(t) wrt t.\nAnswer: 50*t - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81939 + -1063489\/13. Let p(h) = 133*h**3 - h. Let l be p(-1). Let z = l + v. Which is the nearest to 0? (a) z (b) 20 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.2, -5, 2.2 in ascending order.\nAnswer: -5, -0.2, 0.4, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12545, 12543, 12541?\n\"Answer: -2*v + 12547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**4\/12 + 25*l**2. Let b(h) = 8*h - 3 - 1 + 4. Let x(i) = i. Let w(t) = b(t) - 2*x(t). Determine w(m(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -168794118?\nAnswer: -168794118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t**1\/t)\/t))\/t)**3 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3*m - 18 = 0, -8*o + 2*m + 389 = 327 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.12 and -0.192.\nAnswer: -0.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -4, 0.73 in descending order.\nAnswer: 0.73, -0.09, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 29 = -5. Put -3, -2\/3, q, 1\/4 in descending order.\nAnswer: 1\/4, -2\/3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7970.24655 to the nearest 10.\nAnswer: 7970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 1 - 1)*(-2*g**2 - g**2 + 0*g**2).\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/150 and 50\/30729.\nAnswer: 1536450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 51. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18164?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/4 - 57010422*q**3 + 1083396072206028*q**2.\nAnswer: 3*q**2*(q - 38006948)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 678\nAnswer: 5\/678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5096 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 60*c**4 + 30224*c**3 + 21396*c**2 - 370016*c + 96576 = 0.\nAnswer: -503, -4, 4\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 505303901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 8*o - 5. Let b be 72\/10 - 12\/10. Determine c(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 225*p + 23652. Give d(-105).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 28093637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/92958419 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 - 100*a - 686. What is the remainder when 472 is divided by q(-21)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (2 + -7) - -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19571.7341 + 19573. What is n rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -5*c + 4, 0 = 5*c - 4*i - 354738 + 354790 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**5 + 8982*o**4 + 589609*o**3 + 10282260*o**2 + 18831616*o + 9129984 = 0.\nAnswer: -8916, -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7212426 (b) 1\/9 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.776979 kilograms to tonnes.\nAnswer: 0.004776979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.65085 to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1492 = 17. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-1) - 112\/16. List the prime factors of 2\/(-9) + (-8239)\/(-396)*k.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*l + 5*l + 88, 0 = 4*l - 5*n + 162. Let m = l + 43. Solve -2*u - 2 = -m*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 6, 0, -8, -18, -30?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5 = -2*r - 1, r = -3. Suppose -p = -k - 6. Suppose -20 = -0*n - 4*n + 5*l, 3*l = 2*n - 8. Calculate the remainder when n is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -2*p**6\/15 - 17*p**5\/60 - 5*p**2\/2 - 8. Let m(z) be the second derivative of w(z). Find the third derivative of m(t) wrt t.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 3. Let r(a) be the third derivative of 1\/6*a**3 - 9*a**2 + 0 + 0*a. Give 6*r(d) + x(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11 and -0.06?\nAnswer: 11.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949445 is divided by 158235.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 153 - 1?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 49?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (-2*sqrt(931)*-4 - (sqrt(931) + (sqrt(931) - -3*sqrt(931)))*-5))*5.\nAnswer: -6930*sqrt(19) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2.7. Let s = -257 - -262. What is the second smallest value in 1\/3, -0.5, l, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 5*g - 5*g. What is the smallest common multiple of 6 and j(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(8 + 196\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -4\/7, 0.08, -11330, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 22*p**2 + 15*p**2 + 17*p**2 - 62*p**2. Let f(i) = -20*i**2. What is o(f(t))?\nAnswer: -3200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from wleeeweiqeiwwwwie?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -166*r - 3481. Give o(-6).\nAnswer: -2485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*c + 1)*(c - 2*c - c) - 2*c**2 + 1 - 1 + (-c - 3*c + c)*(-c + 4*c + 0*c) + 0*c**2 - 7*c**2 + 0*c**2.\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 19*q - 96 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1184.702 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a decade in years?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 1. Let z(u) = -2*u - 11. Let a(j) = -c(j) - z(j). Let t(d) = -d**3 - 4*d**2 + 14*d + 6. Let s be t(-6). Let p be -2 + s\/((-6)\/(-7)). Give a(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjvjegvjjrj. Give prob of picking 1 v, 2 j, and 1 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7*b)\/(b**20*b)*b**24\/((b\/(b\/b**(-15))*b*b)\/b) assuming b is positive.\nAnswer: b**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - sqrt(7)) + 3 - (sqrt(112)*-3 + sqrt(7)))**2.\nAnswer: 84*sqrt(7) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11433*b*i**2 + 112*b - 1720 wrt i?\nAnswer: -22866*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (44\/(22704\/215))\/(5\/99). What is the closest to 1 in u, 0.1, 2\/9, -1\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -56018647.\nAnswer: 11203729.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - t - 3*t - 36 = 0, 0 = -2*r + 3*t + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(68) - 2*(sqrt(68) + sqrt(68)*-2 + sqrt(68) + sqrt(68)) - sqrt(68))\/((sqrt(112)\/sqrt(4))\/sqrt(7)) + -2) + 0)**2.\nAnswer: 200*sqrt(17) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12336, 21807, 31278, 40749?\n\"Answer: 9471*g + 2865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/5 + 45466*s**3\/5 + 51674382*s**2 - 258417378*s\/5.\nAnswer: 2*s*(s - 1)*(s + 11367)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 31. Suppose 1 - 6 = k, -l - g = 2*k. Solve t + 4*r = 0, 0 - l = r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*z - 4*z**3 + 3*z**3 + 793*z - 390*z - 23*z**3.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -5, -53877 in increasing order.\nAnswer: -53877, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*4 + 2 - ((sqrt(315)*-1)\/sqrt(9) + sqrt(35))\/sqrt(7)) + 2 + sqrt(35)\/(sqrt(28)\/sqrt(4)) + 4*(sqrt(165)\/sqrt(3))\/sqrt(11).\nAnswer: 4 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8755625101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0997? (a) 2 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (192 + 250 + 46)*(-5*g + 5*g + 5*g) to the form l + t*g and give t.\nAnswer: 2440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 0*l**2 - 2*l**2 - 2*l)*(-4 + 1 - 5)*(-2*l + l + 0*l).\nAnswer: -16*l**3 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 244.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -247, -261, -277, -295, -315, -337, -361?\n\"Answer: -c**2 - 11*c - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918508.5ml to litres.\nAnswer: 918.5085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.016*1.6\nAnswer: 0.0256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 24*s**2 - 9*s + 8. Let g be p(4). Let x = g + -212. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 6, b: 2, h: 1, f: 4}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358004811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 7, o: 7}. What is prob of sequence no?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1354469, 1354494, 1354519, 1354544?\nAnswer: 1354569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 184*b**2 + 3*b + 25. Calculate the lowest common multiple of k(-3) and 152.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 10, s: 8}. Give prob of picking 1 s, 1 k, and 1 r.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + j = -0*j - 1173, -g = 4*j - 609. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22339548 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 4.5 (b) 11 (c) -1 (d) -0.2 (e) -180\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + 10.7. Which is smaller: -0.2 or w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 r when four letters picked without replacement from rfvvxrvffxvrxrvxuxxr.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 296 (base 10) to base 6\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1080060, -1080220, -1080486, -1080858, -1081336, -1081920, -1082610?\n\"Answer: -53*n**2 - n - 1080006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 - -53. Let k = 3 - 1. Solve -k*l + 0*l = m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2*d - 0 + 26, -5*d = -2*w - 65 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19745154 - -69845154. Round v to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/132 - 29\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 6 + 1. Suppose 3*k - w = 23. Let p be 39 - (0 - (-1 + 2)). What is the highest common divisor of p and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262440 and 68760?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(320) - (sqrt(405)*-2 + sqrt(405))**2.\nAnswer: -404 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -2 - (7 - 3 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q - 3. Let d be t(-8). Let n = -19 - d. What is the greatest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -479493, -479389, -479285, -479181, -479077, -478973?\n\"Answer: 104*k - 479597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/2))**(-2\/11))**20)**(-2\/25) assuming p is positive.\nAnswer: p**(8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -1 + (0 - 0). Let g be (-1)\/r + (-6)\/(-4). Suppose -9 = -2*d - d + 3*q, d + g*q = 0. Solve 2*w + d*t = -8, 5*w + 11 = -t - 9 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 2 - 78\/(-6). Suppose -7 = -r - 2*j + v, -j - 40 = -2*r. Let u be 5\/(-2)*(1 + -3). Solve -q - r = -u*f, 3*q + 1 + 11 = -f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/6)\/(2\/(-6)). Suppose 17*o - w*o = 84. Solve r + 3*r - o = 0, -5*j - 4*r = -22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Suppose -m*b - f = -2*b - 2, 5*b - 1 = 4*f. What is the units digit of 3*b\/((-3)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxbebxexpx. Give prob of sequence bbee.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -457*3415 + (-12)\/(-4). Let n = -999348 + h. What is n rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11003312 (base 4) in base 11?\nAnswer: -14632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110 - 5 - 3*b + 5*b - 106)*(-1 + 1 + 2*b).\nAnswer: 4*b**2 - 442*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 874782 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 5. Let k be m(6). Let l(c) = 5*c + 1. Let d(s) = s + 1. Let q(y) = k*d(y) - l(y). Let b(v) be the first derivative of -v**2 - 7. Give q(b(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.5 * 0.2132935.\nAnswer: -0.95982075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 399353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/((-2)\/(-18)). Suppose 0 = -4*y + f*y - 82. Let w(i) = -16*i + 69. Let n be w(4). Solve -n*h = 4*g + y, 3*g - 2*h + 3 = 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -190 - -192. What is the third derivative of -50*w**4 - 25*w**2 - 62*w**2 - 16*w**o wrt w?\nAnswer: -1200*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**2\/h)\/h)\/((h\/(h\/(h*h*(h*h\/(h**4*h)*h)\/h*h))*h)\/h))\/(h**(-1)\/(h*h\/(h\/(h\/(h\/h**(2\/7)))))))**(-1\/11) assuming h is positive.\nAnswer: h**(-23\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1549 - -2810. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/((-589)\/9424)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbd when three letters picked without replacement from {n: 2, d: 3, b: 3, l: 2, v: 4, w: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3566774 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(1\/16)\/a*a)*a**(-14)*a*a)\/(a**(-5))**(1\/52))**(18\/11))**33 assuming a is positive.\nAnswer: a**(-61587\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/1)\/3)\/((-623)\/(-178)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-7 + 8 + 0) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 7, 38 in ascending order.\nAnswer: -5, 3, 7, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/sqrt(63) + 1)**2*-4.\nAnswer: -64\/9 - 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 383251582 and 383251581 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 941*q - 10501. Calculate m(11).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**4\/12 + a**3 + 7*a**2 + 31*a. Let t be f(8). What is the hundreds digit of 3078\/30 - t\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = -3*b + 4*z, 0 = -4*b - 2*z + 6. Let u(a) = a**3 - 22*a**2 + 4*a - 87. Let f be u(22). Solve j + f = -b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6530 divided by 546?\nAnswer: -3265\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(26 - 46 + 16 + 33)*(65*m**2 + 2*m**3 - 65*m**2).\nAnswer: -116*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 7) to base 15.\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 144029 and -3?\nAnswer: 144032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -283*j + j**2 + 53 - 52 + 286*j. Suppose 0 = 2*x - 7*x - 25, 3*m + 47 = -4*x. List the prime factors of p(m).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (338*q - 338*q + 31*q**2)*(4 + 3 - 5)*(0*q + 5*q - 2*q).\nAnswer: 186*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 6:09 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1995328671*i**3 - 3990657348*i**3 + 1995328669*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13\/11, 4, -7094, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = 0, -5*r + 6*r - 324 = -4*j. What is the highest common factor of j and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/15)*t\/(t*t**(-5\/3)*t*t)*t**(4\/5)*t**(1\/3) assuming t is positive.\nAnswer: t**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41473, -92869, -144265, -195661, -247057, -298453?\nAnswer: -349849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 5*c = 51, 2*w - w = -4*w + 7*w - w + 41*c + 17 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114431 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3562012 is divided by 417?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/4848 and (-606)\/(-1616)*(-37)\/(-2727).\nAnswer: 14544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(-2)\/8*4\/(-4). Let d be s*4 - (9\/3 - 7). Factor d + 2\/9*n**3 + 2\/9*n - 4\/9*n**2.\nAnswer: 2*n*(n - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {c: 8, s: 3, n: 4, l: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*m + 139*a**4 + 2*a**3*m + 113*a**3 + 14*a**2*m + 21*a**2 - 2*a*m - 5*a + 1 wrt a.\nAnswer: 24*a*m + 3336*a + 12*m + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -1\/2*c**2 + 0*c + 13. Let q(u) = 8*u. Calculate q(z(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -11. Suppose -17*o + 4*o + 6474 = g. List the prime factors of o.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1510023 (base 7) to base 16.\nAnswer: -31d46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + 2*sqrt(2736)*-3 + sqrt(2736) + 4 - (4 + sqrt(2736) + -1 + sqrt(2736)*1*6)) + 5)**2.\nAnswer: -1584*sqrt(19) + 331092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 990.8613cm?\nAnswer: 9.908613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10702, -4, 308, -2 in increasing order.\nAnswer: -4, -2, 308, 10702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 1. Let p(x) = -186*x**2 + 217. Let h(d) = -p(d) + 2*y(d). Let j(v) be the first derivative of h(v). Let b(k) = -k**2. What is j(b(i))?\nAnswer: -376*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 6252260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41283?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759497 divided by -179.\nAnswer: -4243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2863613364 to the nearest integer?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -348\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w + 2949 = 82*w - 1587 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2512*a**2. Let f(s) = -4*s**2 - 216. Let x(n) = -2*n**2 - 81. Let j(b) = -3*f(b) + 8*x(b). Determine k(j(o)).\nAnswer: 40192*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 1. Let q(t) = -2*t**3 + t - 1. Let v(g) = -g**3 - 24*g**2 + 31*g + 153. Let d be v(-25). What is d*n(j) + 3*q(j)?\nAnswer: -3*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45, -175, -385, -675, -1045, -1495?\n\"Answer: -40*k**2 - 10*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/690 and 103\/300?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w + 112. Let j(d) = -2*d**2 - d + 3. Determine c(i) - 4*j(i).\nAnswer: 8*i**2 + 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 2)*(0*y - y + 0*y)*(-3*y**2 + 3*y**2 + 4*y**2) + 3*y**3 + 0*y**3 - 4*y**3 as k + b*y + c*y**3 + l*y**2 and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044 is divided by 775.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1673, 6471, 14395, 25445?\n\"Answer: 1563*m**2 + 109*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.250055 - -194457.849945. Let f = 194576.0863 - c. Let y = -116 + f. Round y to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3901 and 1328.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -2413?\nAnswer: -2415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 16, w: 2}. What is prob of sequence wwm?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8795 and 5?\nAnswer: 43975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 394 - 369. What is the remainder when 99 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 24 = 5*n, -5*n = i + 42 - 38. Let x(h) = h**2 + 7*h. Let l(o) = o**2 + 8*o + 1. Let z(d) = 4*l(d) - 5*x(d). Determine z(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -16. Suppose 3*c - 10 = -b*c. Suppose 0 = s + 2*s + 5*y - 2999980, -s + 999992 = c*y. What is s rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/8*-28 - 8. Suppose -3*s + 3 = f - 2*s, -4*f + m = -2*s. Factor -3\/2*v**3 + 9\/2*v - 3*v**f + 0.\nAnswer: -3*v*(v - 1)*(v + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g*z**2 - 3*g*z + 6172*g + 100818*z**2 + 4*z + 1126 wrt z?\nAnswer: 4*g*z - 3*g + 201636*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b53a (base 12) to base 13.\nAnswer: -9001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1029758 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466 divided by -6?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*v + 58*v + 112 = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*w**5 + 20*w**5 + 24*w + 24*w**5 wrt w?\nAnswer: -400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664454951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -680 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/24*32\/4. What is the third smallest value in 0.5, -1\/8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*d**3 + 201*d**2 + 91162 wrt d.\nAnswer: 39*d**2 + 402*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 873811588 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103\/42 - -16\/7. Which is the third biggest value? (a) -3 (b) h (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 + -230. Let f = a - -150. Calculate the smallest common multiple of f and 20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2522 take away 2135676844?\nAnswer: -2135676843.7478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207 - 25. Let s = 251 + g. Solve -3*z = 4*y + s, 0*y - z = -2*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 + 12. Suppose -24*r - x = -655. Calculate the remainder when (-93)\/(1\/(-2) - 1) is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 156 = -5*v. What is the remainder when 22 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 4. Let d be t(-6). Suppose -2*p + k = -4, 7*p - 3*p = 5*k - 4. Find the third derivative of 3*y**2 + y**2 + 2*y**p - 2*y**d - y**2 wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -201 - 4?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4632.38*-3.\nAnswer: -13897.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - 367*z**2 - 171*z - 2397. What is q(184)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 28, 4.\nAnswer: -3, -1, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-n + 0*n + 3*n)*(-1 + 4 - 1) + 3*n + 4 - 4 - 3*n + 3*n - 5*n)*(0 - 5 - 1) to the form y + m*n and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 8*y + 0*y**3 - 8*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1001101100110?\nAnswer: 1001101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.663? (a) -0.5 (b) 2\/11 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 3*b - 6. Suppose -33 = -0*z - 5*z - t, -4*z = 4*t - 20. Let q(c) = -3*c**2 - 5*c + 11. Give z*j(s) + 4*q(s).\nAnswer: 2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*b + 13, -263*u + 266*u + 20 = 4*b. Sort -10, -5, 3, b, 56 in decreasing order.\nAnswer: 56, 3, b, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*f + 2 + 14 = 0, -8 = -2*p + 2*f. Suppose -j + 12 = p. What is the least common multiple of 7 + (-2 - j) + 2 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + h + 47 = -2*h, -2*h = s + 2. Suppose 2*v = s - 0. Suppose 0 = 2*u + v - 28. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42650266\/1329 + -32092. Is -1 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -496, -10 in decreasing order.\nAnswer: 4, 1, -10, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5902956 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14122 + 3422 = 204*y. Solve 2 = -12*u + y for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*o + 10. Suppose o*z - 25 = 3*f + 5, 4*z - f = 46. What is the first derivative of -3 + 5 - z*h + 16*h + 4 wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h + 3, n - 473 = 2*h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -148*u - 932. Let n be g(-11). 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: Simplify (z**(-2\/5)*z)**19*(z**0)**(-2\/27)*(z**(-3)\/z*z*z*z\/(z**0\/z)*z)\/((z\/z**(-2\/3))\/(z*z**(2\/3))) assuming z is positive.\nAnswer: z**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j - 15. Let x be d(6). Suppose 0 = -4*n - x*p + 190, 3*n - n + 4*p - 100 = 0. What are the prime factors of n?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, 1 d, and 1 g when four letters picked without replacement from wxpgxxudxgggggguxxp?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-9) - 1780\/(-90). What is the greatest common factor of 15 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 + 153. Solve 4 = 2*z + x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -m - 7, 5*m - 4*c - 16 = 10*m. Let i(h) = -h**3. Let t(n) = 3*n**3 - 5*n**2 - 4*n. Let a(p) = 4*i(p) + t(p). Give a(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 597 + -595. Suppose 0 = -i + 4*t - 5*t - 1, a*i = 4*t + 28. Factor 2\/5 - 2\/5*h**2 + 0*h**i + 3\/5*h - 4\/5*h**3 + 1\/5*h**5.\nAnswer: (h - 2)*(h - 1)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53255.03 millilitres in litres?\nAnswer: 53.25503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 190*i**2 - 42*i - 40. Is y(12) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-11 - (0 + -12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616871?\nAnswer: 616871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -11*z**3 + 3*z**2 - 2*z - 9. Is b(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/6*(-4 + 1). Suppose 3*p - 14 = b, 26 = 9*p - n*p - 4*b. Solve 3*c + 9 = -2*d, -p*c + 9 = -4*d - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - -39. Let s(t) = -3*t**3 - t**2 + 19*t + 19. Let a be s(-1). Suppose -4*z - 4*i + 264 = -a*z, -z = -3*i - j. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2268) + 0).\nAnswer: 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2\/3 + 120401*o\/3 + 240806\/3 = 0?\nAnswer: -2, 120403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -708\/5 + 142. Which is the fourth smallest value? (a) -2 (b) -4 (c) 2 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - -10) + 21 - (-21 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 12. Let z be u(8). Suppose -z*s + 42200 = -2*s. What is s rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9215)\/570)\/(5\/(-30)).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from clnccncclnn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g - 2. Let c be 3\/g*(-52)\/6. Let u(j) = 2*j**2 - 4*j + 4. Let d be u(6). Calculate the greatest common divisor of c and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -278.000564 - -278. What is r rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 + 43*p - 10. Let c(l) = -10*l**2 - 108*l + 24. Let j(k) = 5*c(k) + 12*w(k). Solve j(g) = 0 for g.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641 - 749 - 4*a - 2981.\nAnswer: -4*a - 3089","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.5 + 2.6. Let k = 0.04 + -7.04. Let b = k - g. Put -4, b, 1\/5 in descending order.\nAnswer: 1\/5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21193 = 3*w + 18*i - 14*i, 0 = -3*w - 5*i + 21194. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*m - 5*m - 284 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2460290.1 rounded to the nearest one hundred?\nAnswer: 2460300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165955 is divided by 417.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2051 + 4561\/2. Factor -759\/2*o**2 - 204*o - 24 + r*o**3 - 243\/8*o**4.\nAnswer: -3*(o - 4)**2*(9*o + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -422454*d**3 - d**2 + 18*d*u - 37427235*u wrt d.\nAnswer: -1267362*d**2 - 2*d + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00061773392 to 7 decimal places.\nAnswer: -0.0006177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3. Let s be (-1 + 2)\/(m\/(-5)). Let o(l) = l + 10. Let k be o(s). Calculate the highest common factor of 15 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 741775117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1. Let n(k) = 6*k + 35. Let f(h) = -3*h - 18. Let q be 19\/4 - 9\/(-36). Let j(m) = q*f(m) + 3*n(m). What is -15*d(b) - j(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 5:44 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 82634, 82635, 82636, 82637?\n\"Answer: t + 82633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x = 11*x. Solve x = 15*u + 21 - 36 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13922 and 259025771.\nAnswer: 6961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 13*c**3\/6 - 9*c**2 - 25*c. What is the first derivative of k(m) wrt m?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 34*j**3\/3 + 7*j**2 - 1. Let t(z) = 3*z + 29*z**2 + 66*z**2 - 88*z**2. Give -3*o(f) + 14*t(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*b + 3. Let q(x) be the third derivative of x**5\/120 + 5*x**3\/2 - 20*x**2. Let i(s) be the first derivative of q(s). Give i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*g = -3*q + 93441, 311421 = 10*g + 3*q. Calculate the greatest common factor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 19, 3, -2 in increasing order.\nAnswer: -2, -1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893519751 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57018394.\nAnswer: 2, 28509197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64156 divided by 4.\nAnswer: 16039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/5 + 3652*b\/5.\nAnswer: 4*b*(b + 913)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -15*i. Let o(d) = -42*d**2 + 35*d - 35. Let f(b) = -b**2 + b - 1. Suppose 11*y = 21*y - 10. Let c(q) = y*o(q) - 35*f(q). Determine c(r(k)).\nAnswer: -1575*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 - 4*b**4 - 7162*b + 7166*b + (-59*b**2 + 59*b**2 - 6*b**3)*(-2*b - 2*b + 5*b).\nAnswer: -7*b**4 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -15 + -11 + -2 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -4. Let p = d + 10. Let i(a) = a**2 - 4*a + 4. Let g be i(3). Do p and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**2 + 1221867 - 1221867.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/47200 and 27\/32.\nAnswer: 47200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**4\/24 - 21*b**2. Let z(a) = a + 1. Let w(c) = -57*c**2 - 342*c - 342. Let v(g) = -w(g) - 342*z(g). Determine u(v(y)).\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54070, -54078, -54096, -54130, -54186, -54270, -54388, -54546?\nAnswer: -54750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 25 = 4*f + 3*k, 3*f + k = 1. Suppose 2*a + v - 1838 = -a, 0 = f*v - 10. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35, -383, -1331, -3179, -6227, -10775, -17123?\n\"Answer: -50*s**3 + 2*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 4 = 3*q + u, 0 = -q + 3*u + 19. Let s = -496 - -498. Let a be 1\/s*(2 + -2). Solve a*k = -q*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (7 - (3 + -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 138.58721, -0.4, -2, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -59*z - 3. Let t(y) be the first derivative of -y**2 + 28. Calculate u(t(n)).\nAnswer: 118*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*a - 344, 5*a - 174 = -4*b + 510. Suppose t + 134 = b. What is the greatest common divisor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 13*w**2 - 19*w + 126. What is h(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1310?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 17 = -3*y + 5*b, -10 = -2*y + 5*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 10 = a. Suppose -3*v + 2*v = -3, -5*j + 3*v = -116. What is the remainder when j is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06 and 50.511.\nAnswer: 50.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3068 * 0.4\nAnswer: -1227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4 + 10*o**3 - 198*o**2 + 702*o - 756 = 0.\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 14*b**2 + b + 2. Let n be g(2). Suppose 3*l - n = -0*l. Let m = l + -7. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u**2 + 2*u - 2*u)*((-1 + 2 + 0)*(-4 + 1 + 5) + 361 - 377 - 744).\nAnswer: -6064*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 29 - 7 = 0. Suppose -12 = 3*l - 48. What is the second derivative of 4*u + l*u**c + 10*u + 3*u wrt u?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -5) + (-4)\/(16\/44). Let f(g) = g**3 - 4*g**2 + 4*g + 1. Let y be f(3). Let u be y*(-7)\/(28\/k). Solve -2*v + u + 0 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1022663793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20211 + 2?\nAnswer: -20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -11\/5*q**3 + 31\/5*q**2 - 16\/5*q - 4\/5 = 0.\nAnswer: -2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q + 3. Let d(z) = -z + 1. Let j(f) = 9*d(f) - 2*o(f). What is the first derivative of j(v) wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121202101022 + -1?\nAnswer: -121202101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zssssbnkznknnzssn. What is prob of sequence bk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c + 8. Suppose 4*f = -5*k + 16 - 43, -4*f - 12 = 0. Let a = c - k. Solve 4*h = 5*h + a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + m - 2*m)*(-4*m**2 + 4*m**2 + 2*m**3) + 0*m**4 + m**4 - 5*m**4.\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/10 of a century?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**4\/6 - 46*i**3 - 4761*i**2 + 61*i + 318. Let z(j) be the first derivative of y(j). Factor z(u).\nAnswer: -2*(u + 69)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**5\/240 - 5*t**2. Find u, given that q(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 667 and 10.\nAnswer: 6670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjzjjzq. What is prob of picking 2 z and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12214 is divided by 524.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25606897 a multiple of 397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-28) - 33\/(-7). Let z(m) = 2*m - 5. Let r be z(o). Suppose -r*n + 0*n + 1005 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -85. Let x be (2\/(-3))\/(33\/(-27)). Let f = 9\/2 - 17\/4. Which is the closest to f? (a) -4 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-288)\/30)*1*6\/105.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11031\/5696 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4046 - -4296. Calculate the remainder when k is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 - 0.95. Let t = a - 3. Let c = 0.59 - 1.09. Sort t, -2, c in increasing order.\nAnswer: t, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**2 - t - 3. Let w(q) = -20*q**2 + 3*q + 8. Calculate 8*v(a) + 3*w(a).\nAnswer: -4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -2, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000232685135 rounded to 6 decimal places?\nAnswer: -0.000233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 3828876.\nAnswer: 2\/319073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 20, -15309*o + 15312*o - 15 = -10*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*a + 6, 0 = -4*a - 15*x + 13*x + 10. Suppose a*l = 3*l - 528000. What is l rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 340 + 483. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6 - (-196)\/(-21). Let g be n\/6*(-4 - -2). Solve 4*k = g*f - 8*f + 13, 4*f - 26 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - x**3 - x**3)*(-11*x**2 - 20*x**2 + 38*x**2).\nAnswer: 7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 668\/351 - 5\/27. Calculate the common denominator of -49\/24 and g.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000248914 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5196 and 1299.\nAnswer: 5196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.2 + 30.14. Let m = p - -0.06. Let q be -3*16\/(-36)*1. Which is the closest to -2\/9? (a) 0 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/1)\/(-2) - 15. Is 4 a factor of (3 + 54\/(-14))*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 - 209461897*p + 209461906*p.\nAnswer: 9*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4590 and 29430.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3931894 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/402800 and 47\/3725900.\nAnswer: 14903600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1356 and 7326?\nAnswer: 1655676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167*g**4 + 79*g + 3.\nAnswer: 2004*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (24 - -7 - 55 - (-2 + 20))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 19*i - 7. Let n be z(-5). Let m = n + 67. Let h = m - -69. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 0 + 2\/3*r**3 + 2*r + 7\/2*r**2. Is l(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7435.15m in kilometers?\nAnswer: 7.43515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -34, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 8 = 1. Let n(s) = 91*s**2. Is n(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -105780673*p**6 + 3*p**2 - 3*p + 1143609 wrt p.\nAnswer: -12693680760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-20) - 77\/(-35). Suppose x*f - z = -2*z + 185, 5*f - z = 445. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1256289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*103\/(1236\/24).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -3 + (0 + 3 - -84). Suppose c - 36 = -5*t, t = 2*c + 4*t - d. Calculate the highest common divisor of 92 and c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/87 in -0.18, -5, -0.3?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.76620044 and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 5*j**2 - 6*j + 2. Let x be 6\/1*(-4)\/4. Let s be d(x). Suppose -s*y = 7*q - 2*q - 10, 25 = 5*y. Which is smaller: q or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44034 is divided by 1080?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*s + 2*s + 2*g, 0 = -s - 2*g - 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -16520969 != -16520970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 10*d + 30 = 0. Suppose -d = -o - 8. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 30, -3 in decreasing order.\nAnswer: 30, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.111 + 0.511. Let d = 4.028 - 0.028. What is the third biggest value in d, 0.07, f, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2792 is divided by 395.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/345)\/((-814)\/(-407))?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-1 + 1) - -2. Let y be -3 + r\/(4\/6). Let o = -98 - -96. Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 11*c**2 + 12*c + 1. Let h be u(-11). What is the remainder when 63 is divided by h\/54 - 10\/45?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Let r = -9466.7 + 9466. Which is the third biggest value? (a) -0.4 (b) 3 (c) k (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2201202100 (base 3) to base 13.\nAnswer: 1b61b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 7*y**2 - 4*y + 8. Let j be w(6). Suppose 8*a - 4*a - j = 0. Solve -2*n = q - 3, 2*n + 2*q = a*q + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3626, 6\/11, 0.7, -3.14 in decreasing order.\nAnswer: 3626, 0.7, 6\/11, -3.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -3. What is the least common multiple of v and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 802230 divided by -26741.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 2 + 6 - 1 + 4 as b*v + d*v**3 + f*v**2 + s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 502, 1010, 1518?\nAnswer: 2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -834993027 + 417496501 + 417496526 - 6*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 42. Let t be a(46). Solve 3*w = 3*f + 8 + 16, 0 = -t*w - 4*f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 6*o - 74. Calculate b(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffwfffffrfffffff. What is prob of sequence rf?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.6161191 - -103.\nAnswer: 85.3838809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 3. Let f be q(-6). Let p = 12 + f. Suppose -78 = -4*m + 5*s, 2*m - 37 = -4*s + p. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198\/198*92\/4\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000793785 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/180 and 22\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Sort 4, s, 3 in decreasing order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - 2*t**3 + 2 - 1 + t**3 - 3*t. What is the units digit of r(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -64, -65, -66, -67?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + c - 16976 = 0, -m + 4*c + 9264 = -7702. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 10*b**2 + 12*b - 37. Let o be m(-11). Is 2\/2*-4*45708\/o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*c**3 + 74*c**3 + 2*c - 2*c.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120923 + 185784 + 49087 = -9363*j for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 17*a**2 - 50*a - 29. Determine c(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 5*p + 2*w, 0 = 3*p - 8*p - 4*w + 480. Let q = 5143 - 4962. Let k = q - p. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 9 + 3. What is the least common multiple of 10 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b - 26. Let u = -22 + 12. What are the prime factors of h(u)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = w - 5*w + 40, 5*w = 25. Suppose -2*s + m - 2 = -t, 4*t - 2*s = -14. What is the units digit of t\/(-4) + (-18)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 10:39 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 16*i + 2698. Let d(b) = -7*b + 1. Give -2*d(f) - g(f).\nAnswer: -2*f - 2700","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5880*d = -4849*d + 16181*d + 1744*d + 890932 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from rmykkqkkkyyrrryqkqqy?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 52*a + 29. What is m(21)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 42, 40, 38, 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 7*y**2 + 5*y - 2. Calculate d(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*a - 13. Let q be (-2)\/5 + a\/(-15). What is the third derivative of 2*o**2 - 3*o**2 + q*o**2 + 4*o**5 - 5*o**5 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0 - 71\/42*r**7 + 0*r**5 + 0*r**6 - 17\/3*r**4 + 0*r**2 + 62*r + 0*r**3. Find the third derivative of x(n) wrt n.\nAnswer: -4260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/15 and -7\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/7))**43\/(k\/k**(-3))**46 assuming k is positive.\nAnswer: k**(-1073\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoyp when four letters picked without replacement from {o: 6, p: 1, y: 2, a: 4}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2 + 2*f - 2. Let w(d) be the second derivative of d**4\/12 - d**3\/6 + d**2\/2 - 135*d. Calculate w(v) + y(v).\nAnswer: -3*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 5*l. Suppose 3*x - 8*x = -110. Suppose -z - 5*d + x = 2*z, -2*z = 4*d - 16. Solve l = v + 2*a - 15, 8 = 5*v - z*a + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g. Let h(a) = 3*a**2 + 5*a - 25. Give -h(q) + 5*u(q).\nAnswer: 2*q**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m. Find the first derivative of -12 - 4*l**2 + 5 + m wrt l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -450979712*d**2 - 287823281.\nAnswer: -901959424*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 30*o**2 + 31*o - 40. Let d be u(14). Let p(b) = -46*b**3 + 124*b**3 + 0 + 1 - 3*b**2. Is p(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -11*a**8\/16 - 171*a**4\/8 + a**2 + 47*a. Find the second derivative of p(u) wrt u.\nAnswer: -4620*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r + 442*r - 72*r - 2591 + 1382 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -100*v. Let f(u) = -3*u**2 + 37*u - 5. Calculate w(f(b)).\nAnswer: 300*b**2 - 3700*b + 500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/775*4)\/((-125)\/(-625))?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(143)*-6 - (sqrt(143)*-1 + sqrt(143))*5))\/(-5*3*sqrt(891)*-6) + -2.\nAnswer: -2 + sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -815 - -1280. Calculate the smallest common multiple of 10 and d.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90525.45kg to milligrams.\nAnswer: 90525450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6683448)\/(-680) + 2\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2443 and 3116974840?\nAnswer: 2443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 3. Let l(o) = -8*o + 3. Let x be l(3). Let v = -21 - x. Suppose p + p = c + 8, v = 5*c. Determine t(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**3 + n**2 + n - 1. Let x be j(1). Let w be (x\/(-9))\/(2\/(-54)). Suppose 0 = f - 8 - w. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 1\/4*l**4 + 0 + 2*l + 0*l**2 - 1\/3*l**3. Let w(g) = -4*g**2 + 3*g. Let k(s) = -3*t(s) - 2*w(s). Factor k(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 8) in base 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 8:16 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*g**3*s**3 - 786*g**3*s + g**3 - s**3 - 157*s**2 wrt s?\nAnswer: -66*g**3*s - 6*s - 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*(sqrt(144) + -3*sqrt(144)*-2)\/(sqrt(72)*-2)*-6)**2 + -4.\nAnswer: 31748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 10.7, 2\/12563, -3\/2.\nAnswer: -11, -3\/2, 2\/12563, 10.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (40 + -28 + 27) - (90 - 0)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143645440 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/104 + -431\/520. Put -7, 2\/3, w in ascending order.\nAnswer: -7, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-120))\/(6\/26685) - (-10)\/8. Is 448 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 1. Let i be (6\/(0 + -2))\/(-1). Calculate the remainder when h(i) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 12:25 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43458*f**2 + 43458*f**2 - 3*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/2 - 2*(-6)\/24. Put 2, k, -1 in increasing order.\nAnswer: -1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -561 - -573. Calculate the remainder when (-3)\/(60\/(-8)) - 628\/(-5) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tnnwnnntctntn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2066731\/(-87946))\/((-2)\/8*-2*1).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112606 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 14 - 94. What is the smallest common multiple of r and -7*(-1)\/(7\/6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttccgttttrttr. What is prob of picking 2 c and 2 t?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 + 8 = 0. Let m = 8 + b. Solve m*r - 11*r = 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -36*z + 21. Calculate j(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22793 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 142 - 147 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2799377 and 2611.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8497 divided by -103?\nAnswer: -8497\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1.029095.\nAnswer: -1.029095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/3 + 2304\/(-352).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nntntnntntnt. Give prob of picking 4 t.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 4 = 20*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000594243 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*d**2*h**2 - 304*c*d**2*h + 28*c*d*h**2 + c*d + c*h**2 wrt d?\nAnswer: 2*c*h**2 - 608*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1219, -2400, -3583, -4768?\n\"Answer: -f**2 - 1178*f - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + 6. What is the highest common factor of c and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (120\/(-27))\/(2\/3). Let l be 10\/(-6)*((-5208)\/1720 - 1). Let y = l + u. Which is the smallest value? (a) y (b) -1\/8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*4*(sqrt(240) - (sqrt(240) + (sqrt(240)*-2 - sqrt(240))) - sqrt(240)))\/(4*(sqrt(180)\/(sqrt(40)\/sqrt(4)))\/sqrt(6)))**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 c when three letters picked without replacement from {c: 11, z: 8, y: 1}?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -4 + 184958\/(-22768). Let m be (1 + 3\/2)*132\/(-234795). Let j = g + m. Calculate the common denominator of -57\/10 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -70981 and 2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -8. Suppose -15 = -v - y*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 3*t - 3, -4*j - 4 = -0*j - 4*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136292 - 191347 - 54178 - 101764 = -6811*y for y.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 97, -33, -3, -5 in descending order.\nAnswer: 97, -3, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*z**4 - 12*z**4 + 22*z**4 + (-4*z**2 + 2*z**2 - 3*z**2)*(2 - 2 - z**2) + (-1 + 1 - 2*z)*(-1 - 2*z**3 + 1).\nAnswer: 78*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 10*r**2 - 17*r + 6. Let n be y(8). Let f(w) = -6*w - 7. What are the prime factors of f(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*k = 4, -4*h + 9 - 1 = 2*k. Solve 0*l + h*l = 5*w + 4, -w - 12 = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 10*a - 5. Suppose -2*z = -3*z - 4*c + 78, 5*c - 75 = -z. Let g = -42 + 44. Suppose -11*x + z = -g*x. Give p(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/39)*y**(-1\/4)\/y*y)**(-2\/75)\/(y**(2\/7)\/(y*y**13*y))**32 assuming y is positive.\nAnswer: y**(19281817\/40950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 9 = -c, 5*p = 2*c - 4 - 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -26*o - 7. Let t(i) = 21*i + 8. Let s(z) = -4*g(z) - 5*t(z). Let j = -2 + 4. Let q = j + -7. Calculate s(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28739700 and 1188?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -75, -162, -253, -348, -447, -550, -657?\n\"Answer: -2*o**2 - 81*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) - (sqrt(133) - (sqrt(133) + sqrt(133)*-2))*6) - sqrt(133) - (sqrt(133) + (sqrt(133) + -1*sqrt(133))*3))\/(1*sqrt(252)*3))**2.\nAnswer: 475\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-840)*25\/4?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5114.9951 rounded to the nearest 100?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3 + 1. Let u(l) = -l**2 - 6*l - 6. Let t be u(-4). Let n = t + s. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 + 21*j + 25. Let a(f) = 11*f**2 + 61*f + 70. Let y(m) = 6*a(m) - 17*w(m). Give y(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x - 7 - 161*x - 191*x**3 + 22*x + 186*x**3 as d*x**2 + y*x + o + a*x**3 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 9 = -o + 3*i, i - 49 = 4*o. Let u be ((-9)\/(-9))\/((-2)\/o). Let x = 4 - u. Is x not equal to -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09568 rounded to two decimal places?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*j = 37*j + 10. Solve i = o, -3*i + 2*o + 9 = j*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let t(w) = -5*w - 11. Let n(q) = -t(q) + 6*u(q). Let l be n(9). Suppose -23 = -5*o + l. Calculate the remainder when 10 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132032323 + -10?\nAnswer: -132032333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 96704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 103b40?\nAnswer: 103b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 3*w + 21 = -8*z, -5*z - 9*w = 63. Solve 0 = 3*d - 3*h + 6, z = -32*d + 29*d + 5*h - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from wwwwwhwhwh.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((81\/(-6))\/(-9))\/3. What is the second biggest value in m, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/345*4\/2*(-3)\/(-6)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132305 + -90821. Suppose -8*x + a = 4*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1419\/34 - 83\/2. Let s be (-12)\/(-20)*5 + -4. Is s != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/4 in -2\/17, -1, -18, -5\/8, -0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - s = -14*r + 33, 0*r - 18*s = 4*r + 538 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 7*x + 1. Let b be h(7). What is the second derivative of 13*t**2 + b + 176*t**5 - 174*t**5 + t + 0 wrt t?\nAnswer: 40*t**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 43*y + 2328. What is k(-54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 156*i**2 - 17*i - 17. Let u(l) = -26*l**2 + 3*l + 3. Give -6*c(w) - 34*u(w).\nAnswer: -52*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 410314 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8487 is divided by 116?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -9. Suppose u + u = m. Calculate the remainder when 13 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35567840 divided by 12320?\nAnswer: 2887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 322*m\/5 - 984\/5.\nAnswer: 2*(m - 3)*(m + 164)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 448, 94, -260, -614, -968?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17533.4886 to the nearest one hundred.\nAnswer: 17500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101.413l in millilitres?\nAnswer: 1101413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-6))\/((-34)\/(-12240)*60). Suppose -4*u - 6 = -5*u. Let s be 4\/(-10) + u\/(-10). Sort -2, -7, x, s in increasing order.\nAnswer: -7, x, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, 85, 314, 717, 1354?\nAnswer: 2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*c**3 - 3*c**3 + 50*c**3 + 99*c**3 - 2*c to h*c**3 + w*c**2 + o*c + i and give h.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 2*s + 5*v, -3*s - 10*v = -11*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 456 - 3*d**3 + 5*d**3 + 4*d**2 + d - 452 - 8*d**2. Let g(x) = 4*x**3 - 7*x**2 + 3*x + 7. What is -4*g(b) + 7*h(b)?\nAnswer: -2*b**3 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68398270 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*w, -5*p = -p - 2*w + 2. Suppose -o - 4*i - 13 + 9 = p, -i = 3*o - 32. Calculate the remainder when 165 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/4*(-134)\/(-54) and 150\/44 - (-1)\/1?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -168*z**5 + 1066*z**4 - 226*z**3 - 744*z**2 + 72*z = 0. What is z?\nAnswer: -3\/4, 0, 2\/21, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 267.1262 tonnes?\nAnswer: 267126.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 8:39 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m. Suppose m = -w - x + 6, 5*x - 1 = -2*w + 5. Factor w*d**2 - 7*d**2 - 3*d + 0*d**2.\nAnswer: d*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 18*h - 15 + 2426*h**2 + 5*h - 2414*h**2. What is the hundreds digit of k(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(45\/(-10)) - (-156)\/33. Let u = x - 559\/88. Let v = u - 55\/104. What is the second biggest value in 0.4, v, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6. Suppose z + 4 = d. Suppose 3*a + q - 18 = 8*a, -d*a = 5*q - 3. Put a, 3, 1 in decreasing order.\nAnswer: 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g + 31*g = -304. What is the second smallest value in -6, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 51\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003395379 rounded to six decimal places?\nAnswer: -0.003395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 141736 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2))\/c**(-4\/7))\/(c*c**(-1)*c)**(-22) assuming c is positive.\nAnswer: c**(179\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 78, 1 in descending order.\nAnswer: 78, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12545 is divided by 131.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f**24))**(-2\/27)\/(((f*f*f\/((f\/(f**(-19)\/f))\/f)*f)\/f)\/f*f**39*f))**27 assuming f is positive.\nAnswer: f**(-544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, 47, 224, 497, 866?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 75*a**4\/8 - 135*a**3 - 1053*a**2\/4 - 162*a + 715. Factor f(q).\nAnswer: 3*(q - 12)*(5*q + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - -14?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*w + 18384949 - 18389851 for w.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -28. Let u = -50 + z. Let j = 3.7 + -3.3. Which is the closest to u? (a) j (b) 1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = j, -r = 5*j - 2 - 2. Suppose j = -6*p + 28*p - 1914. Calculate the smallest common multiple of 18 and p.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.60223 * -0.2\nAnswer: -2.720446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8100 - 5406. Let m = -1128 + k. Suppose -6*u + m = -192. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 28 = -2*q, -2*q = 2*z + 91 - 79. Which is the second biggest value? (a) -0.04296 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -73 (b) -0.3 (c) 0.1 (d) 0.3 (e) -1 (f) -58\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -ac?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - 22*s + 35. Give r(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2657322, 5314707, 7972092?\n\"Answer: 2657385*h - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(5\/1810*-4) + -1. What is the greatest common divisor of 48 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x**2 - 23*x**2 - 103*x**2 - 57*x**2.\nAnswer: -138*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 558.429 and -0.6.\nAnswer: -335.0574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 2*o + 7. Let n(z) = 7*z**2 - 7*z + 5. Let k be n(1). Calculate f(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.03729 and 45740?\nAnswer: 45740.03729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**4 + 2*w**2 + 2*w - 11. Let t(k) = k**2 + k + 1. Let p = -53 + 51. Let u(i) = p*t(i) + q(i). What is the first derivative of u(y) wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, p: 1, d: 1, j: 2}. What is prob of picking 1 d and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.5 - 0.5. Let d = 612\/3245 + -2\/295. Let s be (1*6\/(-25))\/(249\/830). Put d, s, n in descending order.\nAnswer: n, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 5*j + 11, -4*j - 16 = -9*i + 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 18 (c) -0.3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 732, 691, 652, 615, 580, 547, 516?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q + 1859*q**2 - 1858*q**2 - q**4 + 4*q**4 as i*q**3 + x*q + l*q**2 + b*q**4 + j and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 570\/(-24) + -2 - (1 + (-2)\/(24\/21))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/1*14\/49.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + 6*c - 3*c + 7*c.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -14960 > -14972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 316657522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21221 (base 3) in base 9?\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 13*o + 2*o**4 + 2*o**2 + 12*o - 34*o + 12*o in the form r + n*o + x*o**2 + w*o**4 + t*o**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 132 = 2*n. Let h = -9 + n. What is the remainder when 45 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**2)\/(x**12\/x)*x**(8\/3)*(x\/x**(-13\/2)*x*x)\/x*x assuming x is positive.\nAnswer: x**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 5*x. Let r be l(-5). Suppose 0 = -32*z + 25*z - 42. Let q be 1\/6*(z + 4)*-6. Solve r = -o - q*o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378 divided by 54.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o**2 + 4*o**2 - o**2)*(914 - 457 + 18*o**3 - 460).\nAnswer: 180*o**5 - 30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + (2 - (-6 - -1)) - -11) + (2 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1444 - -3?\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h - 5*n - 40 = 0, 2*n + 6 = 0. Suppose 2*x = h*x + 30. Let i = -6 - x. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -202, -580, -1208, -2086, -3214?\n\"Answer: -125*q**2 - 3*q - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121.357 * -0.464.\nAnswer: -56.309648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 799*x + 6207. Let w be r(-6). What is the greatest common factor of 27 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 + 8 + -4)*1. Let q = b + 9. Let m = 0 + q. Solve 0 = v + 2*v + 5*j + 8, 2*v + 3*j + 4 = m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 41, -365, 3, 2, 4 in decreasing order.\nAnswer: 41, 4, 3, 2, -4, -365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 5. Let i(g) = g + 12. Let n(k) = 11*k - 1. Let b be n(-1). Let x be i(b). Sort l, -2, x in descending order.\nAnswer: x, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.5678186 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*b**2*f**3 + b*f**3 + 4*b*f + 5*f**3 + 48*f wrt b.\nAnswer: -128*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - 2*sqrt(432) - sqrt(27))\/(-1*sqrt(9)*1).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -96*h**2 - 16*h. Let k(i) = -96*i**2 - 13*i. Give 5*k(p) - 4*u(p).\nAnswer: -96*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1527997 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 59. Suppose -5*s - b = -4*y - 0, 4*y + 2*s - 32 = 0. Solve -y*m = -3*g - 3*m + 26, 2*g + m = -1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*i**3 - 13*i**3 + 2*i - 2*i.\nAnswer: -190*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 - 2 = 16*s. Determine y, given that -25*y - s + 15*y**2 - 6 + 6 + 5*y**3 - 20*y**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 18*y**2 + 4939*y - 88912. What is z(18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8732599 - 260\nAnswer: -8732859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330221 (base 5) to base 10.\nAnswer: -11311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**3 + 18*i**2 - 10*i + 36. Give t(5).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00747025036 to six dps.\nAnswer: -0.00747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 3660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4910)\/20*24\/(-2). Suppose 3*k = 2*u - 29100, -3*k + 4*u - r = 26154. What is k rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384639?\nAnswer: 3, 128213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -263, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 13*r - 20. Let p be h(-11). Suppose -5*w = -2*s + 4, 3*s + 5 - p = 3*w. Is (-79)\/(s + 64\/22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 694*k - 27754. Give h(40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 11 + 6 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -850572 + 1?\nAnswer: -850571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553129.\nAnswer: 17, 32537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/11 and -56\/1278735.\nAnswer: 14066085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 977185311 a multiple of 3697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 70815.61t in kilograms?\nAnswer: 70815610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 14) in base 3?\nAnswer: -112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 735 and 180\/(-135) + 3\/(-9) - (-14558)\/3.\nAnswer: 24255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*i - i. Suppose -i = -2*q + 10. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-15)*3\/30*-30.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 398222 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 83*v**5\/60 - v**4\/12 - v**3 - 71*v**2. Find the second derivative of w(r) wrt r.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9662.705 centuries?\nAnswer: 966.2705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -64*n**2 - 61*n**2 + 182*n**2 - 64*n**2. Let i(a) = 4*a - 6. Give i(u(r)).\nAnswer: -28*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1916 + 1917.2. Which is the fourth smallest value? (a) 2\/5 (b) -1 (c) -3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-101)\/(-4) + 2\/8*-1. Suppose -44*j = 465 - k. Let z(q) = 4*q + 34. Calculate z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 4, -5, -20?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 2*h - 2*h)*(2 + 13*h - 5*h - 14*h).\nAnswer: -12*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2951330 divided by -1?\nAnswer: 2951330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 208*t**3 + 148?\nAnswer: 624*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 b when four letters picked without replacement from {b: 3, s: 1, h: 2, y: 4, p: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2754) - (sqrt(2754) - (sqrt(2754) - sqrt(2754)*-2)))\/(sqrt(6)\/sqrt(3)*2))**2.\nAnswer: 12393\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*z = -8371 - 89. Let o = 145 - 79. What is the smallest common multiple of o and z?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10455.45m to kilometers.\nAnswer: 10.45545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22027412 and -0.4.\nAnswer: 8810964.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 3, z: 6, s: 2, v: 2}. Give prob of picking 1 v and 1 k.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 29 - 9*x**3)*(0*x + 2*x + x) + (-2*x + 4*x - x)*(2*x**3 + 0*x**3 - x**3) + 0*x**4 + 9*x**4 - 84*x**4.\nAnswer: -101*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 26*i**2 - 25*i + 100. Calculate the remainder when h(27) is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 - -1 - (166 + 59 + -187)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3874 + 48. Suppose 826 = -8*x + j. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133602 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 353*u - 19771. Calculate g(56).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10695287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 1)*(-276)\/(-8694).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.5 and 4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 227 + 130. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 53 = -5*l - 3, 5*g + 2*l = 361. Calculate the remainder when g is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.085 + 0.585. Let u = 7 - 7.3. Sort u, 0.4, q in decreasing order.\nAnswer: q, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150 - 45*v + 217 - 50 to h*v + l and give h.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 13, s: 6}. Give prob of sequence yy.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 6*c + 6. Let t be f(-4). Let m(h) = h**2 + 7*h + 1. Let w be m(-7). Suppose -w + 3 = y. Put t, y, -4 in increasing order.\nAnswer: -4, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29106 is divided by 9700.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3264 and 42.\nAnswer: 22848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) 5 (b) -1\/9 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 28 = 22. Suppose 4*r - 45 = 3*i, i = -4*r + 23 + x. What is the smallest common multiple of (131 + 19)\/(-10) + 16 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (7 - (25 - (-5 + 0)) - -7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 + 52*f**3 - f**3.\nAnswer: 58*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -2068414257.\nAnswer: 2068414257.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1842299*b**2 - 6209*b + 6209. Let y(l) = 890*l**2 - 3*l + 3. Let k(i) = 3*c(i) - 6209*y(i). Let u(d) = -5*d. What is u(k(r))?\nAnswer: -4435*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1591.5354 + 1673.535571. Let r = 115 - 197. Let n = r + j. What is n rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/(-99) - 24\/(-11). Solve -3 = -h*z + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/5 in 1\/3, -4, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -63, 3 in increasing order.\nAnswer: -63, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 11*d**2 - 11*d. Let a = 19 - 8. Let s = 11 - 9. Let z(g) = 8*g + g**3 + 11*g**s - 5*g**2 - 2*g. Give a*z(x) + 6*q(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 230 + 634. Let g = d - 165. Calculate the remainder when g is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-16) + 11 + (-12)\/32. Suppose 3*l - 47 = f, -3*l - c*f + 17 = -6*f. Let o(t) = t**2. Calculate the remainder when l is divided by o(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 20*c**2 + 2*c - 45. Calculate o(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -6\/43, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -959b9 + -3?\nAnswer: -95a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**9\/(d\/d**(-2\/7)*d**0) assuming d is positive.\nAnswer: d**(81\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwlm. What is prob of picking 1 w and 2 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let y(z) = z**2 - 2*z. Let l be ((-90)\/(-9))\/5 - 0\/2. Let t(g) = l*y(g) - 4*q(g). Let m(r) = -7*r. Determine m(t(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a minute in milliseconds?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c**2. Let y(n) = 4*n**3 - 2*n**2 - 2*n + 9. What is 2*m(a) - y(a)?\nAnswer: -2*a**3 + 2*a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 653 (b) -3 (c) -0.03 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1515*b - 2. Let m be a(5). Let k = 68261\/9 + m. Calculate the common denominator of -65\/6 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - 2*w - 14*w)*(2 - w + 5*w - 3*w) in the form o*w**2 + u + g*w and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1696 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 12 = j + 5*r, 0 = 4*r + 16. Let f = 1.7 - 1.7. Which is the nearest to 2\/5? (a) 1 (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 7*s**2 - 17*s - 2. Let t be (2\/(12\/(-42)))\/1. Let p be w(t). Let g = 393 - p. List the prime factors of g.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = -2*c - 58. Let z = 132 + c. Suppose z*w = 10*w + 30. Solve w*b = 9 + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 139579, 1116601, 3768509, 8932747, 17446759, 30147989, 47873881, 71461879?\n\"Answer: 139574*y**3 - y**2 + 7*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436153?\nAnswer: 71, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 170950 divided by 3950\nAnswer: 3419\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716271 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2411093 take away 5?\nAnswer: -2411098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24801949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 1\/30481?\nAnswer: 1\/30481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 10*u**2 + 3*u. Determine r(-7).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {a: 4, y: 5, t: 3}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 580488 and 2412.\nAnswer: 1741464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6501.732 weeks?\nAnswer: 45512.124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k + 35205*k**2 + 35241*k**2 + 1 - 70488*k**2 wrt k.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 5*x + 4*x**2 + 10*x - 7*x**2 - 384*x**3 + 385*x**3 + 7*x**2 in the form b*x**3 + j*x**2 + l*x + s and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4 + 29. Suppose -b = -2*f + 5. Factor 8*r - 5*r**2 - 9*r**4 + 17*r**2 + f*r**4.\nAnswer: -4*r*(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -68.7. Let x = 1 + -4. Let r = m + x. Which is the nearest to 1? (a) -2 (b) -4\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2113232310 (base 4) in base 6?\nAnswer: -21153140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)*-2)\/((sqrt(77)*-1)\/sqrt(11)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-8)\/r*r*r*r**(-1\/19)*r**(-6\/5)*r*r**(-5) assuming r is positive.\nAnswer: r**(-1164\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*w + 2*w. Let r = 10 + 0. Is 1*21 - r\/w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*x + 13. Solve x*z + t + 21 = 2*t, -16 = 4*z + 4*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*z**2 - 2)*(-2*z + 0 + 0)*(2*z - 10*z**2 - 7*z**2 + 15*z**2 + (-3*z**2 + 5*z**2 - 12*z**2)*(4 - 4 - 2)).\nAnswer: 72*z**5 + 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*-1 + 4)*4 - ((1 + sqrt(252) - sqrt(252)) + sqrt(252) + -5 - sqrt(252) - -1*-2*sqrt(252)))**2.\nAnswer: -480*sqrt(7) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3612636.824 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ooouuou.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**6\/120 + 7*x**5\/60 + x**4\/6 + x**3\/6 + 2*x**2. Let j be t(-7). Let i = j + 43. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 divided by 7943\nAnswer: 121\/7943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 228.1 * -0.11\nAnswer: -25.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.913 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -6. Let o = 9 - g. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, g: 2, j: 2, k: 5, b: 3}. What is prob of picking 1 k, 2 j, and 1 b?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/3 + -3. Which is the closest to -1? (a) 2\/9 (b) -0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26503 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2050*d**4\/7 - 28346*d**3\/7 - 11460*d**2\/7 + 86248*d\/7 + 9616 = 0.\nAnswer: -1202\/1025, -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 38, -3, -5\/3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40272563 by -23.\nAnswer: -1750981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6\/o*o*o\/o**(3\/2) assuming o is positive.\nAnswer: o**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-10)\/65 - (3 - (-56830)\/(-130))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -5*b - 30 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51992231 is divided by 471?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13311, -13210, -13111, -13014, -12919, -12826?\nAnswer: -12735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24161 is divided by 187.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixf when three letters picked without replacement from {f: 4, i: 6, x: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*n - 96, 146 = 3*i - 6*n + n. Let f = -40 + i. Which is smaller: 5\/3 or f?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4364693679062 + 4364693679062 - 9*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340118, -340144, -340172, -340202, -340234, -340268?\nAnswer: -340304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 374.1 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 1036*a**3 + 2 - 14.\nAnswer: 1036*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273.3195 kilograms to milligrams.\nAnswer: 273319500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 576.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 6 = -14*j - f, -2*j + 4*f = -22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 1285.\nAnswer: 3855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6083.\nAnswer: 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 7, v: 6}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**2 - 6*o - 8. Let x be k(-2). Is 54 a factor of 9092\/x - 1\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3\/4, 0.18, 5.12 in ascending order.\nAnswer: 0.18, 0.2, 3\/4, 5.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 - -101. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 20044339.\nAnswer: 3\/20044339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a - 3. Let s be i(-3). What is the third derivative of -2*y**6 - 2*y**4 + 2*y**4 + y**s - 7*y**2 wrt y?\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, r: 17}. What is prob of sequence jrj?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 3*g + 4. Give k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0.5. Let h = s + 0.2. Let d = 8 - 8.4. Sort h, d, -1 in decreasing order.\nAnswer: h, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 5 = 22*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1676676215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -15984150 to the nearest ten thousand.\nAnswer: -15980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5101, -10275, -15449, -20623, -25797, -30971?\n\"Answer: -5174*o + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 4:01 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/22 - 64227\/(-8943).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6323331?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1452877?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 35 = 5*p, 36 = p - 9027385*f + 9027391*f for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1056 divided by -3.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00499803 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) - -6*2*sqrt(130) - sqrt(130)))\/(1*sqrt(640)).\nAnswer: -11*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5128996 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + 22030120?\nAnswer: 22030231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*n - 24*n - 27*n to the form m*n + a and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1118\/35 + -164\/5. Put -3\/8, 0.3, k in decreasing order.\nAnswer: 0.3, -3\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 7, 13, 15 in descending order.\nAnswer: 15, 13, 7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 10102*l - 1996140.\nAnswer: -2*(l - 4845)*(l - 206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1670 - -3261\/2. Calculate the common denominator of (-2)\/4*(-309)\/(-9) and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 3, o: 1, f: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/9 (b) 3\/2 (c) 2\/13 (d) -41\/18 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135442?\nAnswer: 2, 241, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -53.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*7\/112)\/(((-27)\/18)\/(-3)). Let k = -0.2 - -1.2. Which is the third smallest value? (a) 0.3 (b) k (c) u (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -76.816036 to the nearest integer.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 1\/120*q**6 - 13\/60*q**5 - 28*q**2 + 0 + 0*q - 40\/3*q**3 + 7\/3*q**4. Determine g, given that b(g) = 0.\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 7*g + 4. What is the least common multiple of u(9) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2280252798?\nAnswer: 2, 3, 23, 37, 148861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 223*s - 3. Suppose 4*b = -2*f - 8, -2*f + 22 = -5*b - 6. Is p(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 6*a. Let w(t) = 85*t**2 - 33*t**2 - 25*t**2 - 21*t**2. Determine w(d(k)).\nAnswer: 24*k**4 - 144*k**3 + 216*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-1)))**(-19))**27*(q**(-2\/9)\/q)\/(q*q**(-5)*q)*q**(-5)*q**(1\/2)*q assuming q is positive.\nAnswer: q**(-9265\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2955, 11524, 25807, 45804, 71515, 102940?\nAnswer: 140079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1513 = -4*w + 1991. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*(sqrt(1008) - ((-2*sqrt(1008) - sqrt(1008))*3)**2) - (sqrt(1008) + ((sqrt(1008) + 0)*-6)**2 + 4)))*-3.\nAnswer: -180*sqrt(7) + 1578528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2799042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 113500626 to the power of 1\/3, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + z)*(-1 - 9 - 1).\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24 + -22 - -1*17. Suppose -g*k = -7*k - 120. Suppose -m - 113 = -5*z, -k*m + 8*m = 6. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0\/(-3 - -1). Suppose -10 - 5 = -3*c, f = 5*g - c + 5. Let o = -0.793909 + -0.206091. What is the closest to o in g, 2, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*v - 441*v + 218*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)*y\/(y\/(y\/(y\/(y\/y**(-2\/9))))))**(-14\/11) assuming y is positive.\nAnswer: y**(-1022\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-60)\/(-21))\/5*7. Suppose -s*d = -2*a + 82, -d - 2*a + 6*a = 38. Let t be 8\/36 - 32\/d. Solve -5*f + 2 = v, 0 = -t*f - 3*f + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 46 - 50. Suppose 4*q + 0*w - 204 = -i*w, -189 = -4*q - w. What is the greatest common factor of 115 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d - 8 = 2*j, d = 1. Let u be (1 - 10\/4)*4. Sort 4, -4, u, j in descending order.\nAnswer: 4, j, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*u - 4, 8*u = -v + 7*u + 8. Let n(t) = 4*t + 5. Let y(l) = -5*l - 5. Let m(k) = -7*n(k) - 6*y(k). What is m(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 - 5.05. Let b = 3 + -2. Let d = 728 - 731. What is the nearest to b in -2, d, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-40)*(-260)\/325*-10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442, -79, 532, 1391, 2498, 3853, 5456?\nAnswer: 7307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4641401 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -110. Solve -5*b + 5 = r, 3*b - c*r = -5 - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 3*l**2 + 13*l - 8. Calculate c(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/(-196) - (-516)\/(-462)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2. Suppose 4*c + 28 = -2*h, 5*h + 5*c + 45 = -0*c. Let y(g) = -g + 5. Let z(r) = h*y(r) - 10*o(r). Let n(x) = 32*x + 1. Determine z(n(f)).\nAnswer: 128*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 220*f + 456.\nAnswer: -4*(f - 2)*(f + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 220901.7 centuries?\nAnswer: 22090170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 429.4908 centimeters?\nAnswer: 4294908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**3 - 2*n**2 - 4. Let r(y) = 7*y**3 + 2*y**2 + 5. Give 4*k(i) + 3*r(i).\nAnswer: -7*i**3 - 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -459100783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - (-23 + 23 - -86)) + 20.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3485.2 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 14. Solve -2*t = z - 1 - 2, -v*t - 5*z = 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by (1752\/(-730))\/(3\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92495623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(2 - 2 + 2*m)*(-4*m**3 + 4*m**3 + 3*m**3) + m**4 + m**4 + 0*m**4.\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10*q**2 + 119*q + 13. Let l be i(-12). Suppose 8*b = 3*b + 15. Solve -2*w + l = b*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1 - 2 + 22*y + 4. Let u be j(-2). Let r = u - -134. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -819, -354, 411, 1470, 2817, 4446?\nAnswer: 6351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/(-7))\/((-45)\/50))\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l - 3. Let w = -37 - -30. Suppose 0 = -k - 2*k - g + 4, k - 4*g = 23. Calculate the remainder when v(w) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -380 + 395.01. Let v = b - 15. Suppose 4 + 5 = 3*g. Put g, v, 1 in ascending order.\nAnswer: v, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -10, 8, -48.02, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.392 - 232.088. Let q = 0.103 + -232.103. Let a = m - q. What is a rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 448201040*j**2 - 12555260766067600*j.\nAnswer: -4*j*(j - 56025130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/33970284 and -157\/70860.\nAnswer: 169851420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -40. Let g = -3 - 14. Let i = v + g. Let j(x) = -x**3 + 3*x**2 + 2*x + 4. What is j(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -3 (c) 1\/5 (d) -132 (e) -2\/11 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/3)\/y**(-1\/3)*((y\/(y*y\/(((y*y**(-3)\/y*y)\/y)\/y)*y))\/y)**(-10\/7) assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2 + 99\/18. Suppose -3*v - 36 = -2*z - z, 4*v = 3*z - 50. Let u = v + 16. Put c, u, 0 in decreasing order.\nAnswer: c, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*u = 570 + 115 + 80 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131\/10 - -13. Let b = 484 + -354. Let z = b + -130.06. What is the fourth biggest value in 2, z, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1085 divided by -217\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 884481 + 6.4945.\nAnswer: 884487.4945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 945.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13222255 from 2.4.\nAnswer: -13222252.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**3 - 17714 + 17714.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n + 65. Let r be -4*(-1)\/4 + n. Let d be (-6)\/9 + r\/45. Which is the smallest value? (a) 0 (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620263 is divided by 2912?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + 14?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -136, -2, -190, -21 in descending order.\nAnswer: 3, -2, -21, -136, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2170 at least as big as -2170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3 + 13 = 0. Factor -3*j + 150 - r*j + j**2 + j**2 - 144.\nAnswer: 2*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -5*a - 3*p + 14, -5*p - 130 = -140 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52011 (base 11) in base 16?\nAnswer: 12867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7372)\/95)\/194)\/(171\/30).\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 + 0*u**2 + 2*u**3 + 2*u**4 + u**2 + 63 in the form m*u**2 + h*u + a*u**3 + q*u**4 + c and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 + 294. Suppose -2 = -13*f + v. Solve 4*l + 23 = f*w, w + l = 3*w - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*m = 233*m + 76835. Calculate the remainder when m is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67517 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-28)*(-28)\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 180695700.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**3\/3 + x**2\/2 + 34*x - 3. Let u be g(0). Suppose -k = 3*f + k - 24, 4*f + 2*k - u = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 14931.\nAnswer: 59724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 + -8.3. Let s = -6.4 - h. Let o = -0.3 + s. What is the smallest value in -2\/5, o, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 2)\/(-1*1). Let y(x) = -7*x**2 - 2 + 2 - 5*x + 1 + 3*x. What is y(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(189) + (sqrt(189) - sqrt(189)*1)) - sqrt(189))\/(sqrt(21)\/(sqrt(9)\/(sqrt(12)\/sqrt(4)))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/264? (a) -2\/15 (b) 0.1 (c) -0.3 (d) -3\/5 (e) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*z**2 + 607*z**2 - 271*z**2.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.3 (c) -9472\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(130\/(-140))*(1305\/(-174) - (-1)\/1).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 29 = 17. Suppose 2*p = -3 + 1, p = q - v. Factor -2\/3*n**3 + q*n - 2\/9*n**2 + 0 - 2\/9*n**5 - 2\/3*n**4.\nAnswer: -2*n**2*(n + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15 + 5*f**2 - 4*f**2 + 7 + f + 9 - 30. Let v(n) = -n**3 - 3*n**2 - 5*n - 3. What is -3*m(t) - v(t)?\nAnswer: t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 833561.\nAnswer: 833566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/4815 and -2\/21.\nAnswer: 33705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/2 and (3\/7)\/((-3)\/38).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(0 + (-3 - -2)). Suppose -2*a - 4*w + 3*w + 90 = s, a - 45 = -2*w. Is 2\/(-9) - (-1495)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**2 + 253046*u + 16008069529 = 0.\nAnswer: -126523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 18 + 23)*(-2*f - 3*f + f).\nAnswer: -136*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from rxvvrvrrrsrrxvr?\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 8*u + 13. Let m be y(-7). Suppose -4*o + 6 = -m. Solve -2*i = 0, 15 = o*w + 3*i - 8*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1464 (base 9) to base 12\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in -1, -2\/33, -3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0.4682\nAnswer: -6.5318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 40\/101, 16, 1\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-3 + 1 + 4 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 11 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 3. Suppose 0 = b - 4*s - 16, s + 1 = -4. Let d(l) = -2*l + 4. Let z(w) = b*j(w) - 3*d(w). Let c(h) = -h. Determine c(z(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 65727.\nAnswer: -32863.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 v when four letters picked without replacement from {v: 7, b: 2, j: 7}?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023996 rounded to 6 dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (-117 - -118).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48184518 to the nearest integer?\nAnswer: 6942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/2, 2\/567, -73\/2.\nAnswer: -73\/2, -23\/2, 2\/567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 38180*t**2 - 18749185*t.\nAnswer: 5*t*(t - 8099)*(t + 463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnninninnn. What is prob of sequence innn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1100b + -267?\nAnswer: -11273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -432\/5, -3, 1, 115, -5 in ascending order.\nAnswer: -432\/5, -5, -3, 1, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -824 + 1439. Let a = p + -355. List the prime factors of a.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -418590607 divided by 10209527?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -42. Let p = 0.064 - 0.564. Which is the third smallest value? (a) p (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 4:53 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 - 7) - (-8 + (4 - 4) - 8).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/13)*j\/(j\/j**8))\/((j*j**4)\/(((j*j\/(((j**(1\/2)*j)\/j)\/j))\/j*j)\/j)) assuming j is positive.\nAnswer: j**(115\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408 and 919537344.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 13*h - 16*h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/90 + ((-2)\/(-5))\/1. Suppose -m + 2*j + 22 = -5*m, 3*j + 9 = l. Suppose 0 = 4*d + 2 - 18. Which is the biggest value? (a) m (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-52)\/(-234))\/(2\/(-12))*6. Let n(c) = c**3 + 8*c**2 - 2*c - 5. Give n(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1059 - 82*y - 1054 + 2113 to w + q*y and give q.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/2)*k)\/k)\/(k*k**(-3))*k**(-3)\/(k**(-2\/5)\/k) assuming k is positive.\nAnswer: k**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(33))\/sqrt(3)*2.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -x**2 + 112 + 4*x - x - 15*x - x**2 + 4*x wrt x.\nAnswer: -4*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-308)*(-1211)\/(-346)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/21 - -6 - (-8)\/(-6). Suppose 0*h = g*h - 214. Calculate the remainder when h is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqh when three letters picked without replacement from uhhkhhkhhhkkkuueuhqk?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let v be 2\/(-12) + (-39)\/(-18). Let b(j) = -v + 2 - 5*j. Calculate b(w(u)).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120381 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from edewdqd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/5, 1\/4, 2, -0.02?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 plus -47?\nAnswer: -47.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2581 - 277*p + 5157 - 2576 + 509*p - 286*p.\nAnswer: -54*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.156?\nAnswer: -0.0468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - 2)\/(-8)*-2. Let m be z + (-1926)\/(-15) + 6\/(-15). What is the units digit of (-1 - -3) + 3 + m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/63 - 864\/(-14). Let g = b - 40. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -19 - -8) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-6)*(y\/((y*y**(-11))\/y)*y)\/y)\/(y**(-6)*y\/y**4))**(-23) assuming y is positive.\nAnswer: y**(-644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 4:06 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1994480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 8, 51, 112, 191, 288, 403?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -5*o**4\/24 - 5*o**2. Let y(t) be the first derivative of t**2 + 1. What is y(c(i))?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4961, 1627, -1729, -5119, -8555, -12049, -15613, -19259?\nAnswer: -22999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + 2 + (sqrt(400)\/sqrt(8) - sqrt(50)) + -1.\nAnswer: 1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12737090 is divided by 3184268?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from yynqynnyypspsnnsn.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 24 = 26. What is the third derivative of 20*m**2 - 46*m**2 + 2*m**6 - h*m**4 - 29*m**2 - 12*m**6 wrt m?\nAnswer: -1200*m**3 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 - 1 + 6*b + b**3 - 4*b + 0 + 2*b**4 to s*b**4 + t*b**2 + l*b + o + j*b**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199275624.\nAnswer: 2, 3, 2767717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzqqqzqqzzqzuquqy. Give prob of picking 1 u and 2 z.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4\/7 + 1603968*l**3\/7 - 48116640*l**2\/7 + 481158400*l\/7 - 1603848000\/7.\nAnswer: -4*(l - 400962)*(l - 10)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00307 rounded to 4 dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o = 16*o + 65250 + 40570. What are the prime factors of o?\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b - -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n*u**3 - 5599*n*u - 4*n - 5934320*u**4 + 74*u**2 + 2*u - 1 wrt u?\nAnswer: 12*n - 142423680*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a300 - 4?\nAnswer: -1a304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/333 + 2\/111. Let o = -0.929 + -0.071. Which is the second smallest value? (a) o (b) -2 (c) m (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22002015 to the nearest one thousand.\nAnswer: -22002000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122784.\nAnswer: 2, 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/4 - 11*s**2\/2 + s\/4 + 11\/2.\nAnswer: -(s - 1)*(s + 1)*(s + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*(-3 + sqrt(275)) - (sqrt(275) - (sqrt(275) - ((sqrt(275) - (-2 + sqrt(275))) + sqrt(275) + -5))))*2)**2*2.\nAnswer: -8640*sqrt(11) + 81792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 18 = -q - 3*q, 2*z - 3*q = 13. Suppose -g = w - z*w + 5, -2*w + g = -11. Solve -w = -4*d + 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + 1*sqrt(192) + sqrt(192) - (sqrt(192) - (0 + sqrt(192) + -1)))**2 + -2 + 1.\nAnswer: 64*sqrt(3) + 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1344771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3654 divided by -1201\nAnswer: -3654\/1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, b: 2, m: 1, c: 2}. What is prob of sequence bpcc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 3.1.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-78)\/(-4)*2\/3. Let j be -1*1 - (m - 4). Let t(k) = k**3 + 10*k**2 - 3*k + 6. Is 6 a factor of t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:20 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8712 and 182136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8701014*c**2*x**3 + 1468*c**2*x**2 + 48*c**2*x - 2*c**2 - 5*c*x**2 + 2*x**2 wrt x.\nAnswer: 52206084*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 1. Let t be a(0). Let f(c) = 282*c**2 - 7*c + 10. Let n(q) = -94*q**2 + 2*q - 3. Let m(b) = -2*f(b) - 7*n(b). Is m(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13567*w**3 + 78794*w**3 + 0*w**2 - 4*w**2.\nAnswer: 92361*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1910037*v**2 + 0 + 0.\nAnswer: -1910037*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 25 = -11*o. Suppose 5*i - 67 = -0*t - t, o*t = 5*i - 85. Calculate the highest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205248 and 1416.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.04 + -27. Which is the closest to 0? (a) -0.2 (b) 2\/21 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3404922 and 4539896?\nAnswer: 13619688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 148537787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 7*s - 4*z + 57, z - 3 = 0. Let g(o) = -5*o + 2. Let j(l) = -11*l + 4. Let t be 144\/(-54)*(-15)\/10. What is s*g(n) + t*j(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -24*r + 222. Suppose 0 = -2*h - 3*j + 4968, 2478 = -22*h + r*h + 3*j. What is h rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14\/21)\/(16\/(-75)) and -65\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d + 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 2*z + 10, -2*s + z + 7 = 0. Suppose -r + 48 = -2*m, -4*r - s*m = r - 216. Suppose 0 = -40*x + r*x. Solve x*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 57\/10 (b) 1\/6 (c) 1 (d) 538\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5198123851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -174, -251, -312, -351?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126792 + 25949. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 501012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence did when three letters picked without replacement from ikivcdxd.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396779576.\nAnswer: 2, 43, 1153429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84630)\/(-13020))\/((-494)\/24).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t + 1. Suppose -3*q - 12 + 0 = 0. Let a(m) = -27*m - 3. Suppose 25 = 5*l, -56 + 6 = 3*j - l. Let g(i) = j*h(i) + q*a(i). What is g(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 15 = -4*d. Suppose -15 = -5*o, -4*w + 3*o + d + 58 = 0. Suppose -2*l - w = -5*l. Solve -5*r - s = l, -s - 3*s - 5 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*q + 13*q + 11*q)*(-1 - 5 + 2) - 27*q - 19 + 19 as o + h*q and give h.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7539224521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -99 in increasing order.\nAnswer: -99, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*t - 99. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1125)\/30*4\/(-18)*3. Suppose 3*x = -3*k + 21, 2*k + 3 = k + 4*x. Let o(q) = 0 + 0 + 22*q**2 - n*q**2 + k*q. Let m(u) = u. Determine o(m(d)).\nAnswer: -3*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 + 14170.908408928?\nAnswer: 14170.868408928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 42*s + 26. Let b be g(20). Let a(k) = -k**2 - 13*k + 20. What is a(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -16, -2*u + 0*n - 2*n + 34 = 0. Suppose 0 = -u*d + 19*d + 80. Suppose -5*s + 1290 = -d. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 5\/(-10)*-8. Let o be 27\/((24\/(-20))\/v). Let h be 621\/o + -2*1\/(-5). Solve 4*k = 5*c + 6, -3*c + 22 + 4 = h*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21277aa9 + 4?\nAnswer: -21277aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 285580672?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1385 + 1411. What is the remainder when 4\/(-14) + (-2146)\/(-14) is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - ((2 - -1) + 3). Let l be (2\/6)\/(x\/(-60)). Suppose l*m + n = 10, 3*n - 10 = 3*m + 2*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533.6073t to kilograms.\nAnswer: 533607.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 12*n + 118. Let h be u(3). Calculate the common denominator of -8\/7 and h\/28*16\/20.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 19*z**2 + 15*z + 90. Let y be b(18). Suppose -y*p - 700 = -71*p. Calculate the highest common factor of 25 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1753, -2006, -2275, -2560?\nAnswer: -2861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -641, 395, -5.\nAnswer: -641, -5, 2, 7, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/3535 and 82\/10605.\nAnswer: 10605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 208511669 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -782 - -482. Let n be (r\/9 - -6)\/((-4)\/(-6)). Let d = -1 - n. Calculate the remainder when d is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 494 - 326. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 323 - 311. What is the remainder when 47 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 m, and 1 p when four letters picked without replacement from {l: 2, v: 2, m: 1, p: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2886*w - 3417*w = 9558 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 - 44*p + 347 + 42*p.\nAnswer: -2*p + 527","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5200)\/26)\/20*(-2)\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from llezxxzlxqllz?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + 0 - 1 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*0.3.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**5)**(-8\/9)\/(z*z**(-2\/7)*z)**(-1\/11))**1 assuming z is positive.\nAnswer: z**(2572\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -39 * 817\nAnswer: -31863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76893, 76849, 76805?\nAnswer: 76761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242 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: Rearrange (k**2 + 0*k**2 + k**2)*(0 - 2 + 1)*(-690*k + 1535*k - 660*k) to x*k**2 + z*k**3 + g + m*k and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (9 + (-103)\/11)*(-5)\/(-10)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 3*o - 10*o**2 + 6*o to the form d*o + u + j*o**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 14. Let n be (16\/(-24))\/(6\/3843). Let l = 467 + n. Calculate the highest common factor of l and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, 1 p, and 1 o when four letters picked without replacement from {o: 1, w: 3, p: 2, x: 4, b: 1, s: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 10*v**2 - 9*v - 5. What is n(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2374*u + 1299*u + 268*u + 3227*u as n + k*u and give k.\nAnswer: 7168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -12*n - 22. Solve -6*x - n = -22 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -10. Let y = 14.4 - l. Sort y, -5, 5\/4 in descending order.\nAnswer: 5\/4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.3 + -0.3. Let d = -3.63 + 0.13. Let g = d + i. Which is the smallest value? (a) 0.1 (b) -0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 48 = -2*y. What is the highest common divisor of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 2*v**2 + 3*v**2)*(0*v - 4*v + 5*v + (v + 4 - 4)*(-5 + 3 + 0) - v + 0*v + 0*v)*(-6 + 4*v + 9 - 4).\nAnswer: 16*v**4 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7286\/(((-4)\/41)\/2). Let q = -284363 - y. What is q rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + sqrt(136)*-2*-4 + 1*-1*sqrt(136) + sqrt(136))\/((sqrt(8) - sqrt(968)*-1)*-5))**2.\nAnswer: 153\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -15. Suppose y = -10*v + 16*v. Solve v*q - 2*q - 2 = -3*t, 0 = -2*q - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6386 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j + j + j - 5*j - 8. Let n be m(7). Sort -4, -0.04, n.\nAnswer: -4, n, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = -1. Let o(d) = 2*d + 12. Let h be o(t). Let -a**h - 9*a**4 - 3*a**4 + 13*a**4 - a**3 + a**5 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)*-2)\/sqrt(8) - sqrt(4050)*1)\/(sqrt(1000) + (-3*sqrt(1000)*3 + sqrt(1000) - sqrt(1000))).\nAnswer: 11*sqrt(5)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.23678+-11534.024\nAnswer: -11535.26078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454 (base 7) to base 8.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -27 - (-3 + -2 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3\/5 (b) 2 (c) 5 (d) 0.2 (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5 = -20. Suppose 6 = -5*l + v*o + 81, 3*l = -o + 45. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507326 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/357 and -104\/5445.\nAnswer: 647955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*z, 0*v - 5*z - 33 = -4*v. Let m be 2\/4*0\/v. Let p = 13 + m. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -94*o - 2184*o - 1848*o - 2906*o + 484*o in the form i*o + v and give i.\nAnswer: -6548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*v**(-7)))*v**(1\/19) assuming v is positive.\nAnswer: v**(-113\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x**2 - 21*x**2 - 22*x**2)*(-7 - 2 + 4).\nAnswer: 175*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -10787 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 12. Let u(x) = -x**2 + 9*x - 3. Let l be u(8). Suppose -l*z + 77 = -w + 227, 0 = b*w + 3*z - 834. What is the highest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18\/85 + -8\/765. Let f = -0.001 + 4.201. Let q = 4 - f. Which is the closest to q? (a) 2 (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707789?\nAnswer: 707789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b = -20. Let y = 9 + -5. Let w = -45 - -50. Solve 0 = 2*v - 7*v + w*h - 25, y*v + h = -b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -2*h**2 - 5*h + 266. Let t(i) = i**2 + 9*i + 11. Give -5*q(g) - 2*t(g).\nAnswer: -2*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.139, 140, -2.\nAnswer: -2, 0.139, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 113*i + 140. What is v(56)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42912, 172197, 387678, 689361, 1077252, 1551357, 2111682?\nAnswer: 2758233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 + 6*o + 6. Let x(v) = 14*v**2 - 18*v - 17. Give 17*i(f) + 6*x(f).\nAnswer: -f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -7752, -102 in descending order.\nAnswer: 7, -102, -7752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152431?\nAnswer: 313, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l + 1. Let b = -7 + 10. Suppose b*q - 5 = -4*w, -w = -2*q + 5 - 20. Let c(t) = 7*t - 3. Calculate q*g(o) - 3*c(o).\nAnswer: -o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 148\/(-370) + (-1)\/(-70)*543 and (-219)\/(-90) + 2\/5.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -5 - -7) + (-9 - -5) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69528534, -69528535, -69528536?\nAnswer: -69528537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - g - 1. Suppose -2*n = -n - 3*c + 14, 2*n - 5*c + 28 = 0. Let r = n - -13. Let h be o(r). Is 1 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + ((-320)\/15)\/(17\/12) + 6?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*m + 8, -2*d = -4*m - 0*d + 2. Suppose -4*b + 7 = -m. Suppose a - 39 = 3*u, -29 = -a + b*u + 10. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*w**2 - 166*w**2 + 573*w**2 - 192*w**2.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*d**3 - 18*d**4 + 443*d**3 + 20*d**4 - 4 - 2*d**2 - 249*d**3 to c*d**2 + m + s*d**3 + n*d + f*d**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346402 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 8884139.6 to the nearest 100000.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9698 is divided by 70.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*i + 336*i - 144*i)*(-2*i**2 + 3*i - 3*i) to the form b*i**2 + q*i + o + y*i**3 and give y.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 57*u**2 + 47*u + 58865*u**3 - 58864*u**3 - 7 + 18. Is x(-34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(99) - 1*sqrt(891).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -627 - -9?\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -210?\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuuvuuuuuuuuuuuuuuu.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5033730 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2363087*o**2*q**3 - 4273*o**2*q + o**2 + o*q + 15*q**2 + 2*q wrt q.\nAnswer: -14178522*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3105 (base 6) in base 5?\nAnswer: -10224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -14. Suppose 15 + 18 = b + 3*a, -w*b - 5*a = -146. Calculate the remainder when b is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 + 28\/98 + 30\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 = -4*s + 2, 1 = -s - 3*b. Suppose d + 2*w + 3 - 27 = 0, 0 = -2*d - w + 39. Let k(c) = 18*c - d*c - c**s. Let n(g) = -3*g. What is n(k(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {t: 1, y: 6, z: 12}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.251157 milligrams?\nAnswer: 0.000000008251157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.259 and 5.4.\nAnswer: 4.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21840 and 74883900.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a0 - -4?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gllaaggaokhaoghhl. What is prob of picking 1 a, 2 l, and 1 h?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**6\/120 + 11*t**5\/60 - 5*t**4\/12 + 5*t**3\/2 - 40*t**2. What are the prime factors of v(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -14*x - 118. Determine c(-3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8*l = -0*l. Suppose l = -4*h + 5*h - 3*w + 6, -5*h + 4*w = 30. Let b(r) be the first derivative of r**2\/2 + 12*r - 3. Give b(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2371418 and 4746.\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -62. Let u be (0 + -2)\/(r\/85). Let l = -6 - u. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1328.1424 - 2.8576. Are p and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + w + 3 + (-4*w + 3*w - w)*(-6 + 1 + 3) + 2 - 2 - w + 6*w + 0*w - 3*w - 4*w + w + w)*(321*w**2 - 662*w**2 + 294*w**2 + w**4).\nAnswer: 5*w**5 - 235*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(672) + -4*1*sqrt(672))\/(6*sqrt(60)\/(sqrt(20)\/sqrt(2))))**2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2998 - -2999. What is the nearest to 6\/7 in 139, b, -3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*y + 72*y - 4*z + 4, -5*z = -y + 29 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4742074*d - 3 + 3 - 4742076*d - 28*d**3.\nAnswer: -28*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -897, -2036, -3631, -5682, -8189, -11152?\nAnswer: -14571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49592*a = 50111*a - 14013 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 + 18*q**4 - 135*q**3 - 2*q**5 + 900*q**2 + 445*q**3.\nAnswer: -2*q**2*(q - 18)*(q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 4527*i**3 + 0*i - 3513*i**3.\nAnswer: 1014*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 232563 divided by -45\nAnswer: -77521\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8192 is divided by 1433?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 5*p + 5. Let m be w(5). Solve 8 = -4*c - 8, m*c + 14 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504*h**3 + 505*h**3 - 274*h**2 + 274*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + sqrt(7) + 1)**2 + sqrt(7).\nAnswer: 13*sqrt(7) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 12:18 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1356 (base 7) to base 11.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/4 in -8.85, -2.3, -4, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.621, -0.3, 3 in descending order.\nAnswer: 3, 0.621, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 53 + (11 - 20) + -12 + (-1 - -5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -4*u - 14. What is the least common multiple of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 smaller than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and -0.04.\nAnswer: -3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -99.62*-8\nAnswer: 796.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-240))\/(294\/3360)*-6\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(171)*3*4)\/((sqrt(405) + sqrt(405)*3)\/sqrt(5)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 323 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (23 + (-2)\/2)\/(-2). Let x = k - -17. Suppose 10*h = x*h. Which is smaller: h or 2\/19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-16)\/(-20)) - -7. Solve 10 = k*g + 3*g, 4*g + 7 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16207.7 + 16207. Which is the nearest to 1? (a) u (b) 6\/13 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -160.19?\nAnswer: 163.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 284 + 80 = -5*k, -5*q + 4*k - 844 = 0. Let z be q\/36 + 1*2\/(-9). Let l = 2 - 0. Put l, z, -0.3 in descending order.\nAnswer: l, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/(-5) - (21\/(-140))\/(84\/(-4816)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11)\/x*x**(-16))\/(x**1)**(-43) assuming x is positive.\nAnswer: x**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/9)\/(16\/(-216))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15*9\/54*1\/20. What is the biggest value in 11, 2, v, 0.051?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -40*m - 135. Let b be i(-4). Sort 7, b, 0, 2 in descending order.\nAnswer: b, 7, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202 - 222110?\nAnswer: -211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 149*j*w - 1889*j + 6*w with respect to w.\nAnswer: 149*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:54 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-80)\/(-15))\/8)\/(7\/(-3)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 2*r**8\/105 - r**4\/6 + 13*r**3\/3 + 12*r**2. Let d(x) be the first derivative of m(x). Differentiate d(t) with respect to t.\nAnswer: 128*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*f = 6, -4*a + 5*f = 4*f - 24. Suppose a = w + w. Factor 0 - 2\/3*d**w - 4\/3*d**2 - 2\/3*d.\nAnswer: -2*d*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 800232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945398 is divided by 2055?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 6*i - 19. Is v(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17104032 and 8712.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4 - 0. Suppose 5*r - 4*g + 6333 = -2377, l*r = g - 6968. Is (-2)\/(-9) - r\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2915607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 18. Do t and -1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/5 + 904*s**4 - 285082*s**3\/5 - 117652*s**2 = 0. Calculate s.\nAnswer: -2, 0, 67, 2195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 330 divided by -6\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12*o**2 + 3*o - 5. Let p be y(6). Let m = p + -229. Let f = 401 - m. List the prime factors of f.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1098580 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f - 1. Let l be t(-1). Which is the second smallest value? (a) l (b) 1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**5*n**2 - 990499*k**2 + 473*k*n**2 + 123*n**2 wrt k?\nAnswer: -40*k**3*n**2 - 1980998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 3488 = 122*j for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 2\/29 (c) -60476\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1098 divided by -6\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123 + 400?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -50. What is the common denominator of (6\/(-9))\/(j\/63) and (-22)\/18 + 1\/(-3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027465522 rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -15 - 4\/9*l - 1\/9*l**2 + 2\/27*l**3. Factor i(q).\nAnswer: 2*(q - 2)*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32788623 divided by -15547\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -22*c + 1\/15*c**6 - 121\/2*c**2 + 0 - 32\/3*c**4 + 0*c**5 + 0*c**3. Differentiate l(d) with respect to d.\nAnswer: 8*d**3 - 256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 + -95\nAnswer: -93.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -875 - -997. What is the greatest common divisor of t and 793?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -83. Suppose -r - 12 = 4*d, d = 7*r - y*r - 24. Calculate the greatest common divisor of 32 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36715361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 180.3 take away 3?\nAnswer: 177.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6345031*-0.1\nAnswer: 634503.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, -4, 2 in ascending order.\nAnswer: -11, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-1 + sqrt(637))*-3 + 2 + 2*sqrt(637)))**2 + -2.\nAnswer: -1120*sqrt(13) + 10590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o**2 + 54979036*o\/9 - 2776720\/9 = 0. Calculate o.\nAnswer: -138836, 5\/99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5435*p - 95. List the prime factors of v(-4).\nAnswer: 3, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 58 = 65, -d + 3*u = -2. Sort 4, -25, d in ascending order.\nAnswer: -25, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001159387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (31 - 29)\/(521\/2). Let g = -4721\/4168 + c. Let t = -2\/487 + 5397\/9740. Calculate the common denominator of t and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 5:34 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.269 - 415.731. Let k = p - -414.552. What is k rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10284 - 41008 = -5*h + 4*m, h + m - 6152 = 0. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, g: 1, j: 5}. Give prob of picking 1 y and 1 g.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/7 + 2*b**4\/7 - 22*b**3\/7 - 18*b**2\/7 + 36*b\/7 = 0.\nAnswer: -3, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 202*h**2 - 60*h - 23. What is the tens digit of n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43565192 to the power of 1\/3, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = d - 1. Suppose 5*a - d = 10. Suppose 0 = -3*s - 4 - 2, a*s = 3*w - 18. Solve -w*n - 5 = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 5*k**2 - 3*k + 7. Let b be s(-4). Suppose -5*m - 2*a - 3*a = -60, 4*a = -b*m + 35. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 s when three letters picked without replacement from gsgssgsrsrgrsssgsurs?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5\/d)\/d)**(-2\/27)*(d\/(d*d**3))**19 assuming d is positive.\nAnswer: d**(-515\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.29289 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/5)*x)**45)**(19\/4) assuming x is positive.\nAnswer: x**171","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -965\/14 - -69. Which is the smallest value? (a) -0.1 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 15*r + 152. Let b be o(-10). Solve -3*w = j - 12, -w + j = -b*j - 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 4. Let k(z) be the first derivative of -z**2\/2 + 3*z - 233. Give 3*k(n) - 2*l(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a + g + 17 = -39*a - 5, -2*a - 8*g - 20 = 0 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*2\/4)\/((-5907)\/31504).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 13 = -6*g. Suppose -g*t = 4*s - 95, -5*t + 32 = -3*s + 125. Let b = 76 - s. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/(-12)*(-15)\/1. Calculate the greatest common factor of b and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1991.319 + -1895.3129. Let t = i - 96. Round t to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (8 - 1) - 4 - -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -2\/35, 46, -2, 7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**3 + 348*m**2 + 692*m + 352. Let g(n) = -6*n**3 + 697*n**2 + 1384*n + 702. Let y(z) = 4*g(z) - 7*o(z). Let y(r) = 0. What is r?\nAnswer: -86, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 15*h + 1. Let g be j(15). What is the units digit of ((-2)\/6 + g)\/((-22)\/(-2145))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b + 5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x + 128 + 2*x**2 + 0*x**3 + 2*x**2 - 133 + 2*x**3. Let n(a) = a + 1. Determine -6*n(l) - w(l).\nAnswer: -2*l**3 - 4*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13144866 and 211218?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 21*u**2 - u - 1. Let p be s(-1). Suppose -q - p = b - 4*b, -4*b - 5*q + 28 = 0. Calculate the highest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v - 4. Let n(u) = -42*u + 17. Let a(i) = 4*n(i) + 18*x(i). Suppose -3*p + 3*c + 2*c + 19 = 0, -2*p + 10 = -2*c. Calculate a(p).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*z + 2*c*v*z - 110993*c*z - 93*v*z - 56*v + 3*z - 2 wrt c.\nAnswer: 2*c*z + 2*v*z - 110993*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 - -1 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1963.294 to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58 - -34) + -3 - -28) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26078844361 and -4867.\nAnswer: 26078839494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxggdgxdddx. Give prob of picking 1 g and 2 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(-1 + -3 + -4*(1 + (sqrt(76) - (-1 + sqrt(76)))))*3)**2.\nAnswer: -10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 + u. Let l be (-28)\/4 + 4 + 2. Let g be v(l). What is the closest to 1 in 0.1, -1\/5, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = -5*s. Suppose 4*n = 4*q - 28, 21 = -4*n + s. What is the units digit of q\/(-4) - (-124)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 8:36 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2. Let o(j) be the second derivative of 4\/3*j**3 + 0 - 2*j + 0*j**2. Give g(o(k)).\nAnswer: 128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0293 + 5.2227. Round t to 1 decimal place.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*v - 11 = 0, -x + 0*v + 7 = 2*v. Factor 16 + 4*w - 69*w**2 + 17*w**2 + 20*w**x + 12*w.\nAnswer: 4*(w - 2)*(w - 1)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 34. Let o = 463\/1085 - -2\/1085. Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 21 = 3*p, -1375*p + 2*v - 20 = -1371*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1899*k - 878. Is s(-23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 3*m - 8. Let j be s(5). Solve j*f - 1 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d10 (base 16) in base 6?\nAnswer: -231200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7938609 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 z(l) = -8*l - 13. Let s be z(-2). Is (5\/(-3))\/(s\/(-747)) - 4 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 10*p - 7*p. Let v be (-4)\/6 + (-3 - p)\/6. Which is the closest to v? (a) 7\/4 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3822167 litres?\nAnswer: 382.2167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**2 + 2*i + 1. Let m(t) = t**2 + 5*t + 5. Suppose 0 = -6*c - 0*c + 18. Suppose 0 = 5*n - 2*p + 6 + 2, 5*p + c = n. Let h be m(n). Calculate z(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -3*q + 2, 87*q - 86*q = -2*x + 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 15*s + 9. What is q(-3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -12. Suppose 2*i - 5*a = 21, -2*a = -i - 2*i + 4. Sort i, 2, s in decreasing order.\nAnswer: 2, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*((18 - -1) + -1). Let z be (-4)\/b + 464\/144. Let n be (z + (-4)\/3)*6. Calculate the highest common factor of 20 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75 - 48) + -9 + (-5 - (-32 + -5))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = 4*v, v + 4*v - 20 = 0. Suppose g*o - 80 = -0. Suppose 4*u - 5 = 7. Solve u*h - 7*h + o = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05539 rounded to 3 decimal places?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -314?\nAnswer: 313.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.112328 to 3 decimal places.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006 less than -22667.18589?\nAnswer: -22667.19189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779953792.\nAnswer: 2, 6093389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -230072000 to the nearest one million.\nAnswer: -230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -596, -597, -598, -599, -600, -601?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 19*k**8\/336 - 19*k**4\/24 - 12*k**2. What is the second derivative of f(n) wrt n?\nAnswer: 380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + -70.95. Let k = j - -70.8. Suppose -2*n + 6*n + 4 = 0. Which is the closest to k? (a) -1\/5 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 21*c**2 - 10*c - 1. Let s be b(-10). Let p(x) = 3*x**3 + 3*x**2 - 3*x. Let r(y) = y**3 - y. Give s*p(k) + 2*r(k).\nAnswer: -k**3 - 3*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -10. Let h(d) = -6 - 9 - 24*d + 40*d + v. Calculate the lowest common multiple of 6 and h(3).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5234298?\nAnswer: 2, 3, 872383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/143 (b) -2\/5 (c) 0.049 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -424 + 1624. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 83*t**6\/6 - t**4\/12 - 3*t**3 + 12*t. What is the third derivative of h(i) wrt i?\nAnswer: 9960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = x, -2 - 10 = -2*x - 2*o. Factor -7\/5*z**2 - 1\/5 - z - 3\/5*z**x.\nAnswer: -(z + 1)**2*(3*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -5 + -6 - (5 + -4) - 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/5, 3\/8, 0.1, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 6*i**2 - 2*i + 8. Determine m(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {f: 7, b: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 2. Let c be s(2). Suppose c = 5*z + j - 28, -4*z = -z + 5*j - 30. Solve 28 = z*r + 2*l - 4*l, -r - l = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 284?\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 16. Suppose -2*v = v - d. Round v to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -2.9374.\nAnswer: -2.6374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-10)\/64) - 2. Let w = 38 + -34. Suppose a + 18 = w*j. Calculate the remainder when 45 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 49380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 7*v**2 - 6*v + 4. Let p be y(6). Suppose 3*a + 0*a + 4*d = 6, -p = -2*a - d. Solve a*c**2 - 7*c**2 + 24*c + c**2 - 36 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/2721 - 2675\/62583. What is the nearest to 0.1 in x, -2\/7, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(13) + -4 + sqrt(13) + (1*sqrt(91) + sqrt(91))\/sqrt(7) + sqrt(13) + ((sqrt(91) + (-2*-2*sqrt(91) - sqrt(91)))\/(sqrt(112)\/sqrt(4)))**2.\nAnswer: 5*sqrt(13) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u**2 - 9*u + 14. Let z be g(5). Let v = 396 - z. What are the prime factors of v?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 <= 0.528934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 239 - 241. Which is the smallest value? (a) -0.3 (b) -4\/3 (c) 2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 3*c + 113 + 7*c**2 - 112 - 5*c. Is w(5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4868*-27\nAnswer: -131436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 106 = 5*l + 26, l = c + 16. Let s(h) = -h**2 + 6*h + 2 - 2. Let n be s(5). Solve n*w + 4 = -l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37, 33, -17, -113, -255?\n\"Answer: -23*n**2 + 65*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229781*i**3 - 459557*i**3 + 229772*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8705*g**3 - 8*g + 2080 wrt g.\nAnswer: -52230*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 431\/35?\nAnswer: 431\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 3*z + 0*z**2 + 2\/3*z**3 + 0. Let o(q) = -29*q**2 + 13. Let v(t) = 13*t**2 - 6. Let y(l) = 6*o(l) + 13*v(l). Give k(y(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 29 - (-2)\/3*-6. Let l = 16 - p. Let o = 19 - l. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -40*q**3 + 8*q**2 - 22*q - 86. What is u(-3)?\nAnswer: 1132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 0 + t**4 + 6*t - 1\/6*t**3 + 0*t**2. Calculate l(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r. Let d(m) = 0*m - 3*m - m + 3*m. Let o be (-2)\/(-10) - 121\/55. Suppose 64 = 4*s + 4*j, 24 = 2*s - 3*j + j. Give o*b(i) + s*d(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 21*l - 295057. Let k(c) = 2*c**2. What is n(k(j))?\nAnswer: 4*j**4 - 42*j**2 - 295057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52129, 52131, 52135, 52141?\n\"Answer: w**2 - w + 52129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = 5*f - 11*f. Let b = 70 - f. Solve 2*d = -3*r - 2*r + b, 0 = 4*d - r - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11257, -175 in decreasing order.\nAnswer: 11257, -5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30127?\nAnswer: 47, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 18. Let o(w) = 2*w**2 + 24. Let c(l) = -4*k(l) + 3*o(l). Let v(x) = 6*x + 9. What is c(v(y))?\nAnswer: 72*y**2 + 216*y + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 10 - 10)*(1 + 3 - 6) + (0 - 6 + 4)*(-z + 3*z + 0*z) + z - z + z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 27 = -6*z - 3*v, 48 = 2*z - 4*v. Let n(y) = -3*y + 55. Does 2 divide n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y = 52*y + 84. List the prime factors of (-3)\/15 - (y - (-18402)\/(-10)).\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8958 + -143379\/16. Find the common denominator of 79\/12 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 - 61*j - 143. Let b be o(-28). Let d be (b\/4)\/(37\/(-148)). Solve -d*c - 5*k = 1, 0 = -c - 5*k - 4 - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28589, -57261, -85933, -114605?\n\"Answer: -28672*u + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = g + g. Suppose -3*s = -5*c + 19, 2*s - s = g*c - 23. What is the second derivative of 23*r + 6*r**c - 8*r + 2*r**4 - 2*r**4 wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 12 = -4*l, 407*l + 9 = 410*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -34\/5*u**5 + 0*u**4 + 0*u**3 + 174 + 1\/3*u**6 - 33*u**2 + 0*u. What is the second derivative of c(z) wrt z?\nAnswer: 40*z**3 - 408*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/8*85538\/(-33). Let q = f + -5830. Let s = 869 + -5113\/6. What is the common denominator of q and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m - 4*m**2 + 4*m + (4*m - m - m)*(-m + 1 - 1) - 1 - 2*m**2 + 1 + 7*m + 57 - 7*m**2 + 47 - 102.\nAnswer: -15*m**2 + 7*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 6*v + 23. Suppose -r - 2*w - 250 = -v*r, w - 505 = -4*r. Calculate the remainder when r is divided by 48.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*p - 231*p + 478*p.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 100 - 56 = 0. What is the remainder when 175 is divided by h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*f*w**4 - 2*f*w - 2*f - 8*w**5 + 82*w wrt w?\nAnswer: 204*f*w**2 - 160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -1.4. Let t = 9 + -44\/5. Which is the closest to -0.1? (a) 5 (b) d (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 319*q**2. Let x(m) = 3*m - 4. Let p(k) = -1. Let t(b) = -4*p(b) + x(b). Determine z(t(j)).\nAnswer: 2871*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**3 - 2*r**2 + 6*r**2 + 6*r**3.\nAnswer: -8*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60322820 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(1100) + 0 + sqrt(1100) + 3 + -2*sqrt(1100))*1)**2*2 + 3)*6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/19680 and -109\/32800?\nAnswer: 98400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 + 5*b - 29. Let x be v(-5). Calculate the greatest common factor of 147 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15421, 15381, 15279, 15085, 14769, 14301?\nAnswer: 13651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1055 (b) -5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:04 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**2 - 15*y + 48. Let w(o) = 5*o**2 + 13*o - 47. Let z(r) = -6*c(r) - 7*w(r). Determine z(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + l - 2*l)*(-4 + 2 + 3)*(-2*l**2 + 0*l**2 - l**2) + (-2*l - 4 + 4)*(-4*l**2 + 3*l**2 + 2*l**2) to m*l**3 + s*l + v*l**2 + b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -2\/11, 6463928?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39*102\/3315)\/((-4)\/180)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + f. Let r(c) = -7*c**2 - 3*c - 3. Let o(s) = -10*s**2 - 4*s - 4. Let k(p) = -3*o(p) + 4*r(p). Determine d(k(w)).\nAnswer: 16*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 - 9bc5?\nAnswer: -9bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267\/2 - -131. What is the smallest value in z, -0.3, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/(136\/9180). Suppose 2*l - 53 = -o. Solve -2*f + 6 = 2*a, 4*a - 2*a = 3*f - l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 326 - 322. Factor 376*f + 15*f**2 - 576 - 320*f**2 + 680*f - 88*f**3 - 83*f**2 - h*f**4.\nAnswer: -4*(f - 1)**2*(f + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6332, -23962, -52926, -93230, -144880, -207882, -282242?\n\"Answer: -n**3 - 5661*n**2 - 640*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*y = 448, 0*y = f + 4*y - 152. Suppose 4*u - x = f, -4*x - 12 - 25 = -u. Suppose 0 = -3*p + 205 - u. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 355258.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14 - 7.14. Let x = 2 + r. What is the biggest value in 0, -1\/2, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**17)**(3\/4)*d**(-22\/7)\/(d\/(d*d**(1\/24))*d*d) assuming d is positive.\nAnswer: d**(1285\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 52 (b) 9 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -2, 3, 0, -3, -15 in decreasing order.\nAnswer: 21, 3, 0, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**34\/(((r\/(r\/(r\/(r\/r**(-2\/11)))))\/r)\/r*r**(1\/4)))\/(((r\/r**(-1))\/r)**17)**(4\/15) assuming r is positive.\nAnswer: r**(-24157\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 55\/22*(-12)\/45. Which is the smallest value? (a) -0.07 (b) -0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404104401 (base 5) to base 13.\nAnswer: -450458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w + 3*w - 249*w**3 + 253*w**3 - 3*w**2 - 5*w. Let o be j(2). Let b = -2 + o. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/28 - (-6)\/8)\/(1\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -800*j**4 + 38037*j - 38037*j - 3*j**4 + 4*j**4 + j**4 - 2*j**4 - 3*j**4 + 6*j**4 + (2*j - 3*j - j)*(j**2 + j**3 - j**2).\nAnswer: -799*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55.5936 - -0.0064. Round p to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 5\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 + -49. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:15 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 3*w + 2*w)*(3 + 5 - 6) + 4963*w - 9576*w + 5055*w to s*w + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3\/4 - 5769840*l**2 - 44388048421431*l\/4 + 44388094580163\/2 = 0. Calculate l.\nAnswer: -3846561, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 782.5?\nAnswer: -2347.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123579135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7.94 (b) -0.6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*a**2 - a - 1 + 3 - 42*a**4 + 2*a + 19*a**2 as k*a**4 + c + w*a + q*a**3 + n*a**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**6\/480 - 33*d**5\/80 - 355*d**4\/32 - 2725*d**3\/24 - d**2 + 23*d - 24. Factor p(j).\nAnswer: (j - 109)*(j + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*w**5 + 16*w**4 - 11*w**2 + 400*w + 34 wrt w.\nAnswer: -120*w**3 + 192*w**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010111000010101001110 (base 2) in base 14?\nAnswer: 5435ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 11*u - 42 = 3*s - 10, 12*u - 52 = -2*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 7*w + 1. Let u(i) = -i**2 - 12*i + 3. Let s be u(-11). Let q be (-2*(-5 + 3))\/s. Is q at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/56 + (-96)\/(-21). Suppose 18 = -f - o*s, -2*s = -f + 19 - 7. Solve -f*n + 14 = -9*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 0*w)*(12867 - 69*w**3 - 12867).\nAnswer: 138*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(8)*-3)**2 + sqrt(968) + 1 + sqrt(968).\nAnswer: 44*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143 divided by -4?\nAnswer: 1143\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98020.\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 3*o - 2. Let g be i(-3). Let t be 1012\/4 + (1 - 1). Let w be 6\/4 - t\/(-2). Calculate the greatest common factor of w and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/180 + (-11037)\/(-15). Let y = t - 693. Which is smaller: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (154 + 20 + 34)*(-18*n**2 + 2*n**2 + 3*n**2) to j*n**2 + q*n + f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(33)\/sqrt(3))**2 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*g - 2*g**2 + 2*g**2 + 232*g**3 - 234*g**3 in the form r + m*g**3 + d*g + j*g**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44248 - -92563. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/9594 and 47\/328.\nAnswer: 38376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 211, 449, 687, 925, 1163, 1401?\n\"Answer: 238*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 2, -114, -5.\nAnswer: -114, -5, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2114030 (base 5) to base 6\nAnswer: -432231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 56.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 24*w - 48. Calculate h(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14720 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 7, t: 4, p: 3, c: 2, i: 1}. Give prob of picking 1 p, 1 c, and 1 t.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - a = 5 - 0, 0 = -5*m - 3*a + 13. Let f(q) = -5*q**3 + 2*q**2 + 2. Let w be f(m). Calculate the common denominator of -71\/74 and (-22)\/w*(-132)\/16.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9, -19, 1.7597?\nAnswer: 1.7597","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001932144 to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 6:06 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2819 - -2816. Let v = 2\/33 - -5\/99. Which is the closest to 2\/5? (a) k (b) v (c) 2\/7 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-270) + 1044\/3480\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593727*y + 7 = -593716*y + 62 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4409, -5, 0 in ascending order.\nAnswer: -5, 0, 1, 4409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 - 29*z**2 - 65*z - 3. Let f be a(-7). Let r be (-4)\/(-14) + 54\/7. Let b = r + 16. What is the highest common factor of f and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t = 2. Let c(k) = 3*k**2 + 4*k**t + 2*k**2 - k**2. Let l(j) = 2*j. What is l(c(g))?\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/6475712 and -7\/972.\nAnswer: 1573598016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -196*c**6\/15 + c**3\/6 - 17*c**2 + 257*c. Find the second derivative of t(q) wrt q.\nAnswer: -4704*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571404 is divided by 22851.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*b = -2*y + 37*b - 10, -2 = -2*y - 5*b for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 9*p + 90. Calculate h(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpp when three letters picked without replacement from tpttitiitippitpistp.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + 43 + (-1 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154063279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 7*c - 371. Let z(w) = 186*w + 6712. Let s be z(-36). Calculate d(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 3. Calculate the greatest common divisor of 208 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/2 + (-6)\/10. Let u = 0.275 - -0.003. Let x = u + 0.722. Which is the closest to x? (a) g (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000450306 to seven dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 4*q + 1. Let g be (4\/5)\/(3\/(195\/1)). Let v = -47 + g. Calculate l(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + 1 + -4.\nAnswer: -3 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426923977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Suppose 0 = 5*q + 3*x - 0*x - o, 2*q + x = 1. Suppose q = -2*r - t - 1, 3*t = -5*r + t. Solve 3*s + r = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2 - 613663*l + 7363812 = 0.\nAnswer: 12, 613651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*p\/(p*p**(4\/7)\/p))\/p*p*p)\/p)\/p)\/(p*(p\/p**(1\/4))\/p))**(1\/47) assuming p is positive.\nAnswer: p**(-9\/1316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m**2 + 2*m - 1. Let p be y(-1). Suppose 0 = -3*d - p*d + 49. Let u(k) = -k**3 + 6*k**2 + 5*k + 7. Calculate u(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -0.041, -2, -8, -2\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14*q**3 - 2*q**2 + 2*q - 1. Suppose -u = 3*u - n - 91, 0 = 5*u + 5*n - 95. Calculate the remainder when u is divided by m(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-18) + (2 - 80\/45). Let x(p) = -p**2 + 8*p - 5. Let n be x(7). Suppose -4*o - 3 = -2*l - 11, n*l - o = t. Solve l*h - h = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -86, -90, -102, -128, -174, -246, -350, -492?\n\"Answer: -d**3 + 2*d**2 - 3*d - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/2039 and -131\/6.\nAnswer: 12234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - -923. Let a = l + -934. Solve a*c = 15*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/((22\/(-4) + 6)*2). Solve -2*k**4 + 4\/3*k**3 - 8\/9 - 8\/9*k + 22\/9*k**t = 0 for k.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -31*d**6\/6 + 34*d**5\/5 - 325*d**3 - 94. What is the third derivative of l(o) wrt o?\nAnswer: -1860*o**2 + 816*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -4480669?\nAnswer: 4480665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c - 7. Let z(q) = -2*q - 6. Let g = -16 + 11. Let a(w) = g*s(w) + 6*z(w). Let h = 3 - 2. Calculate a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away -51910781?\nAnswer: 51910765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/122454?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 6*r - 4590 = 11*r + 23*r for r.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + 115. Calculate the highest common factor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12496 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 4. Let u = 0 + 3. Let r be h(u). Suppose 0*x = r*x - 10. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24945 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 24 = -86. Suppose -2*c + 95 = -l. Let t = c + 54. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5)*1*4 - (sqrt(125) + (0 + sqrt(125))**2)).\nAnswer: sqrt(5) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*57\/(-330) - (-2)\/((-20)\/6)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -194*f**5 - 2*f**4*x - 956*f**3*x - 5*f**2*x + 290*f**2 + 6*f*x + 21*x - 3 wrt f.\nAnswer: -11640*f**2 - 48*f*x - 5736*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + s - 13 = 4*b, 2*s - 17 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, p: 4, r: 1}. Give prob of sequence aa.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2 (b) -3 (c) 1\/11 (d) -5 (e) -0.0977\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000200141616 to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 215258824*g - 294153410?\nAnswer: 215258824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = c + c - 15, 2*c + 6 = -2*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*((-36)\/(-6) + -6). Suppose 4*t + 2*n - 30 - 8 = v, -3*t - 5*n + 11 = 0. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 3:38 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8469846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 12:34 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -13*u - 30. Let z(v) = -2*v**3 - 10*v**2 - 6*v + 12. Let t be z(u). Calculate the greatest common divisor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + q - 1. Let v(k) = 209*k**2 + 5. Let n(z) = 3*f(z) + v(z). Is n(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -24, -62, -114?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 3) + 1 - -21. Is 2 a factor of 16\/r - 64\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + (4 + sqrt(300))**2 + sqrt(300) + sqrt(300) + -3 + -1.\nAnswer: 100*sqrt(3) + 317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from dfddfffdfffffdffddf?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxgx when four letters picked without replacement from {g: 4, f: 1, x: 5, b: 1}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -887933 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2370 divided by 6\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 83 - 83 - 16*v + (-10 - 1 + 14)*(-30*v + 61*v - 30*v + 2) in the form o + h*v and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, -135\/7, -5, -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:20 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w. Let i(j) = 58899*j + 2. Give d(i(y)).\nAnswer: 471192*y + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 c, and 1 l when three letters picked without replacement from rrrcrrcrvccsrlr?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/36*(-2*40\/14)\/(-2)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 173092620*h - 254814547?\nAnswer: 173092620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*c + 11 - 17 + 8)*(165 - 165 + 26*c).\nAnswer: -1508*c**2 + 52*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 12:26 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b + 18*b - 23*b)*(-324*b**4 + 14 + 323*b**4 - 57).\nAnswer: -4*b**5 - 172*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 117.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g*h**2*j**2 + 208*g*h**2 + 7*g*h*j**2 + 7*g*h - 2*g*j**2 + 3*g wrt h?\nAnswer: -8*g*j**2 + 416*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23783.2391 + -23785. Round l to two decimal places.\nAnswer: -1.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 - 2*d**5 - 3*d**5 + (6*d**5 - d**5 + 0*d**5)*(0 + 4 - 3 + (0 + 2 + 0)*(2 - 2 + 2)).\nAnswer: 22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 175622734.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38745 - -75?\nAnswer: -38660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 72.7. Which is the biggest value? (a) -3 (b) 0.12 (c) -0.5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 + 2*v**2 - v**2 + (2*v - 2*v + 2*v)*(v + 0 + 0) - v + 2*v**2 + v - 2*v**2 + v + 2*v**2 - v**2 as t*v + i + z*v**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r = -3*d + 8, -4*d - 29 = -3*r. Suppose -2 = -3*b + r. What is the greatest common divisor of b and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -31, -43?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.2 - 0.8. What is the closest to -0.2 in l, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 393687307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 727380*t - 74898922.\nAnswer: -2*(t - 363587)*(t - 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 0 + (13 + -1)\/1. What is the highest common factor of x and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 211*m - 44302 = -210*m, o + m = 8858. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 19 = -r - 5, -2*s - 22 = -5*r. Let z(d) = -3*d + 2*d + r*d. Let k(t) = 415*t**2 - 271*t**2 - 152*t**2. Calculate z(k(o)).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101 + 465*o + 73 + 18 - 9 - 295*o wrt o.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1445160606 by 282.\nAnswer: -5124683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r, 5*w = 2*r + 6 + 77. Calculate the remainder when 81 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, z: 2, w: 3, a: 1, o: 5}. What is prob of picking 2 o and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*8\/66. Let m = -26672\/7 + 3810. Which is the closest to 0? (a) -3\/7 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*-3)\/2 + 861\/369. Let v(j) = j**2 - 2*j - 2. Let x be v(3). Which is the fourth smallest value? (a) x (b) t (c) 0.06 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 3475 (c) -1\/3 (d) 5 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 105, 16, 2, -6 in increasing order.\nAnswer: -6, 2, 3, 4, 16, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*d + 107, d = -0*d - s - 53. Let t be 4\/(-14) + d\/14. What is the common denominator of (-8)\/t - 53\/6 and 91\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 - l**2 - l**3)*(-5 + 3 + 0) + (-6*l**2 + 2*l**2 + 3*l**2)*(4*l - 6*l + 0*l)*(3 - 2 + 0)*(-3 - 2 + 3) to v + m*l**3 + s*l**2 + n*l and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5\/(l\/(l\/(l*l\/l**(4\/7))))*l**(2\/7)\/l**2 assuming l is positive.\nAnswer: l**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 15 + (11 - (8 - -9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 8*l - 7. Let f be c(-7). Suppose -5*w = 3 + 7. Let g = w + 2. Solve -y - 3 = b - f*y, 4*b - 2*y + 6 = g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/223 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x - 13686*x**2 - 7*x + 32*x - 12*x.\nAnswer: -13686*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21002 to 3 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -313280 and 0.05.\nAnswer: -15664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 967233?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 17. Let p be g(14). Suppose -10 = -5*x + p*x. What is the highest common factor of 10 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.984333366182 - -821543.384336366182. Let k = 821541 - a. Let f = 0.4 + k. What is f rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 206\/249 - -1\/166. Is 51 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 417618 by 69603.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57133*h**4 - 903*h**2 + 2 wrt h?\nAnswer: 1371192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4253509, 8507018, 12760535, 17014060, 21267593, 25521134, 29774683?\nAnswer: 34028240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/7356639 and 14\/339.\nAnswer: 7356639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(12) - sqrt(432)*4).\nAnswer: -sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11174 or 9125?\nAnswer: 9125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*s - 12*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 316\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 minus 5151?\nAnswer: -5151.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**2. Let p(h) = h + 1. Let q(s) = 91*s + 154. Let k(a) = 10*a + 17. Let i(j) = 28*k(j) - 3*q(j). Let l(g) = -i(g) + 14*p(g). What is u(l(d))?\nAnswer: -294*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9 - 1 + v**2 + 0*v**2 + 8*v - 20. Calculate the lowest common multiple of 8 and f(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009443403 rounded to six decimal places?\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) + (-90)\/(-12). Let i = 9 - r. Calculate the least common multiple of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 221. Let b(w) = -w**2 + f*w - 114*w. Let c(n) be the first derivative of -8*n**2 + 4. Calculate b(c(l)).\nAnswer: -256*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, r: 3, v: 7, f: 2}. What is prob of picking 1 t, 1 v, and 2 r?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106500582 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22057 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**2 - 1\/180*g**5 + 0*g + 0*g**3 + 1\/36*g**4 + 0. Let m(w) = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -5 (c) -15\/953 (d) 1 (e) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o**2 - 5. What is v(2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from iiirnurriniriif.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 6*l**2 + 4*l + 4. Let q be b(5). Let f = 463\/8 - q. Find the common denominator of 93\/4 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -87. Suppose 5*y = p + 78, -4*y + 3*p - p + 66 = 0. Calculate the remainder when g is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from zazavzaalala?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17 + -7.17. Let l = -5 - f. Let d = -448.5 - -448. Sort d, l, -0.06 in ascending order.\nAnswer: d, -0.06, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238576 is divided by 34081?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32 + 21 + 729\/(-12) - -3\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -898, -1709, -2520, -3331?\nAnswer: -4142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - 6*l**2 + 6*l + 1. Is o(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.976286 and -0.11.\nAnswer: 2.866286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -12. Let x be z\/6*24\/9. Factor -3*s**2 - x - s**4 - 3*s**3 - s + 4.\nAnswer: -s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42672 and 105840?\nAnswer: 13441680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i. Let s(p) = -36*p**2 - 42*p + 42. Let f(u) = u**2 + u - 1. Let k(j) = 210*f(j) + 5*s(j). What is l(k(y))?\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 461262 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 0*a - 172 - 2*a + 166. Let j(r) = 2. Let p(y) = 1. Let t(c) = -6*j(c) + 13*p(c). Determine -6*t(h) - v(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*t + 18, 4*t - u = -0*u - 49. Let j(y) = -7*y + 15. Let w(l) = 4*l - 8. Give t*w(q) - 6*j(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u + 19. Suppose 1 = b - 7. Let p be f(b). Find the third derivative of 7*z**2 - 12*z**2 + 11*z**3 + 2*z**3 + 8*z**p wrt z.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99) - sqrt(11))*-4.\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 13*g + 15. Calculate c(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 416*l - 23231. Determine p(53).\nAnswer: 1626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46856119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187038367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.94 - 4. Let n = g + 0.16. Let x = -2 - -1. What is the closest to n in 2, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.13, -0.5, -1\/3, 4086.79?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*((sqrt(500) + -1)*3 + 2 + (sqrt(500) - sqrt(500)*-1 - sqrt(500)))*-4)**2.\nAnswer: -20480*sqrt(5) + 2048256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from gucqw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7. Let g(s) = -s**3 - 8*s**2 - 10*s + 6. Let m be g(-6). Let j(i) = i + 8. Let l(v) = m*j(v) + 7*z(v). What are the prime factors of l(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + a - 4*a = -30, 0 = -2*p - 5*a + 2. Let w(h) = -4*h**2 - 5*h + 1. Let n(g) = 7*g**2 + 11*g - 3. Let d(m) = 3*n(m) + 5*w(m). Is d(p) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 243.61 - 245. Let r = 0.02 - b. Let c = -1.4 + r. Round c to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1133 + -654. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 80 - 136)*(4*g**3 + g**3 - 6*g**3)*(-4*g + g + g - 3 - 2*g + 3 + (-3 + 3 + 1)*(0 + g + 0) - g + 0*g - g + g + g - 3*g).\nAnswer: -1074*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 2*f**2 + 2*f + 28. Let s be r(0). What is the second derivative of -s*q - q**2 + 4*q**4 - 6*q**2 + 6*q**2 wrt q?\nAnswer: 48*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 21840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(44)*1 + 2 - -1*(6*sqrt(66)\/sqrt(24))**2.\nAnswer: 2*sqrt(11) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 36. Let s = 163250 - 163155. What is the remainder when s is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*g + 0*g = -294, 2*d = 4*g + 120. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22464\/256)\/(432\/128)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 327.2 - 347. Round w to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59\/4 of a millennium?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*162\/810 + (-2 - 7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1224 and 61\/1122.\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**3*v*z + 2*a**3*z**2 - 3*a**3*z - a**2*z**3 + 2715*a**2*z - 13*a*v**2*z**3 - 2289*v**2 wrt v?\nAnswer: a**3*z - 26*a*v*z**3 - 4578*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(84)\/sqrt(4) - sqrt(21))*1 + sqrt(1701)*2)\/((2*sqrt(9072))\/(sqrt(9) + -3*sqrt(9)*-1)))**2.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726029 is divided by 3783.\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**4\/6 + 29*k**3\/6 + 9*k**2\/2 + 23*k - 22. Let h(r) be the first derivative of d(r). What is the tens digit of h(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1369929 and -4.\nAnswer: -3.8630071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -109, -203, -295, -385, -473, -559, -643?\n\"Answer: i**2 - 97*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8263 and -0.01?\nAnswer: 82.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/102 and 179\/30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*i + 16 + 54, -v = -5*i - 55. Suppose 75 = 31*k - v*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 52?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 14, g: 5}. Give prob of picking 3 q and 1 g.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*i + 50. Let f = 6 - i. Let p(b) = b**3 + 5*b**2 + 4*b + 3. What is p(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 9*a**4\/5 + 24054036*a**3\/5 - 8018018*a**2\/5 - 13363356*a\/5 - 2672671\/5 = 0.\nAnswer: -2672671, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Let r = -3.2 + 1. Let h = r + u. Put -0.3, -0.1, h in ascending order.\nAnswer: -0.3, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/2*(-3)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1413 - 5643\/4. Let h(a) be the second derivative of -27\/8*a**2 + 1\/8*a**5 + 0 + v*a**3 - 9*a - 1\/120*a**6 - 3\/4*a**4. Find f such that h(f) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005859 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p. Let c(u) = 4*u + 17952. Give k(c(g)).\nAnswer: -52*g - 233376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -268310*h**2 + 330249*h wrt h?\nAnswer: -536620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -2150\nAnswer: 2150.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 56 = 424. Find the first derivative of z*g**3 - 291 + 73*g**3 - 19*g**3 - 20*g**3 + 38*g**3 wrt g.\nAnswer: 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*l**2 + 5*l + 7*l**3 - 5*l + 0*l wrt l.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -262\/9 - -29. Let n = 11 - 6. What is the closest to -1 in n, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 2*f**3 - f + 3 + f**3 - 2*f**3 - 4856*f + 4854*f + (4*f**2 + 2*f**2 - 3*f**2)*(f + f + 0*f).\nAnswer: 3*f**3 - 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 11, 3, -21, -67, -141, -249, -397?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3574476 divided by -2484?\nAnswer: -1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r - 50. What is the least common multiple of 2 and c(19)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 5. Suppose -f = d*w, -14 = -4*f + 2*w + 74. Is 13 a factor of (-232)\/f*(-5)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 117835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0447488116 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**2 + 5655*y - 1532088 = 0.\nAnswer: 328, 1557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 5.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/1188 and -107\/132?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5699985 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16663352 and 1727?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (4\/2 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-105) + (626\/(-42) - 1). Let r be 2\/u*(86 - 88). Let z be 2\/(-7) - 60\/(-112). Which is the closest to r? (a) 3 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 64*y**2 + 633*y + 45370. What is q(-65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - 1.5. Let z = w - -1.9. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*m*s*v - 2113*a**2*m*v + a*m*s - 11*m*v - 2*m - 2*s*v - 227*v with respect to a.\nAnswer: -6*a*m*s*v - 4226*a*m*v + m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1298 and 590.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/(-30) + 141\/16 and -73\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 7 - 2*t**2 + 5 - 7 + 15.\nAnswer: -2*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -x - 0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 11*r**2 + 11*r. Is m(-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77 - 8a?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*p**4 - 4030*p**3 - 2*p**2 - 82067*p - 2?\nAnswer: -2232*p - 24180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*o = 4*n - 72, -21 = -5*o - n - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.699 and 56.\nAnswer: 55.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6262 + -6263. Put -2\/25, 0.3, -82, i in decreasing order.\nAnswer: 0.3, -2\/25, i, -82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/(-72))\/(11 - 5\/((-405)\/(-873))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 227*v + 3865. Let x be o(-17). What is the greatest common divisor of 42 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:09 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 - 2*n + 3. Let g be t(2). Solve -3*u + 3 - g = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 4*k**2 - 4. Let a be r(4). Let u = -2 - a. Let v(y) = -y**2 - 3*y**u + 3*y**2. Let h(d) = d. What is h(v(q))?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 8*k + 20. Let l be ((-8)\/(-3))\/((-1)\/3). Let i = l + 1. What is the units digit of a(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 = 1133*a - 1097*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2) + -1 + 96852 + -1. Suppose 7*x - 31109 = v. Suppose 54905 = -3*h - 7*n + 6*n, -h + 4*n - x = 0. What is h rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -44. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - k**3 - 2*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (16 - (-10 - -57)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (24\/(-14))\/((-360)\/1298640)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence css when three letters picked without replacement from {c: 1, s: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -16*h**3 + h**2 + 31*h + 51. Let w(m) = 3*m**3 - 6*m - 10. Suppose 0 = -2*d - 60 + 16. Let f(l) = d*w(l) - 4*b(l). Determine t, given that f(t) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 103*c**5\/20 - 2*c**4\/3 - c**3\/3 + 1321*c**2\/2 - 4571*c. Find the second derivative of s(h) wrt h.\nAnswer: 618*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14286.99 - -14287. Which is the smallest value? (a) -118 (b) d (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -312*h - 944. Calculate v(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -55*f - 329. Let p be r(-6). Let u be 3 - (3 + 18\/(-15)). Do p and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(75) - ((-1 + sqrt(75))*-6 - sqrt(75)) - (-3 + (sqrt(75) + 1 - sqrt(75))))**2).\nAnswer: -1920*sqrt(3) + 28866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - (6 - (-3)\/(-3) - (-368)\/(-80)). What is the fourth smallest value in 0.4, -3\/2, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 805 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10450 and 163020?\nAnswer: 815100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Let f = h + 0.1. What is f rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 381942*d - 3437472. Determine v(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37703932 and 118.\nAnswer: -37703814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1105738864339 + 0.2.\nAnswer: 1105738864339.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79282?\nAnswer: 2, 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 113513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - -44bded?\nAnswer: 44bdfc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 + 240 - (-2 + 6 + -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -328, -656, -984?\n\"Answer: -328*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/15*12\/(-50))\/((-8424)\/540)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/8)*m*m\/((m\/(m\/(m\/((m\/(m\/m**(-2\/63)))\/m))))\/m)*((m**(-2\/135)\/m*m)\/m)\/m*(m**(-8)*m)\/m)**(-2\/5) assuming m is positive.\nAnswer: m**(63667\/18900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 29 - 1843*d**3 - 7154*d**3 + 13.\nAnswer: -8997*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.53097 + 0.06903. Let z(h) = h**2 - 5*h - 2. Let u be z(4). What is the fourth smallest value in 2, w, u, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-13)*v**(-13))**44)**(-38) assuming v is positive.\nAnswer: v**(-1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.790456 milliseconds in nanoseconds?\nAnswer: 7790456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 7 = -g + 23 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/1627 - 53699\/6508. Sort 9, j, 0.02 in descending order.\nAnswer: 9, 0.02, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w + 5*w**2 + 9*w)*(1 - 5 + 2*w + 2).\nAnswer: 10*w**3 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -474474721, -474474725, -474474731, -474474739, -474474749?\n\"Answer: -f**2 - f - 474474719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*n**2 + 75*n**2 + 79*n**2 + 73*n**2 + 64*n**2.\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26307709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-600)\/(-33) + (2 - 360\/165).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w = 33*w - 32. Let q be 0 + (-11 + -183)\/(w\/(-9526)). Let g be (-2)\/(-6) - q\/33. Round g to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i + 3*i + 4*i + (0*i + 3*i - 2*i)*(-4 + 3 + 0) - 2*i + 2 - 2 + (-4 + 3 - 4)*(3*i - 2 + 2 + (2 + 1 - 6)*(3 + 2*i - 3)) in the form g*i + m and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 6 + 49)*(-1 - 2*r + 1) + r + 5 - 5 + r + 21*r + 8*r.\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 13. Let v = j - 1. Let c be (-4)\/(-6) + 2\/(-3). Solve c = -5*f + 15 - v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 193, 3388.\nAnswer: 0, 2, 193, 3388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35577 + 65736.\nAnswer: 101313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (2 + sqrt(18) - sqrt(18))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i - 19 - 42 - 11*i as s*i + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -9. Let w = 9.51 - 0.11. Let b = 9 - w. Do b and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95\/62 - 1\/31. Let u = 0.07 + -9.07. Let l = 7 + u. What is the nearest to l in -0.1, t, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - (38 + -32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 619 + -618.9. Let t(r) = -r**2 + 12*r. Let s be t(12). What is the closest to n in -17, -2\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -266.1, -0.2, 3, 2\/5, 6\/11.\nAnswer: -266.1, -2, -0.2, 2\/5, 6\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 3*l**2 - 2*l + 4. Calculate a(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 8*u**2 - 7*u - 10. Let f be t(9). Suppose -5*z + z - f = 0. Let m be 2\/z - -1*7. Solve m*l = 2*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.17, 1\/4, 2\/11, -0.5 in descending order.\nAnswer: 2, 1\/4, 2\/11, 0.17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4060585 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -98431 - -219.5\nAnswer: -98211.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + w - w - 4*w + 3*w + 2*w + (2 - 2 - 2)*(-w + 4 - 4) - w - 4*w + 3*w - 8453*w + 2047*w - 4495*w in the form n + s*w and give s.\nAnswer: -10902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 10:25 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3848 plus -0.4?\nAnswer: 3847.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -11*y**5\/240 - 53*y**4\/96 - 3*y**3\/2 - 1074*y**2. Factor m(k).\nAnswer: -(k + 4)*(11*k + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and 20.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2, 2\/19, 1\/2 in decreasing order.\nAnswer: 3\/4, 1\/2, 2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:42 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*((-1)\/4 + (-2115)\/(-12)). Let v = -231 - a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*q + 3 = 0. Let w = q + 2. Suppose 0 = c - w*c. Round c to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1725 and 483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 - 104 = 15*h + 99 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = c. Suppose -4*u = -2*v + 16, -v + c*v + 13 = -5*u. Solve 4*n = -2*p, -p + 12 = v*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -10*x**3 - 50*x**2 + 42*x + 18. Let w(o) = 3*o**3 + 17*o**2 - 14*o - 6. Let f(t) = -3*u(t) - 8*w(t). Factor f(g).\nAnswer: 2*(g - 1)*(g + 3)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from eeeyyeeyyeyyy.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 834.5 + -5485.5. Let x = 4645.0032 + h. Let y = x + 6. Round y to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/9 + -3 + 4. Let y = 5 - 5. Sort 1\/5, y, w in descending order.\nAnswer: 1\/5, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*l - 30 + 10, 5*l - 10 = 3*u. Is 6 a factor of 20\/l + 36\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 9*b + 24. Let p(u) = -u**2 - 20*u - 6. Is 20 a factor of p(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247653776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccvahppcpachkcpp. What is prob of sequence hk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4*q + 174937677*j**3*q + 50*j*q - 71433*j + 2*q wrt j?\nAnswer: 24*j**2*q + 1049626062*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3471 and 752673?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -15500 - -15516. Put 23, -2, w, 5 in decreasing order.\nAnswer: 23, w, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/(-35) + 345\/75. Let d(a) be the second derivative of 0*a**3 + 15*a - 7*a**2 + 7\/4*a**h + 0. Differentiate d(z) wrt z.\nAnswer: 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -389, 1, 2\/3, -40\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 6*r - 2. Let d = 56 - 15. What is the remainder when d is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505779838 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3043*l - 378090 = 14457 for l.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyddyddyydyydyy. What is prob of picking 1 d and 2 y?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + 3 + (sqrt(68) + 4*-4*sqrt(68))\/(sqrt(396)\/sqrt(11))*-1)**2.\nAnswer: 20*sqrt(17) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 16 - 5*m**3 - 5 + 24*m**3 + 5 + 10.\nAnswer: 19*m**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -733, -1883, -3453, -5443, -7853?\nAnswer: -10683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29257165 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2.5. Let u = 111 + -111.3. Which is the biggest value? (a) 6 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43 - -d0a?\nAnswer: d4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1. Let u be f - (0 + (-18)\/(-15)). Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -8*v + 167. Give r(23).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 38*v**2 - 305*v - 34. Determine c(-12).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j + 87*j = 368 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 6241*i**5\/6 - 4062417*i**4\/2 + 990373915*i**3 + 3655809473*i**2\/3 + 478166271*i\/2 + 25772283\/2 = 0. What is i?\nAnswer: -1, -9\/79, 977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5\/11)*j*j\/(((j*j*j*j**(2\/7))\/j*j)\/j) assuming j is positive.\nAnswer: j**(-57\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/3)\/(((-4170)\/72)\/139)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(19)*-3 - sqrt(19)) + (sqrt(19) + 3 + 1*sqrt(19) - sqrt(19)))**2.\nAnswer: 18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(343) + sqrt(343)*-2 - sqrt(343) - 1*-4*sqrt(175))**2 + -3 + 4.\nAnswer: 36*sqrt(7) + 262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 233 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(272)*-2*-5 + -5 + -2)*-2)**2.\nAnswer: -2880*sqrt(17) + 109124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -221.1264552 rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 2452197743.\nAnswer: 2452197743.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1 (c) 634\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 564\/13 (c) 344\/3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-19)\/k*k*k))\/k**10 assuming k is positive.\nAnswer: k**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186919 by -15.\nAnswer: 186919\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -13325500\nAnswer: 6662750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*sqrt(77)*-2 + sqrt(77) + sqrt(77) + -1*sqrt(77)*3))\/(4*(sqrt(2800) - (sqrt(2800) - -1*sqrt(2800)))) + 0.\nAnswer: -27*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 0.4, 5, 1, -4\/13, -2\/55?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -46505 to the nearest one thousand.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 5*l + 1, -685*o - 13 = -682*o + 2*l for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 62*x**2 + 2*x - 4. Let r(k) = -185*k**2 - 6*k + 11. Determine 4*r(u) + 11*v(u).\nAnswer: -58*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 39 - (-91 + 94)) + 18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-836)\/(-528) - (2 - ((-6)\/(-36) + 1))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -388 + 704. Let d = 2628522440.9999743 - 2628522757. Let b = k + d. Round b to six decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 q, and 1 f when three letters picked without replacement from fqqqcffq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - x**2 + x + 1. Let q(c) = 2*c**3 - 3*c - 5. Let r(l) = -3*p(l) - q(l). Calculate the lowest common multiple of r(-3) and (-1)\/3*126\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-12)*(-247 - 8). What is the greatest common divisor of q and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 63709 = 771. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/12 and 49\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*j + 525 = 3*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 206, 0, 4, -5 in decreasing order.\nAnswer: 206, 36, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r + r + 4*r + (r - r + 2*r)*(1 - 2 + 7))*(0 + 0 - 1 + (2 - 2 - 1)*(-2 - 1 + 5) - 2 - 2 - 1) to the form n*r + m and give n.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 11 + 229. Let i be (-40)\/t*2*-1*2. Let s be 4\/i - 1203\/6. Round s to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -46656\nAnswer: -1\/46656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 23*x**2 - 60*x - 253. What is i(-25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.073018318 to 2 dps.\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1127 - 1130. Which is the nearest to n? (a) 0.1 (b) 0.073 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-14)*(1 + 1). Let r(u) = -u - 2. Let d be r(q). Sort -2, 2, d in increasing order.\nAnswer: d, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -27 (b) -83 (c) -55 (d) -13 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 4:13 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yylllylyllyly. What is prob of sequence lly?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - (-41)\/(123\/(-70)))\/((-1)\/(-42)) + 132.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - 40. Is 4\/h*(-1164)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*m + 9. Is -16 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1001 and 715?\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*a - a - 8 = 0, 2 = 2*f - a. Suppose f = 7*w - 9*w + 14. Suppose w*z - 2054 = 25. What is the highest common divisor of 27 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**5\/9 - 74*p**4\/9 + 2*p**3\/9 + 74*p**2\/9 = 0.\nAnswer: -37, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -918*y - 95 = -937*y. Let p(n) = -3. Let k(f) = f + 7. What is y*p(t) + 2*k(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80953 is divided by 7329.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2256880305?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-12) - 9\/(-4). Let i be (-1)\/h*(3 + -3). Suppose i*j + 5*j = 3*q - 63, -5*q = 2*j - 74. What is the lowest common multiple of q and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 528651, 9, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p**2. Let k(c) = -8*c. Let j(x) = x. Suppose 4*d = -4*q + 44, -4*d - 2*q = -42 + 4. Let g = d + -9. Let l(m) = g*k(m) - 6*j(m). Calculate l(w(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - n + 2*n**2)*((2*n - 3*n - n)*(3 - 3 + 1) + 0*n - 2*n + 8*n) to u*n**3 + w*n + j*n**2 + m and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.216*4.\nAnswer: 0.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1100) - (-1*((sqrt(1100)*2 - sqrt(1100)) + sqrt(1100)) - sqrt(1100)))*-4 + 3)**2.\nAnswer: -960*sqrt(11) + 281609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2117081 and -11\/332.\nAnswer: 8468324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-9)\/(-3)) + -1. Calculate the remainder when 6 is divided by (-6 + 9)\/((-1)\/4*l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -22*c**2 - 12*c + 52. Let x(y) = -9*y**2 - 5*y + 21. What is -5*b(l) + 12*x(l)?\nAnswer: 2*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a + 10 = 0. Suppose q - a = -q. Let g = q + 4. Calculate the remainder when g is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.2 (c) -1.3 (d) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -18*x**4 + x**3\/6 + 63*x**2\/2 - 34*x - 5. Find the second derivative of l(w) wrt w.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 - 79*b**2 - 43*b - 166. Let h be q(-39). Let o(x) = 2*x + 25. Give o(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 11 = 1. Let n be z\/(-18) + (-33)\/(-18). Suppose 8 = 3*k + n. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:43 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-20))\/(6*(-1)\/15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1343 by 4.\nAnswer: -1343\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2264768 and 0.\nAnswer: 0.2264768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 2 (c) 1 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-21) + (-5)\/5. Sort -2, m, -0.4 in descending order.\nAnswer: -0.4, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*(-6 - 664\/(-24)). Suppose -4*x = -4*a - 49 + 17, 5*x = -2*a + 75. Calculate the greatest common factor of l and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (110\/24)\/(9\/(-36)) and -73\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 15 = 17*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 - 7212733*g\/2 + 43276389\/4.\nAnswer: (g - 14425463)*(g - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**5 + 204502*q**3 - 360773*q wrt q?\nAnswer: -20*q**3 + 1227012*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43433211 (base 5) in base 3?\nAnswer: 201000021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2404 - -4455. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 18. Suppose p + 0*r = -r + x, -p + 5*r = 5. Suppose g - 5 = -4. What is the greatest common factor of g and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.37094 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000165 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 96, 156, 216, 276, 336, 396?\n\"Answer: 60*f + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5, 0.26, 0.5, 12 in increasing order.\nAnswer: -17, 0.26, 0.5, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1089, 1 in increasing order.\nAnswer: 0, 1, 5, 1089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21\/4 (b) 1 (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 1:12 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6115*i + 66 = 6121*i. What is the remainder when i is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(sqrt(2) + -1) + sqrt(32) + 3 + (sqrt(2)*2 + -2 - -4*sqrt(18)))**2.\nAnswer: 52*sqrt(2) + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16343 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 653 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 m, and 1 i when three letters picked without replacement from {d: 1, m: 9, i: 1, b: 7, h: 1, v: 1}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126216 and 720?\nAnswer: 1262160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2 = 7*g. Let r = 0.95 - 1. Let o = r - -2.05. Sort 4, g, o in decreasing order.\nAnswer: 4, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/(-2))\/((-442603)\/(-55328) + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -5, -8, -1, 22, 67, 140?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j - 123. Suppose -6*o = -5*o - j. What is the remainder when o is divided by (16\/20)\/(321\/105 + -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51.6 + 51.5999998984. Round p to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, d: 1, u: 3}. What is prob of picking 1 d and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 5. Let o be (-896)\/7*(-5)\/4. Let l be o\/(-50) + (3 - -6)\/3. Which is the closest to 0.2? (a) l (b) 1\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, -310, -747, -1362, -2155, -3126, -4275?\n\"Answer: -89*j**2 + 8*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -60 (b) -2 (c) -3190 (d) 2 (e) 3\/4 (f) 3 (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 29. Let c = 4 - s. Put -4, -3, c in descending order.\nAnswer: c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141 + 73 + (0 - (8 + -3 + -2 + 0)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3662*w + 325891. Give x(-89).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + 2*x**4 + 2*x**4 - x - x**4 + x**4 + 2*x**4 + (-12*x**3 - 19*x**3 - 30*x**3)*(-x - x + x).\nAnswer: 65*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -2810?\nAnswer: -2810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajbib. What is prob of sequence iab?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/((-9)\/24*7*(-13)\/2184)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 2*k**2 - 7*k**2)*(7 - 5 + 3)*(-3*k - 4*k**2 + 3*k).\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -404 + 570. Let m = d - 89. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.86+1360\nAnswer: 1358.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -682\/18935 or 1?\nAnswer: -682\/18935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:10 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*y**3 - 3*y**3 + 6 + 9 + 0 wrt y?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u**2 + 24*u - 40. Let q(i) = 6*i**2 + 25*i - 41. Let f(x) = -4*q(x) + 5*y(x). Let k be f(-22). Solve 0 = d + k*t - 6*t + 5, 2*t = -6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 670860016 divided by -15536\nAnswer: -43181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.4. Let h = -0.2 + k. Does h = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*g + 350 = 22*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -242, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.920593 litres to millilitres.\nAnswer: 8920.593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)*j*(j*j**(-5))\/j*(j**5*j*j)\/(j**6*j))\/(((j\/j**(-1)*j)\/j*j*j**(1\/7))\/((j*j**(2\/7))\/(j*(j*j**(-5))\/j))) assuming j is positive.\nAnswer: j**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 20*u**2 - 5*u - 5. Let a be v(-10). Let n be (8\/(-12))\/((-6)\/a). Suppose 0 = -l + 3*s - 3 + 28, -15 = -2*l - s. Solve n*z = 10 + l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-91)\/14 + 5)*(-52)\/(-6). Let g(f) be the third derivative of -f**6\/120 - f**5\/12 + f**4\/6 + f**3 - 4*f**2. Let d be g(-5). Which is bigger: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -11923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n. Let a(k) = -29*k. Let w(q) = -a(q) - 6*f(q). Let t(v) = 55*v**2. What is t(w(u))?\nAnswer: 55*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 82457.126 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/4))**(-47)*((n**0*n)\/n)**(-6)*(n**(1\/8)\/n)\/n*n*n**1*(n**(1\/2))**(-48) assuming n is positive.\nAnswer: n**(-661\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15713 * 11196.\nAnswer: 175922748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from vbffbfwxbss.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -21. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4 + 8. Let s be o\/(-12) - (-8000001)\/(-2). What is s rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12149774?\nAnswer: 2, 7, 13, 241, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4903651*f**3 + 7*f**2 - f - 72865209 wrt f.\nAnswer: 29421906*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4110446 - 204?\nAnswer: -4110653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-7)\/((x\/(x\/x**6))\/x)*((x*x*x**(1\/4)*x)\/x)\/x**(1\/4)*(x**(2\/13)*x*x*x\/x**4)\/(x*x**(-1))**(-5\/6) assuming x is positive.\nAnswer: x**(-141\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33260, 263111, 886994, 2101925, 4104920, 7092995, 11263166?\n\"Answer: 32836*p**3 - p + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5)\/(z*z*z\/(z*(z**(-1\/5)\/z)\/z*z)))\/(z\/z**(1\/4))**46 assuming z is positive.\nAnswer: z**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50801, -101597, -152397, -203201?\nAnswer: -254009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/979569 and -143\/8928.\nAnswer: 31346208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -35*m - 7. Let y(n) = 1. Give -5*y(s) - z(s).\nAnswer: 35*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*f - 18, -2*x + 12*f + 42 = 5*f. Solve -25*d - 11 - 39 = x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from mmmlmmlmmmm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1034 (base 10) to base 8\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12335845087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2210879 to the nearest ten thousand.\nAnswer: 2210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*p - 681 + 105 = 0. Let j(q) be the second derivative of 0 - 24*q - q**4 + 0*q**2 - 19\/3*q**p. What is the second derivative of j(v) wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 52 = -x. Suppose 2*a + x = 262. Let j = a - 77. What is the remainder when j is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2430) + sqrt(2430)*1 + sqrt(2430))\/(sqrt(36)\/(sqrt(6)*3)))**2.\nAnswer: 32805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/117, -2, 201\/13 in ascending order.\nAnswer: -2, 2\/117, 201\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -14783635?\nAnswer: -1\/14783635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -122513865?\nAnswer: -1\/40837955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.83944188 rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d + 4*d - 153 - 2*d - 6*d + 7*d. Let g be h(14). Is g less than 1\/58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z\/z**(2\/7))\/z**6)**(-8\/15))**(-45))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1464*p + 112*p + 406*p - 202164 for p.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -4*i - 792. Let t be (-3)\/(-4) - 33\/i. Let c = -3 + 2.7. Sort 0.3, c, t.\nAnswer: c, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4270132790 to the power of 1\/3, to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-27))\/(8\/6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750 is divided by 45.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 22. Let y(b) be the second derivative of 5*b**3\/6 - 10*b**2 - 32*b. What is the tens digit of y(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/923?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 10339.7.\nAnswer: 1033.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**6 - 9*r**5 - 556*r**2 wrt r?\nAnswer: 360*r**3 - 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -858 + -6?\nAnswer: -85e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 1 - 5. Suppose -4*f - k + 592 = 0, 2*f + f = -3*k + 435. Suppose -p*n + 11 = -f. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:15 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 7*f**2 + f + 4. Let d be -6 + 1 + (1 - 3). Let l be r(d). Put -1, l, -5 in ascending order.\nAnswer: -5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 30*d - 2028. What is q(67)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.155 + 0.055. Let v = -0.1 - n. Which is the biggest value? (a) -1\/5 (b) v (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 351.05\nAnswer: 70.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m + 1. Let c(s) = -3*s + 1. Let b(u) = -5*c(u) + 4*d(u). Let z be b(-3). Suppose z*w - w - 5 = 0. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120118063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-9))\/((0 + -1)\/(-6))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3\/2, 1, 0.11, -92, 6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 2. What is the third smallest value in i, 5, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*f - 5*o + o, 0 = 4*f + 2*o - 18. Let p(s) = 3 + 1 - f + 4*s. Let u(y) = 4*y**2. Calculate p(u(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-40)\/(-3)) - (-26)\/(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -13.12, -0.5745?\nAnswer: -0.5745","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a - 11*a)*(-11*a**2 + 4*a**2 + 6*a**2 - 11 + 4*a).\nAnswer: 9*a**3 - 36*a**2 + 99*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 4, -x + 24674 = -o + 24683 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 40*p**3 + 7 + 7 - 4*p**2 - 16*p + 44*p**3.\nAnswer: 4*(p - 2)*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/4*x + 0 + 7\/2*x**2 - 1\/4*x**3.\nAnswer: -x*(x - 13)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(-3*sqrt(275)).\nAnswer: -sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 = b. Let s be (b\/3)\/((-1)\/3). Let l = 138 - 968\/7. Is s less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxylylxl. What is prob of sequence yxyx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-248)\/(-1612) + (-8110)\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -58\/267 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 21*s - 2*s**4 - 13*s + 5*s**3 - 10*s + 3*s**4 to the form a*s**3 + y*s + o*s**4 + r*s**2 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.089 and 8278405747.683.\nAnswer: 8278405747.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12413, 12478, 12543?\nAnswer: 12608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 13 + 106 + 30.\nAnswer: -2*i**2 + 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/6)\/((-18)\/27). Suppose -2 - 14 = 4*r, 3*a = m*r + 19. Solve -o + a = -1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/245)\/((-496)\/(-620))?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886 is divided by 178?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 7*n**4\/4 + n**3\/2 - 3*n**2 + 62*n. Let v be (-20)\/(-15) - (-2)\/3. What are the prime factors of l(v)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, 669, 1005, 1343?\nAnswer: 1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, -743 in increasing order.\nAnswer: -743, -12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 101a5 - 1621?\nAnswer: a784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -8. Calculate the highest common divisor of u and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 2*t + 115. Let w be i(-13). Let q = 186 - w. List the prime factors of q.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 18. Let q(m) = -m**2 + 10*m + 13. Let j be q(a). Solve 3*t + j*z = 9 + 1, -3*t + 5*z - 25 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 0. Suppose d*a = 4*a + 4. Let c(p) = -2*p**3 + p**2 + p + 1. Determine c(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**5 - 26*g**4 + 64818*g**3 + 72*g**2 + 16*g - 320?\nAnswer: -180*g**2 - 624*g + 388908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 2. Let z = -0.31 - -0.11. What is the closest to -1 in z, f, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 10. Suppose 0 = 11*b - 75 + 119. Give n(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -10 - (-10 - 1). Let x(v) = -11*v**2 + 3*v. Let w be x(h). What are the prime factors of w\/(-13) + (-10)\/(-65)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - (-13 - -7)) + -1 + (-9 - -10)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 15360 = 86322. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 11*z - 102 = -3*y, 3*y = -5*z + 102. Let l be 2 - 10*(-5)\/(-2). Let m = l + y. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*g - 1040*g = -112359 for g.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*x**2 + 160*x**2 + 174 - 136*x**2.\nAnswer: -369*x**2 + 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28\/71 or -6?\nAnswer: -28\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 3:26 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73 + -5?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -620626*q*x + 448*q - 973 with respect to x.\nAnswer: -620626*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or 0.045899174?\nAnswer: 0.045899174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 386508, 386591, 386674, 386757, 386840?\n\"Answer: 83*y + 386425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 1. Let c(t) = 2*t - 2. What is -3*a(f) - 2*c(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e + 13a?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 270476 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.14 - -3. Let q = f - -0.13999992. What is q rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqqcccaqcqaqqq. What is prob of sequence cccq?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 12:20 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -16 + (-12 - -24) - 1) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9531 + -0.0469. Let o = 2 + -2. What is the nearest to b in -5, -0.1, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 648?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:01 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 90 = 5*j, 11*j + 19*g = 6*j + 30. Which is bigger: -100 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 126 + 119. Let b be 1 + (-15)\/13 - 8109\/(-234). Is b at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + 6. Calculate the remainder when w is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3)\/(z\/z**5))\/((z*z*z\/(z\/(z\/z**(1\/6))*z))\/(z**(-3\/8)*z*z)))**(-34) assuming z is positive.\nAnswer: z**(-1819\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 1:29 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 - 40*a - 75 = 0. Calculate a.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2002 divided by -154\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/(-13))\/(2\/4*-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p - 1. Let j(q) = -7043 + 5*q + 7050 + 4*q - 4*q - 5*q**2. Calculate j(v) + 4*n(v).\nAnswer: -v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*u - 14, -4*f + 1 = -3*f - 5*u. Let l(q) = f*q**2 - 5*q - 12*q**3 + 34*q**3 - 21*q**3 - 10. Determine l(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1 = 3*d - 5, -d = 3*c - 2. What are the prime factors of (11 - -4) + (c - 0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11 = -y, -q + 0*q + 8 = y. Solve 4*g = -q*x, 0 = x + x + 5*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*l - 100*l + 7*l**2 + 250*l - 102*l.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 1, 32, 97, 208, 377, 616, 937?\nAnswer: 1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 335714 and 1054054?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 1200.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 612504856 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 104*n + 316. Let h be l(-3). Solve 30 = -5*u - 2*w, -h*u + 0*w = 2*w + 26 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19039564.\nAnswer: 2, 61, 78031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 = 2*v, 0 = 5*v - 3*s - 2*s + 20. Let q(a) = -a**2 - 8*a - 8. Let t be q(v). Suppose -y + t = -9. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 348 = 4*w, 4*w + 95 - 442 = -5*k. Does 24 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/1 - 122418\/4534.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 1. Let f(y) = 10*y - 30. What is the units digit of f(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 254*p - 3 - 5 + 15 - 255*p - 9. Let v(c) = 4. Let m(n) = -11. Let u(o) = -3*m(o) - 8*v(o). Determine 2*i(k) + 5*u(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/53 (b) -756 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 8*k**2 - 3*k**2 - 12*k**2 + 19*k - 13*k**2 - 45. Let y be h(-21). Sort 0, y, 3, 5.\nAnswer: y, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 h when three letters picked without replacement from {g: 4, h: 8, z: 2}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 624 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.999978 + 11. Round m to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 448, 4.\nAnswer: 1, 4, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(525\/(-14)))\/(-3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -663005 at least -662984?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lo when two letters picked without replacement from yxylxhsohxxxxsx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17581 is divided by 181.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**5\/9 - 466*p**4\/9 + 1456*p**3\/3 + 14668*p**2\/9 - 10316*p\/9 - 2750\/3 = 0.\nAnswer: -125, -3, -1\/2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5003954 and 2812?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-460)\/110 + (-2)\/(-11). Put 3, m, -5 in decreasing order.\nAnswer: 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53287*f**4 + 3*f**3 - f**2 + 2*f + 982174 wrt f.\nAnswer: 213148*f**3 + 9*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 4*h**7\/21 - 5*h**4\/12 - 15*h. Find the third derivative of l(s) wrt s.\nAnswer: 480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**3 - 2*h**2 - 6*h + 6. Let a(z) = -7*z**3 - 2*z**2 - 5*z + 5. Let g(o) = 6*a(o) - 5*t(o). What is the third derivative of g(i) wrt i?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*i + 2*i = 12, 0 = -g + i + 5. Suppose 3*q + 5*f - 10 = -42, 3*f = -3. What are the prime factors of g\/q - (-20)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/1*((-2376)\/77)\/(-6).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12135 and 6255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.26 + 1.76. Which is the closest to -0.08? (a) -2\/11 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044880767 a multiple of 5403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -9078?\nAnswer: 907d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -17*o + 3174. Let w = -896 + o. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqssqststilsstss. Give prob of picking 1 s, 1 l, and 1 q.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jteytjojotj. What is prob of sequence yt?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 130. Suppose 4*b + h - 167 = 0. What is the greatest common divisor of 10 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*w = 6*x - 1047, -2*x - 5*w + 705 = 0. What is x rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/6 - 14\/(-42). Suppose -2*w = 4*t - 2*t - 24, -15 = n*w. Sort 2, t, -1.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 + 1052\/7. What is the closest to 1 in -3, -2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 74*o + 87. Let k(f) = -3*f. What is k(h(g))?\nAnswer: -222*g - 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -28931428.\nAnswer: -1157257.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 326303847?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -143, -311, -575, -983, -1583, -2423?\n\"Answer: -8*w**3 - 112*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*a**6 - 4*a**4 + 3*a**3*v**2 + 77*a**2*v**2 + 10*a**2*v wrt a?\nAnswer: 6120*a**3 - 96*a + 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (sqrt(1872) - ((sqrt(1872)*1 - sqrt(1872)) + sqrt(1872))*-2))\/(sqrt(36)*2 - (sqrt(4) - (1*sqrt(324) + sqrt(4)))).\nAnswer: 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 + 6*k + 8. Let a be r(-1). Factor -6*s - 5*s**2 - 5*s + a*s - 5*s - s.\nAnswer: -5*s*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d - d**3 + 6*d**2 - d**2 + 3 + 4 + 0*d**3. What are the prime factors of q(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -3*t + 88. Let d = 3 - t. Let h = d - 15. What is the smallest common multiple of 22 and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6886.05933 rounded to the nearest 100?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*sqrt(240))\/sqrt(5) + sqrt(48) + (0 + sqrt(48))*-4 + sqrt(48)) - (sqrt(36)\/(-5*-1*sqrt(12)) - ((sqrt(30)*-2)\/sqrt(10) + -6*(0 + sqrt(3))))**2.\nAnswer: -5043\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - (0\/6 - 8). Suppose 0 = 2*j - 2*m - 5 + 3, -2*j = -y*m + 1. Put -3, 5, 7, j in increasing order.\nAnswer: -3, j, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = -4*v, 0 = 7*v - 4*v + 11*k + 33. Suppose i - 3*o - 2 = -4*o, 2*i = 3*o + 4. Solve -10 = -2*x + 4*b, v*b = i*x - b - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820868?\nAnswer: 2, 163, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21)\/(-7))\/15)\/((-1)\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by 7.\nAnswer: 69\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-4)\/2) - 3. Let f(y) = -y**3 - 4*y**2 + 4*y - 7. Let k be f(h). Let g = 7 + k. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223325 (base 6) in base 3?\nAnswer: 221221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r - 5. Let y(s) = -7*s - 9. Let w(u) = -5*h(u) + 2*y(u). Let j be w(0). Let k = 19 - j. What is the least common multiple of k and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Let q = 112.98 + -113. Let j = 3 + -3.12. Let o = q - j. What is the nearest to o in -2\/3, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 10:27 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564157 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 y, and 1 b when three letters picked without replacement from anayyapmmbbbambybby.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrgrgrrrrrr.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*19\/((-627)\/110)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200) + 0)**2 + (sqrt(572)\/(sqrt(44) + sqrt(11)))**2.\nAnswer: 46852\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10406.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8515*k - 1823. Does 13 divide g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -76*b**2 + 1\/14*b**8 + 0*b**6 + 0 + 0*b + 0*b**7 + 1\/6*b**3 + 0*b**4 + 19\/60*b**5. Find the third derivative of q(x) wrt x.\nAnswer: 1440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohyy when four letters picked without replacement from {d: 1, y: 3, x: 3, h: 2, o: 5, j: 6}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 424303163915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Suppose 0 = 2*y - y. Let b(l) = -1 - 3*l**2 + 1 + y. What is s(b(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -12, 1\/7, 41\/5?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -2\/61483, -2\/7 in increasing order.\nAnswer: -2\/7, -2\/61483, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4 + 10 - 50*m + 51*m - 4. Give f(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a**3 + 5*a**3 - 2*a**3 + (-110*a + 308*a + 615*a)*(0*a**2 - 2*a**2 + 4*a**2) in the form u*a + m*a**2 + t + k*a**3 and give k.\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 37 = 2*o, 5*o + 327362*p - 2 = 327361*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 20 = -2*v, 5*v + 2*d + 61 = 11. Let f be (v + -4)\/((-2)\/2). Let k be -21*1*4\/(-6). What is the highest common divisor of k and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(8 - (-18 - -33)). Solve -12*l + 17 = -v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)*g**(-3))**(-47)\/(g**(-6\/5)\/g*(g*((g**(1\/6)*g)\/g)\/g)\/g)**(1\/12) assuming g is positive.\nAnswer: g**(62131\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(45) - -2*sqrt(45)) + (1*sqrt(10)\/sqrt(2)*-1)**2.\nAnswer: 7 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0087 and 1.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1405 - -1423. Solve 25*f - y = 7*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7945 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: What is next in -8011609, -8011610, -8011611, -8011612?\nAnswer: -8011613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -312110 rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*d**3*t*x**2 + d**3*t - 4*d**3*x**2 - 33903*d**3*x - 10*d**2*t*x - 2*d**2 + 2885*t*x**2 - x wrt x.\nAnswer: 88*d**3*t - 8*d**3 + 5770*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1292057715.70000033 - 1292057708. Let v = h + -7.7. What is v rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13068 - -25490. What are the prime factors of m?\nAnswer: 2, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-165)\/22*(-5)\/(10*55)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 1. Let b(n) = -8*n + 7. Let y(g) = -g**3 + 9*g**2 - g + 13. Let j be y(9). What is j*b(v) - 28*k(v)?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 110?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 - 82*f - 25. Let n be m(-27). Solve -5 = -5*b - 5*c, 3*c = n*b - 2*c - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(72\/(-6))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3643627 + -2?\nAnswer: 3643625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + 2000222012102?\nAnswer: 2000222011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/5 + 2\/5. Suppose 0 = -h - o*j + 16, -2*j - 28 = -2*h - 7*j. Suppose -4*i = i, -1410000 = 3*p + h*i. Round p to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 take away 77?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-15)\/7 + 2. Suppose 21 = 2*w + 5*n - 4, -20 = -5*w - 4*n. Let d = -1 - w. Is d > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 6. Let w be m(4). Let o(i) = -4*i. Let k(l) = 4*l. Calculate w*o(y) - 3*k(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*w + 150 = 0, 5*w - 132 = -8428*p + 8432*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 2*d = 25, 19*s = 23*s + d + 23 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460844 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-44)\/(-77))\/(0 - 18\/(-21)). Let i(g) = g**3 + 2*g**2 - 2*g + 1. Let z be i(1). Factor 2\/9*q**5 + 2\/3*q**4 - u*q - 4\/9*q**z + 4\/9*q**3 - 2\/9.\nAnswer: 2*(q - 1)*(q + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 1479.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5369287763 to the power of 1\/3, to the nearest integer?\nAnswer: 1751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11571 (base 8) in base 2?\nAnswer: 1001101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - -17) + (-5)\/1. Let f(i) = 6*i + 2. Let r(c) = -2*c. Let k(l) = -3*l. Let p(t) = 3*k(t) - 5*r(t). Give o*f(d) + 8*p(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 43*b**2 - 16.\nAnswer: -43*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1783 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159923974 and 2979?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -63. Are o and -11 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/7 + 730\/70.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -13. Suppose w = 2*z - 0*z. Suppose z*l = 2*l + 9. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 1:19 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48084964?\nAnswer: 2, 41, 293201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -6. Suppose -2*a = 1 - x. Solve 0 = -a*r - 0*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -3.3294, -1\/6, 71?\nAnswer: -3.3294","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/16 and -1\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/354373 + 27995859\/69457108. Find the common denominator of o and -21\/2.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*y - 2*f, -2*y - 11*f + 7 = -10*f. Sort y, 2\/3, -12\/13.\nAnswer: -12\/13, 2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1782)\/2268*8\/22?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 0 (c) 0.5 (d) -12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.19 - -0.2. Let b = 0.41 - v. Let a = -5\/3 + 7\/3. What is the second smallest value in b, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/5)*q)**(3\/40)\/(q**(-18\/5))**(15\/8))**(-41) assuming q is positive.\nAnswer: q**(-27921\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 516227.54 less than -25.5?\nAnswer: -516253.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-214*t - 134*t - 123*t - 379*t)*(-3*t + 1 - 1) to the form l + q*t + z*t**2 and give z.\nAnswer: 2550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 231 - 162 + 66)*(2*c + 0*c + c + c + 3*c + 0*c - 2 + 2 + c + (3 - 1 - 1)*(2 - 2 + 2*c) - 3*c - c + 3*c) as l + r*c and give r.\nAnswer: -2304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 28*p**2 - 25*p - 53. Calculate o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/24 and 187\/180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3764*y. Let i(p) = -4*p**2 + 51*p**2 - 12*p**2 - 8*p**2 - 21*p**2. Calculate i(k(c)).\nAnswer: 85006176*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2355, -2404, -2519, -2700, -2947?\n\"Answer: -33*z**2 + 50*z - 2372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5*r - 114 = -103, -g + 12 = -4*r for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3\/5, 1\/4, -5, -25 in increasing order.\nAnswer: -25, -12, -5, -3\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -242 + 2660\/11. Let j = -210 + 1892\/9. What is the nearest to j in -2, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = -5*p. Suppose -4*d + p*d = 0. Solve z = -d*z + n, 2*z - 3 = -n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-6) - 0)*(-19)\/(11780\/1364)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7322982 divided by -1\nAnswer: -7322982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 11. Let p be m(-10). Let f = p - 88. What is the units digit of (3\/9)\/((-1)\/f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14 and 11.6.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21112011222110 - 20?\nAnswer: -21112011222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3)\/((b*b*(b\/b**19)\/b*b*b)\/b*b)*(b\/(b**(2\/11)\/b))\/(((b*b*b\/(b*b**(4\/11)*b))\/b*b)\/b) assuming b is positive.\nAnswer: b**(156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from onacnaoaoaconn.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + 3*(sqrt(72) + sqrt(72)*-1 + sqrt(72) + sqrt(72)) - ((1*(sqrt(72) + -2) - sqrt(72)) + -4)) + 3 + -5)**2.\nAnswer: 216*sqrt(2) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4812, 9526, 14250, 18990, 23752, 28542?\n\"Answer: b**3 - b**2 + 4710*b + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 8410860 rounded to the nearest one hundred thousand?\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.681866 centimeters to meters.\nAnswer: 0.00681866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 + 8*k. Let o(i) = 20*i**2 + 19. What is u(o(d))?\nAnswer: 2000*d**4 + 3960*d**2 + 1957","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 + 15 + f**3 - 15)*(4 + 3 + 20).\nAnswer: -54*f**4 + 27*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574183*j + 633 = -574394*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (9\/2)\/(-3)*152\/(-6) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 294203, 294202, 294201, 294200, 294199, 294198?\n\"Answer: -o + 294204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -19*p - 123. Calculate q(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 34239 - 34351 = 0 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - v + 6. Let f(u) = -u**2 - u + 5. Determine -5*d(n) + 6*f(n).\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -31. Suppose h*k = 4*k + 3*d + 662, -d - 1978 = -3*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-105)\/(-10)*(52\/(-12) - -5). Let k(y) = 6*y - w*y + 2*y. Let n(i) = -37*i**2. Give n(k(r)).\nAnswer: -37*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13d + 19?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -253 + 256. Which is the second smallest value? (a) o (b) 7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 6*w + 2. Suppose -9 = -5*o + 21. What are the prime factors of i(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 383215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1531, 1482, 1431, 1378, 1323, 1266?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/36*16290\/(-3620))\/((-15)\/156)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1. Let r be (14\/4)\/((-7)\/(-14)). Suppose 2*t + 3 - r = 0. Let u(w) = -w**2 - 5 - w**t + 0*w**2. What is u(l) - 2*v(l)?\nAnswer: -2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - -19. Suppose 0 = 4*u - 0*u + 8. Let q = 7 + u. Solve -2*i + 9 + q = g, 0 = 4*i + g - h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Let p be 2\/(12\/1) + (-26712)\/55728. Let s = 23\/43 + p. What is the nearest to s in -0.4, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153564930 divided by -126495\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**3 + 2*k**3 - 3*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.45026739 to 3 dps.\nAnswer: -6.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 - 11*g**2 + 13*g**2 + 2 - 638902*g.\nAnswer: -4*g**2 - 638902*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -238*l - 949. Let c be x(-4). Solve n - 1 = -c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nknnknkwnxnxsgwsnw. What is prob of sequence wkw?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-33))\/((-128)\/(-528))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(((r\/(r\/(r\/((r**15*r)\/r))))\/r*r)\/r)*(((r*(r**14*r)\/r)\/r)\/r)\/r*r*r assuming r is positive.\nAnswer: r**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-364)\/(-3276)*(0 - 1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 27761 and 27751 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/1*38*22*11\/11495?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 6 = 4*i. Let j be (-78)\/5 - i\/(-5). Let h = -7 - j. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 32 = 3*f. Suppose 34*m + 28 = 41*m. Sort 5, m, f in increasing order.\nAnswer: m, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*45\/20*8\/(-108)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 439*d**2. Let p(t) be the second derivative of 0 + 0*t**2 - 1\/3*t**3 + 246*t. What is p(x(f))?\nAnswer: -878*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*m = 13, 3*c - 4*m = -294 + 271 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnlln. Give prob of sequence lnn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -38131 at least as big as -38130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1827\/14)\/(-29)*(-1880)\/47*(-3)\/36?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -621110.5561 rounded to the nearest 100?\nAnswer: -621100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6439 is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**2\/3 + 4237555*r\/6 - 12713205\/2.\nAnswer: 5*(r - 9)*(4*r + 847547)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4 = 2*w. Suppose w*t - 10 = -t. Suppose -22 = -t*q + 4. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 33*n**2 - 46*n + 18. Let f be z(15). Let d be (5 - -1)*1\/(-2). What is the closest to 0.1 in d, 1\/3, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*n - 6 = 0, 3*w + 3*n = -n + 2. Let z(v) = v**3 - 10*v**2 + 6*v + 5. Let h be z(w). Let t = -57 - h. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-5)\/(-15)*37\/(-37)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -20ca?\nAnswer: -20c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mddd. Give prob of picking 2 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*c = -3 + 4, -c + 43 = 5*h. Let n(g) = h*g**3 + 14*g**2 - 2 + 1 - 20*g**3 - 17*g + 11*g**3. Let u be n(12). Round u to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmdedmvmpmimdpmdvmp. What is prob of sequence vmd?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -406544 divided by 5?\nAnswer: -406544\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 41. Let r be (-28)\/(-12)*3 - 1. Suppose 4*m + r = 2*j, -2*j + 3*m = -0*m - 9. Calculate the remainder when t is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 17494. Let a(w) = -459*w. Determine a(n(d)).\nAnswer: -918*d**2 - 8029746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -7, -1\/2, 2, 1\/7, -0.28 in descending order.\nAnswer: 5\/2, 2, 1\/7, -0.28, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(4\/(-1)). Let u(v) = -2*v + 4. Suppose -58 + 76 = 6*c. Let k be u(c). Sort t, k, 4.\nAnswer: k, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 324 = 5*t + 85, 2*x = -5*t + 242. Suppose v = -3*o + 8, -3*v + o + 48 = 2*o. Calculate the remainder when t is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 5*d = -99. Let u = d + -59. Let k = u - 27. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-704)\/374 + 3 + -1\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11518 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 3988.\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - ((486\/(-48))\/3 + 8\/64)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -55395\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-21))\/((-6)\/(-9))*(-48)\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21967, -21969, -21971, -21973, -21975, -21977?\nAnswer: -21979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0)**7*a\/(a*a\/(a\/(a*a\/(a**3\/a*a*a)))*a*a*a)*a**(-4))\/(((a**(1\/3)\/a*a*a)\/a)**42)**(-47) assuming a is positive.\nAnswer: a**660","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(28) + 1)**2 + -2*sqrt(1372).\nAnswer: -4*sqrt(7) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19363910, 19363911, 19363912, 19363913, 19363914?\nAnswer: 19363915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and ((-27)\/12)\/((-7)\/(-8) + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7155718 is divided by 327?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 7*x + 4. Let h be k(-7). Suppose 3*a + 5*r = 26, 0 = -2*a - 3*r + 22 - 6. Suppose o + a = h. Is 3 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 19 + 24 - 8*k**3 - 4*k**2 + 2*k**2 - 4*k**4 + 3*k**3 + 7*k**3 to the form r*k**3 + b*k + h*k**2 + l*k**4 + p and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 550404, 550408, 550412, 550416?\nAnswer: 550420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 2*p - p + 3*p + 0*p. Let c(a) = -a**2 - 53*a. Determine k(c(b)).\nAnswer: -2*b**2 - 106*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-227*m - 137*m - 641*m)*(2*m - 5*m + 4*m) - m**2 + 2*m - 2*m to f*m + z*m**2 + j and give z.\nAnswer: -1006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -75. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-4)\/3)*10\/3. Let m be ((-12)\/30 + 0)\/(2\/x). Let p be (-142)\/(-176) + 4\/(-22) - m. Which is the closest to 1? (a) p (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14483281.68 nanoseconds in weeks?\nAnswer: 0.000000023947225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3, -2564, -2447 in ascending order.\nAnswer: -2564, -2447, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert f0f (base 16) to base 8.\nAnswer: 7417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-90)\/210 + (-31)\/(-7). Suppose 6*o - 2 + 3*o**3 - 13\/2*o**2 - 1\/2*o**d = 0. What is o?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(180)*2 - sqrt(180))*4 + sqrt(180) + -4 + -2*sqrt(180))**2)*2.\nAnswer: -288*sqrt(5) + 3262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8 = 7. Suppose -5*q + 4*q = 0. Let z be 35 + 3 + q + 2. Calculate the highest common factor of p and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/2 + (995 - -17) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5311 - -0.5311. Let h = -6 + 17\/3. What is the closest to h in p, -0.03, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0 - 1\/21*t**4 + 1\/420*t**5 + 2\/7*t**3 + 2*t**2 - 6*t. Let w(d) = 0. Calculate d.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -44148889?\nAnswer: 88297778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -4*l - 14. List the prime factors of l.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*sqrt(49)*-1*6)\/((sqrt(7) - sqrt(700)*1) + sqrt(7) + sqrt(7) + -6*sqrt(28)) + 5).\nAnswer: -5 - 24*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {b: 1, l: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 7*z. Let h be r(6). Let k be (-2 + 3)*(3 - -1). Let u(n) = -3 + 8 + 3*n + 2 - k*n. What is u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 7 - 3. Suppose -d*f + 52 = 2*f - 2*b, -2*b = 0. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3561222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + -5 + 13 + -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -34. Suppose 5*o = 4*y - 10 - 20, 2*y - l = 2*o. Suppose y - 2 = 3*g. Solve u + 0 + g = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/8)\/15)\/(25\/(52800\/(-24)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 25 = 2*g, a = -2*a - 15. Which is smaller: g or -2\/1619?\nAnswer: -2\/1619","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2621 - 21005\/8. What is the common denominator of h and 36\/(-80)*-2*(9 - 0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a**2 - 7*a + 14*a**3 + 10*a**2 + 8*a as o + b*a + j*a**2 + d*a**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1440057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -97, -378, -845, -1498, -2337, -3362, -4573?\n\"Answer: -93*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166*l**2 + 168*l**2 - 336*l**2 - 25 + (l - 4 + 4)*((2*l + 0 + 0)*(-1 + 3 - 4) + 3*l + 0*l - 5*l) to p*l**2 + v*l + m and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84506*f**2*o**5 + 29300*f**2 + 6*f*o**4 + 7*f*o**2 + 31*f*o wrt o?\nAnswer: 5070360*f**2*o**2 + 144*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279859 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.5 (b) -1 (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5458.49 to the nearest 10.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b + 19*b + 77*b**2 - 107*b**2 + 14*b to the form i*b + n + t*b**2 and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2274, -2275, -2278, -2283, -2290, -2299?\nAnswer: -2310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 + 2)*(-3 - 2 + 4)*(-2*c + 5*c - 4*c + (-1 - 1 + 1)*(-2*c + 2*c - 2*c) - c + 4*c - c)*(0 - 1 + 0) to b*c + s and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 38*y - 5. Let m be p(-1). What is the units digit of 6\/(-120)*-5 - m\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 4*a**2 - 5*a - 3. Let f = -2 + 0. Let m = f + -1. Give t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 212*a - 864. Let z be b(4). Solve 4*w - 12 = z, 2*q - 5*w + 83 - 64 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five eighths of a kilogram in grams?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 2)\/(1*-1). Suppose j + 122 = 5*d, 0 = 2*d - 0*j - 5*j - 58. Suppose -3*w + 6 + d = y. Calculate the highest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h**3 - h**2 - 4*h - 7. Let q(s) = 20*s**3 + 2*s**2 + 10*s + 15. Give 2*q(v) + 5*y(v).\nAnswer: -10*v**3 - v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 599505 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.276 times -2504?\nAnswer: 691.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)\/(sqrt(40)\/sqrt(5)))\/(-2*sqrt(112) - sqrt(112)).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30075 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: Convert 0.48308 litres to millilitres.\nAnswer: 483.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (4 + -2574) - (-8 + 4). What is the hundreds digit of ((-80)\/(-12))\/(a\/642 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*63.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(95)*-3)\/(sqrt(80)*2).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from ayaaaici.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 13*o**2 + 22*o - 5. Give a(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**2 + 9. Let x(r) = -74*r - 119. Let s(z) = -99*z - 153. Let b(f) = 7*s(f) - 9*x(f). Give c(b(p)).\nAnswer: -3645*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434.0304 + -24.\nAnswer: 410.0304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 35665 + 243993 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**3. Suppose 8 = 2*s + 2*r, -2*s + 4*s - 3*r - 3 = 0. Let m(a) = 0*a**3 - a**3 + 4*a**s. What is -9*m(y) + 4*x(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*x - 5*z, -z + 0*z = 5*x + 14. Let u = -1.3 - -3.3. Put x, u, 0.4 in decreasing order.\nAnswer: u, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -18 (b) 0 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*g = 0. Suppose g*n = -2*n + 26. What is the remainder when 49 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, 91, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-7) - ((-6822)\/126)\/(-1). Let q = 208 + -312. Let r = w - q. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 53919.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -52. Solve 4*z = d*l + 2, z - 4*l - 7 = -3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -15*p + 18. Let n be j(-7). Let k = -56 + n. Let i = k + -66. Which is bigger: 30\/17 or i?\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(17))**2 + -2 + 3.\nAnswer: -4*sqrt(17) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 109807 - -3?\nAnswer: 10980a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15809 by -2.\nAnswer: 15809\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 + 116*j + 33. Let h = -11 - -20. Calculate the smallest common multiple of i(-23) and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -2*g - 79 + 9, -3*x + 7*g - 9*g - 13*g = -3*x + 75 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 90.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330, -2573, -8666, -20535, -40106?\nAnswer: -69305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -35\/91642, 4, -0.6 in increasing order.\nAnswer: -0.6, -35\/91642, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, r: 8}. What is prob of sequence sr?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 31.15. Let c = -4.85 + r. Sort c, -3\/5, -1\/4 in descending order.\nAnswer: -1\/4, -3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23348.01 to the nearest one hundred.\nAnswer: -23300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -411 - -242. Let x = -119 - z. Let l = x - 56. What is the nearest to 0.2 in -1, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*l**3 + 158*l**3 + 146*l**3.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -975*q**3 + 328*q**3 + 334*q**3 + 328*q**3.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, 169, 10, -12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83573607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, s: 7}. What is prob of sequence scsc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159 by 21773.\nAnswer: -159\/21773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2*c**4 - c**5 - 261*c**2 + 4*c**3 - 2*c**3 - c + 257*c**2 = 0. Calculate c.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 5*a**2 + 3*a - 1. Let d be w(-4). Let q = 3 - 0. Find the second derivative of -k**d + k + k - k**q wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*b + 78. Suppose i - b = 15. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 + -5 - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43825? (a) 3\/4 (b) 4 (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-252))\/(25\/(-40))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**8\/840 - b**6\/180 + b**3\/6 - 2*b. Let x(w) be the second derivative of m(w). What is the third derivative of x(u) wrt u?\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -15*l**2 - 615*l - 171. Determine w(-42).\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is r in 20*r**4 - 60*r**3 - 75*r**2 - 20*r = 0?\nAnswer: -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 34?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 27\/20*d**5 + 9\/10*d**6 + 3*d + 3\/4*d**4 + 1\/6*d**3 + 0 + 0*d**2. Determine b, given that g(b) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (84\/(-18) - -5)\/(1\/408). Let f be (-1)\/(-3) + 52\/6. Suppose -p = -f*s + 269. What is the remainder when s is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/5)\/8)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*p - p = -476, -5*p - 20 = 0. Let h = -147 - f. Is 6 a factor of ((-73)\/15 - -5) + (-1196)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 6*s + 3. Let r(q) = 0 + 0 - q. Suppose -3*b + 3*t = 0, -3*t + 21 = 4*b - 0*t. Suppose 0 = -3*k - b*k + 36. Give k*r(z) - f(z).\nAnswer: -z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2153*f - 261*f - 3.\nAnswer: 1892*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 + w + 0 + 2*w - w - 3*w + (-53*w - 4*w - 20*w)*(2 + 1 - 7) in the form r*w + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*(-1 + sqrt(325)) + -2 + sqrt(325)*-2 + sqrt(325) + sqrt(325) + 2 + -5*sqrt(325)*-2))**2.\nAnswer: 250*sqrt(13) + 8150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14218 in -2, 3, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 885 divide 1739430612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 20*o**2 + 23*o - 24. Let s be b(1). Let g(f) be the second derivative of -4\/3*f**4 + 6*f**2 + s*f + 3\/10*f**5 - 5\/3*f**3 + 0. Factor g(j).\nAnswer: 2*(j - 3)*(j + 1)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 + -4. Let n(l) = -l - 6. Let q be n(-5). What is the closest to -2 in q, h, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 927980 - 927972 = l + 4*d, 0 = -3*l + 3*d - 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -0.2, -5, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 11:26 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -98, -142?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6390, 6388, 6386, 6384, 6382?\n\"Answer: -2*g + 6392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 19811?\nAnswer: 19811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*w + 348 - 92, 212 = -3*f + 2*w. Let m be f\/(-3) + 1\/3. What is the common denominator of 38\/11 and m*(1 + (-6)\/4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (3 - -4)) + -5 + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agw when three letters picked without replacement from obaabbbgw?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -12*s**3 - 2*s**2 - s. Suppose p - 23*k = -24*k + 1, 4*k - 8 = 0. Give a(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*7\/(-14)*0*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180761.\nAnswer: 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -22, 4.\nAnswer: -22, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -365241\nAnswer: -2\/365241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43149310326 and -0.2?\nAnswer: 43149310326.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 19. Sort -4, -2, o in ascending order.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51322?\nAnswer: 2, 67, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1011011000011011 (base 2) to base 11\nAnswer: -32031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -13855.\nAnswer: -26\/13855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = 0. Suppose n = p - r, -3*p - 2 = -4*r + 1. Let v be (-2)\/6 + (50\/48)\/5. What is the third smallest value in p, 0.4, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011655 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*l = 280, 8*g - 2*l - 210 = 5*g. Let x be 2*(155\/g - 4\/(-14)). Suppose -y + 32 - x = 0. Is y a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62723 + -42074. Let s = -20658.053 + m. Let c = s - -9. Round c to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1457*r - 8740. What is k(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/(-14))\/(((-132)\/14)\/(-66))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h*h*h*h**(-1\/11))\/(h\/h**(-3)*h**(-1\/7))*h**5\/(h**4*h)*(h**(-2\/3))**41 assuming h is positive.\nAnswer: h**(-4916\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, u: 7, x: 3, m: 5}. What is prob of sequence muuc?\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - 42270?\nAnswer: -42245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15 (b) 2\/3 (c) 0 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1587216 and -139\/36912.\nAnswer: 1587216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:37 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 191*o + 187. Let s be p(43). Calculate the greatest common divisor of s and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 j, and 1 a when three letters picked without replacement from {s: 2, c: 1, a: 1, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/((-3)\/(3\/4)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -308 * -0.401.\nAnswer: 123.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -65593175 divided by -13118635?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b + 6 = -13*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 0.950189.\nAnswer: -0.6651323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 106249*v**2 + 3*v - 2. Let s be h(2). What is s rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t + 36. Suppose -11*j = 11*j + 17 + 137. Determine r(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235155 (base 8) to base 13\nAnswer: -2a83a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 8 = -14*m. Is (-14 - -16)*(m + 82\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578 + 261 - 8*d + 317.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 121847, 121823, 121799, 121775, 121751, 121727?\n\"Answer: -24*w + 121871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i + 9. Let q(p) = -3*p + 4. Let h(v) = -6*o(v) + 10*q(v). Let y = 3 - -5. What is the remainder when h(6) is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -29. Let h(o) = -o + 6*o - z*o. Let g(c) be the second derivative of -c**4\/6 + 2*c. Give h(g(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13 - 1) + 48\/(-16). Solve -17 = -2*v + 4*b - b, 0 = v + 2*b + y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8)*(-1)\/(4\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 1\/4*q**4 - 1\/2*q**2 + 1\/3*q**3 - 5 - 4*q. Determine u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*h - 66*h - 13 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.54, 3\/5, -4, 1\/3, 5, 545, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - b + 4. Let i = -2 + 6. Suppose n = -i*n. Calculate the remainder when 13 is divided by q(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 1365 = 17*r. Suppose -y + 5*y = 2*w + 364, 5*w = -3*y + r. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b - 9. Let j be q(7). Let a = 2744 - 2806. Let g = a + j. Put -4, 4, 0, g in ascending order.\nAnswer: -4, g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147.17 + 147.26. Which is the smallest value? (a) -2 (b) 1\/4 (c) -0.1 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnvz when four letters picked without replacement from {n: 1, v: 3, i: 1, z: 5, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 18*w**2 + 4*w - 1. Let j(u) = -u**2 - 5*u + 7. Let x be j(-7). Is y(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11785\/15*3*6. Let a be m\/24 - 12\/(-16). Suppose f + a = 3*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -46*v**2. Suppose -4*y = 3*k - 23, 5*y + 4*k + 1 = 31. Suppose -3*h + 3 - 17 = -y*t, 2*h = -t. Let u(s) = -2*s - t*s + 3*s + s. What is u(b(f))?\nAnswer: 92*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -6.9999842. Round p to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y + 25 = 0. Suppose 0*h + 4*h = -5*w + 102, -y*w - h + 93 = 0. Solve -2*i = -7*i + 3*p + w, 2 = i + p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 327 divided by -1002\nAnswer: -109\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*d + 4*q, 32 = 2*d - 7*d - 4*q. Let f = 25 - 25.1. What is the nearest to 2 in f, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**2 - j + 113. Let y(i) = -2121 + 5*i**2 + 2*i**2 + 2235. Let d(z) = 6*p(z) - 7*y(z). Differentiate d(o) with respect to o.\nAnswer: 10*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11585 - 2*i - 29588 - 29163.\nAnswer: -2*i - 70336","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77149006.33 + -77149331.1266933. Let p = 339.796693 + u. Let k = p - 15. What is k rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447*z - 445*z = -5*n + 35, 3*n = 2*z + 5. Let p be ((-6)\/4)\/(27\/4). Which is the nearest to p? (a) 45 (b) -3\/2 (c) 4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-140) - 32\/30?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 10:22 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 546217 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + 6 + 5 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (1726 + 3 - -4). Let d = -3179 - n. What is d rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19723757.\nAnswer: 17, 1160221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/10)\/(16\/(-60))*8. Solve -3*m = -d + 27 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/14469 and 31\/14?\nAnswer: 28938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 5. Let t be c(5). Are t and 4\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64255 is divided by 1795?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*t = -t + 25, 269*u - 11*t = 271*u - 18*t - 68 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.5 + 7. Let y = 151 + -152. Which is the nearest to y? (a) m (b) -0.1 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmtttm. What is prob of sequence mttm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2156 - -2 - (2 - -2). Suppose -5*d - 987 = -2*a, -4*a - 2*d + z = 120. Does 37 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5791151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 4) + (22 - 31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 6*(sqrt(76) + sqrt(19)) - ((sqrt(475) + -1)**2 - sqrt(19)).\nAnswer: -476 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -54. Let z be (d\/(-2))\/(4\/8). Which is smaller: 1\/46 or z?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1529189*q**2. Let h(w) = 4*w**2. What is z(h(t))?\nAnswer: 24467024*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 753127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 947156080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470, 489, 528, 593, 690, 825?\nAnswer: 1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31454\/735 or 42?\nAnswer: 31454\/735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + -7 + 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699 - 769 = -11*r - 4*u, 2*r - 272 = -2*u. Solve 0 = r*h - 139*h - 42 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -232 - -166. Let l(k) = -k**2 - k. Suppose 6*q = 5*g + 9*q + 45, 2*q = -g - 16. Let y(b) = 12*b**2 + 11*b. What is c*l(p) + g*y(p)?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3409 + 3699. Sort k, -3, -1 in increasing order.\nAnswer: -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 27. Let d(i) = -3*i - 81. Let t(z) = 2*d(z) + 7*f(z). Calculate t(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2. Let h(s) = -5*s + 5*s - 3*s - 4*s. What is h(j(f))?\nAnswer: 35*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 59 = -2*s + 49, -h + 7*s = 1669 - 1282 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n**2 - 3 - 4*n - 10*n**2 - 3*n. Suppose 2*f + 3 = f. Give v(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38450 = -l + 4*o + 38508, 2*l + 3*o + 7 = -42 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -94 + (-7 - (25 - 68) - 23).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 648043, 1295945, 1943847, 2591749, 3239651, 3887553?\n\"Answer: 647902*n + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d - 29*d**2 - 38*d - 36*d**2 - 20*d. Let z(n) = -33*n**2 - 24*n. Let s(w) = -2*q(w) + 5*z(w). Find the second derivative of s(y) wrt y.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 81*o + 2268. Calculate the smallest common multiple of a(-103) and (2\/(-4))\/((-2)\/140).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6855)\/(-8226)*((-7)\/(-20) + 2\/(-10))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611282.\nAnswer: 2, 7, 47, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1180, 2, -1, 4, 5.\nAnswer: -1, 2, 4, 5, 1180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107771 or 107773?\nAnswer: 107771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-772)\/2895)\/((-34)\/(-5))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10737 + 10735 - 892*v**2 + 74*v**2 - 21472. Let o(t) = -t**2. Determine o(x(c)).\nAnswer: -669124*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 6\/11*s**3 + 0*s - 1\/22*s**4 - 20\/11*s**2 - 95. Factor m(o).\nAnswer: -2*o*(o - 5)*(o - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {j: 3, q: 9, i: 4}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(196)*-5 - sqrt(196))\/(sqrt(4) - -2*sqrt(324)))\/(-6*sqrt(700)*-2*2)*-3.\nAnswer: 11*sqrt(7)\/1520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 21*s**2 + 24*s**2 - 45*s**2 + 131*s**3.\nAnswer: 131*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(14\/9)\/(r\/(r**9\/r)))**(3\/19) assuming r is positive.\nAnswer: r**(77\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 - 414 = -5*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -851 + 867. Suppose 3*l = l + 36. What is the smallest common multiple of l and o?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4050\/162*(1350\/(-26) - 2). Let x = y - -1349. What is s in -14\/13*s - 2\/13*s**2 - x = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/11471 or 0?\nAnswer: -10\/11471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.55 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 802738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**4*y + 5473*p**3*y + 3568*p*y + 3 wrt p.\nAnswer: 24*p**2*y + 32838*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2131956 rounded to three decimal places?\nAnswer: 0.213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7670, -7309, -6710, -5873, -4798?\n\"Answer: 119*z**2 + 4*z - 7793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*a**2 + 0*a**2 + 5*a**2 + (2*a + a - 5*a)*(0*a + 2*a - 3*a) - a**2 - 3*a**2 + 2*a**2 + (3*a + 3*a**2 - 3*a)*(3 - 2 - 3).\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, r: 2, y: 5}. Give prob of sequence yyqy.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 111948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/60 + w**4\/4 + 5*w**3\/6 + 24*w**2. Let f be i(-6). Sort -3, 4, f, -5.\nAnswer: -5, -3, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832*w + 804*w + 120 = 4*t, -17*t = 85 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -7\/6*h**3 - 1\/15*h**5 + 7*h**2 + 0*h + 13 - 1\/120*h**6 - 5\/24*h**4. What is k(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -0.5 (c) 1 (d) 1482 (e) -8\/3 (f) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -3. Is 161 - (-5 + 8 + l) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11459, -11467, -11475?\nAnswer: -11483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -206? (a) 3\/8 (b) 0.5 (c) -1 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33333 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184156.\nAnswer: 2, 7, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*o - 42, 58 = 3*a - 0*a - o. What is the remainder when a is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/100 - 48\/(-10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*l - 633 = -678, -4*u + 2*l + 60 = 0. Solve -5*y - 35 = -u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, t: 16}. Give prob of sequence ee.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1623 and 1623 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*c - 921 + 90 = 87*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -57*k**3 + 19*k - 11*k - 15*k + 56*k**3 + 5*k**2 + 5*k**2 - 9. Suppose 0*p - 4*p = -36. Calculate m(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (0\/(-3) - 0). What is the lowest common multiple of 1 - (-5 + d - 19) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:54 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s = 0. Suppose 4*g - 3*y - 163 = s, y - 27 - 52 = -2*g. Let o = g - 23. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 419133724 to the nearest 100000.\nAnswer: 419100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:47 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2344 - 13404414?\nAnswer: -13402020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 770\/(-220)*24\/21*1. Let g be ((-6)\/(-10))\/((-3)\/(-2)). Which is the nearest to g? (a) v (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/16*6\/(-3). Suppose -5*g + 25 = -0*g. Let x = -23.5 - -23. Sort g, o, x in increasing order.\nAnswer: x, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(6048) + sqrt(6048)*-1 + sqrt(42) - (sqrt(420)*-1)\/sqrt(10))\/(sqrt(96) - (-3*-1*sqrt(96) - sqrt(96))))**2 + -4).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 3, w: 5, x: 3, c: 6}. Give prob of picking 1 w and 3 x.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 29 + 7. Suppose -3*d + 49 = -2. Suppose d*i = 13*i + 104. What is the remainder when i is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/4 - 78*i + 2025 = 0. Calculate i.\nAnswer: 50, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-32)\/(o\/(o*o**(1\/49))))**1 assuming o is positive.\nAnswer: o**(-1567\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 18. Let w be t(-8). Suppose -w*h = -9*h + 111. Let p = h - -34. List the prime factors of p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 33*c - 23 = 0. Is c + (486 - (-9 - -5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 12*s**2 - 12*s - 6. Let n be z(-11). Let r(m) = -19200*m - 1 + 1. Let u be r(n). Round u to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55830.\nAnswer: 2, 3, 5, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Suppose -4 = -2*q - 0*q. What is the first derivative of 0 + q - 3 + 2*u wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a - 21. Let x(l) = 3*l - 10. Let q(c) = 2*g(c) - 5*x(c). Differentiate q(i) wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuouuuuouuuo.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 0 + 4 - 16*s**2 + 2. Let l(n) be the first derivative of -n**3 + n + 3332. Give -2*b(r) + 11*l(r).\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/41600*20)\/((-1)\/15)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 8. Let p be o(12). Suppose 4*g - 36 + p = -5*y, 2*g + 10 = 4*y. Solve 2*n + 6 = v, 0 = -4*v + y*n - 3*n - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2891804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5255536 and 968.\nAnswer: 57810896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/(54\/60*1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - 1554\/(-108))\/((-15)\/(-8) - 2). Are -59 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 2812.\nAnswer: 50616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1621917 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 272*n + 2124.\nAnswer: 4*(n - 59)*(n - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -79327 and -370604321.\nAnswer: -370683648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5\/4)*u**(-31)*(u**24)**(2\/41) assuming u is positive.\nAnswer: u**(-5097\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1445.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 5. Let w be b(-5). Let r(k) = 3*k**3 - 15*k**2 + 7*k - 2. Let g be r(5). Let q = g - w. Calculate the highest common factor of q and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2941720 and 29300.\nAnswer: 14708600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 321*m**2 + m - m + 305*m**2. Let f(p) = -31*p**2 + 119*p**2 - 86*p**2. What is f(b(v))?\nAnswer: 783752*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -530 - -553. Suppose 16802 = a*b - 3047. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**18\/(h**(-3\/5)\/h) assuming h is positive.\nAnswer: h**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**23)\/l**(-1\/24))\/(l**(-1\/23)\/((l**35\/l*l)\/l)) assuming l is positive.\nAnswer: l**(6671\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290 = 182301*l - 182311*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -185 + 188. Solve -5*y + n = 4*p, -3*y - 11 = -p - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -1\/2*z**5 + 0 - 1\/3*z**3 + 11*z - 1\/12*z**4 - z**2. Does 3 divide h(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**3 - 9*g**3 + 10*g**3 + 7*g**3.\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2588, 2586, 2576, 2552, 2508, 2438?\n\"Answer: -l**3 + 2*l**2 - l + 2588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -2)\/((-4)\/(-2)). Solve 4*t - 4 = -d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12\/13, 4, 3, 5 in decreasing order.\nAnswer: 5, 4, 3, -12\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = u + 9 - 0, -2*k - 2 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/21 (b) -1 (c) -5\/4 (d) 3\/88 (e) 8 (f) -2\/3 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48) - sqrt(96)\/sqrt(2)*-4 - sqrt(48) - sqrt(48))\/sqrt(3))\/(sqrt(40)\/(sqrt(5) + sqrt(125)*-2)))**2.\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 1, p: 1}. Give prob of picking 1 t and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.049 + -0.249. Let o = -1 + 0. What is the closest to o in 0.5, h, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 9:24 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 5273286?\nAnswer: -5\/5273286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13591, -29444, -47551, -67912, -90527?\n\"Answer: -1127*j**2 - 12472*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 921 and 6?\nAnswer: 1842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 189 = 64 + 57. Sort 0, -316, v, -5, -2 in decreasing order.\nAnswer: v, 0, -2, -5, -316","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 1. Let f(b) = -2*b + 5. Let l(z) = -2*z + 4. Let u(a) = 3*f(a) - 2*l(a). Determine 5*c(i) + u(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 4*v**2 - 4. Let q(u) = u**3 - 2*u**2 + u + 1. Let h(r) = -3*r**3 + 5*r**2 - 4*r - 1. Let n(s) = h(s) + 4*q(s). Give 3*a(t) + 4*n(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 3:28 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 - r**3 - 14836222*r**2 + 23*r + 482195 wrt r.\nAnswer: -12*r**2 - 6*r - 29672444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -13. Let f(o) be the second derivative of o**4\/2 + 3*o**2 - 4*o - 7. Let g(h) = -h**2 - 1. Determine b*f(c) + 5*g(c).\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 455157613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*y**6 + 57*y**5 - 4554*y**2 wrt y.\nAnswer: 1200*y**3 + 3420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -1)*-4.\nAnswer: -8*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - -1 - (62 + -49).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 50*a + 93. Calculate f(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 - 4*r + 1. Let s(n) = n - 3*n - n + 3*n**2. Suppose -g = 3*c + 17, 0 = 4*g + 20*c - 23*c - 7. What is g*v(l) + 3*s(l)?\nAnswer: l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*b + 65*b - 547 = -139 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from yuyvujuyyyvyjvyy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(50))*1 + -3*sqrt(250)\/sqrt(5) + (-1 + sqrt(300)\/sqrt(6) - (sqrt(50) - (sqrt(6050) + 5))))**2.\nAnswer: 270*sqrt(2) + 4059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -78280750 divided by 920950\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 86612.\nAnswer: -86615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000118867 rounded to six dps?\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*q = -260 - 73 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 37. Let s(a) = -8*a**2. What is t(s(n))?\nAnswer: 24*n**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2162400 and 40.\nAnswer: 2162400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g*m**5 + 3*g*m**2 - 20140549*m**3 - 2498*m**2 - 4395*m wrt m?\nAnswer: 120*g*m**2 - 120843294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n = 0, 5*a - 825 = -n. Is a a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -970695.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3d (base 16) to base 9\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4595.76 to the nearest one hundred.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/36)\/((-3)\/(-9)) + 154\/40\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 47, 2, -5, 4 in descending order.\nAnswer: 47, 4, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -865737*l**2 - l + 614680 wrt l.\nAnswer: -1731474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 213927.1ug?\nAnswer: 0.0002139271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12196 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 56581, -1\/2, -7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**4 - 4*n**4 + 5*n**4)*(-108*n + 55*n + 44*n).\nAnswer: -18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -916*z - 13512. What is m(-15)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - k + (-5 + 1 + 2)*(-1 + 1 + k) + (-2 + 3 - 3)*(-2*k + 0*k + 3*k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13fd - 166?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 248061113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179181 is divided by 10537.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**34\/w)**12*(w**(4\/15)*w*w)\/(w*w**(-22)*w) assuming w is positive.\nAnswer: w**(6274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*v - 569*v - 5983 = -429*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -104*v**2. Let u(x) = -x**2 + x + 1. Let j(s) = s**2 - 2*s - 2. Let r(m) = -j(m) - 2*u(m). Give w(r(a)).\nAnswer: -104*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/((-66)\/11) - -27. Suppose 2*l = 3*i, i + 6 = -2*i + 4*l. Solve 6*b = i*b - g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + 2*g**3 - 5*g**3 - 2*g**4 + (-2*g**3 + 3*g**3 + g**3)*(-5*g + g - g).\nAnswer: -12*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -124?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 8*k**2 - 8*k + 6. Let z be q(-9). Let l = 1 - z. Let v = 9119 - 9122. Which is smaller: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 3*d - 3. Suppose -3*b - 2*u + 32 = 0, 0 = 3*b + 3*u + 2*u - 44. Suppose -4*s + 5 = -3*i, 0 = -2*i - b*s + 3*s + 35. Determine z(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 12*j**2 + 13*j - 21. Let u be v(11). Suppose -u - 47 = -2*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:56 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 1:41 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -p - 4*s - 10, 0 = -3*p + s. Let r be 6 + p + 3 + -5. Let z be (-54)\/(-24) + r\/4. Round z to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*(-1)\/(-2)*-1. Suppose p*j - 5 = 4*v, -v + 4*j - 3*j = 1. Let k(y) = y**3 + 5*y**2 - 2*y - 7. Let m be k(-5). Solve m*w - 6 = -v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29964.15 from -45367629.\nAnswer: -45397593.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -148*l. Let c(y) = 8*y**2 + 15*y. Give c(f(d)).\nAnswer: 175232*d**2 - 2220*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*1*(-216)\/540. Let m(r) = 3*r - 55 - 56 - f*r + 116. Calculate m(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59840 is divided by 14672.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15718 and 69774.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 72.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*v = -0*v + 1647 - 1421, -8*d + 206 = 3*v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*s**3*z**2 - 14*s**3*z + 6*s**3 - 64*s**2*z**5 + 28*s**2*z - 2*s*z wrt z?\nAnswer: -100*s**3 - 1280*s**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 + 2 + -7)*(-131)\/36 and 4\/27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 301560133 by 2.\nAnswer: 301560133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 270c51b5?\nAnswer: 270c51b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 270030 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, s: 1}. What is prob of sequence gsg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(27) + 1 - (6*(sqrt(192)*-1 + sqrt(192) + sqrt(3)))**2.\nAnswer: -107 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 - (1 + -1)) + 1. Factor -5*y - 2 + 3*y**5 + 10*y**2 - a*y**3 + 3 - 4*y**5 + 5*y**4.\nAnswer: -(y - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 6*q**2 - 11*q + 11. Suppose -1 + 3 = 2*o. Suppose o = 2*s + 19. Is v(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 8, -4, 2 in decreasing order.\nAnswer: 8, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1677 + 377. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 116042789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1 - 3*q - q + 0*q - 3*q**2. Let i be (-12)\/(-72) + (0 - (-58)\/12). Let m(b) = -b - 2. Let c be m(-1). Let w(v) = -v**2 - v. Give c*k(y) + i*w(y).\nAnswer: -2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-186)\/1551*14 - (-2668)\/62698\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -287, 9, 3\/5, -0.804 in descending order.\nAnswer: 9, 2, 3\/5, -0.804, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jij when three letters picked without replacement from jiiijijmriijiririiji?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143.9 - -134. Let o = f - -10.9. Let g = 2\/67 - 274\/201. Which is the closest to 5? (a) o (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 - 3*t**2 + 2*t**2 + (-t - 4*t + 3*t)*(0*t + 0*t - t) + (t + t + 0*t)*(8*t - 9*t + 11*t) + 2*t - 2*t**2 - 2*t.\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24504)\/(-72) + 2\/(-6). What is b rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152872954?\nAnswer: 2, 13, 61, 113, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4592 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + 3 + -4*sqrt(208)*2*3 + 4.\nAnswer: -96*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29\/901 + 134945\/21624. Let y = -131\/40 + j. Find the common denominator of y and (55\/(-18))\/(6 - (-9 + 352\/24)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = 4, -y = 4*h - 159. What is the remainder when h is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/34*(-38)\/(-418).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 1, d: 4}. Give prob of picking 1 v and 1 d.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101645 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/60 - ((-4)\/(-5) - 6832\/240). Let j(k) be the first derivative of 25*k + 5\/3*k**3 + 15*k**2 - r. Solve j(t) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-2 - -1)*3. Let y(t) = t**3 + 2*t**2 - 2*t + 4. Let r be y(f). Let o = 18 + r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22b88a (base 13) in base 2?\nAnswer: 11001001011111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quy when three letters picked without replacement from {q: 2, l: 1, y: 1, u: 1, p: 1, k: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -18628340147?\nAnswer: 18628340142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 32*z + 64 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h**2 - 2*h**2 - h**2 + (1 - h - 1)*(3*h - 3*h - 3*h) to the form i + y*h + p*h**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5156219?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 6, 2*x + 18 = b - 6. What is the remainder when 72 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 3*r + 2. Let w(m) = 3*m**2 + 8*m - 6. Let s = 13 - 9. Suppose g + 12 = -l, 5*g + 44 = s*l - 7. Let a = -32 - -28. Calculate a*w(y) + g*z(y).\nAnswer: -y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 - 115. Put 2, i, -14 in decreasing order.\nAnswer: i, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 + 2*v + 1. Let h = -7 - -40. Let y = h + -31. Suppose y*n = n - 1. Determine w(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*h - 326*h - 96048 = 0. Is h a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*d + 11*d = 12, -d + 14 = -5*j. Let a(x) = -42755*x - 10. Let r be a(j). Round r to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21720, 40026, 58354, 76710, 95100, 113530, 132006, 150534?\n\"Answer: l**3 + 5*l**2 + 18284*l + 3430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrqrqrrrrrrrrq?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109130 and 2324?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 73*s - 37 = 77*s, 4*s + 38 = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 4*h**2 + 2*h + 11. Let g be x(4). Suppose -a + 554 = g. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.188941 times 345\nAnswer: 65.184645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 250 - 45. Factor -419*g + 6*g**2 - 10 + 209*g + v*g + 4*g**2 + 5*g**3.\nAnswer: 5*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 28*k = -60. Let x(s) = s**2 + 2*s - 37. Let q be x(k). Let l = -4.01 - -0.01. What is the third biggest value in 0.3, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 397136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-4)\/18*-45*19\/1045?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -2 - (-9 - (2 + -8)). Suppose -12 = -3*j + c*a, -4*a + 8*a = -3*j + 12. Let o(d) = 13*d**2 + d + 5. Does 31 divide o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, b: 7, z: 4}. What is prob of picking 1 e, 2 z, and 1 b?\nAnswer: 49\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 96*h**2 - 74*h + 3566. Calculate i(48).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-10) - 49\/(-35)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -25, 35 = -201*j + 205*j - 3*p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 8*d + 2*v + 269, 1052 = 4*d + 4*v. Suppose d = -3*x + 1423. What is x rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 60 + 88. Suppose 3*h + 2*d = 140, -3*h - 2*d = -6*h + r. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 times 4\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + 1 + -5*5*sqrt(162)*-1))**2.\nAnswer: 9000*sqrt(2) + 405100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 30. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002165693913 to seven dps.\nAnswer: -0.0002166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34048601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*o + 752 = 0, 5*l - 3*o = 1281 + 664. What is the lowest common multiple of 8 and l?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 4*a. Let y(w) = -w - 117 - 3*w**2 + 127 + 2*w - 11*w. Let s be y(1). What is the units digit of f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12)\/(-30) - (-2622)\/(-4580) and -127\/1374?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -61.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 6*o**2 - 5*o + 3. Let r be x(4). Suppose -2*f = 2*w, -6*f = -f - r. Let u(n) = -3*n**3 + 3*n**2 - n - 3. What is the hundreds digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1719947, -3439915, -5159883, -6879851, -8599819?\nAnswer: -10319787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5*n - 25, 10708*z - 10715*z = n - 15 - 28 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*((i\/i**(-18))\/i)\/i*i)))**(-2\/29) assuming i is positive.\nAnswer: i**(-38\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0344473ug in milligrams?\nAnswer: 0.0000344473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -297794 bigger than -297795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyyyyvayuaauaahaua. What is prob of sequence hh?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -31776 less than 2.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*(sqrt(88) - (sqrt(88) - -2*sqrt(88) - sqrt(88))*-1 - sqrt(88)))\/(sqrt(242) - (6*2*sqrt(242) + sqrt(242))))**2 + 0.\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 - 94*b + 39. Calculate c(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1431334 (base 5) to base 9.\nAnswer: 45406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - -0.38. What is the second biggest value in 2\/11, -1\/6, q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 13.2. Let i = u - -1.8. Let c = 2.0008 - i. Round c to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55510 (base 7) to base 5\nAnswer: 421342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99990237.\nAnswer: 3, 103, 151, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20216, 80914, 182086, 323738, 505876, 728506, 991634, 1295266?\n\"Answer: u**3 + 20231*u**2 - 2*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9340 + -9351. What is the nearest to -1\/4 in 0.1, m, 5, 1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8809.79ml to litres.\nAnswer: 8.80979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + c - 7. Let j be x(-6). Let b be 272\/(-9) + (-4)\/(-18). Let q be j\/60 + 4\/b. Do 2\/17 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305963 - 305790 + 611753 - 3*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*v + 13, -z + 5*v = -0*z - 17. Suppose -34 = -2*p + p. Calculate the remainder when p - -2 - (4 - z) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47125*t**3 - 11793 wrt t.\nAnswer: 141375*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -697.75? (a) -1\/13 (b) 2\/7 (c) 1\/4 (d) -4 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7760148809?\nAnswer: 7, 1108592687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1396 < 669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -q + 15. Suppose 26*x - 452 + 140 = 0. Calculate the greatest common factor of q and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6366\/13 and 489 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -12814348?\nAnswer: -12814350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*h - 1 + 141*h + 351*h - 820*h.\nAnswer: 78*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (-1 - 12) + 453 + -431.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 177 = 4*d, -4*o + 381922 = -3*d + 381693 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27805, 55610, 83417, 111226, 139037?\n\"Answer: l**2 + 27802*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1\/10802?\nAnswer: -1\/10802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 334, 5877, 20918, 50203, 98478, 170489, 270982?\n\"Answer: 791*q**3 + 3*q**2 - 3*q - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265525*b**3 + 30679*b**3 + 3437*b**3.\nAnswer: -231409*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 38994. Let g(h) = -3*h. Calculate t(g(v)).\nAnswer: 6*v + 38994","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = b - 3*m, -496 = -b - 0*m + m. Calculate the remainder when b is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**2*m + 388*f*m wrt f.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 106.\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-28)\/(-350) + 31\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -96*s**2 - 6932*s - 1444. What is n(-72)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 2)*((0 + 5 - 2)*(2*f + f + 8*f) + (4*f + f + 3*f)*(-1 + 4 - 2))*(5 - 2*f - 5) to v*f + c + n*f**2 and give n.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from kjvoquv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -94*w**2 + 2*w - 4. Let t be p(-7). Let m = t + 46291\/10. Calculate the common denominator of -23\/7 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 5*l, 5 = 3*c - 6*c - 4*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004154114 rounded to 6 decimal places?\nAnswer: 0.000415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 988811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, p: 2}. Give prob of picking 3 v.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*16\/(-28)*(-1)\/((-4)\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) -1 (c) -5 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 m, and 1 x when three letters picked without replacement from {x: 6, l: 2, e: 3, m: 2}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 888959312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156357 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/40)\/(-1)*175\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 368511*6\nAnswer: 2211066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4856, -19929, -45052, -80225, -125448, -180721?\nAnswer: -246044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 1:15 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4\/8 - 1643*p**3\/8 - 25123*p**2\/2 + 222423*p\/2 - 170532 = 0.\nAnswer: -1579, -72, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -59*q + 2412. Determine g(41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70478649?\nAnswer: 3, 7830961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90982365.\nAnswer: 3, 5, 23, 31, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 81\/15 + 4\/(-10). Let u = -2 + 10. Suppose 3*r - w = u, 0 = 3*r - 2*r + p*w - 24. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 203153 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, y: 2}. What is prob of sequence kyy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4015414 - 161?\nAnswer: -4015575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20 - 3830\/(-110)) + (-2)\/(-11). Which is greater: 433\/8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l. Let n(g) be the first derivative of 22 + 1\/2*g**2 + 0*g. Determine n(u(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2319 and -0.5?\nAnswer: -1159.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(3\/4)*y)\/(y*y**(2\/49))*(y*y\/(y\/y**(1\/22)))\/(y\/(y*y**(10\/9))) assuming y is positive.\nAnswer: y**(45905\/19404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77b9b - 4?\nAnswer: -77ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -11. What is the remainder when 10 is divided by 18\/k*(-20)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 315*g**2*r - 213*g*r + 3 wrt g.\nAnswer: 630*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88, 868, 3002, 7168, 14044, 24308?\n\"Answer: 113*u**3 - u**2 - 8*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-655)\/393)\/(29\/6 + -4). Let f be (-4)\/(-6) + (-8)\/15. Put 5, c, -1\/11, f in descending order.\nAnswer: 5, f, -1\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3400 - -3400. What is the biggest value in f, 42, -5, -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4 - 8 - (5 - 9)) + 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11849)\/(-1640) - -5*3\/(-24). Solve 3\/5*x**3 + f*x + 18\/5*x**2 + 18\/5 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 8. Let z be 1562\/(-426) + 2\/3. Let y(t) = -1. What is z*y(a) - l(a)?\nAnswer: -a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -31. Suppose 0 = -z - 5*d + v, -z - d + 6*d = 17. What is the second derivative of 2*c**z - 18*c + 6*c + 7*c wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = -0*d. Solve d*o = 6*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzcbczzxbxfzxxxzzxbf. What is prob of picking 1 n, 1 z, and 1 c?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 6, 13 + 11 = -l - p. Let u = 22 + l. Let o be (30\/(-6))\/(-5) + u*4. Solve o*q = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**7*k**(2\/7))\/(k*k**3*k**(-2\/13))*(k\/((k*k\/k**8*k)\/k)*k\/k**(4\/3))\/(k*k**(1\/2))**47 assuming k is positive.\nAnswer: k**(-40073\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*j - 136*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (8 - 2 - 7 - 2 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-10))\/(6\/90). Let z(c) = -c**3 + 6*c**2 + 4*c - 9. Let r be z(o). Solve -4*j - r = s, -2*s - j - 1 = -6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from xxcxcxccxxdddyccx.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0)*(0 - (1 - 3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1025953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**3 - 2*v**2 - 3*v. Let t(l) = 4*l**3 + l**2 + 2*l. Suppose -2*h - 182 + 186 = 4*j, 2*j = 10. Determine h*t(g) - 5*y(g).\nAnswer: -2*g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 117*v**2 + 114*v.\nAnswer: 3*v*(v + 1)*(v + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 6:25 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 255350025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/682)\/((-2)\/4*-1)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3333302 (base 4) to base 9.\nAnswer: 24408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 616.7356um in millimeters?\nAnswer: 0.6167356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97379 + -53968. Suppose -13*n + w = 12744. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -0.1 (c) 9\/5 (d) 2\/29 (e) 4\/9 (f) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*x + 99, -2*x - 3*x + 120 = 5*u. Suppose -5*l + 36 = 2*q, 5 + u = 3*l - q. Let w = -4 - -14. What is the smallest common multiple of w and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -1, 337.\nAnswer: -10, -2, -1, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 14*z**2 + 1. Suppose 9*n - 553 = 1085. Suppose -n*c + 42 = -185*c. Give a(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-243)\/(-27) - 13)*(-54)\/21. Factor -24*k - y - 2\/7*k**4 - 4*k**3 - 122\/7*k**2.\nAnswer: -2*(k + 1)**2*(k + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2*a**3\/3 + 16*a**2 - 30*a - 5206. Factor u(l).\nAnswer: -2*(l - 15)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3217*a - 3212*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10*(-2)\/4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 122002 (base 3) in base 11?\nAnswer: 38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/((-6)\/(-63)). Let i be 4\/35 + 2\/v. Factor -2\/5*q**3 + 2\/5*q**2 + 0 + i*q - 2\/5*q**4.\nAnswer: -2*q*(q - 1)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Let r = j - 4. Let x = r - -5. Which is the second biggest value? (a) -2\/5 (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 108*v**4 - 48997*v**2 - v + 27911607.\nAnswer: 432*v**3 - 97994*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 = 27*a - 55*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -34. Let d = -166122 + 166149. What is the greatest common divisor of j and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -1526\/519?\nAnswer: -1526\/519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447867 is divided by 447003.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/(n**4\/n)*((n*n\/n**(-13))\/n)\/(n*(n*n\/(n*n**(-7)*n*n))\/n))**10 assuming n is positive.\nAnswer: n**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/7 - 428*v**2\/7 + 6392*v\/7 - 1584 = 0. Calculate v.\nAnswer: 2, 14, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -54. Suppose 22*d - s*d + 18 = 0. Calculate the least common multiple of d and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*v - 39, 4*d + 5*v = -0*d + 73. Let w = 17 - d. Calculate the highest common factor of 15 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 10*j**2 - 8*j - 8. Let x be i(9). Let d = 1 + x. Solve 0*p - d*p - 14 = 2*q, -18 = 4*q - p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7 - 3*g + 0*g + 2 + 4*g. Let p be y(-5). Let f be 4\/((-8)\/p)*1. Solve -3*x = 3*s + s - 18, -f*s = -2*x - 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-7)\/2 + 2\/4. Suppose 3*f - 5*q + 6 = j, -2*f + 6*q + 9 = 7*q. Solve 5*x - 20 = -5*h, -2*h + 7*h = -f*x + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b = 2*y - 7, -5*y + 5*b + 10 = 0. Suppose 5*p + 3 = 4*f + 6, p + y = 0. Let c be 2*4 - (1 - f). Solve 0 = 5*u - c + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 34 = -f, 4*d + 4*f = 3*d + 22. Suppose d*i - 2*i + 260 = 0. Let w = -45 - i. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 13*m + 11. Let s = 397 + -410. What is u(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/242 and 75\/308.\nAnswer: 3388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4 - 8 = 4*u - 6, -16*u = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Let w = -19 + 21. Suppose q = w*v - 10. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -1\/2, 5, 3, -3.4, -25 in decreasing order.\nAnswer: 5, 3, 4\/9, -1\/2, -3.4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, -2\/127, -2\/7, -0.3, -3.9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4 + 48*d**3 - 126*d**2 - 8*d + 168 = 0. Calculate d.\nAnswer: -1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**4\/6 - 14*p**3\/3 - 49*p**2 + p - 6. Factor i(b).\nAnswer: -2*(b + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289\/849 + -2\/283. Is u less than 1335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b - 8 = 0. Let a be (-45)\/(50\/10) + 5. Sort b, a, 1\/11 in increasing order.\nAnswer: a, 1\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 + 1451*f - 102595. What is d(-349)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188604.\nAnswer: 2, 297151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.195 and -5.\nAnswer: -0.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/48 and -43\/176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-14 + -6 + 35 + -36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, 2, -4, -3 in descending order.\nAnswer: 2, -3, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9635628*p**3 - p**2 + 28079406 with respect to p.\nAnswer: -28906884*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2036120709?\nAnswer: 3, 7, 96958129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x + 7. Let l(t) = -t + 2. Let g(b) = -2*d(b) + 9*l(b). What is g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:57 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 18078 divided by 393\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80\/109 - 75869\/103223. Let z = w + 88075\/3788. What is the common denominator of z and 89\/34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26, -43, -46, -29, 14?\n\"Answer: m**3 + m**2 - 27*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**4\/24 - 5*a**3\/3 - 5*a**2\/2 + a. Let t(q) be the first derivative of h(q). What is t(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 639906 and 11868.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 200888*i*j**2*q - 21*i*j*q + 4*j**3*q + 2*j**3 + 7114*j wrt j?\nAnswer: 401776*i*q + 24*j*q + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 18, 5, 3, 6, 56 in descending order.\nAnswer: 56, 36, 18, 6, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -665576*y**3 - 3189948?\nAnswer: -1996728*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/24*45\/(-2). Is 27 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 40. Suppose 7*c - 9*c - 30 = 0. Let p = c - h. Solve -8 = -2*o - p*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/7)\/(((r\/r**(-6))\/r)\/r)*r*r\/(r\/(r**(-3\/5)\/r))*r*r**(-2\/7) assuming r is positive.\nAnswer: r**(-181\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 21*w**4 - w + (-1 - 8 + 1)*(-4*w**4 + 2*w**3 - 2*w**3) - 2*w**4 - w**2 + w**2 in the form n*w + u*w**2 + m + i*w**4 + c*w**3 and give i.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93521559*u**3 + 65384022.\nAnswer: 280564677*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -441, 1325, 3091, 4857?\nAnswer: 6623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + 0.34. Let s = 0.5 - 0.4. Let v = 0 - s. Which is the closest to v? (a) w (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 4*d**3 - 6 + (-4*d - d + 3*d)*(8 + 3*d**2 - 8) - 2*d + d**3 + d + 0*d**3.\nAnswer: -d**3 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.23 and -7277053032.\nAnswer: -7277053032.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 6:39 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h - 81. Let l be i(21). Let d = 273 + l. Solve -4 + 19 = -d*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 times -0.1297559?\nAnswer: -9.6019366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/20 - (18\/(-8) + 2). Solve -4*p + h = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 29*o - 24. Let y be c(-29). Let i = 1341 - y. Is i a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Calculate the smallest common multiple of 6*n - (-4)\/(-2) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17195, 2, -5, 411 in descending order.\nAnswer: 411, 2, -5, -17195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -623, -142, 5, -3\/4, -5 in decreasing order.\nAnswer: 5, -3\/4, -5, -142, -623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.5 (c) -14547\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -135*n**3 - 21*n**2 - 2*n - 41512 wrt n?\nAnswer: -405*n**2 - 42*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w**2 - w + 3. Let p be s(0). Suppose -d = -p*z + 22, 3*d - 1 = -2*z + 21. Calculate the remainder when 15 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b**3 - 60*b**3 + 117*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 416.18\nAnswer: -1664.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13 - -9 - -1*5. Let y be (-8 - 161\/(-14))\/(m\/(-2)). Let t(u) = -2*u - 14. Calculate t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*j*v**2*z**2 + j*v**2*z - j*z**2 + 273*j + 322*v**2 - 2*v*z**2 + 2 wrt v.\nAnswer: 32*j*z**2 + 2*j*z + 644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37442613 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 4*t + 3. Let c be w(-4). Suppose -c*z + 6 = -6. Suppose -28 = -3*y - z. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1357 and 4094.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400)\/(-640)*(-16)\/6.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(sqrt(68) + 3) + 0)*1.\nAnswer: -12*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2734*s**3 - 461*s**2?\nAnswer: 16404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m = 0. Let i = -29012 + 29017. What is the second smallest value in -11, -1, i, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1678730 to the nearest ten thousand.\nAnswer: -1680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12617952*b**2 - b - 12617952*b**2 + 2*b**3 + 2*b**3 + b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 2*u - 16, 171 = -w - 2*u + 187 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 88812 = 8*a. Let w be a\/55170 + 12\/(-20). Let c = 2\/613 + w. What is the common denominator of c and 44\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 732*c**2 - 6108*c - 520608.\nAnswer: -3*(c - 232)*(c - 34)*(c + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 12*i = -9*o - 37, 4*o - 10 = -i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -96, -174, -238, -282, -300?\n\"Answer: n**3 + n**2 - 88*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**16*j)\/j*j))\/(j*j**(7\/2)) assuming j is positive.\nAnswer: j**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 356183964 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 601735 and 6376?\nAnswer: 4813880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 29. Let y(o) = 3*o**2 + 5*o - 13. Is y(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 5\/(-2))\/((-11)\/88). Let v be (-29)\/a + (-4)\/16. Let c be (6\/v)\/((-195)\/(-182)). Sort -3\/5, c, 3 in ascending order.\nAnswer: -3\/5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**2\/2 - a - 742. Let x = 8 - 9. Let j(v) = v**2 + 8*v - 9. Calculate x*j(z) + 6*t(z).\nAnswer: -z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127462387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -42. Let s = 59123\/867 + -15\/578. Let b = -68 + s. Which is smaller: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 1 + 5 + -4. Suppose 3*k = -k - 3*t + 207, u*k = 4*t + 172. What is the greatest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5084443 and 217238.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 1. Let v be (-60)\/(-15) - 0\/2. Calculate j(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2332867 is divided by 812?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.001045 + 0.001. What is w rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 20*g**2 + 92*g - 73. Calculate q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 709.\nAnswer: 3\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 141 + 546. Is (r - -1) + (-8 - -9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50825817 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 49 = 4*x - 51, 3*f = x + 6. Suppose x = 5*l + 954 - 7594. List the prime factors of l.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67349374 to the power of 1\/2, to the nearest integer?\nAnswer: 8207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 761 + -916. Let l = 478 - r. List the prime factors of l.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1003410323 - -2?\nAnswer: -1003410321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3660 and -251.\nAnswer: -918660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8398 = -6*t - 150178. Let f = -12907 - t. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 81, 0, -3 in descending order.\nAnswer: 81, 14, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1)*276\/31602. Let a = 464\/687 - s. What is y in 4*y + a*y**3 + 0 - 10\/3*y**2 = 0?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 15 - 3 = 0. Suppose b = -3*w + 5*q + 25, w - 5*q = 13. Let x be 1\/(w\/(-20))*-3. What is the highest common factor of 30 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247 and 663689?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 522, 778, 1034, 1290, 1546?\nAnswer: 1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.61691 (b) -6\/7 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6046837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -255.67 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8338396010 to the nearest integer?\nAnswer: 91315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*k + 28, -2*k - k - 4*j = -38. Let v be (2 + -3)\/((-2)\/k). What is the first derivative of -10 + 7 - 1 + 3*m**v - 2 wrt m?\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 15 = -2*x, 107*x + 3 = 103*x + d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3957897 is divided by 668.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 2425640?\nAnswer: -2425634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/14*(-20)\/(-7)*(-130 + (-107085)\/(-825))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 19*a + 28. Let q(f) = -2*f**2 - 39*f - 55. Let r(v) = 5*g(v) + 3*q(v). Let d be r(-20). Solve -10*j = -5*j + d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -582*u = 11*u + 3558 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 x when four letters picked without replacement from {x: 4, b: 1, v: 2}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 58232*n - 989933. Give a(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15495816 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6666*z**2 + 72*z + 1. Let w(k) = -2*k - 2. Let u(s) = n(s) + 5*w(s). What is the second derivative of u(p) wrt p?\nAnswer: 13332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/507 and -82\/228735?\nAnswer: 2973555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10976 and 171500.\nAnswer: 1372000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u + 578 - 362 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 11*k**2 + 7*k - 28. Let s be y(-10). Let v be s\/11 + 38\/(-88). Which is the second smallest value? (a) -1 (b) 6\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 589?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 145 = 142. Let r(m) = -4*m - 4 - 2 + 4 + x + 4*m**2. Let o(n) = 3 - 2*n**2 - 5*n**2 - 4 + 3 + 7*n. Give 3*o(l) + 5*r(l).\nAnswer: -l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -6. Let o be -1*(y + 1 + 1). Suppose 0 = f - 3*h + 1 + 10, 3*f + 5*h = 23. Which is greater: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5628833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3229 + -471?\nAnswer: -3700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334, 712, 1090, 1468?\nAnswer: 1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-30100)\/(1032\/(-24)))\/28\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 1, -8, -29, -68, -131, -224, -353?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t - 5. Calculate c(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(72\/(-128)) - (1 + -3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 505 - 3390 - 672 to the form p*w + u + z*w**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * 11.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 385400797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 56?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 6:28 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -11. Suppose s*z = 7*z - 12. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 - 8*k - 12. What is the tens digit of l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 7. Let n(i) = -i - 13. Let v be n(-5). Let u be s(v). What is the highest common divisor of 93 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 6.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.5. Let q be 2 + (-2)\/(-2) + -6. Let j = -15.8 - -16.8. Which is the closest to -0.1? (a) q (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12769 and 12761 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/36 - 0 - 600\/(-27). Let z = 58 - x. What is the remainder when z is divided by 3\/(-2)*(-26)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1366 times 14\nAnswer: 19124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/5, 0.2, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a**3 + 3*a + (-2*a + 3*a + 3*a)*(-2*a**2 + 7*a**2 + 6*a**2))*(-2*a - 2*a + 5*a).\nAnswer: 43*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**4*t - 9*c**3 - 8*c**2*t**3 + 195*c*t**3 + 2*c - t**3 wrt c.\nAnswer: -36*c**2*t - 54*c - 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2693952.49 to the nearest 1000.\nAnswer: -2694000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*y + 24, -y + 3*b + 5 = 17. Let a be 490\/60 + -2*(-1)\/y. Solve 2*l - 4*g = -a, 3*l = 3*g - g - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*h + 941, 0 = -0*h + 2*h - 2*r - 370. Let a = h + -165. What is the remainder when a is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6489160, -6489183, -6489206, -6489229, -6489252?\nAnswer: -6489275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 88\/(-210) + (-4)\/(-14). Let v = 0.09 + 5.91. Let n = v + -6.3. What is the closest to 1 in w, n, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**2*v**3 - l**2*v + 21*l*v**2 + 26*v**5 + 27*v**4 - v**2 + 17 wrt v?\nAnswer: -18*l**2 + 1560*v**2 + 648*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 3*w + 5*w)*(76*w + 37*w - 138*w) + 2*w**2 + 64*w + 1455 - 1455 in the form b + h*w + a*w**2 and give h.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 288 - 265. Suppose 10 + 29 = 3*d. What is the remainder when m is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**6\/120 - 17*c**5\/60 + c**4\/8 + 67*c**3\/6 + 3*c**2 - 13*c. Let g be p(-17). Solve 9*o = 5*o + g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4351 = 4*f - 26799. Does 61 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -654349*w**2 - w**3 + 654349*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 21*h + 22. Let o be v(20). Suppose -o*t - 16 = -4*l, 0 = t + 3*t - 3*l + 7. Solve -t*b = -b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2 + 20*t - 21 = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i + 114. Let u be n(-16). Let p = 25 + -24. Suppose -b + 2 = -p. Solve 2*v = -o - b*o, -v = o - u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 1. Let h be m(0). Suppose -2*u = -5*q + 2, 0*u - 14 = 3*q - 5*u. Let l be 0\/q*(0 + 1). Is h >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heh. Give prob of sequence hh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3483 and 516?\nAnswer: 13932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 6*f**2 + 6*f + 5. Let o be a(-5). Solve o = 3*j - 6*j + 4*s + 9, 4*j - 12 = -s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2550101 (base 6) in base 13?\nAnswer: -4b19c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -6*w + w - 4*p, 0 = 4*w - 2*p - 94. Let j be 54\/((-2)\/(-4) - 2). Calculate the remainder when w is divided by (j\/8)\/(3 + 27\/(-8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + -1*((-2*sqrt(132) - sqrt(132) - sqrt(132))*4)\/(sqrt(12) + (sqrt(432)*2 - sqrt(12))).\nAnswer: 2 + 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49694, -89709, -129724, -169739, -209754, -249769?\n\"Answer: -40015*f - 9679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/24794*23*-7?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18774 and 795351123?\nAnswer: 9387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.961631 microseconds in seconds?\nAnswer: 0.000009961631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1759524.\nAnswer: 5\/1759524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s. Let c(b) = 4*b - 8*b + 7*b. Calculate y(c(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, 2\/13, 2.96?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 787083 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 205*l + 8200. Let n be r(54). Let p be -2 - (-46 - 2)\/1. What is the highest common factor of n and p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 divided by -103?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/519 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09484 - 0.39484. Let s = 1.3 - 3.3. What is the closest to 1\/2 in 5\/4, s, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3332 and -2968?\nAnswer: -9889376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 - 3 - (946 - 782)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491521381 to the power of 1\/3, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -4, 0.3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 80*s + 20. Determine x(35).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.003*16\nAnswer: -32.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50571524 + -15771524. Suppose -5*j + 8*j = h. What is j rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2390 divided by 2.\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 326221 - 1625986\/5. Let d = a + -1019. Factor 1\/5 + 9\/5*v + 16\/5*v**3 + d*v**2.\nAnswer: (v + 1)*(4*v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*-2*12\/432*-30\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**(4\/17)\/(n*n**(-1)*n)**(3\/5)*n**6*n*n\/n**4*n*(n*n\/n**(-2\/7))**11 assuming n is positive.\nAnswer: n**(53014\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -397 - -397. Is -3 + -2 - 48952\/(-1 - s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 0, 13641*r + 3 = 13647*r - 5*w - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + x = 4*y + 26, x - 5*y - 27 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538 = 4*k + 90. Let x be (-27)\/4*k\/6. What is the remainder when ((-18)\/21)\/(3\/x) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -30.012. Let v = -24.012 - i. Let o = 27 + v. Which is the closest to 0? (a) -4 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 8) to base 15\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -2. Let i be ((-6)\/4)\/(r\/(-8)). Solve j + 2*t = -9, -i*j - 7 = -t + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -765592*z**2 + 581*z - 1162. Let m(w) = -2640*w**2 + 2*w - 4. Determine -6*b(k) + 1743*m(k).\nAnswer: -7968*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -471*v - 1010. List the prime factors of d(-5).\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - j = -1574*v + 1570*v - 26, 0 = -2*v - j + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 108 and -50.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 52 (b) 9 (c) 1 (d) 0 (e) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*(l**(-1\/4)*l)\/l*l))\/(l\/((l*l*l*l**(1\/4)*l*l)\/l*l)))\/((l**(-12)\/l)\/(l**(-19)*l)) assuming l is positive.\nAnswer: l**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 7. Let v be p(5). Let d be (v\/4)\/((-2)\/320). Suppose 2*c - 9 - 11 = 0. What is the highest common factor of d and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110279332.\nAnswer: 2, 27569833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -22 in ascending order.\nAnswer: -22, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.731 - -5.7. Let i = -2.169 + n. Sort 3, i, -3 in increasing order.\nAnswer: -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**3 + y**2 - y + 1. Let w be k(1). What is the first derivative of -16 + 0 - w*r + 7 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 h when four letters picked without replacement from shghshss.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 29*b**2 + 30*b - 73. Let g(p) = 7*p**2 + 7*p - 18. What is 2*a(y) - 9*g(y)?\nAnswer: -5*y**2 - 3*y + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbdbbdbbbbbbbbbbdbb. Give prob of picking 1 d and 3 b.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = 2*b + 2*b. Let f = b - -138. Calculate the remainder when f is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(136) - sqrt(136))*-6)\/((sqrt(200) - -1*sqrt(200)) + sqrt(200) + sqrt(8) + sqrt(8)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154243218 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - m - 10. Let d be b(-4). Suppose 0 = 12*g - 70 - d. What is the remainder when 127 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 331 by -1.\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 128719722 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 2:22 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**3 - 548*t**2 - 557*t + 667. Determine w(138).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as 11906465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 19 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 803871.9 centimeters?\nAnswer: 8038.719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24569*f + 31817*f - 2*f**3 - 2*f**2 + 2*f**2.\nAnswer: -2*f**3 + 56386*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4044, -29082, -96974, -229146, -447024, -772034, -1225602?\nAnswer: -1829154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2, 0.\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1811248559 is divided by 270?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24529, -97603, -219415, -389983, -609325?\n\"Answer: -3*z**3 - 24351*z**2 - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 10 + 11. Let c(d) = d + 2. Let x be c(h). Solve -x*v + 13 = -7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.46, 1\/4, 5\/9, 6?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -19, -0.2, -0.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2\/24*24\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2283 + -535. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4 - 4) - (-417)\/(-4). Let k be 8\/(-10)*195\/j. Factor 0 - 3\/4*x**2 - k*x.\nAnswer: -3*x*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215402, 215414, 215434, 215462, 215498?\nAnswer: 215542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 12. Suppose s*t + 3*q - 15 = 0, -5*q = 3 - 28. Let k(f) = -5*f**3 - 2*f - 1. Let a be k(-1). Solve t = -2*o - 0*o - a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2. Let q(b) = 309*b**2 + 2*b - 619. Calculate q(c(n)).\nAnswer: 4944*n**4 + 8*n**2 - 619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/27 - -1)\/(30\/9). Put -0.2, v, 0 in decreasing order.\nAnswer: v, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8100 + 8093. Let l(b) be the second derivative of b**3\/2 + b**2 + 10*b. Let y(v) = -6*v + 0*v - 2*v - 7. Give j*l(z) - 2*y(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/3 + 456*o**3 - 46656*o**2 + 1648512*o - 19595520 = 0. What is o?\nAnswer: 36, 1260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 less than -1.04267951?\nAnswer: -12.04267951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/((-36)\/(-3))*(-2)\/(-16).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3204 is divided by 454.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-6)\/60*(-210)\/((-49)\/(-7)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 188.902 - -0.098. Let a = -568 + 403.4. Let s = a + d. Round s to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, d: 15}. What is prob of picking 2 d?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 + 3*z + 4. Let k(y) = -6*y**2 - y - 4. Let g(t) = 4*k(t) + 5*w(t). Calculate the least common multiple of g(-11) and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398114 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 140 + 1 + -6. Let h = -39 + o. Calculate the remainder when h is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5654311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, -0.1, -1, -1\/3, 32.6?\nAnswer: 32.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z + 17*z - 27*z**2 + 1 - 10*z in the form t*z**2 + c + b*z and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q - 302*q + 9591 = 82*q for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 36. Suppose 3*s - k = -4. Let u = 0.036 - -0.164. Which is the closest to u? (a) 3 (b) -2\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -44*l + 11. Let r(n) = -15*n + 4. Determine -4*c(a) + 11*r(a).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*u**2 + 37*u**2 + 42*u**2.\nAnswer: 107*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**4 + 2*y + y**2 + 0*y**4 + 3*y**4 - 4*y**4 + 4*y**3 to the form u*y**4 + n*y**2 + j + t*y**3 + b*y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3\/19 (b) -8 (c) -0.5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 333103 - 112973. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4513 - 4463 = -10*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 124236 divided by 36\nAnswer: 3451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 563932 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1466454 and 56661?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -157, -3 in descending order.\nAnswer: 3, 1, -3, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 5:07 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 26. Let a(u) = 32 + 30 - 62 + 11*u**2. Calculate a(c(s)).\nAnswer: 11*s**2 - 572*s + 7436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0*v + 1\/6*v**3 + 0 + 30*v**2. Let r(f) = f - 1. Let j be (-45)\/12 - (-1)\/(-4). What is j*p(z) - r(z)?\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 8*q - 2. Let l be b(7). Solve -2*m = -l - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 + 7*d**2 + 2*d + 4. Let h be p(-3). Suppose -77757739 + 16297739 = h*y. Round y to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*p - 37, k = -2*p - p + 28. Find the first derivative of 7*l**4 + 1 + 9 - p + 4 wrt l.\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/1674)\/(-6 - 110\/(-18))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-3 - 3)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, -38, -3, -1 in ascending order.\nAnswer: -38, -8, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1377 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -210841, -211065, -211297, -211537, -211785?\n\"Answer: -4*c**2 - 212*c - 210625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -2) + 5 - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 12:20 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (8 - (22 + -8)) + 0 - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 497317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -34 * 0.207\nAnswer: -7.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 4, 0.3, -0.01 in increasing order.\nAnswer: -53, -0.01, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3818*n = 3865*n + 93 - 704 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15436937 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/6))**(-3\/17)\/(p**(2\/9)*p*p**(-5\/7)\/p))**(-2\/25) assuming p is positive.\nAnswer: p**(-1117\/26775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 5, v: 5, z: 4, d: 1, q: 1}. What is prob of picking 1 v and 3 o?\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/6*3\/(-2). Let k(p) = -3*p**3 + 9*p + 4*p**3 + 0*p**3 - 4 - 7*p**2 - p. Calculate k(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1259 divide 68905729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 826745 to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 12:18 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3 - 31*a + 1 + 21*a. Let t be x(-5). Let l = 109 - t. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2927.1867 months?\nAnswer: 0.243932225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5123 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7484 - -2474?\nAnswer: -5010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 585 = -3*d + 5*n, n - 555 = -4*d. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 11*r + 15. Let s be p(-12). Solve -2*n + 11 - s = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -458818, -458822, -458826, -458830, -458834, -458838?\n\"Answer: -4*l - 458814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -60 - -13?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26526305 or -26526315?\nAnswer: -26526305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 3*i + 3*i + (0 - i + 0)*(2 + 1 - 4) - 539*i + 10692*i + 15 - 15 to k*i + c and give k.\nAnswer: 10156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4}. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -77 (base 16) to base 12\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/209 and 74\/171.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 2\/21 (c) -2 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -46. Let q be u\/(-12) - (-74)\/6. Suppose -4*b = q - 352. What is b rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)\/w*((w*w**(2\/51))\/w)\/w)\/(w**6)**(-34\/3) assuming w is positive.\nAnswer: w**(3385\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4200\/45)\/20*-1*45\/(-10)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7269*f + 13876. Give k(-2).\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, 0, 0.07, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 14*t**2 + 31*t - 45. Let l(j) = -30*j + 5*j**2 + 22 + 29*j - 15*j - 11*j**2. Let c(f) = -2*k(f) - 5*l(f). Factor c(a).\nAnswer: 2*(a - 1)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3827680 by -940.\nAnswer: 4072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5269 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 584.75526 rounded to 1 dp?\nAnswer: 584.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -12. Suppose -8 = -y + 2*w, -3*y - 2*y + d = -3*w. Let h be ((-4)\/(-3))\/(y\/(-36)). What is the highest common divisor of h and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2. Let w(t) = -3727*t. Give w(n(y)).\nAnswer: 14908*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owzhffzwhwzfwnohz. Give prob of sequence of.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.9. Let o = -0.7 + s. Which is the closest to -0.1? (a) -4 (b) -3\/2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14299*a**2 + 639*a - 1122*a + 641*a - 1 - 1288*a**2 wrt a.\nAnswer: 26022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10482195 divided by 145?\nAnswer: -72291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 32 = -0*c + 4*g, 2*c - 3*g = -26. Let b be 15\/c*-12 + 0. Let w = b - 19. Sort 1, w, 3 in increasing order.\nAnswer: w, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -14. Let g(a) = 3*a + 4. Let x be g(w). What is the greatest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p. Let u(o) be the third derivative of -107*o**5\/60 + o**4\/8 - 3234*o**2. What is s(u(d))?\nAnswer: -214*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/256 and -53\/108?\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14552 * 2\nAnswer: -29104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 58 (b) 27535 (c) 3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -0.5 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -361*f**3 + 4*f**2 - 4. Let z(c) = 720*c**3 - 10*c**2 + 10. Determine 10*b(q) + 4*z(q).\nAnswer: -730*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6732.577l?\nAnswer: 6732577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 33285.\nAnswer: 66570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, -924, -2073, -3222, -4371, -5520?\nAnswer: -6669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 43990*y - 43987*y - 11, -56*y + 165 = -3*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3263143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 - -3))*4\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-12) + (-1)\/(-3). Suppose -2*f + r = -f. Suppose -5*q + f*g + 24 = -q, -2*q - 2*g = -12. Which is bigger: q or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7106000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (200\/90)\/((-161)\/12) + (-656)\/6888.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 685 - 652.3. Let o = 6.6 - 20.1. Let p = h + o. What is p rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 2)*(-14 - 1 + 5)*(-2*i + 2*i + 2*i) as u*i + x and give u.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 670894258 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1878.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*o - 8. Factor 71*s**2 - 24*s**3 - 30*s + 1 + 12*s**o - 19 - 19*s**2.\nAnswer: -2*(2*s - 3)**2*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1 = -x - 2*g, -g + 1 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + 40. Find the common denominator of -43\/9 and (254\/d)\/(12\/(-8)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microsecond in nanoseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 748*q**5\/5 + q**3 + 4474*q + 4190. Find the first derivative of v(c) wrt c.\nAnswer: 2992*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwr when three letters picked without replacement from {w: 3, l: 2, j: 2, k: 1, r: 3, c: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3940 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**2 - 7\/3*h**3 + 0 - 3*h.\nAnswer: -h*(h - 3)*(7*h - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**3 - 30*i**2 - 99*i + 46. Is q(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/3384 and -41\/464.\nAnswer: 196272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (50 - 68)*(-1)\/2. Suppose r - h = -7. Solve -12\/11*o + 2\/11*o**r + 10\/11 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*k + 392*k + a + 34 = 0, a - 78 = 10*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1069*n - 389*n**2 + 391*n**2 - 1177*n.\nAnswer: 2*n**2 - 108*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28319*n**4 + 1 + 8*n**3 + 6*n**2 + 14160*n**4 + 14158*n**4 to the form j + w*n**4 + c*n**2 + d*n**3 + h*n and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -495 + 734. Let n = 56 - -293. Let l = n - z. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5080*c**5 - c + 474.\nAnswer: -101600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ucuuuuqquuuqcuqq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108430418*j**3*x + 73*j*x - 178*j - 595 wrt j?\nAnswer: 650582508*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(147) + 4))**2.\nAnswer: 504*sqrt(3) + 1467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 334244443 (base 5) to base 12\nAnswer: 5b348b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**0*d)*d**(1\/16))**(-9)*(d\/(d**(1\/6)*d))\/(d\/(d*d*d*d**(-2\/21)*d))*d**(-3)\/(d\/(d\/d**(1\/11))) assuming d is positive.\nAnswer: d**(29881\/3696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/18 - 53\/6. Let i = 17 + t. Suppose 7*w = 3*w + 2*b, -i = 2*w - 5*b. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g + 178 + 81 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - v - 2. Let g be u(-3). Let l(n) = -n**3 - 4*n**2 - 9*n + 45. Let m be l(-6). Calculate the highest common divisor of g and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17286 divided by -102\nAnswer: -2881\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 628*c - 603. What is x(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 495, -27, 5?\nAnswer: 495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 157728 divided by -48?\nAnswer: -3286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19233939*w**3 + 3509195*w**2 - 2*w?\nAnswer: -115403634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 30. Calculate the remainder when 45 is divided by u(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 5*s - 2. Let t be u(2). Suppose 3*m + 2*m = 4*x + 12, 3*x + 2 = 2*m. Suppose -x*y + t + 0 = 0. Solve 3*b = 6, 0 = 7*i - y*i + b - 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064481000 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + -5 + (146 - 139) - -16.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = -h, -4*h - z = -h - 5. What is the lowest common multiple of 40 and (4 - -1 - 3)*h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Let o(p) = 0*p - 3*p - p**3 + p + 3*p**2 - 5 + 8. Let m be o(3). Sort a, -2, m in descending order.\nAnswer: a, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 4, -213, 231, 0.2, -3\/4, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u + 3. Suppose 18 = -6*w - 12. Calculate q(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29107750 rounded to the nearest 100000?\nAnswer: 29100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25\/6462 + 155260\/462033. Find the common denominator of f and -9\/286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70*(32\/16 + 6\/(-60)*24).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*b + 9. Find the second derivative of -253*d**3 - 16*d**4 + 253*d**b + 9*d wrt d.\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*z**3 + 195*z**2 + 190*z - 120.\nAnswer: 5*(z + 2)*(z + 4)*(7*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 0 + 0*f**2 + 13\/12*f**4 + 0*f**6 + 0*f**3 + 2*f + 0*f**5 - 2\/21*f**7. Find the third derivative of l(v) wrt v.\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137558 and 327.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -20, -a - 249*p = -253*p - 22. Suppose 8\/5 - 4\/5*d - 3*d**3 - 34\/5*d**a = 0. What is d?\nAnswer: -2, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -0.0151?\nAnswer: -0.0906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, n: 1, t: 2}. Give prob of sequence tnxt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**3 - 2*s**2 - 6*s + 2. Let w(x) = -4*x**2 + 4*x**3 - 9 + x**3 + x**2 + 12 - 7*x. Calculate 3*u(p) - 2*w(p).\nAnswer: 2*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 1. Let u(n) = -9*n**2 - 18*n - 9. Let l(c) = -c + 1. Let b be l(-5). Let h(t) = b*v(t) + u(t). Solve h(w) = 0 for w.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5563491 or 5563489?\nAnswer: 5563489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nun when three letters picked without replacement from {u: 9, a: 2, n: 4, x: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Let o = 3 - s. Suppose w = -o + 6. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.1, -353?\nAnswer: -353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5898 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 398016164, 398016167, 398016170?\n\"Answer: 3*v + 398016161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 - 22?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - (-1*-2*sqrt(102) + sqrt(102))) + sqrt(102))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**4\/21 + 8*w**3\/7 - 4*w**2\/7 - 104*w\/21 - 22\/7 = 0?\nAnswer: -1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1766456 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (6 + (-1 - 2) + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 29*b - 639772 = 0. Let r = b - 9968. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 48\/7*q**2 - 4\/7*q**5 - 12\/7*q**4 + 8\/7*q**3 + 0 + 32\/7*q = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c + 10. Let z(y) = -y - 1. Determine -d(t) - 3*z(t).\nAnswer: -2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 52\/91*(1 + (-1)\/(-6)). Let h = -4 - -1. Let u be (-1)\/(-1 - -2) - 0. What is the nearest to -0.7 in u, p, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f + 3 - 29*f + 59*f + 44*f**2 - 3.\nAnswer: 44*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 4*m + 5. Let v be c(-5). Let z be (5\/1)\/((-20)\/(-60)). Suppose 8*n - 5*n = z. Solve -h + 7 + 3 = -n*w, -3*h - 2*w + 13 = v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 100*u**7\/7 + 5*u**4\/12 + u**2\/2 - u + 79. Find the third derivative of i(f) wrt f.\nAnswer: 36000*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295127708 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19660 is divided by 42.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 81811.5 and 85.\nAnswer: 81896.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4663*j**2 - 879412*j**3 + 872930*j**3 + 8836*j**2 wrt j.\nAnswer: -38892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -0.3, -0.02, 192 in ascending order.\nAnswer: -0.3, -0.02, 2, 3, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2272599 is divided by 2272328?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38 and 580\/(-165) - (-2)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 7*j + 6. Let g be q(-4). Let b be 151\/3 + 2\/g. Calculate the greatest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 11*p + 7*p - 4, -6 = -3*c + p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (470\/(-20) + 23)*1\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 86*q - 84. Determine p(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54 or 3937?\nAnswer: 3937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 58507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.345 + -0.055. Suppose -3*x + 8 = 23. Which is the closest to -1? (a) -1 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5024117l in millilitres?\nAnswer: 502.4117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 5*z**2 + 8*z - 5. Let a(g) = g**3 - 5*g**2 - 7*g + 4. Let j(u) = 7*a(u) + 6*s(u). Give j(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31 (b) 4 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 17*b**2 - 5*b + 5. Let m(p) = 220*p**2 - 66*p + 66. Let o(y) = -5*m(y) + 66*u(y). Let s(l) = 126979 - 126979 - 4*l. Calculate o(s(k)).\nAnswer: 352*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 841053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.002 + 0.002. Which is the second biggest value? (a) 0.3 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 43*h**2 + 4*h + 14. List the prime factors of m(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2024455 micrograms in nanograms?\nAnswer: 202.4455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 12:46 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*s - s - 51. Solve 0 = -14*j + 19*j + 5*i - 35, 2*j + 11 = s*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37019 is divided by 4624?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqd when three letters picked without replacement from bqqtqqdqqbqbbbbqpqqq?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -12*f**5 - 11341*f**4 + 314320*f**3 + 353809*f**2 + 944*f - 27216 = 0.\nAnswer: -972, -1, -1\/3, 1\/4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -747, -0.3, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 + 234. Let q(n) = -104*n**2 + 934*n + 25. Calculate the remainder when w is divided by q(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a4 + -6?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 480\/(-1248)*(-2)\/(-5).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3232033 (base 4) to base 16\nAnswer: -3b8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 6*d**2 + 5*d. Let w be c(-5). Suppose -3*u + 17 + 1 = w. Does 10 divide (12\/(-5))\/(u\/(-120))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-9)*(18\/8 - 0). Suppose w - 1839 = 2*w + 4*c, -u*c + 3722 = -2*w. List the prime factors of w\/(-14) - (-1)\/2.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 306 or 2750\/9?\nAnswer: 2750\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*18\/(-120)*(-160)\/(-60).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttdtdtttt. What is prob of sequence dtd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 a factor of 613157935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {q: 6, d: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/7 - 306492*z\/7 - 6732660.\nAnswer: -3*(z + 154)*(z + 102010)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**6\/120 - o**5\/5 - o**4\/24 - o**3\/2 - o**2 - 2. Let c(h) be the second derivative of t(h). Is c(-12) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 520 - -674. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**5 - 1260*o**4 + 16864*o**3 - 62832*o**2 + 47232*o = 0.\nAnswer: -328, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2531 - 2517. Solve -2*h = -4*h - 2*x - 12, -3*h + 5*x = -s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 2 + 1)*(1 + 0 - 2) + 1 + 0 - 2 - 6 + 5 - 3 + 4 - 3 + 1)*(-3 - 8*a + 3) in the form u + i*a and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4265013398 and -1.\nAnswer: -4265013399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = w - 19, 2*w - 3*n = 43 + 22. Let l be (14 + -2)*(-5)\/(-15). What is the remainder when l\/2 - (-25)\/(175\/756) is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k = -8*k + 39 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972399 is divided by 97004?\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2*q**2 + 2*b**2*q - 2*b*q**2 + 35*q**2 - 2 wrt b.\nAnswer: -4*b*q**2 + 4*b*q - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 10*d**2 + 9*d + 2. Let j be t(9). Suppose -2*a = -6 + 14, -3*o = j*a - 184. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 2 (c) 4 (d) 237403 (e) -2 (f) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 599.098 + -0.698. Let r = x - 525. Let k = r + -73. Which is the second smallest value? (a) k (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 1 + 1 + 7*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 701 + 5833 = 22*y. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5859174 divided by -4957?\nAnswer: -1182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -5 (b) -2 (c) -14 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2515887 and 1419.\nAnswer: 2515887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 6*w - 25. Let j = -7.552 + 0.552. What is the third smallest value in 0.2, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + v**3 + 2*v**3 + (0*v + 0*v + 2*v)*(9*v**2 - 2 + 2) + 2*v**3 - 4*v**3 - v**3)*(-4 + 4 + v).\nAnswer: 17*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*h - 2, 2*h + 5*y - 3 + 6 = 0. Let g be (h\/5)\/(1 - 0 - 2). Which is smaller: g or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1862569ns in hours?\nAnswer: 0.00000000000227396025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 85.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/175)\/(74\/259).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008 + 4264*z - 34020*z**3 - 9689*z - 3119*z + 375*z**5 + 8799*z**4 + 26256*z**2 + 6126*z**4 = 0.\nAnswer: -42, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 245 = -1. Suppose -2*n = 4, 2*i - w = -3*i + n. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 - (3 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1539*p + 4*p**2 - 2*p**2 + 3*p**2 - 1678*p to a + q*p + y*p**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(13) - (sqrt(832) + (sqrt(832) - sqrt(832)*-4) + sqrt(832) + sqrt(832))**2) + sqrt(13) - sqrt(117)*5).\nAnswer: -53252 - 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 343224979 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3700 - 873 - 2441 = 74*i - 1168 for i.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 35*y**2 - 19*y - 32. Let b be a(-17). Solve 1 = j + b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 12:17 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 678875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 344 and 5590?\nAnswer: 22360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 271013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 275963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*c**3 - 160*c**3 + 105*c**3 + 57*c**3.\nAnswer: 88*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12883337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.33966 hours in milliseconds?\nAnswer: 350422776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/6 + 152*j**2\/3 + 23015*j\/6 + 11356\/3.\nAnswer: (j + 1)*(j + 136)*(j + 167)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 29278048?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1012 + 1010 + 4842*q + 10252*q to the form s*q + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let q(t) = -2*t**2 + 64743039. Determine x(q(z)).\nAnswer: -2*z**2 + 64743039","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*p + 2*i - 125*p wrt i?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**3 + 9\/4*c**4 - 9\/2*c**2 + 1 - 6*c + 3\/5*c**5. Factor b(n).\nAnswer: 3*(n - 1)*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from aahaahhhaaaahaaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-6 + 0))\/(-8 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-36))\/((-41)\/(-3)). Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/4*120\/(-21). Let s be (4\/5)\/(-5 - (-108)\/d). Find the third derivative of 0*w**2 - s*w**2 - 10*w**3 - 6*w**3 + w**2 wrt w.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5041538.9999985 + 5041535. Let a = 4 + v. Round a to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31107.8389 rounded to the nearest one hundred?\nAnswer: -31100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-4\/9)\/(i**(3\/4)*i))\/(i**5*(i**(-2\/7)\/i)\/i))**(-2\/41))**(2\/63) assuming i is positive.\nAnswer: i**(1237\/162729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 - 38\/(-6). Let c(v) = -v**2 - 8 + 9*v - 6 + 0 + 4 - 1. Let k be c(q). Solve 0 = -k*t - 9 - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45*o**2*t*v**2 + 2*o**2*t*v + o**2*t - 238420*o*t*v**2 + 3*o*t + 195161*o + 20*t*v + 3*t - 2 wrt v?\nAnswer: 90*o**2*t - 476840*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:07 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22*-5\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 453, 449, 443, 435, 425, 413?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 6*i = i + 20, 2*u + 2*i - 8 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1558 and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f - 2*f + 1 - 3. Suppose 0 = -17*b + 6*b + 22. Let s be b + (10 - 2)\/2 + -4. Determine r(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 11*v - 5. Let k be x(8). Let a = -16 + k. Suppose a = 2*y - 1. Solve 3*s = y*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z**2 - 120*z**2 + 29*z**2 + 27*z**2 + 33*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 5*o - 2*o**2 - 2 - 4 - 8 - 21 in the form r*o**2 + z + s*o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1799 - 18678 = 588*o + 7159 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/6 - b**3\/3 - 7*b**2 + 81*b - 47. Determine l(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16507 divided by -1?\nAnswer: -16507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(2420) - sqrt(2420)*2 - sqrt(2420)) - sqrt(2420) - sqrt(2420)) + sqrt(2420) + 2*sqrt(2420)*-4)\/(sqrt(2940)\/sqrt(6) + (sqrt(4840) - sqrt(10))).\nAnswer: -143*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - 2*x + 6, 18 = -5*t + 2*x. Let h be 28\/4 + -1 + -1. Suppose 13 = 2*c - 3*z, -7 = 3*c + c + h*z. Sort 5, t, c in ascending order.\nAnswer: t, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9994 and 9994 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/60)\/((-16)\/96)*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/9 - 308*c\/9 - 3232\/3.\nAnswer: 4*(c - 101)*(c + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-103)\/((-190447)\/(-258))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1282*l**5*x**2 + 107*l**5*x + 5850953*l**2 - 2*l*x**2 wrt l.\nAnswer: -76920*l**2*x**2 + 6420*l**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-45))\/1*-5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.18 and 4142261.\nAnswer: 4142261.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -230254424 (base 6) to base 2\nAnswer: -10000000110110010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20176 is divided by 1013?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247925842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134392 is divided by 4633?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 0*d**4 + 1\/90*d**6 + 1\/30*d**5 + 5 + 0*d**2 - 4\/3*d**3 + 0*d. Let n(s) be the third derivative of y(s). Factor n(p).\nAnswer: 4*p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1356 divided by -12\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1973\/2 + 1005. Let a = 19 - s. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzuv when four letters picked without replacement from {z: 3, v: 2, f: 2, h: 1, a: 2, u: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 10*z - 7750890. Suppose -7*a + z = -2*a. Suppose a + 527546 = -7*j. Round j to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348 and 34218724.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15574 is divided by 106?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*n**4*x**2 + 55*n**4 + 1562*n**3*x + 5*n**2*x**2 + 2107*n**2*x - 303 wrt n?\nAnswer: 168*n*x**2 + 1320*n + 9372*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/3 - 229*d**4\/3 + 231*d**3 - 695*d**2\/3 + 232*d\/3.\nAnswer: -d*(d - 1)**3*(d + 232)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - -1110?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 i, 1 g, and 1 t when four letters picked without replacement from tyrrrrirgrssrryts?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0090231 rounded to five dps?\nAnswer: 0.00902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -26460*k + 26454*k. Sort 4, 1, k in decreasing order.\nAnswer: k, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 3*f**2 + f - 1. Let u be q(3). Suppose -23*m - 393 - 90 = 0. Let h be (0\/3)\/((-7)\/(m\/(-6))). Put u, -5, h, 3 in decreasing order.\nAnswer: 3, u, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1142855 (base 10) to base 11\nAnswer: 71070a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4455)*2*4)\/(1*sqrt(605)*1 + sqrt(605)))**2.\nAnswer: 1296\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -43*o - 986. Let s be n(-34). Does 478 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36254864, 36254865, 36254866?\n\"Answer: k + 36254863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -q + 10 + 2, 2*z = 2*q + 6. Let t(d) = d**2 + 8*d + 10. Let u be t(-7). Put -5, u, q in decreasing order.\nAnswer: u, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t + 9*t**2 - 3 + 2 - 2*t**3 + 8 + t**3. Calculate the remainder when i(7) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 12*h**2 + 8*h - 12. Let s(n) = n**3 + 4*n**2 - 5*n + 2. Let m be s(-5). Let k be t(m). Calculate the greatest common divisor of 416 and k.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (25 - (23 - 6)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 16*l**2 - 30*l - 16. Let k be z(-14). Suppose -71*i - k = -73*i. Calculate the greatest common divisor of i and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 + 2*d**2 - 2*d + 1. Let o be v(1). Suppose -o*y = 3*u - y - 23, 2*u + 6 = 4*y. Let x(h) = h**3 - 5*h**2 + 4. Is x(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363236 is divided by 181570.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 + -76. Let m = -92 - -87. Which is the closest to 0? (a) m (b) 3\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -35*k**2 - 2*k. Let y be a(2). Suppose -203 = -8*g - 843. Let r = g - y. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/3 + 230*v\/3 - 452\/3 = 0. Calculate v.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**3 - 3*d**2 - 4*d + 1. Let k(g) = -6*g**3 - 2*g**2 - 3*g. What is 4*k(a) - 3*p(a)?\nAnswer: -3*a**3 + a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + -39 + 79 - -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -251 + -303556?\nAnswer: -304140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/555*(-45)\/(-15))\/((-4648)\/(-3320))?\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 16. Let x(l) = 8*l**2 - l + 1. Let z be x(n). Let q be (z\/14)\/((-8)\/(-28)). Put q, 0, -2 in decreasing order.\nAnswer: q, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -36. Suppose -4 = -4*v - p. Let n(d) = 2*d**2 - 3*d - 1. Is n(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + -2 + -1.\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 11*f - 10 = 0. Let g(t) = 4*t**f + t**3 - 7 + 2*t - 9*t + 2*t**3 - 2*t**3. Give g(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s + 19*s**2 - 153*s**2 + 14*s.\nAnswer: -134*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*b - 49*b - 47*b - 2*b**2 - 47*b + 183*b + 1.\nAnswer: -2*b**2 - 10*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 12*q**2 - 27*q - 12. Let i be j(-7). Sort i, 2, 10, 5 in descending order.\nAnswer: 10, 5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjjg when four letters picked without replacement from {j: 16, g: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or -1501?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*k - 54, -6*k + 2*k = -4*q + 132. Let p(s) = -s**2 + 29*s + 35. Let w be p(q). Differentiate 39 - 4 + 0*u**3 + 2*u**3 - w*u**3 wrt u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 15883 + k - 15883 - 3*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 equal to 658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -364187*r - 65. Suppose -2*n - 30 = -4*t, 0 = 12*n - 11*n + 5. Let z be d(t). What is z rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/7 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/13 (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (4 + -3328)*-2. Is l\/10*(-150)\/(-60) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + z + 1. Let t(r) = 3*r**2 + 4*r + 4. Let l(d) = -2*d**2 - 4*d - 3. Let v(a) = -4*l(a) - 5*t(a). Let y = -60 + 54. Give y*i(s) - v(s).\nAnswer: s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*z = -0*m + 87, 0 = -5*m - 3*z + 140. Let q(n) = -n**3 - 8*n**2 + 11. What is the remainder when m is divided by q(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12791 + -447753\/35. What is the common denominator of 64\/35 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from bvbvbbtbvbbbvivi?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by 3401695.\nAnswer: -37\/3401695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 59. Let q be (8\/(-10))\/(2 + (-248)\/120). Calculate the highest common divisor of q and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40862022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 + 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(25)\/sqrt(5) + sqrt(5))**2 + 2*sqrt(5)*-3.\nAnswer: -6*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/(sqrt(8) - sqrt(8)*2).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*h = 142 + 6, 3*z = 2*h - 112. Is 8\/(-4) + 1 - z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*j - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**3 + 78771*w**2 - 157551*w + 78777 = 0. What is w?\nAnswer: -26259, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15*v**3 + v**2. Suppose -11*z + 14*z - 15 = 0. Let j = 36 - z. What is the remainder when j is divided by d(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5194909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 2*l**4 - 6*l**4 + (l - l - 2*l**2)*(l**2 + 3*l**2 - 3*l**2) + 0*l**4 + 3*l**4 + 4*l**4.\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*b + 0*b - 43 = 0, 5*b = -3*z + 17. Suppose -12 = 5*u - 2, 0 = 5*x + 3*u - 99. Let q = x + -13. What is the remainder when z is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -278495, -556989, -835483, -1113977?\n\"Answer: -278494*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -609bb - 97?\nAnswer: -60a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 658, 1412, 2218, 3076, 3986?\nAnswer: 4948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27 - 78)\/(-153)*0. Suppose t + 4\/3*r**4 + 0*r - 4*r**3 + 8\/3*r**2 = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49367 - 2*d - 49367.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106404 = -5*g + 3*b - 27336, 0 = b + 6. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2 - 1) + -8 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -414198 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-231))\/(13\/(546\/(-36)))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -4.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**7\/1680 - 9*m**6\/320 - 19*m**5\/160 - 29*m**4\/192 - 26*m**2 + 26*m. Factor c(u).\nAnswer: u*(u - 29)*(u + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s**3 + 20974*s**2 + 3765894*s + 1127880 = 0. What is s?\nAnswer: -156, -3\/10, 1205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or 1?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 4*v = 22, -282*o - 3*v + 10 = -283*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.759 + 6.059. Let l = 1.1 - 5.1. Which is the third smallest value? (a) l (b) 1\/3 (c) -5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14192 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.9991 to two decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1701*i = -4*z + 1703*i + 32, 0 = 2*z + 4*i + 4 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/81147 and 47\/297?\nAnswer: 730323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-14)*(-10)\/5.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**2 + 5*c**3 + 14 - 40*c**2 - 23*c + 14*c**2.\nAnswer: (c - 7)*(c + 1)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614359 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0*i + 0*i**4 + 1\/12*i**5 - 9*i**2 + 0 - 1\/30*i**6 + 5\/6*i**3. Let c(h) = -3*h**3 + 4*h**2 + 4. Determine -3*c(s) + 2*z(s).\nAnswer: s**3 - 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2979, -23785, -80257, -190227, -371527, -641989, -1019445, -1521727?\nAnswer: -2166667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1 + 76*h - 109*h - 49*h + 81*h. Let v(j) = -160*j - 120. Give 120*t(f) - v(f).\nAnswer: 40*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7510 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (54 - -1)*((-516)\/(-30) + -16). What is the greatest common factor of 3608 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 70, 68, 66, 64, 62, 60?\n\"Answer: -2*t + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.007 + -0.317. Let u = -0.689884 + b. What is u rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11 = -7. Let t be 4\/k*9\/(-2). Is -13*t\/9*33 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (3 + -1))*2\/8. Suppose 0 = -2*l - l - 9, 3*j + l - 999 = r. Let q = -208 + j. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3539460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104612 = 26*l - 7864. List the prime factors of l.\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 522848\/5 or 104571?\nAnswer: 522848\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396 a factor of 700483484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 168768.\nAnswer: -1\/56256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*z + 5. Which is the nearest to z? (a) -4 (b) 0 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*r + 62*r = -20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36818113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -38, -141, -348, -695?\nAnswer: -1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*w - 244 = 306, 0 = -4*i - 2*w + 430. Calculate the highest common factor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u = -4*l + 26212, 2*l = 5*u + 13127. What are the prime factors of l?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 536565447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 - t + t. Let f(v) be the third derivative of v**6\/360 + v**4\/12 + v**2. Let n(z) be the second derivative of f(z). Give r(n(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*d + 12091, 2*d - 6033 = -2*b + 3*d. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -55, -89, -127, -163, -191, -205, -199?\n\"Answer: v**3 - 11*v**2 + 2*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3278)\/(-745) + 6\/10. Solve -q*d - z = -0*d - 18, -5*d - 5*z = -30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 10:58 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 153019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 5, l: 3, d: 1, a: 1}. What is prob of picking 1 a and 1 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*t + 88*t - 130 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72096 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 86488, 347509, 782544, 1391593, 2174656?\n\"Answer: 87007*a**2 - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 + (-280)\/(-24). What is the remainder when 713\/q + (-38)\/(-209) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = -2. Let a be t\/(-3) - (-6)\/9. Calculate the greatest common factor of a and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h + h**2 - 54 + 27 + 28. Let c(z) = -z + 3. Let d be -1*(6\/3 + -2). Let a be c(d). Determine v(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1300) - 3*(sqrt(1300) + 1))*1 - (5*(-1 + sqrt(1300) + -1) + -1))**2 + -3.\nAnswer: 260*sqrt(13) + 219698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*t - 64 = 0, -277 = -4*o - 0*o - 5*t. What is the remainder when o is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1290 and (-195)\/28*3\/(-108)*42.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from wifpc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:47 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a**2*l**3 - 5*a**2*l**2*n - 6*a**2*l*n + 3*a**2*n - a**2 + 4724422*a*l**3 + 3*a*l**2 - 101*a*l*n - 31*a*n - l**3*n wrt l.\nAnswer: -78*a**2 + 28346532*a - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891715 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(504)\/sqrt(7) - sqrt(96)\/(sqrt(12) + sqrt(48)\/sqrt(4)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-1))\/(6\/39). Let j = p + -8. Calculate the highest common divisor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 167, -8, 13, -5, 4 in decreasing order.\nAnswer: 167, 13, 4, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**4 - 885*w**3 - 51300*w**2 - 918000*w + 3240000 = 0. Calculate w.\nAnswer: -60, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2026585 and -1.08.\nAnswer: -2026586.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 503, 727, 951, 1175?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -23*f + 120. What is k(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5 = -1. Let l(p) = 7*p**3 - p**3 - 7*p**3 + 3 - 2*p**2 + 2*p**3. List the prime factors of l(v).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*x = 407*x + 684740. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 5*y + 8. What is q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127286102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -0 - 4. Suppose -y + 15 = 4*z, -4*z - j*y + 15 = z. Is (18\/z)\/(33\/550) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 3:38 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/30)\/((-206)\/4))\/((-92)\/(-138))*-5.\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17401437 to 3 decimal places.\nAnswer: 0.174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 8 - 2) + 0 + -1 + -16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 6*c**2 - 1. Let w be d(6). Let m = 8 + w. Suppose -2*o = -m - 3. Solve -22 = -o*u + 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53357928 and 12.\nAnswer: 53357928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.16 or 548?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = y - 3*w, 5*y + 3*w + 10 = -1. Let z be (-3)\/12 + (-17)\/(-4). Let d(a) = 9 + 3*a**2 - z*a - 9. Let n(r) = -4*r**2 + 5*r. Calculate y*n(o) - 5*d(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717660 is divided by 19935.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354499?\nAnswer: 23, 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -530 + 950. List the prime factors of f.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.9 in 2.5, -4, -7, -0.3?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 13*g - 16. Let h(p) = 5*p - 29. Let f be h(8). Calculate o(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2045 - 0.0155. Let p = -0.826 + j. Round p to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.93 + -19.93. What is the closest to k in 6, 20, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10699, -21396, -32093, -42790, -53487?\nAnswer: -64184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.8849171 rounded to the nearest integer?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*a**3 - 155*a wrt a?\nAnswer: -522*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ksqcqsqccc. What is prob of sequence kqcc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4 - 21648*w**3 - 11278718*w**2 + 22708932*w + 33966000 = 0.\nAnswer: -500, -1, 3, 11322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + 18*o**2 + 22*o + 50. Let c be w(-8). Let m(a) = 5*a - 1. Let h(k) = -3*k. What is c*m(s) + 5*h(s)?\nAnswer: -5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509 is divided by ((-6360)\/(9 + -24))\/(0 - -2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401990982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -51558, -0.3, -2\/3, -2 in decreasing order.\nAnswer: -0.3, -2\/3, -2, -51558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1012333011 (base 4) to base 15\nAnswer: -5b23c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4158 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**6\/20 - 3*a**5\/10 - 3*a**4\/8 + 5*a. Factor k(z).\nAnswer: -3*z**2*(z + 1)*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51853, 52092, 52491, 53050, 53769?\n\"Answer: 80*b**2 - b + 51774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2938, -11833, -26666, -47443, -74170?\nAnswer: -106853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/54)\/4*(-6)\/20?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 6 = -f. Let d(i) = 4*i**2 - 5*i - 5. Let c(v) = -2*v**2 + 3*v + 3. Determine f*c(l) + 6*d(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -v - 27, -4*m - 2*v = -38 + 12. Suppose -4*h + m = -4. Let f be 0 + (-1 - 1 - (24 + -24)). Sort -22, f, h in ascending order.\nAnswer: -22, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {s: 2, y: 1, c: 1, d: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 14 = -26. Let h(z) = 14*z + 480. Let a be h(-30). What is the highest common divisor of a and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 3 - 4 - 2*p**2 + (2*p + p - 2*p)*(3*p - 2*p - 2*p) + 7 - 7 - 20*p**2 - 2*p + 2*p**2 + 2*p + (-p + 2*p**2 + p)*(5 - 3 - 1).\nAnswer: -18*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(7) - sqrt(28)) + sqrt(7)))**2 + sqrt(49)\/(-1*sqrt(7)) + -4 - ((sqrt(343) - (-3 + sqrt(343)))*-5*1)**2.\nAnswer: -229 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 576?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1270*(-19)\/(-38)*(-33)\/15. What is the highest common divisor of 583 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 832*n - 2526. What is z(3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4, -2*j + 14 = 3*o + 2*j. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - ((-2)\/(-6) + -2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 2220100100201?\nAnswer: -2220100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/6))**8*v**(-13)\/v**(-1\/25) assuming v is positive.\nAnswer: v**(-272\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148412060 rounded to the nearest 1000000?\nAnswer: 148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -208 - -212. Which is the nearest to -0.2? (a) 2\/5 (b) 1\/6 (c) p (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 523 - 457. Suppose -5*b = 20, -11*v + k = -10*v + 3*b. Calculate the remainder when 227 is divided by v.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**3 + o**2 - o - 1. Let i be h(-1). Suppose -140*v + m - 4 = -138*v, 0 = -5*v - 4*m + 3. Sort -9, i, 0, v in descending order.\nAnswer: 0, v, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 8 - (0 - -5)) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*f - 321*f = 2*b - 5, -17*b + 5*f = -29 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 814803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-272)\/(-40) - 7)\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -11*z + 4, 2*w + z = 739. What is the greatest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(176)*3 + sqrt(176) + 0 + 2)**2.\nAnswer: -80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4\/7 + 36*f**3\/7 + 153*f**2\/7 + 264*f\/7 + 144\/7 = 0. What is f?\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 122741?\nAnswer: -4909.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-429)\/(-99) + 4\/(-3). Solve 9 - 24 = 3*u - g*z, -5*z = 2*u - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 k, and 1 z when three letters picked without replacement from wkszzswfssss.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.7351*-0.7028\nAnswer: -0.51662828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*z + 13 = 64, o - 21 = -5*z for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -59. Solve -3*w + 23 = -i - m*i, -2*w = -i - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6624 + 6628. Sort -25, 2, 5, g, -4 in decreasing order.\nAnswer: 5, g, 2, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + d - 9. What is the remainder when n(-9) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 2997.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1884, 2621, 3418, 4275, 5192, 6169?\n\"Answer: 30*q**2 + 647*q + 1207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155 + 152. Let x = -74\/11 - -458\/55. What is the common denominator of x and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7435 - 7434.99949384. What is q rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1465.66 - -36.34. Let z = s + -1501.209. Round z to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*m - m = -9, 2*m = 5*t + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 61*x**2 - 222*x + 344. Give v(-26).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 52 - 2938?\nAnswer: -2896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25445*s - 21 = 5*p + 25442*s, 28 = 2*p + 4*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2789 plus -0.2?\nAnswer: -2789.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**2 - 1. Let z(c) = c**2 - 2*c - 1. Suppose 0*n - 5 = -3*n - b, 5*b = -3*n + 1. Suppose -3*k = n*k. Let i be z(k). Calculate q(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 600?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 7258530?\nAnswer: 7258532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 352691321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 207467645?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1984 and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1113102 (base 4) to base 16\nAnswer: 15d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 10:15 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*d**2 + 1 - 5*d**2 - 13*d**2)*(-6*d**2 + 3*d**2 + 8*d**2) to the form c*d + k + h*d**4 + z*d**3 + g*d**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 14, 2\/15, -6\/11, -1\/5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c = 0. Let o be ((-12)\/9 + c)*3. Let n = -2 - o. Put n, -2, 5 in increasing order.\nAnswer: -2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*a = -5*a - 1, -4*a = -2*j + 14. Let n be (-4)\/18*j + 1. Factor n*m + 1\/2*m**2 + 0.\nAnswer: m*(3*m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22354 - -22339. Put -0.2, 7, q, 0 in ascending order.\nAnswer: q, -0.2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k + 817 = 109*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -i + 49. Suppose 4*y - 1893 = 3*y - 4*t, 0 = -y + i*t + 1905. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 21, 34, 47, 60, 73?\n\"Answer: 13*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 45*l**2 - 76*l + 36. What is the remainder when a(13) is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**7\/70 + k**6\/20 + 2*k**2 + 8*k. Let x(c) be the first derivative of f(c). Find j, given that x(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 710 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.2, -2\/13, 11\/3 in descending order.\nAnswer: 5, 11\/3, -2\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 7:37 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 2:40 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = l - 5*w, 3*w = 3*l + 1 - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j. Let i(o) = -4*o**2 - o. Give i(d(k)).\nAnswer: -64*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 1, v: 1, n: 2, i: 1, w: 2}. Give prob of sequence nt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509968, -509495, -508702, -507583, -506132, -504343?\nAnswer: -502210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 8 = 2*s, -66*s + 23 = -8*v - 71*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7786635 and 316?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b + 12. Suppose 0 = -3*p - y - 5, 3*p - 5*y + 4 + 25 = 0. Let o(a) = -a - 6. Let x(d) = p*c(d) - 7*o(d). What are the prime factors of x(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164417*q - 164455*q = -38 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-6))\/((-2561)\/182 + 14). Solve 22*a - x*a = -4*b - 12, 5*b = -5*a - 30 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 335316, 335311, 335304, 335295, 335284, 335271, 335256?\n\"Answer: -n**2 - 2*n + 335319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 7*b)*(4*b - 3*b + b)*(-b + 5*b - 2*b)*(15*b + 15*b + 6*b).\nAnswer: 1008*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i**2. Let d(q) = 76*q**2. Give m(d(l)).\nAnswer: 51984*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -199, -614, -1029, -1444?\n\"Answer: -415*u + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2f9 (base 16) to base 12\nAnswer: -535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sslslsgssrssgsglrsss. Give prob of picking 2 l.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 + -4.5. What is the fourth biggest value in -5, 1\/5, 4\/3, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 341 + -277. Suppose 67*m - c*m = 5*s - 1419, 5*s = -m + 1407. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5214 divided by 237\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.64 + 2.66. Let s = j + -2.3. Which is the nearest to -4? (a) -3 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from llxlvvlxjwxlvjill?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (725 - 844 + 510)*(-5*q - 4*q + 2*q) to the form d + p*q and give p.\nAnswer: -2737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-84)\/123 + (-2)\/(-3). Let r = q + 139\/984. Let s be 1 - 28\/(-6) - (-18 + 23). Which is the closest to -1? (a) s (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, u: 4, w: 1, p: 1}. Give prob of picking 1 p and 2 o.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110 (base 2) in base 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -13. Suppose 0 = 2*l + l + 3. Let p = 9 + l. What is the smallest common multiple of n and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 9. Let x be c(-6). Let n be (-35)\/(-4) - x\/(-12). Find the second derivative of n*i**3 + 19*i**3 - 19*i**3 - 2*i wrt i.\nAnswer: 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3063, 3047, 3029, 3009, 2987?\n\"Answer: -r**2 - 13*r + 3077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllvfvfvlvf. Give prob of picking 2 l.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) -5 (c) 736 (d) 17 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 1570626.\nAnswer: 26700642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*s + 410, -2*s + 516 = -5*c + 76. Let p be 2\/((-2)\/c*2). What is p rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 0.1, 59 in descending order.\nAnswer: 59, 4\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1471725 divided by 5?\nAnswer: -294345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d + 530821 = 1766179. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 13*w**4\/4 + w**3 + 2*w. Factor g(s).\nAnswer: 3*s*(13*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (228\/10)\/(3 + 39\/(-15)). Suppose -2*c + 171 - u = 0. List the prime factors of c.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxdd. What is prob of picking 1 d and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*c**2 - 5*c**2 + 2253*c - 7*c**2.\nAnswer: 24*c**2 + 2253*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499, -1945, -4353, -7723?\nAnswer: -12055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13680895?\nAnswer: 5, 29, 94351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-4)*y*y)*y\/(y*y*y**3*y))\/(y*(y*y**0*y*y)\/y*y)**(3\/16) assuming y is positive.\nAnswer: y**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*o - 2505*o = 1356*o + 591*o - 141408 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 33 = -7*t + 8*t, 2*r + 34 = -2*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 550394 divided by 13?\nAnswer: 42338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-10))\/(-1) - 1. Suppose -43264 = -271*m - 67*m. Is d < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68.7 + 65.7. Which is the fourth smallest value? (a) 0.01 (b) k (c) 0.2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d**21*d)))*d)**(8\/11))**(-1\/10) assuming d is positive.\nAnswer: d**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16759368 is divided by 67577.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(61\/244)\/(36\/128).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12211181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2271510.3 from 0.357.\nAnswer: 2271510.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 13*i**2 + 15*i - 7. Let g(p) = 6*p**2 + 7*p - 3. What is -9*g(n) + 4*s(n)?\nAnswer: -2*n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2509, 20044, 67649, 160360, 313213, 541244?\nAnswer: 859489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c*c\/(c*c*(c\/(c\/(c\/c**(-7))))\/c)*c*c**4)\/(c**(-1\/2)*c)**(24\/5) assuming c is positive.\nAnswer: c**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 1 = 3*m - s, -s = -2*m + 9. Suppose -m*g = 2*g + 60. What is the units digit of ((-290)\/g)\/((-2)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - 3*k**4 + 3*k**4)*(k - 4 + 4) - k**5 + k**5 + 2*k**5 - 16*k**4 + 2*k**5 + 16*k**4.\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:33 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + 0.2. Let k = x + 1. Which is the nearest to k? (a) -0.2 (b) -1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 + -52 + -94 - -9?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 5*m - 196. Suppose -s + 2 = 3*v, -m*s - 6 = 15*v - 10*v. Solve r + 14 = v*d + 2, 0 = 3*r + 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r + 15. Let o(b) = -b - 8. Let m(t) = -4*i(t) - 7*o(t). Let z be m(3). Let d = z - -21. What is the least common multiple of d and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61737 divided by -9?\nAnswer: -20579\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -2826044\nAnswer: -847813.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31032 divided by 3879\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiififiiii.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, o: 4}. What is prob of picking 1 o and 2 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 2. Let x(o) = 2*o - 52. Let n be x(23). Let a(t) = -1. Calculate n*a(f) + 2*s(f).\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 642 = 3*r - 644, 5*m = 3*r + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 - 994*u - 18216 = 0. What is u?\nAnswer: -18, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 8 = 0, 5*d - 8 = -2*r - 0*r. Let i = 30 + -30. Suppose i = -3*y - 5 - 4. Sort y, 2, r in increasing order.\nAnswer: y, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*b + 110*b - 98 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.6942 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {o: 9, z: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.2 - 22. Let j = m + -4.2. Put j, 5, -1\/5 in increasing order.\nAnswer: j, -1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 5. Let w(r) = -r + 1. What is -4*w(d) - y(d)?\nAnswer: 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1258*g**2 + 2514*g**2 + 0*g + 2609*g**3 - 457*g**3 - 1255*g**2 - 2*g - 2 as x*g**2 + c*g**3 + t*g + o and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) - (1 + -1 + sqrt(2736)) - (sqrt(171) + sqrt(171) + -1 + -5)**2.\nAnswer: -720 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z + 87*z = -41*z + 9207. Calculate the lowest common multiple of 12 and z.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/7 - 1412*o**2\/7 + 1572*o + 12420\/7.\nAnswer: 4*(o - 345)*(o - 9)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79184 and 12928.\nAnswer: 633472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**10*u*u**32 assuming u is positive.\nAnswer: u**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25482557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(-3)*x)*x)\/x*x**(1\/3))\/(x*x**(-11)\/x*x*x**4) assuming x is positive.\nAnswer: x**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**4\/4 + 2*l**3 - 7*l**2\/2 - 2*l - 181. Suppose i - 98 = -4*j, 8 + 13 = j + 2*i. Suppose -4*f = 5 - j. What is p(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.38 and 2.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*l + 56*l = 119*l. Solve l = 3*c - c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 take away 5.005535?\nAnswer: 6.994465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -287, -5, -9, 4 in descending order.\nAnswer: 4, -5, -9, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313053*m*u**3 + 5*m*u + 35791*m wrt u.\nAnswer: 1878318*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0818 + -0.0182. Which is the nearest to -2\/3? (a) 1 (b) 15 (c) y (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y - y - 8*y - 4*y in the form x*y + o and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - 2 - (5 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-2))\/(2\/4). Suppose 0 = -2*l - 2*z + 6, 4*l - 4*z = -5*z + 3. Let u(c) = c + 2. Let n be u(l). Is n at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110953.\nAnswer: 181, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.914 + -0.514. Which is the nearest to -10? (a) -9 (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2363410.\nAnswer: 2, 5, 7, 19, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 623.4 + -621.4. Which is the third biggest value? (a) -0.05 (b) t (c) 257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377960*b = 378095*b + 2430 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 430 and (20\/7)\/((-28)\/8526*-29)?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 + -4079932.479\nAnswer: -4079931.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32563 - 7235.1?\nAnswer: 25327.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/8730 and -37\/4850.\nAnswer: 43650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from ddxxxxddxcdxdxx?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 1003 = -9*o. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*7 + (-38606)\/(-1393)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 4*t + 0*t)*(49*t + 40*t - 85*t) - 1 - 3*t**2 + 1.\nAnswer: -35*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 233*j + 1679. Give l(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 + -67. Suppose c*y - 45*y = -15. Put y, -4, -11 in increasing order.\nAnswer: -11, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -1 + (55 - 65) + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddiz when four letters picked without replacement from {i: 7, z: 3, d: 3}.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + 56 + 15787 + -15795?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c - 4. Let a be g(3). Let o(t) be the second derivative of -2*t**3\/3 - 21*t**2\/2 - t. Let x be o(-6). What is the nearest to 2\/3 in -4, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -9\/598838 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 605\/25 - (-2)\/(-10). Let d = -10 + j. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93761 <= 93615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -2 + 0*i - i**2 + 2\/3*i**3. Factor y(g).\nAnswer: 2*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 162 in -4, 18, -2\/5, 0.5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**7\/735 + d**6\/210 - d**5\/210 + 2*d**2. Suppose x(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11062384.52 rounded to the nearest 100?\nAnswer: 11062400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = t + 3*t - 11, 3*t - 11 = d. Suppose 0 = t*q - 3 - 33. Let f be 6\/q*(-90)\/(-12). What is the third smallest value in f, -0.2, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*-2)\/(280\/70))\/((-2)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + 5*(sqrt(80) - sqrt(80)*-1 - (sqrt(20) + 3*(sqrt(20)*-1 - sqrt(20))))\/(sqrt(70)\/(sqrt(7) + sqrt(175)*-2)))**2.\nAnswer: -4050*sqrt(2) + 328075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 218a (base 16) in base 9?\nAnswer: 12700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 3*d - 2. Determine j(4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**3\/24 - 593*a**2\/8 - 1606. Solve d(j) = 0 for j.\nAnswer: -1186, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:24 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 7. Suppose 13*c + 48 = 16*c. What is the highest common factor of c and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/280*42\/(-8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**3\/6 + 13*d**2\/2 - 34*d. Suppose 0 = -3*u + 13 + 11. What is q(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 216, 169, 48, -183, -560, -1119, -1896, -2927?\n\"Answer: -6*m**3 - m**2 - 2*m + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*((sqrt(384) + sqrt(384)*-2 + sqrt(384))*-4)\/(sqrt(16)\/(sqrt(4)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 13414 = -1818. What is the remainder when i is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eneqg. What is prob of picking 1 n and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*r - 51, -3*g = -5*r - 238 + 83. Let a = 32 + r. Find the second derivative of 6*q**a + 21*q**3 - 21*q**3 - 5*q + 5*q**4 wrt q.\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssb when three letters picked without replacement from sxsszbxsb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 8 + 6 - r + r**3 to h*r**2 + i*r + l + w*r**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*i - 29*i - 844 + 326 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 15*q**2 + 18*q + 22. Calculate i(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 8*y**2 - 9*y + 5. Let c be x(7). Let f = c + 25. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47310588.\nAnswer: 2, 3, 13, 31, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.6 + -34.6. Let g = r + 32. Let a = 6.9 - g. Which is greater: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 12706.\nAnswer: -25412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2554103264.\nAnswer: 2, 23, 3470249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(1 - 2) - 255\/(-15). Solve 1 = -3*k + s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 35*c. Let a(u) be the first derivative of 28*u**3 + 2971. What is a(b(i))?\nAnswer: 102900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - u + 0*u)*(-91968 - 34810 - 31300 - 8716 - 11252 - 26948) to the form f + q*u and give q.\nAnswer: 409988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r + 482010 - 245725 = 1649763. List the prime factors of r.\nAnswer: 47, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -725.65076 and -4?\nAnswer: 2902.60304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**4\/2 - 7*v**3\/3 + v**2\/2 - 6*v + 4. Let k(d) = -6*d**3 - 20*d**2 + 3*d - 17. Give -6*k(o) + 17*u(o).\nAnswer: 2*o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-13)*(6 + 1). Calculate the highest common factor of 35 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:27 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2317 (b) 1 (c) 5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10656 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: Let w(s) = 50*s**2. Let u(j) = -20*j - 85. Calculate u(w(c)).\nAnswer: -1000*c**2 - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9 - 4)\/78 - (-2 - (-2869)\/1488) and -8\/341.\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 7:38 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 - 11*z + 5. Let l be y(8). Let f = -1 + 1. Let u be 6*(6\/4 + f). What is the highest common factor of l and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 + 226*u + 11*u**2 + 175*u - 17*u**2.\nAnswer: u**2 + 401*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((-985)\/60 + 16)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11708763679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from qnbbigiqqpqbq.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -233 - -236. Let f be 9\/((-117)\/2030) - -3. Let w = f - -153. What is the closest to 0.2 in w, -4\/5, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 25266580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*o + 299*o = -4086 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.002 - -0.002. Let l = 37.62 + u. Let p = l + 0.3778. What is p rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -87760.7 and -1.86?\nAnswer: 163234.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25*-6.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 375 + 1131. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295464900 to the power of 1\/2, to the nearest integer?\nAnswer: 17189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/7)*(y*y**(-6))\/y*(y\/(y\/(y**(2\/5)\/y)*y*y*y))**(-5\/17))**(-10) assuming y is positive.\nAnswer: y**(5710\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1277\/108 - 160\/27. Let g = u + 18. Which is the closest to 0? (a) -0.4 (b) g (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r**2 + 331*r + 2958. Give s(-24).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - r = 3*r + 4765, -4765 = -5*h + 5*r. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((28\/(-6))\/(-1) + -5). Factor 11*w**2 + 3*w**4 - 8*w**3 + 13*w**2 + 2*w**3 - 8*w**f - 12*w - w**3.\nAnswer: 3*w*(w - 2)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3064)\/(-28) + (-12)\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 4*w + 9. Let b be j(-5). What is the first derivative of -14 + 12*q - b*q - 2 + 2*q wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1548 - 1546.5. Which is the closest to -1? (a) 2 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - 2*c)*(c**4 - 340 - 131281*c - 43 + 131282*c).\nAnswer: c**5 + c**2 - 383*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1665866, 1665868, 1665870, 1665872, 1665874, 1665876?\n\"Answer: 2*v + 1665864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, l: 4, x: 1}. What is prob of sequence lxl?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1179636 and 119\/1245504.\nAnswer: 245364288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/10 and 10\/91?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1590, -2113, -2662, -3249, -3886?\nAnswer: -4585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -13. Let u = 7 + d. Let z = 4.9 - -1.1. Sort u, -2\/11, z in descending order.\nAnswer: z, u, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(168) - sqrt(168))\/sqrt(8))\/(sqrt(24)\/(sqrt(40)\/sqrt(5))).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -6.6\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3473\/5 - -688. Let s be -7*(3 - 4\/2). Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = 172. Suppose 8*z = -78 + 254. What is the remainder when n is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1971826388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.343 + 11.843. Which is the fourth biggest value? (a) -2\/9 (b) u (c) 2\/11 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 divided by -18?\nAnswer: -373\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 3:25 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 627 divide 57254839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158 - 88. Let o = f + 2704\/11. Let u(j) = j - 14. Let y be u(11). Which is the second smallest value? (a) y (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 597804?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - a**2 + 5*a - 216. Determine h(0).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 89728893, 179457790, 269186689, 358915590, 448644493, 538373398?\n\"Answer: q**2 + 89728894*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 5\/4, -123\/14, 0.3, 4?\nAnswer: -123\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -130.72345.\nAnswer: -130.42345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 8*v - 3. List the prime factors of p(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(1\/4)*(s\/(s*s**(-1\/3)))\/s*s**(-2\/11)*(s\/((s\/s**(-4))\/s)*s)\/s*s\/((s*s**(5\/4))\/s)*s**(-2\/3)\/(s\/(s*s*s*s**(-2\/13))) assuming s is positive.\nAnswer: s**(-1145\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(0 - 4\/10). Suppose 12 = 2*b - 2*m, 6 = -5*b - 2*m - 2*m. Let h = -7 + 6. Sort c, h, b in descending order.\nAnswer: b, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -40 + 41 - -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j**(-2\/9))\/(j\/j**2)**(4\/11) assuming j is positive.\nAnswer: j**(-283\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 920012829 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.846783 litres?\nAnswer: 6846.783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 5:15 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-12))\/(5\/(-20)). Suppose 3*z + u*c - 128 - 46 = 0, -2*z + 3*c + 101 = 0. List the prime factors of z.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.8 + -3. Let h = 18.6 - -2.4. Let y = -20.91 + h. What is the third biggest value in y, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 7 - 7)*(2 + 1 - 1) - 47*m + 67*m - 40*m.\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 30. Let z(b) = -b**2 - 5*b + 5. Calculate z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21149, -31909, -42669, -53429, -64189?\n\"Answer: -10760*n - 10389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -123?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8.54 (b) -9 (c) 1\/7 (d) 0 (e) 4 (f) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 113 - 36 - 4*w - 30 - 9.\nAnswer: -4*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 3*i + 1. Let v(k) = 4*k. Let z(a) = -2*a - 8. Let j be z(-6). Let c(s) = j*q(s) + 3*v(s). What is the first derivative of c(w) wrt w?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -35*(-17 - (-1887)\/119). What is the highest common divisor of 56 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 10) to base 11.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**5\/60 + w**4\/8 + 7*w**3\/6 - 17*w**2. Suppose 15 = 2*p + p. What is f(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = -0. Suppose -f*v = 4*k + 241 + 63, -5*k = -25. What is the tens digit of (6\/(-18))\/(1\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 103013202?\nAnswer: 103013222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -4 + sqrt(45) + 0 - ((sqrt(5) - sqrt(35)\/(sqrt(7) + sqrt(7)*1)) + 1).\nAnswer: -5 + 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195 is divided by 172.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -39. Suppose i*j + 6*j = 117. What is the smallest common multiple of j and 31\/5 + (-2)\/10?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 170340*x - 170340*x + 2*x**2. Let j(w) = 24*w**2 + 53. Calculate t(j(d)).\nAnswer: 1152*d**4 + 5088*d**2 + 5618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6454.01 + -6506. What is m rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01837 in 2\/11, -150, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 + 91 = 4*y. Which is the smallest value? (a) 0.3 (b) y (c) 0.8 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36878 + -405610\/11. What is the common denominator of 2\/(-9) - 397\/279 and k?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55842 and 30?\nAnswer: 279210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, z: 11}. What is prob of sequence zzwz?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 307646544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 7*l**4 - 6 + 2*l + l**4 + 2*l**2 + 4*l**4 to j*l**3 + t*l + v*l**4 + u*l**2 + o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*x - 311, h + 5*x = -h + 309. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w\/(w**(-1)*w)*w)\/w)\/w))**(-17)*w*(w*w**(-4)*w)\/w*w\/w**(-3) assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*d - 169 = 0, 51 = o - 2*o - 4*d. Let y = o + 63. Solve y + 11 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3777869049?\nAnswer: 3, 1259289683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 23155986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1361*i + 1353*i + 1351*i - 4060*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 6*g**2 + g - 1. Let q be x(6). Suppose 3*p - 2*i - 16 = -0, -10 = q*i. Sort -2, p, 0 in descending order.\nAnswer: p, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 607, 711, 815, 919, 1023, 1127?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 5:12 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30, -180, -564, -1290, -2466, -4200, -6600?\n\"Answer: -18*j**3 - 9*j**2 + 3*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515 = -10*j - 425 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 - -117. Let f = -100 - -100. Let t = 12 + -12.3. Which is the closest to 2\/7? (a) f (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/w**(-6))))\/(w*w**(-1)))**35 assuming w is positive.\nAnswer: w**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 + -106. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 260*x + 7. Give i(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594640749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 11*m - 7)*(6 - 30 + 7 + (2 - 2 + 2)*(4 - 5 + 3)).\nAnswer: 143*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eerr when four letters picked without replacement from eerrrrrerrrrrr?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/9)\/((-406)\/(-87)))\/((-6)\/(-4))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/((-5481)\/(-36))*(-3)\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7042 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*k. Suppose 4*y + 3*m = 8, k = 5*y - 5*m - 9 - 1. What is the first derivative of y*d + 2 - 2*d - d**2 wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 107*y + 0 - 83*y as i + t*y and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19900.0838 rounded to the nearest ten?\nAnswer: -19900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 6. Let l be v(-6). Let r = 1 - l. Solve n + r = 0, -3*n + 21 = -5*o + n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/31 - (-57937)\/2852 and 37\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8320, -17509, -26700, -35893, -45088, -54285?\nAnswer: -63484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130423?\nAnswer: 130423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**2*o**4 + 9421053*b**2 - 3534376*o**4 wrt o.\nAnswer: -4*b**2*o**3 - 14137504*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 t when three letters picked without replacement from {s: 4, t: 1, q: 1, a: 4, i: 5, v: 3}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 698049 by -232683.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7046 and 2710.\nAnswer: 35230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 382.14 millilitres in litres?\nAnswer: 0.38214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:37 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*a + 4*a. Let f(i) = 29 + 6*i + a*i - 6*i. What is the lowest common multiple of 36 and f(-12)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -304. Suppose -c - 361 = -12*o. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -45*m**2 - 2161*m - 72. Calculate t(-48).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -3*i**2\/2 - 41. Let j(l) = -16*l**2 + 2. Give o(j(v)).\nAnswer: 48*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -15*i - 1431. Let p = 817 - i. Is p a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -18 (c) 3736 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1456*c - 1458*c + 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iii. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196788 and 2139.\nAnswer: 196788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1754*h + 1716*h = -532 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 7 - 18) + -15 + -1 + 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13490.\nAnswer: 2, 5, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 1 = 0, -11*q = 3*w - 6*q - 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98314\/5 + 19355. Let q = 308 + y. Suppose q - 4\/5*a**3 - 1\/5*a**2 + 4\/5*a = 0. What is a?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {i: 1, f: 7, k: 2, t: 4, m: 4, v: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 724512711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*x - 12, -7 - 3 = 5*x. Let l be 1\/(-2 + 21\/n). Find the second derivative of 5*o + 0*o**4 - l*o + o**4 wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 144806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 596\/16 + (-3)\/12. Let x = 172 + u. What is the greatest common factor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194.6186 days to microseconds.\nAnswer: 16815047040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -28 (b) 4\/2533 (c) 0.3 (d) -1 (e) 0.1 (f) 0.26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3042)\/24)\/(9\/24). Let m = 368 + a. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27*6\/(-198) - 12\/(-66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*n**4 - n**3 - 18652*n**2 - 7074112*n wrt n?\nAnswer: 744*n**2 - 6*n - 37304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((70\/4)\/7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 26*a + 516. Give t(71).\nAnswer: -2679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(256\/720))\/(10\/(-160)*4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 384 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-6)*6984\/(-11640).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a century in months?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 0 + 3*o - 1\/2*o**2 - 5\/6*o**3. What is the tens digit of l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 7*m. Suppose f = -2*o + 41, -3*f - 5*o + 100 + 28 = m. Factor 4 + 24*z + 12*z**5 + 84*z**3 + 4 - 5 + f*z**4 + 66*z**2.\nAnswer: 3*(z + 1)**4*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i**2 + 14*i**2 - i**3)*(-4 + 4 + 2*i)*(2 - i - 2).\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.798 + 0.298. Which is the fourth biggest value? (a) -10 (b) -1 (c) z (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:55 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -558 + -12774. What are the prime factors of (2\/(-6))\/(22\/p)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 48, 4, 3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42562, -4, -579 in descending order.\nAnswer: -4, -579, -42562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 18*b**2 - 22*b + 35. What is v(19)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1817730 and -107\/570.\nAnswer: 1817730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 3*x - 23. Let n be a(6). Let r(t) = 7*t**3 - t**2 + 5*t + 5. Let w(v) = -4*v**3 - 3*v - 3. Let c(p) = n*w(p) - 3*r(p). Give c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from qqmmokokomo?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6631 - 6596 + 32*m + 13227.\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 154, -1, -4, 2, -3 in ascending order.\nAnswer: -4, -3, -1, 2, 5, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4568*p - 148846 + 48350 = 0 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -188 - -769\/4. Calculate the common denominator of 26\/9 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -268 + 506. Let i = q + -237.99. Which is the closest to -0.3? (a) i (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from qkkqkkqkkkqqq?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2113*k + 1804 = -1211*k. Factor 17\/6*q - 7\/6*q**k - 1\/6*q**3 - 3\/2.\nAnswer: -(q - 1)**2*(q + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1317 (base 12) to base 10.\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/585 and -1\/4.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 2*-2 - 1. Let w = i + 4. Suppose 3*l - 40 + w = 0. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 797727837 and 11598?\nAnswer: 5799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a - 23*a + 11*a - 12*a**3 + 19*a wrt a?\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1589, -1739, -2107, -2789, -3881?\nAnswer: -5479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 331223?\nAnswer: 331213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59 and 0.04.\nAnswer: 2.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkd when three letters picked without replacement from {d: 7, k: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 - 2)*(-r + 4*r - 5*r) + (2*r - 6*r + 3*r)*(0 + 1 + 0) - 10*r - 4*r + 7*r in the form h + n*r and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1044473 (base 8) to base 5.\nAnswer: 32442031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1254 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006639 rounded to four decimal places?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3651, 6319, 8993, 11673?\nAnswer: 14359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 17.03. Let q = h + -3.03. Let x = -2 - q. What is the biggest value in -5, x, 0.05?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 51*d**2 - 241*d + 151. Calculate v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from zwzzzw?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 22 = 2*l - 3*l, 3*l = -2*m + 26. Solve -d + l*d = -4*v - 18, 5*v + 5*d + 20 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106.00123 - 106. What is l rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 14*d + 51. Calculate z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 8*y = -8. Suppose 5*m = 3*t - 19, -y*t - 5*m + 5 = t. Suppose 4*c = -2*h + 5*c + 51, 3*h - 3*c - 78 = 0. Solve -t*w + 8*w + h = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**8\/168 + m**5\/30 + m**2 - 1. Let b(s) be the second derivative of z(s). Find the third derivative of b(n) wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3 = v. Suppose -5*n = g - 17, -v*g = -4*n - g + 8. What is the remainder when 35 is divided by (-2 - 2)\/((-1)\/n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 6*k**2 + 21*k + 13. Let d(n) = -2*n**3 + 14*n**2 + 43*n + 27. Let m(y) = 13*a(y) - 6*d(y). Is m(-8) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7658840 is divided by 859?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1562674*f - 1562683. Determine z(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, k: 12, x: 1}. What is prob of picking 3 k?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 11) to base 3.\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6633326 - -322?\nAnswer: -6633004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 820 divide 669019140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 393502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 3*r + 2*q - q, -4*q = r - 44. What is the greatest common divisor of r and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -9*s - 9. What is the units digit of l(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.6105 to 0 decimal places.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 2, a: 8, y: 2, w: 1, r: 2, s: 4}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9057 + 362283\/40. Let z(m) be the third derivative of 1\/3*m**4 + 0 - 4*m**2 + 0*m**3 + y*m**6 + 0*m + 0*m**5. Find the second derivative of z(o) wrt o.\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -974741*r**2. Let w(s) = 6*s**2. What is q(w(o))?\nAnswer: -35090676*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.997 = -3407\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-1)\/(-1) - 142\/71?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0243 and -10?\nAnswer: 0.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-1 - 0 - -1). Let o(h) = 2*h + 0*h + h**2 - 4*h**r. Let q(j) = 0*j**2 + 5*j**2 - 7*j**2 + j. Calculate -3*o(z) + 4*q(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12021 - 2322332333?\nAnswer: -2322320312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 68.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 11:25 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 + -0.4.\nAnswer: 176.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2712?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-390)\/33 - (-32)\/(-2464)*14 - (-126)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b + 3. What are the prime factors of l(14)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14426.22 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2483 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m + 2*m)*(0*m + 2*m**3 + 0*m) - m**4 + 2*m**4 - 2*m**4.\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + 1 - 1 + (s + 2*s**2 - s)*(1 + 0 - 4 + (6 - 2 - 2)*(-2 + 4 - 4) - 1 + 1 + 1).\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -13. Suppose -3*m + 195 = -f*m. Let o = m - 38. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -130, -629, -1466, -2647, -4178, -6065, -8314, -10931?\n\"Answer: -f**3 - 163*f**2 - 3*f + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from gwqqiizivqiqi?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*z + 72, p - 31 = 2*z - 0. Is (-3 - -5)\/((-2)\/z)*1 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(0*u + 0*u + 3*u**2)*(-u**2 - 12 + 12) to b*u**2 + f*u**3 + t + i*u**4 + c*u and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1, -5, 2, 8834, 5 in descending order.\nAnswer: 8834, 5, 2, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -1170, -3913, -9240, -18009?\nAnswer: -31078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535601?\nAnswer: 11, 23, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.62327 take away -18524441?\nAnswer: 18524430.37673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, s: 4, m: 7}. What is prob of sequence fm?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 22\/(-8))\/(1\/(-8)). What is the remainder when 7 is divided by 0 + q - (16 + -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46915414*y + 143337811 with respect to y.\nAnswer: -46915414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1414981 * 0.3\nAnswer: 424494.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2 - 106*z + 98. Calculate b(9).\nAnswer: -1261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(-2)\/n*n))\/(n*n*n\/(n**(-3\/2)\/n)*n*n)*(n*n*(n*n*n*n**(-1\/12)*n*n*n*n)\/n)\/(n*((n\/n**12)\/n)\/n*n) assuming n is positive.\nAnswer: n**(173\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -14. Which is the closest to -1\/3? (a) 2 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, o: 2, b: 1, h: 1, m: 1}. Give prob of picking 1 o and 2 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 528981*v. Let b(a) = -a. What is b(j(x))?\nAnswer: x**2 + 528981*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -153030515?\nAnswer: 153030522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 11\/113306093?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 4*n**2 + 3*n - 5. Let l(q) = q**3 - q**2 + q - 1. Determine 3*l(z) - m(z).\nAnswer: 5*z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -7. Suppose 2*d + v - 9 = 0. Suppose -4*f = 3*h - 13, d*h + h = 2*f - 13. Let g(j) = -7*j - 1. Determine g(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:40 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -8. Let g = r + 8. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -255 + 259. Suppose 3*q + q = -192. Let l be (5\/j)\/((-6)\/q). What is the highest common factor of l and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = g - 3 - 11, -g - 2*b = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 135, 496, 1051, 1770, 2623, 3580, 4611?\n\"Answer: -5*h**3 + 127*h**2 + 15*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, 11, 26, 47, 74?\n\"Answer: 3*m**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, h: 1, m: 3, k: 1, d: 1, b: 9}. Give prob of picking 1 h, 1 q, and 2 m.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41.42 + -41.4. Which is the nearest to q? (a) -0.1 (b) -4 (c) 1 (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 15*b**2 + 6*b + 76. Calculate d(14).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 124059260 divided by 9505?\nAnswer: 13052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3800, -7621, -11444, -15263, -19072, -22865, -26636, -30379?\n\"Answer: k**3 - 7*k**2 - 3807*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -7. Let i(k) = -k**3 - 3*k**2 - k - 5. Let q be i(-4). Let d = q + m. Solve h - d = 3*o - 2*h, h = -5*o + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*g**2 - 370 + 366 - g**3 - 52*g**2 + 3*g in the form u*g**2 + v*g**3 + s + y*g and give u.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 1\/3147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 9:53 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from inillilllllllnllnnj.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/8 + (-5)\/(-20). Let o be 27 - 0\/(-1 - -2). Suppose j*s = s + o. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 2141?\nAnswer: 32\/2141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**3 - 1. Let w(b) = b**2 - 3*b + 1. Suppose 25 = u - 5*n, -2*u = -u - 2*n - 31. Let h be (-2)\/(-8) + u\/20. Let g be w(h). Give a(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 23\/2. Which is the third biggest value? (a) t (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -60*b + 32. Let i(t) = 59*t - 31. Let y(w) = 6*i(w) + 5*x(w). Let u be y(7). Suppose 0*j = -2*j + u. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k**3 - k)*(-4 + 6 + 2)*(3 - 7 + 8)*(-3 + 2 + 2).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 35 = 6*w - w, -4*y - 7 = -w. Let s(b) = 9*b**2 - 7*b + 8. Let o be s(w). Does 8 divide (-4)\/6 - o\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -1928*a + 1929*a, f = -3*a - 0*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 100\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -8*t**5 + 4612*t**4 - 2136*t**3 - 97012*t**2 + 140624*t - 46080 = 0.\nAnswer: -5, 1\/2, 1, 4, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-64) - (-5)\/(-4)*-2. Suppose g + g - 14 = -w*t, 3*g - 15 = -t. Suppose -g*f = -6*f + 66. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*p**3 + p + 2 + 53*p**2 - 2 - 12*p**3 - 2 + 4 as a*p**3 + u*p**2 + k*p + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 + 1496\/9. Let m = -10.6 + 8. Let h = 0.6 + m. Which is the biggest value? (a) h (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 37. Let k be t(-13). Solve 4*r - 18 = -3*h, -h + k*r = -3*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/((-20)\/(-30))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*w = -4, 3*w - 11 = k - 2*w. Suppose -14 = -5*t - k. What is the units digit of (-1 - (-8)\/t) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1136913 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (264 - 36 - 77) + -120?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109.469 - 0.8731267.\nAnswer: -110.3421267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 65, -2, -104, 0.09.\nAnswer: -104, -2, -2\/11, 0.09, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from nnnqqqnqnnnqnnnn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 838.936?\nAnswer: 842.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1132, -3181, -6596, -11377, -17524, -25037, -33916?\nAnswer: -44161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 229717290 a multiple of 1046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5203939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptcttptcccccpta. What is prob of picking 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -5*m**4\/3 - 2*m**2. Let p(o) = -8*o. Let h(r) = 6*k(r) - 28*p(r). Let t(w) = 540*w**2 + 543*w**2 - 1082*w**2. Give h(t(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 12*z**2 + 15*z + 6. Let g be t(10). Let x = 641 - g. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) -2 (c) 8.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.2 less than 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -9. Let z be (3 + 0)*g + 0. Which is greater: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61802 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 - 8*b**2 + 5*b - 6. Let j be z(6). What is the tens digit of (j\/(-30))\/(2\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n. Let q(c) = -80*c**2 + 11*c + 11. Let s(z) = -27*z**2 + 4*z + 4. Let p(a) = 4*q(a) - 11*s(a). Give i(p(f)).\nAnswer: 207*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (212 + 74*p - 212)*(p + 2*p + 0*p) + p - 3*p**2 - p + 7*p + 10*p**2 - 7*p.\nAnswer: 229*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**6\/70 + 9*x**5\/140 + 5*x**4\/7 - 6*x**3 + 120*x**2\/7 + x - 492. Find w, given that s(w) = 0.\nAnswer: -5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 891 - 893. Let x = -1 + 5. What is the second biggest value in x, -1, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 609438?\nAnswer: 4266066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**8\/6720 - n**7\/504 + n**6\/240 - n**5\/120 + n**4\/6 + n. Let r(i) be the third derivative of k(i). Determine r(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2\/5 (c) 3\/4 (d) -0.06 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 2751989508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 4*j - 3. Let i(n) = -n**2 - 2*n - 1. Let o(v) = 4*g(v) - 9*i(v). Let q be o(-4). Solve -6*f + 3*f = b - 11, -q*b - 17 = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.25 + -0.25000011. Round r to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v + 35. Let o be y(21). What is the greatest common divisor of o and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190388 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24457876411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -1.51?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 2, -5, -0.4, 18.2, 4\/7, 0.5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -577*h - 24. Let j(v) = -289*v - 11. Calculate 13*j(y) - 6*t(y).\nAnswer: -295*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*1)\/(-2 + (-22)\/(-14)). Does 4 divide 6\/4*((-448)\/(-24))\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 140\/12 - (-2)\/6. Let m be (p\/2)\/(-1 + 3). Let c(a) be the third derivative of a**5\/60 - 7*a**4\/24 + a**3\/2 - 76*a**2. Determine c(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -41*n**5\/20 - 83*n**2 - 4. Let j(u) = -14*u. Calculate j(o(q)).\nAnswer: 1722*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**6\/360 - 7*a**5\/120 - a**4\/3 - 11*a**3\/3 + 2*a + 66. Let v(t) be the third derivative of i(t). Determine v(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/34 in 0.1, -2, 2\/5, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1327 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -498*m**3*v - 589*m**3 wrt v?\nAnswer: -498*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/13 + 130172*b**3\/13 + 780984*b**2\/13 + 1561936*b\/13 + 1041280\/13 = 0. What is b?\nAnswer: -65080, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 3\/20*d**5 + 3*d**2 + 0*d + 0 + 1\/210*d**7 + 1\/3*d**3 - 7\/24*d**4 - 1\/24*d**6. Factor j(c).\nAnswer: (c - 2)*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -143*f**5\/5 + 13*f**4\/4 - f**2 - 2884*f + 2505. Find the second derivative of r(c) wrt c.\nAnswer: -1716*c**2 + 78*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1513503327?\nAnswer: 3, 7, 10295941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-14224)\/(-19050) + (-2)\/25\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1500 and 169\/150.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15992 and 53560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**2)*j)**(3\/7)*j**(-5\/3)\/j*j**(1\/5) assuming j is positive.\nAnswer: j**(-304\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -109364*h**2 - 2*h. Let o(m) = 5*m. What is n(o(r))?\nAnswer: -2734100*r**2 - 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2284*r = 59701 + 6535 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94597464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 11*k - 58. Let c be (9\/(-3) - -1)*(-45)\/6. Let m be d(c). Let v = -1 - -3. Solve -v*p = m*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 8. Let q be o(11). Let v(g) = 2*g**2 + 4*g - 1. Let w be v(q). Let u = 6 - w. Put 2, u, -4 in descending order.\nAnswer: 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/19 (b) 2\/9 (c) 40 (d) -1.39 (e) -0.2 (f) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, 12, 87, 224, 441?\n\"Answer: 3*w**3 + 4*w**2 - 2*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5104503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214816 divided by -13426.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 - 0. What is u rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 19\/4 + -2. Suppose 2*a + 2 = c - 2, 0 = -4*c. Let q = -1 - a. Is q > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14112 + -56451\/4. Let y = -0.2 - -0.21. Let g = 0.29 + y. Which is the biggest value? (a) -1\/6 (b) g (c) j (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 5*m - 6. Let x be l(4). Let i = x + 6. What is the highest common divisor of i and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -0.8. Let y be (-4)\/60*-6 + (-1)\/5. Sort -0.5, o, y, 0.4 in descending order.\nAnswer: o, 0.4, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -46, 1\/2?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 9 + 11. Let v be -7*(-2)\/(-3)*6. Let f = -13 - v. What is the remainder when f is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*((-22629)\/(-5558))\/((-2)\/(-8)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 < 284683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 27 = -5*z + 109, -4*z + 5*o + 76 = 0. Let m(g) = -g**2 + 7*g + 4. Let i be m(5). Calculate the highest common divisor of i and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -6. Which is the second biggest value? (a) -0.4 (b) 0.02 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/10 and 63\/1250.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 + 7*c + 24. Let r be 0\/9 - (3 - -1). Let v(s) = 3*s**2 + 8*s + 22. Let m(w) = r*p(w) + 5*v(w). What is m(10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (4 - 11) + 6 - (47 - 57)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/28)*b)**(2\/33) assuming b is positive.\nAnswer: b**(25\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5708.616688 and -0.5?\nAnswer: 5708.116688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27653, 110622, 248905, 442502, 691413, 995638, 1355177?\nAnswer: 1770030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(sqrt(847) + (sqrt(847)*-1 - sqrt(847)))*5 + -5*(4 + -2*sqrt(847)))**2.\nAnswer: -17600*sqrt(7) + 1355599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -11 (b) 2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvvvvvvvzvv. Give prob of picking 1 z and 3 v.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**5 - 20957*x**4 + 4*x - 10319?\nAnswer: -40*x**3 - 251484*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of w**3*z + 8522*w**3 + w**2*z - 7*w**2 - 4231765*w*z - 15*w - 5*z - 5 wrt z.\nAnswer: w**3 + w**2 - 4231765*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 13, -7, -45, -107?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6886614149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 0, 0.0575, -0.2, -2\/13, -2\/89?\nAnswer: 0.0575","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 810 and 14435760.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5341 divided by -6?\nAnswer: 5341\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 2 + 2 + (-3 + 1 + 1)*(8 - 15 - 10)*(3*s**2 - 2*s**2 - 3*s**2) to n + z*s**2 + d*s and give z.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(((-2)\/2)\/1). Let c = -2 - 1. Suppose 2*z - 4*z = -2*p, 4*z = 3*p - 5. Sort c, l, z in ascending order.\nAnswer: z, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547463 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 30172*s + 240777. Determine v(-8).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19760 or -12948?\nAnswer: -12948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335494114 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 10*o + 6. Let a be i(-10). Let f be (-18)\/(-12) - (-15)\/a. Suppose 3*u = 19 - f. Solve -2*t - 5*m - 2 = -2*m, u*t = m + 29 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 10 = -4*p. What is the units digit of 2*2\/24 + 550\/p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 7*x**2 + 5*x + 4. Let l be a(6). Is -0.01 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -0.132 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1457412118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -1, -0.05771, -4\/7 in descending order.\nAnswer: 0.9, -0.05771, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 301 - 296. What is the third smallest value in 6\/7, -3\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d - 47. Let g be x(15). Let h be 1\/((-7)\/21) + g + 0. Which is smaller: h or 27?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -12. Let n(c) = -c**3 + c**2 + 1. Let l(z) = -z**3 + 5*z**2 + 1. Determine q*n(s) + l(s).\nAnswer: 2*s**3 + 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203040 + -101?\nAnswer: -203141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1001509 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 61*i - 23. Let v(w) = 62*w - 21. Let g(c) = 6*a(c) - 5*v(c). Is g(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635492.8kg to milligrams.\nAnswer: 635492800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqtkkdg. Give prob of sequence dqk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2. Suppose 42 = 4*j + 6. Let b(m) = j*m - 6*m - 6*m. Determine b(g(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -4. Suppose -5*x + 2*x = -p. Let z(f) = -f**3 + 5*f**2 - 4*f + 6. What is the lowest common multiple of z(x) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59903 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 13*k - 30. What is the third derivative of -5*y**6 - 34*y**2 + 22*y**2 - 21*y**k wrt y?\nAnswer: -600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730091785.\nAnswer: 5, 17, 3253, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2*i - 4*i + 25 = 0, 887*x - 5*i = -887*x + 1777*x - 28 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.1145 and -0.883.\nAnswer: 14.2291035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*f - 1279 - 2921 = 0 for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(4\/7)*d)\/d**(-1\/2)*d\/(d**(-1)*d)*d**8*d)\/(d\/(d**(-1\/6)\/d)*d**(-6)*(d**(-2\/5)\/d)\/d**(-1)) assuming d is positive.\nAnswer: d**(1712\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 13 + 49 + 76450*g - 67.\nAnswer: 76450*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 41812, -4, -27\/8?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 2) + (-7 - -11). Suppose -4 = 2*k - q. Let r(t) = t - 1. Let j(a) = 12*a - 12. Let m(l) = k*r(l) + j(l). Find the first derivative of m(b) wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-5))\/(((-1)\/(-20))\/(750\/(-1800))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (546\/(-693) - (-108)\/(-198))*4074\/56\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d + 1. Suppose -s - 2 + 5 = 0. What is the remainder when 73 is divided by w(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -28*h**4 + 2*h**3 - 9*h**2 - 2*h. Let k(f) = 29*f**4 - 3*f**3 + 9*f**2 + 3*f. Let p(c) = -3*b(c) - 2*k(c). Find the third derivative of p(d) wrt d.\nAnswer: 624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -1\/6*v**4 + 1\/6*v**3 + 1\/20*v**5 + 0 + v - v**2. Calculate d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 1:44 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28477 (base 15) in base 7?\nAnswer: -1045600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 10 = -3*w, 0 = 457*w - 454*w - 5*y + 38 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(7)*-3 + 3)**2 - 6*(sqrt(21)\/(sqrt(24)\/sqrt(8)))**2.\nAnswer: -18*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 33*b**2 + 9*b - 2. Let l be x(1). What is the greatest common divisor of l and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*n - 8, -4*t = n - 1741. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzazaafazzaaaf. Give prob of picking 3 a.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 13*t**2 - 10*t - 37. Let w be y(15). Suppose 262*j = w*j - 3377. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4860209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/11 - 527916*c\/11 + 34836912882\/11 = 0.\nAnswer: 131979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12280 is divided by 2454.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -38\/3, 1\/8, -116, 3\/4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 2*k + 3. Let g(d) = -d**2 + 15*d - 7. Let m be g(13). Let o(y) = y**2 + y - 4. Let t be o(-5). Let r = m - t. What is v(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409662211.\nAnswer: 7, 19, 3080167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3400, 5, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 33*m**5 - 2*m**2 + 3*m + 159. Find the second derivative of f(s) wrt s.\nAnswer: 1980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -165970 + 159165245\/959. Find the common denominator of z and -11\/10.\nAnswer: 9590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -238, -477, -716, -955, -1194?\n\"Answer: -239*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*a + 67*a = -488 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 69266, 138955, 208644, 278333, 348022?\n\"Answer: 69689*h - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j**2 - 6*j - 2. Let b(x) = 8*x**2 + 7*x + 2. Let w(n) = -6*b(n) - 7*c(n). Determine w(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -360663000 to the nearest 1000000.\nAnswer: -361000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 743*w - 1245*w + 506*w. Let p(n) = 5179*n**2. Determine p(u(k)).\nAnswer: 82864*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 8122147.\nAnswer: 12\/8122147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 - 153*z = 0 for z.\nAnswer: -51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - v + 11 = 0, 9471*x + 3*v = 9469*x + 19 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - -1 - 2\/2. Let w = -43 - -46. Suppose 0 = 5*p - w*p - 8. Are p and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -0.2, 4, -2\/3, 56\/11 in ascending order.\nAnswer: -2\/3, -0.2, 3\/4, 4, 56\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/4, -1, 0.9, -0.395?\nAnswer: -0.395","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -68*s - 6. Let d(c) = 203*c + 17. What is -4*d(h) - 11*o(h)?\nAnswer: -64*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725193807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1339 or 1314?\nAnswer: 1314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-6))\/((-28)\/(-294)). What is the nearest to n in 2\/7, -2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26567755 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-4)\/((-48)\/(-6)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 12*t**2 + 13*t**2 - 33*t**2 + 6*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/(-165)*-3*20\/(-72)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*n + 4 = 0, -4*r + 136 = 5*n + 162 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:41 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(162))*5.\nAnswer: -5 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1627\/2 - 858. Calculate the common denominator of j and 11\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -8. Solve f + 1 = g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 8. Let y be h(-5). Factor -3*t - 9*t - y + 3*t**2 + 12.\nAnswer: 3*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27220 = -6*y + 2*y. Suppose 5*v + 3*n - y = 0, -5*v - 1684 + 8489 = 4*n. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10986747077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 y, and 1 i when three letters picked without replacement from yvdidiii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 222.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 1074*k**2 - 2136*k**2 + 18*k + 5*k**3 + 1071*k**2 - 4*k**3 = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Let u(v) = -2 - 1 - p + 4. Let r(b) = -2*b**2 + 2*b + 6. Let f(j) = j**3 + j**2 + 2*j - 6. Let d be f(0). Calculate d*u(y) - r(y).\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 124*x + 1. Give u(-1).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-20))\/(47\/(-5)). Let h = 55\/188 + t. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -1\/40*h**6 + 0*h**4 + h**3 + 0 - 5*h**2 + 0*h + 1\/120*h**5. Let d(x) be the first derivative of j(x). Give d(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255074 is divided by 72.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0. Let j = -303 - -304. Sort 7, h, j in descending order.\nAnswer: 7, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 10*w**3 - w**2 - 18*w - 212. Determine g(-3).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 276\/12 - (-134 + 171)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.4 + -2.4. What is the second biggest value in k, 2\/9, -1, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*t - 6. Suppose -2*q = 0, 45 = 3*o + t*q - q. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126973\/(-2431) - (4 - 440\/104).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972095634.\nAnswer: 2, 3, 61, 295111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + -1.3. Let m = 23.30117 - 24.3015. Let s = a - m. Round s to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -2. Let o = 3 - 2.9. Let q = -2.8 - -3. Which is the closest to 0? (a) o (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 119 + -2a?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*j**2 + 866*j**2 - 435*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87891*s**2 - 91547.\nAnswer: -175782*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 4:00 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2844 = 5*h, -11*p - 2*h = -9*p - 1422. Let t = 1390 - p. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -2*z**2 - 3. Let b be k(3). Let c = b + 36. Solve 4*x = 5*j - 3*j - c, x + 4*j = 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/21 + (-6)\/(-9). Let g(w) = 1 - 3*w - 644*w**2 - 4 + w**3 + 644*w**f. Let y(i) = i**3 + i + 1. Give -g(q) - 2*y(q).\nAnswer: -3*q**3 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -73*o**2 + 54*o + 52*o - 106*o. Let z(s) = -s. Determine t(z(f)).\nAnswer: -73*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/22231 + 11813\/88924. What is the common denominator of 89\/4 and d?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20958 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x - 9. Let z(b) = 4*b + 2 - 5 + x. Let i(s) = -5*s**2 - 9*s. Let l(t) = -t**2 - 2*t. Let k(o) = -4*i(o) + 18*l(o). Determine k(z(w)).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*o + 4*q - 2 = 78*o, -3*q = 16*o - 89 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 5*f**2 - 6*f + 6. Suppose -2*u - 11 = 3*m + 3*u, 2*m + 3*u + 8 = 0. What is the remainder when -2 - -4 - m - -2 is divided by z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7501, 28715, 64073, 113575, 177221, 255011?\n\"Answer: 7072*o**2 - 2*o + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -456, -445, -418, -369, -292, -181, -30?\n\"Answer: p**3 + 2*p**2 - 2*p - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -15. Let a(p) = 2*p**2 - 2*p**2 + 5*p**2 - 4*p**b. Let y(f) = -8*f - f + 3*f. Calculate a(y(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-291)\/(-1)*(-1)\/3. Let f = x - -154. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3386445.788 - 0.0717.\nAnswer: -3386445.8597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7240574?\nAnswer: 2, 11, 449, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.493043 rounded to 3 dps?\nAnswer: -0.493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7576 - -5953. Does 44 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 33 = -4*f - 9, -5*f + b + 30 = 0. Is (-236)\/6*(-9)\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302 divided by 12\nAnswer: 151\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40821969.\nAnswer: 3, 13607323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 78215650 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*o + 10. Suppose -3*x = -4*x - 1. Let c be (-4)\/(-3)*(x + 4). Solve o*h + c*k = 10, -5*k + 11 = 4*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7790.242 centuries in decades?\nAnswer: 77902.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184 - 187) + -34 + 0.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62, -124, -178, -206, -190, -112, 46, 302?\n\"Answer: 3*j**3 - 14*j**2 - 41*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.3 (c) 2.3 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 598699*p**3*t**2 - 2*p**3 - 9*p**2*t - 12565*t**2 - 11*t wrt p?\nAnswer: 3592194*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682.898 times 0.3?\nAnswer: 204.8694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.3. Suppose 103 = -19*f + 27. Sort f, -4\/7, q in decreasing order.\nAnswer: q, -4\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*k - 3*k, k + 2*g = 9. Suppose n = 5*p + 6, -2*p - k*p = 10. Sort n, 5, 0 in decreasing order.\nAnswer: 5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3))**15\/(w**2)**(-1\/32))**31 assuming w is positive.\nAnswer: w**(4991\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o + 8. Let x(q) = -3. Let w(z) = 1. Let c(u) = -7*w(u) - 2*x(u). What is -6*c(n) - k(n)?\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-2\/3)\/s)\/s)\/s**(2\/37))**22 assuming s is positive.\nAnswer: s**(-4202\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16880772 to the power of 1\/2, to the nearest integer?\nAnswer: 4109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -1.038.\nAnswer: -0.2076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 66.2. Let o = i + -5.8. Let c = -1111\/7 - -159. What is the third smallest value in c, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*i = -5982 - 6824 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-4)\/2*8\/(-16))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15715)\/315 - -51) + 3\/(-6)*-4?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + k + 15055 = 0, 5*k = -153*p + 155*p - 15035. List the prime factors of p.\nAnswer: 2, 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49499*j - 24648*j - 24849*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**6*x*x**(2\/11))\/(x**(2\/7))**(4\/3) assuming x is positive.\nAnswer: x**(1802\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -1. Solve g*s + 2 + 10 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1918 by -2.\nAnswer: -959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35390, 35215, 35040, 34865?\nAnswer: 34690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -2 - -5) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/28 and 15\/1804.\nAnswer: 12628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43976?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 609 (b) 2 (c) 1074\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l + 4*l - 4*l)*(-430 + 548 - 896) + (1 - 1 - 2)*(4*l + l + 0*l) to the form y*l + k and give y.\nAnswer: -2344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 110220102130 (base 4) to base 14\nAnswer: a0ab48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1812677\/62 - -29238. What is the common denominator of -24\/25 and i?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(5 + (sqrt(832) - (-3 + sqrt(832) + -4))*-3 + -2) + -3))**2.\nAnswer: 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37015351 (base 8) to base 5.\nAnswer: -4040231403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -31*q - 11. Calculate f(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -17. Solve -s*y + 8 = -5*t + 2*t, 5*t = -5*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 892.99999602 + -893. What is a rounded to 7 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113824578 divided by -18970763.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30594.\nAnswer: 2, 3, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 4*q**2 - 1. Let s be r(-2). What is the common denominator of 83\/10 and s\/12 - (3 + -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 18}. What is prob of sequence iv?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, p: 1}. Give prob of picking 3 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007787 to 6 dps.\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510 = -169*p + 212 + 125 + 674 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210222 + 220?\nAnswer: 211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1611744\/17 or 94807?\nAnswer: 94807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184393531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 - (12 - (9 + (-3 - 13)))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47989111.8 rounded to the nearest ten thousand?\nAnswer: 47990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 16*i**2 - 5*i. Suppose r + 8 = 2*q, q - 3*r - 7 = -8. What is the hundreds digit of d(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14635487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**4*i\/(i**(-5\/4)\/i)*(i\/(i**(2\/5)*i))**(1\/2)*((((i*i**(-6))\/i)\/i)\/i**(3\/2))\/(i\/(i*i**(1\/3))*i*(i\/i**(4\/3))\/i) assuming i is positive.\nAnswer: i**(13\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 346\/55 + -56\/11. Let k = 23\/15 - i. Sort k, 0.4, -22 in increasing order.\nAnswer: -22, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 12:42 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.7 - -1.5. Let f = -4.8 + a. Let j = -5.164 - f. What is j rounded to two decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-440)\/(-55) - 1\/1. Suppose -5*i + 9 = 3*m, 0 = 3*m + 3*i - q*i - 9. Which is bigger: -9\/14 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-3) - (2 + -8). Suppose 2*c + 50 = f*c. Suppose c = 2*g, -3*g = -4*a - 2*g + 135. What is the greatest common divisor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1823\/26 in -0.4, 1, 0.04, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiikkpkiigiiiiip. Give prob of sequence igkk.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 28 + -21 + -12 + -7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b - 13 + 2*b**2 - 12*b**2 - 5*b**4 + 4 + 10*b**2 to the form z*b + p + n*b**3 + u*b**2 + g*b**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 7*y**2 - 9*y - 8. Give k(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18, -7, 6, 21?\n\"Answer: d**2 + 8*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1133*t - 481. Is 5 a factor of i(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 32*k + 58. Determine h(-26).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2256767 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v - 6*v = 41*v - 152 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -1)\/(188153100\/17104830 + -11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*5*14\/(-9). Let w = b + 788\/33. Let n = 8 + -8. Is n less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56994\/31 or -1840?\nAnswer: -56994\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4468.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 194\/(-22) + 10\/(-55). Let j = -6 - l. Suppose -7*f + 6*f = -j. Solve -3*r + 0*r = -f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -349e + 68?\nAnswer: -3436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -42, -50, -46, -24, 22?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 - 3*y**2 + 4*y**2)*(-10 + 29 + 22)*(-3*y + 0*y - 3*y) to the form u*y**2 + v*y**3 + n + s*y and give v.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12152513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(20) + (sqrt(140) + (4*sqrt(140) + sqrt(140) - sqrt(140)) - sqrt(140))\/sqrt(7))\/(sqrt(400)*4))**2.\nAnswer: 15\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2974.\nAnswer: 2, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by -20*((-11)\/5 - -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010001 - -1100?\nAnswer: 10010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, e: 6}. Give prob of picking 1 l and 2 e.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**4 - 41*w**3 - 206*w**2 - 256*w - 96 = 0. Calculate w.\nAnswer: -2, -1, -4\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111101011111101001110 (base 2) to base 16.\nAnswer: 5ebf4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 - 811*j**2 + 13033*j\/2 - 5705.\nAnswer: -(j - 7)*(j - 1)*(j + 1630)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4512, -16851, -37024, -65025, -100848, -144487, -195936, -255189?\n\"Answer: f**3 - 3923*f**2 - 577*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 20*b**2 + 22*b - 61. Is k(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(15)\/sqrt(5) + (sqrt(36)\/sqrt(4))\/sqrt(3) + ((-1*sqrt(21))\/sqrt(7))**2*4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -219007 - -107007. What is s rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7367068 nanograms to milligrams.\nAnswer: 0.0000007367068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -204534, -408966, -613398?\n\"Answer: -204432*s - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -7431, -6.4 in decreasing order.\nAnswer: -0.5, -6.4, -7431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t - 4 = 50*t. List the prime factors of ((-698)\/t)\/((-3)\/(-6)).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/((-40)\/(-25))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01065547 - 0.2086099?\nAnswer: -0.21926537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 k when three letters picked without replacement from tkxtkptxkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(104)\/(sqrt(8) + 1*sqrt(200)))*-4 + 3.\nAnswer: -9 - 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 4940*h - 4926*h - 208. Calculate the greatest common factor of 250 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -504.72725899 and 0.025.\nAnswer: -504.70225899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/(-5))\/(-4)*(-41320)\/(-12396)?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(((j\/j**(-4\/9)*j)\/j)\/j)\/j)\/j**(-5\/6)*j*j**19*j*j*j**(-3\/8) assuming j is positive.\nAnswer: j**(1721\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + sqrt(5)*1 + (sqrt(40) + sqrt(360)\/sqrt(9))\/sqrt(8)))**2.\nAnswer: 24*sqrt(5) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 2. Let a(d) = -d + 5. Let k be a(5). Suppose q + 3*w - 8 = k, -3*q + 2*w + 4 = w. Suppose -2 = 2*x + q. Calculate y(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*x - 501 = 0, 8 - 3 = -x. Calculate the remainder when o is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -10329249*q. Let b(f) = -17*f**2. Determine h(b(u)).\nAnswer: 175597233*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 7 - -2*1. Suppose 5*p - 13 = 17. Suppose -p = 2*n - 4*z, z = -5*n + 27 - 9. Solve -j + 3*f = n*j + v, -5*j - 17 = -2*f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/15 - 13036*j\/15 + 266848\/5 = 0.\nAnswer: 62, 6456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hihhe. What is prob of sequence ei?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*n**3*q**3 - 4*n**3 + n**2*q**3 + q wrt q?\nAnswer: -108*n**3*q + 6*n**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4033 take away 0.06850181?\nAnswer: -1.47180181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a**2*d**2 - 7*a*d**2 + 21*d**2 with respect to a.\nAnswer: -10*a*d**2 - 7*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -11*p + 13. Let n(q) = -4*q + 4. Let u(w) = -4*h(w) + 14*n(w). What is the derivative of u(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 91*o - 1552. Let m be t(17). What is the fourth smallest value in 3, m, -0.8, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 236.121 - 236. Let w = p - -8.879. Let b = -8.88 + w. What is b rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4936894289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2590 = -109*i + 72*i. Calculate the remainder when 167 is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 12. Suppose f*u = u + 3, -3*u - 96 = -5*h. Let n = h - 17. Solve 4*r = -n, 0 = -4*c + r - 4*r + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -84383, 5, -1039?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -41, -52, -49, -32, -1, 44?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ememmeeemmee. Give prob of sequence ee.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 25*m + 40. Give h(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 10:31 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w + 12*w + 17*w - 1.\nAnswer: 15*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 11. Give g(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16696 = -9*l + 13*l + 4*o, -5 = o. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(1064\/16))\/((-1)\/14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3434 - 230352?\nAnswer: -222514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 0 + 3*u - 3 + 8*u - 2*u**2. Let n(s) = s**2 - 7*s + 2. Let d be 3 + 2 + -3 - -3. Let l(h) = d*o(h) + 8*n(h). Factor l(k).\nAnswer: -(k + 1)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.053, 5 in increasing order.\nAnswer: -0.1, 0.053, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 9*k + 5. Let b(y) = -y**3 - 4*y - 2. Let z = 7 - 9. Let m(f) = z*c(f) - 5*b(f). Find the second derivative of m(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 1)**2 + 5.\nAnswer: 14*sqrt(19) + 937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -20*u**2 - 17*u + 11. Let k(a) = -6*a + 0*a**2 - 8*a**2 + 4 + a**2. Give -17*k(h) + 6*q(h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25518 by 3.\nAnswer: 8506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 55 = 2*t. Let n be (-14)\/(-4) + t\/22. Let y(u) = -u**3 + 3*u**2 + 2*u. Let d be y(n). Are -7 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**4 + p**4 - 367*p - 366*p + 5 + 735*p - 2*p**3 to z + h*p**3 + l*p + d*p**4 + v*p**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11216 divided by -2?\nAnswer: -5608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502046615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**5 - 471*o**4 + 14670*o**3 + 159828*o**2 + 447960*o + 381600 = 0. Calculate o.\nAnswer: -5, -2, 60, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*a - 3 - 3, -2*a = -2*g + 10. Let o(x) = -4*x + 1 + 5*x + 2 - 6. Let r be o(g). Solve 0*d - d = -r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3 - (-26 - -31)) + -11.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(-7*r**2 + 3*r**2 + r**2) in the form k + l*r + f*r**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -611378.4 rounded to the nearest ten thousand?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(0 + -1))\/(-2). Suppose 5*o = -4 + 9, 2*k = 5*o + 3. Solve -2*p + a - k = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + ((-4*(sqrt(931) + -1) - sqrt(931))**2 - sqrt(931)) - ((sqrt(931)*-1 + -5)*2)**2)*-4.\nAnswer: -77879 + 2268*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**3 + 1. Let h(b) = -b**3 - 1. Let l(w) = -4*h(w) - x(w). Let f(r) be the first derivative of l(r). Let g(t) = -8*t**2. What is g(f(q))?\nAnswer: -288*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 0.3, 2\/5, -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llzogglzizmzlzzllzm. What is prob of picking 3 z?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4096 a factor of 8821663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*h**5 - 2*h**3 - 7207*h**2 - 47385*h + 47385*h wrt h.\nAnswer: -1140*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*q**3 + q**2 + 4*q - 35641?\nAnswer: 66*q**2 + 2*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-2)*88\/(-55). What is the second derivative of -2 - 10*t**4 + 12*t**4 + 2 + k*t wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/42, -1, -2, 0.4 in decreasing order.\nAnswer: 0.4, 1\/42, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -2631?\nAnswer: -2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 1. Let x be a(6). Let i(t) = 14 + 2*t - 16 + 5*t. Let m(q) = -6*q + 2. Determine x*i(h) - 6*m(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 614, 1\/3, -10, -72 in descending order.\nAnswer: 614, 1\/3, -10, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*m - 12. Calculate the common denominator of m\/(-8)*(-3)\/(-7) and (-4)\/8 - -3*6\/(-20).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 124\/1178 + (-224)\/(-38)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 986, 1964, 2934, 3896, 4850, 5796?\nAnswer: 6734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.13 + -10.4. Let m = f + 0.27. Which is the third smallest value? (a) -2\/5 (b) m (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*u + 64 = -147*u. Solve 4*a - 5*a - 2 = -3*h, -u*a - 10 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.12 + -0.12. Let n = 44.7 - 45. What is the closest to -1 in 1\/2, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -j - 4*q, 3*j + 73950 - 74001 = -3*q for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 530149 and 1212?\nAnswer: 6361788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/1 + (0 - 2). Let t = -5.3 + 1.3. What is the closest to -0.2 in -3, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 239, 356, 473, 590, 707?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 1375.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 193725628 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 114792468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k**2 + 9*k + 2. Let u(q) = -3*q. Calculate b(u(d)).\nAnswer: -63*d**2 - 27*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*n**2 - 12*n + 11 - 40*n**2 + 55*n**2 - 18*n to the form w + u*n + a*n**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2572*q + 358 + 1285*q - 358 in the form z*q + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7575 + 28388. Is 277 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28937010 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 2\/49, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4090950 divided by 1363650.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437330.\nAnswer: 2, 3, 5, 47911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5882)\/(-272) - (22\/(-16) - -1). What is the greatest common factor of b and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 6962 - 706\/9*t**2 + 20650\/3*t + 2\/9*t**3 = 0.\nAnswer: -1, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(45) + 0 + sqrt(45))**2.\nAnswer: -48*sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3549, 13381, 29767, 52707, 82201, 118249?\nAnswer: 160851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) + sqrt(187)*-1)*-3 - (sqrt(187) + (sqrt(187) - 4*-2*sqrt(187))))\/(-6*((sqrt(11)*-1*-4 - sqrt(11)) + sqrt(11))).\nAnswer: 3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2. Let o(n) = -4*n - 3. Let x(m) = -4*m - 4. Let c be (16\/(-20))\/(1\/(-5)). Let t(d) = c*o(d) - 3*x(d). Give l(t(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 divided by 448053.\nAnswer: -75\/149351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14 + 14 - 30 - 10*m - 2*m**2. Let d be a(-5). Let j be 16800008\/d - (-7 + 3). What is j rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 7 + 13 = -5*b, 0 = -b - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6 take away 0.056368?\nAnswer: -3.656368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0.4, -84894, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -0.0894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55 - 165 - -114) + 23.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -59, -25, 9?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 225 + -224. Let u(k) = k**3 + 7*k**2 + 5*k + 6. Let c be u(-5). Suppose c = z - t. Calculate the remainder when 92 is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 - 40*d + 16. Let x be y(5). Which is smaller: -260 or x?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2088454 is divided by 111?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - v**2 - 6*v + 4*v - 8 + 3. Let b be y(-4). Let k = 82 - b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 7*r - 24. Let w be b(10). Suppose -3 = 5*y + f, 4*y + 0*f + 5*f - w = 0. Is 226\/12 + (0 - y\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, w: 11}. What is prob of sequence wu?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and 1.5203.\nAnswer: -27.3654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 22*x**2 - 20*x + 7. What is m(-21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5089643\/180 - 28275. Let x = l + -2\/45. Suppose -x*f**2 - 3\/2*f - 3\/4 = 0. Calculate f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vltp when four letters picked without replacement from vvktlpy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.064 - 51.864. Let d = p + 52. Put 15, d, -4 in decreasing order.\nAnswer: 15, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232503 divided by 2\nAnswer: -232503\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29\/14 + -18\/7. What is the third biggest value in w, 7\/3, 2\/21?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a - 11. Let q(u) = -6*u - 11. Determine 5*q(h) - 6*x(h).\nAnswer: 12*h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -36. Suppose 3*k - 144 = t*s + s, -4*k + 5*s = -191. Suppose 13*i - k = 2*i. Let f(v) = v - 9. Determine f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -g, -4*g - 4 = -5*h - 1. Let b = h - -1. Suppose -5*t - 85 = -4*f, -4*f + 3*t + 56 + 27 = b. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1528*b + 112 = -1514*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6264\/(-5742))\/((-12)\/(-66)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**6\/120 - h**5\/30 - h**3\/6 + 3*h**2. Let j(y) = y**3 + y**2 - 1. Determine 2*j(a) + u(a).\nAnswer: a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -15, -26 = -12*j + 13*j - h. Let z = -3 + 5\/2. Which is the second biggest value? (a) z (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o - 3*n - 1041 = 0, 0 = -o + 3*n + 267. Let p = 384 - o. Suppose 3*f = 6*f - p. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1889*u - 9554. Determine d(5).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 22*t**2 - 24*t + 63. Calculate p(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 8*s**2 - 18. Determine l(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-1) + (-100975)\/7350 - 6\/(-36)*1.\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2084\/(-1563))\/(((-1)\/(-2)*84\/(-18))\/1).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24 + 66\/7*b - 6\/7*b**2.\nAnswer: -6*(b - 7)*(b - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -38. Calculate the least common multiple of 30 and t.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 1 + 13 + 370*u - 372*u + u**3 + 3*u**2 to h*u + j + w*u**3 + o*u**2 and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/4))**(-1\/32)*(z**1)**(-31\/5) assuming z is positive.\nAnswer: z**(-3983\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 3*s**2 - 3*s. Suppose -25 = -5*o - 10. Let u be p(o). Let z = -265 + 463. Calculate the highest common factor of u and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-4)\/47)*(167\/501)\/(4\/24).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + a + 11*a)*(-8 + 7 - 10) to y*a + t and give y.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215637 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**5)\/(f\/f**3))\/(f**0)**(-5\/4))\/((f**1*f)**21\/((f**(-4)\/f*f)\/f**(4\/7))) assuming f is positive.\nAnswer: f**(-340\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j - 120 = 25*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -2\/3*s**4 + 5\/3*s**3 - s**2 + 5*s + 0. Factor u(o).\nAnswer: -2*(o - 1)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 35 + 10*m in the form q + y*m and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 + 37*q**2 + 10*q + 209. Give h(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**3 - 5*l**2 + 5*l**2)*(0 + 2 - 4) + 1585*l**3 + 5939*l**3 - 3*l**2 + 1565*l**3 + 5*l**2 - 2*l**2 to the form b*l**3 + z*l**2 + q + n*l and give b.\nAnswer: 9087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 5)*(-2 - 2*i + 3 + 3*i) - 12*i + 9*i + 6*i as h + a*i and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3437 - 3428.7. Let m = -11.905807 + 3.6058. Let g = k + m. What is g rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + -4 + (5 - (8 + -25 + 3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*c**2 - 91*c**2 - 85*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/4)*a*a)\/(a**(-2\/3)\/a) assuming a is positive.\nAnswer: a**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 2. Let t(q) = -2*q + 4. Let c be (-23520)\/(-910) - ((-12)\/26)\/3. Suppose 5*m - 12 = 4*j, -j + 5*m - c = -4*j. Determine j*t(r) + 5*w(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 2*s - 9, 702*s - 353*s = 351*s + 2*a - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 18.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48103 = 33*m - 1430. List the prime factors of m.\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.09 (b) -1 (c) -1584 (d) 5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**8\/6720 + g**7\/1260 + g**6\/720 - g**5\/120 - g**4\/24 + 5*g**2. Let s(b) be the second derivative of k(b). Is s(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10429 + -6957. What is the greatest common factor of j and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0.1 (c) 24 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -986\nAnswer: 25\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 + 91. Solve z*n - 3 = 10*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 0.108215598525?\nAnswer: 0.208215598525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4, 1631, 2\/11 in ascending order.\nAnswer: -2\/5, 2\/11, 4, 1631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/10)\/(14\/(-700)). What is the units digit of (192\/y)\/((-4)\/(-70))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.14 less than 15\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m = 213. Let z = -145 - m. Suppose 0 = u + 2*u - 42. Calculate the remainder when z is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 2. Let m(l) = 2*l + 20. Let k be m(23). Suppose k*u + 14 = 59*u. What is c(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8777.6 take away 29.113?\nAnswer: -8806.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -465 by 3497.\nAnswer: -465\/3497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24414, 48750, 73004, 97176?\n\"Answer: -41*s**2 + 24459*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146 and 16.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 29486211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24106168 and -2?\nAnswer: 48212336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 - 4)*(-96*w + 93*w - 3*w**3 + w**3) + w**3 + 5*w - 5*w in the form m*w**3 + t + u*w**2 + b*w and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 1:51 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 70210385 to the power of 1\/3, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 - 22*y**2 - 33*y - 660. What are the prime factors of p(-20)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 2580228.\nAnswer: 2580228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32991391 rounded to four dps?\nAnswer: 0.3299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((20\/130)\/2)\/(14\/91))\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8. Let r(c) = 8*c - 13. Let g(f) = -r(f) - 2*z(f). Determine g(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/209*1\/(-3)*-9?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44880.\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 27*v**5 - 19959*v**4 + 44124*v**3 + 70992*v**2 - 176928*v + 35376 = 0?\nAnswer: -2, 2\/9, 2, 737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - v + 70, 5*t + 51*v - 75 = 49*v for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 4*n**2 - 16*n + 12979. What is the smallest common multiple of 10 and x(0)?\nAnswer: 129790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (99\/(-132))\/(21\/224)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50 + 10 - 8450*f + 40)*(2 - 2 - 4*f) to the form w*f + j + d*f**2 and give d.\nAnswer: 33800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12502 by 312.\nAnswer: 6251\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/53030787 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176230*g**4 - 1844*g - 162 - 171*g**2 - 176178*g**4 - 150 + 1487*g**2 + 788*g**3 = 0. What is g?\nAnswer: -13, -3, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1186 + 3550\/3. What is the third smallest value in w, 0.4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y. Suppose p - 14 = 2*v + 6*p, y = -5*p - 10. Which is bigger: -36\/11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.3 - -2.3. What is the nearest to -2\/7 in 3, 4, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 5\/7 (c) -0.3 (d) -1259681\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 9 + 9)*(1 - 1 + 4)*(1 - 1 + p + (2 - 2 + 2)*(5*p - 2*p - 2*p) - 3*p + 3*p - p + p + 0 + 0 + 0*p + 2*p - p).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -130.\nAnswer: 130.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.585 - -5.805. Let d = -0.89 + s. Let p = d - 29. What is the second biggest value in 2\/13, -6, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l - l**2 - 7\/6*l**3 + 0 - 85\/6*l**4. Is p(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44862 or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-28))\/4*-1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (698 - 671) + -2 + 47.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29021 is divided by 631.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 52 and -2173101.\nAnswer: -2173049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3*x + 1)*(-5*x - 55*x + 0*x) + 5*x**2 - 4*x**2 + x**2)*(2*x + 1 - 1) as p*x**2 + a*x**3 + f*x + n and give a.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-525))\/(960\/(-1050))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 11 + 4*b + 2 - 61.\nAnswer: -b - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, b: 12}. What is prob of sequence bbbx?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 11974205.\nAnswer: -2\/11974205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 43. Solve -1 = b, 4*o = -5*b + 2*b - p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - u**2 - 2*u**2)*(-2*u + 2*u - u)*(3 + 6 + 29).\nAnswer: -38*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 24 - 41. Suppose 0 = s*p - 11*p - 46. Is p a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1849*k**2\/3 - 763766*k\/3 + 78872161\/3.\nAnswer: (43*k - 8881)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 19084199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1389009\/8 - 173626. Let g = -20820471\/88 - -236599. Let b = g + -26\/11. What is the closest to d in 8, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/21252 and 107\/276.\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*o + 3*s + 3, -3*s = -5*o + 9. Let q(x) = x**3 - x**2 + 1. Let d be q(o). Suppose -2*n = -5 - d. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -197*h**2 + 29*h + 750. Calculate t(-4).\nAnswer: -2518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58769 by -3457.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2\/767811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**5\/60 + 51*l**2 + 2*l. Let x(c) = 6*c - 4*c + 3*c. Give b(x(r)).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1.6 (b) -4 (c) 2\/5 (d) 0 (e) -1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 337*w - 54 + 3*w + 327*w - 667*w.\nAnswer: 3*w**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5455 (base 10) to base 2\nAnswer: 1010101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/((-25)\/30))\/((-2)\/7). Let q(y) = y**3 - 22*y**2 + 21*y. Let k be q(j). Which is bigger: -1\/11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/5, -0.6, -2 in decreasing order.\nAnswer: 2\/5, 0, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -27. Suppose 3*l + 9 = 15. Let j be ((-2)\/4)\/(l\/(-108)) + 1. Calculate the greatest common divisor of t and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((-6)\/18 - (-67)\/(-33))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t + 19. Calculate the remainder when 146 is divided by r(-14).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(12)\/sqrt(4)) + 0)**2 + sqrt(972)*1*-6.\nAnswer: -108*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -17\/4, -0.5, -199?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-15))\/(30\/(-25))*836\/(-22)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29251\/4 + 7292. Let s(a) = -6*a + 6. Let o(w) = -5*w + 6. Let m(l) = -3*o(l) + 2*s(l). Calculate the common denominator of m(5) and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/72 and -23\/387804.\nAnswer: 2326824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20429 and 7?\nAnswer: 143003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24684962.\nAnswer: 2, 53, 232877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q - 6112 + 39*q + 6109.\nAnswer: 61*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655968996 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 0.07?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291147 is divided by 257.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -38*q - 1684. Calculate h(-43).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*r + 182*r = -6256 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.21 - -17. Let q = 0.05 + v. Let a = q - 0.04. Put a, -0.05, 0.4 in decreasing order.\nAnswer: 0.4, -0.05, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2786*s - 152 = 2748*s. Solve -6*h + s*h = -3*m - 25, -3*h - 5*m = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 2248420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 6\/5 (b) 0.09 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -118. Let o be ((-2)\/4)\/(3\/36). Let b = p + o. List the prime factors of b.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + j - 4. Let k be t(2). Let z be k\/4*2*2. Suppose 5*a - 96 = 2*g, z = -a - 5*g + 32. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1860, 9212, 29186, 68094, 132248, 227960?\nAnswer: 361542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 199. Give d(15).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -34. Let t = r - -34. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f. Calculate the remainder when (1\/2)\/((-10)\/(-60)) - -68 is divided by j(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1003300 to the nearest ten thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -273*c. Let h(l) = 6*l + 5*l - 8*l + l - 6*l. Determine r(h(m)).\nAnswer: 546*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) - sqrt(512)*2 - sqrt(512)) + sqrt(1568)*-3.\nAnswer: -116*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q - 20. Let w be j(6). Let y(s) = 4957*s + 30. Let l be y(w). Suppose 9*u - l = 5*u. What is u rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3687 + 320. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 295*f*t**2 - 8*f*t - 8143*f - 2*t wrt t?\nAnswer: 590*f*t - 8*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 342 and 0.07.\nAnswer: 342.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/6*12\/(-14). Let u(s) = 7*s + 7. What is the units digit of u(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/25)\/((-2)\/(-270)*-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-27) - 38\/(-9). Suppose -j = -x*t + 17, 4*t - 2*t + j - 7 = 0. Suppose 33 = -t*v + 249. Calculate the greatest common factor of 36 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)*x\/x**(1\/21)*(x**(2\/21))**(-18))**45 assuming x is positive.\nAnswer: x**(-645\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t**3\/9 - 3968*t**2\/9 + 152608*t\/9 - 92416\/9 = 0 for t.\nAnswer: 8\/13, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**7\/70 + z**6\/8 + 5*z**5\/12 + z**4\/24 - 7*z**2 - 2*z. Find the third derivative of j(w) wrt w.\nAnswer: -72*w + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5366 - 10731\/2. Which is bigger: -51\/62 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*g**2*j*q**3 - 117602*g*j + 3076*j*q**3 - 407*q**3 + 10*q**2 wrt g?\nAnswer: 24*g*j*q**3 - 117602*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from aalllahaaf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -17*q + 239. Let h = 39 + -19. What is the highest common factor of q and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3307629255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -247656.\nAnswer: 5\/247656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a43548 (base 11) to base 13.\nAnswer: -467a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 + 193. Find the common denominator of 5 + u\/(210\/(-279)) and -97\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyq when three letters picked without replacement from {y: 9, q: 11}.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*d + 583*d + 402*d + 396*d - 170*d to s + a*d and give a.\nAnswer: 979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - r = 1467, 2*l - r = -2*l + 1174. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:32 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -5 - 9*j + 9\/2*j**2 + 1\/4*j**4 - 7\/3*j**3. Calculate n(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -112*y**3 + y**2 - 2*y + 3. Let x(u) = -u**3 - u**2. Let g(w) = -f(w) - 6*x(w). Let d be g(-6). Let p = -46677 + d. Round p to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6188 and 134319822?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 33 = 1903. Let z = 259 + i. What is the highest common divisor of z and 442?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.992522g?\nAnswer: 5992.522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1123, -1127, -1133, -1141, -1151?\n\"Answer: -l**2 - l - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2597 + 4798. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9679*w + 782*w - 353*w - 1467*w + 4350*w.\nAnswer: 12991*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -26 - (1 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -5.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2336941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 28*q**2 + 32*q + 30. Determine r(29).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7*(-77)\/(-242).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - l + 2 + 0*l - 2*l.\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3938821728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*j + 8, 27 = 2*k + 4*j + 7. Suppose 9*f = k*f. Suppose f = h - 2*h + 39. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -706 - -1036. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**2 - 35*c + 17. Let d be g(-12). Suppose 0 = d*a + m - 421, 3*a = -2*a + m + 429. What are the prime factors of a?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -4, 12, 5 in descending order.\nAnswer: 12, 5, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2310 + -1627. Does 70 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68.36 + -0.64. Let r = -68.6 - i. What is the closest to -1\/3 in r, 1\/2, -3.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -12, 9, 52, 123, 228?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6530843225.\nAnswer: 5, 43, 467, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.95076s in minutes?\nAnswer: 1.615846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/4*6\/5. Suppose i = g - 2. What is the second derivative of d**g - 28 + 2*d + 28 - 8*d wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 801332 or -1?\nAnswer: 801332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q. Let l(f) = -54*f. Determine l(s(t)).\nAnswer: 432*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 14*a**2 - 13*a + 3. Let p be c(-13). Solve 0 = 4*v - 0*v - o + p, 1 = v - 2*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4141039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11620 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 14 = -k, 4*k + 4*n - 72 = 20. Suppose -b + 151 = -5*x, 2*b - 309 = -0*b + 3*x. What is the highest common factor of k and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -2\/17, 26, 10.83?\nAnswer: 10.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -9\/4*d**3 + d**4 - 9\/4*d**2 + 4*d + 3 = 0.\nAnswer: -1, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -162, 37073 in descending order.\nAnswer: 37073, 0, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2232477?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*j - 1, -3*j - 3*z + 2 + 1 = 0. Let v(r) = r**2 - 17*r**j + 109*r - 50*r + 1 + r**3 - 60*r. Calculate v(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(2\/9)*p))\/p)**(-3\/17)*(p**11\/p*p)\/(p*p*p*p\/(p*((p*p*p*p\/(p\/p**(1\/6)))\/p)\/p)*p) assuming p is positive.\nAnswer: p**(291\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/12 - 14\/(-6). Let f = 2614 - 2618. Sort 4, j, f, 15 in decreasing order.\nAnswer: 15, 4, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 5. Let i be 11 - (-2 - -2 - 3). Let h = i - 17. Let f be y(h). Solve f*k - 3 + 11 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -19\/40675, -2\/27 in decreasing order.\nAnswer: 0.4, -19\/40675, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44340064 is divided by 11085010?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 408*d - 6371. What is x(22)?\nAnswer: 2605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-160))\/(1\/455132). Let u = a + 17062. Let n = -50369\/42 - -3583\/3. Find the common denominator of n and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - 119 + 95*z**2 - 109 - 8*z + z**3.\nAnswer: z**3 + 95*z**2 - 4*z - 228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 36*a**5 - 96*a**4 + 33*a**3 + 33*a**2 - 6*a = 0.\nAnswer: -1\/2, 0, 1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4831*h. Let i(t) = 7*t**2 + t + 63. Calculate i(p(r)).\nAnswer: 163369927*r**2 + 4831*r + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 205448203 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: What is the remainder when 1101 is divided by 217?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6907\/7 + -985. Let k = 12\/8779 + -1071794\/553077. Let l = k + v. Which is the biggest value? (a) l (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 4*q - 7 = 2*u, u - q - 5 = q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1988\/1973 - -10374536\/325545. Let l = m + -154\/5. Is -2 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38 (b) 1 (c) 9 (d) -5 (e) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15 - 1620\/(-100) - 8\/10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 8*t + 7. Let s be v(8). Suppose -s*j + 126 = -4*j. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88253815?\nAnswer: 5, 13, 29, 46819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5 - 116*q**4 - 36*q**3 + 8660*q**2 - 13400*q - 60000 = 0 for q.\nAnswer: -25, -12, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l + o, -l + 2*l + 3*o = 0. Let m = -17 - -20. Solve 3*x + l = -m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 181 + 157 + 426*z - 348 in the form r + h*z and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1196, 2319, 3442?\nAnswer: 4565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, -9, -31, -73, -141, -241?\n\"Answer: -p**3 - p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/3, 1, -3\/2, 3, -1.24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, 0, 11897, 2, -1, 5 in increasing order.\nAnswer: -1, 0, 2, 3, 5, 12, 11897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 939428806 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-12))\/(10\/(-15)) - -7. Suppose -3*s - 3*d = -26058, d = 9*s - u*s - 8696. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 733 divided by -1034187\nAnswer: -733\/1034187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 8*o**2 - 7*o - 13. Let l be p(9). Let b(m) = 20*m**2 - 7*m + 9. Let u be b(l). Calculate the common denominator of 7\/5 and u\/102 + -6 + 3\/2.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by -62?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-16))\/(1\/2)*(-200)\/(-40).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -11*b**7\/6300 - b**6\/135 - 7*b**5\/900 + b**4\/90 - 43*b**3\/6 + 40*b. Let d(x) be the second derivative of f(x). Factor d(j).\nAnswer: -2*(j + 1)**2*(11*j - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*((-4)\/(-34) + (-224)\/9996). Factor -12\/7*w - 8\/7 - l*w**2.\nAnswer: -4*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:54 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 296 + -194. Suppose 138 = 12*d - 42. Calculate the remainder when h is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/2 + 83*v**4\/3 + 1718*v**3\/3 - 8337*v. Find the second derivative of q(x) wrt x.\nAnswer: 60*x + 664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 7*f**2 + 8*f + 11. What is the least common multiple of 11 and t(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3217445 and 7315.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 3*x + 13. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4355945 bigger than -4355945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 10*r**2 - 24*r**2 - r.\nAnswer: -34*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 338*j**3 + 7*j**2 + 14*j + 7. Let m(t) = -169*t**3 - 3*t**2 - 6*t - 3. Give -3*l(k) - 7*m(k).\nAnswer: 169*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*-5 - sqrt(68)*2*-3)\/((sqrt(324)\/sqrt(81))\/(sqrt(72)\/(-2*sqrt(8)))).\nAnswer: 27*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(605) + sqrt(605) + sqrt(605) + 1) - (-1 + sqrt(605) + 1) - -1*(0 + (sqrt(605)*1)**2)) + 2.\nAnswer: -44*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 12*q**2 + 99*q + 321. Let u(z) = -3*z**2 - 25*z - 80. Suppose -6*p + 4*p = 42. Let v(d) = p*u(d) - 5*i(d). Factor v(o).\nAnswer: 3*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 18 = 33. Put 1, i, 12 in increasing order.\nAnswer: i, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 9*o = 4*o - 71, -2*o + 4 = 0. What is the greatest common divisor of n and 1431?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - w - 3, 656 = -2*v - 4*w. Let m = v + 368. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 440129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3*g = 7, -4*h - 122 = 157*g - 51*g + 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/((-768)\/(-8))*4\/(-3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(68) + 0 + sqrt(68) + (5 + 1 + sqrt(68) - sqrt(68)) + -2 + ((sqrt(68) + -2*sqrt(68))*-3 - sqrt(68)*-3*-5))**2.\nAnswer: -41184 + 1920*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1445*f - 8679. Give h(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 39?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83968 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*z = -117*z + 1464164 - 338884. Calculate the remainder when z is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 245044.9 grams?\nAnswer: 0.2450449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 479972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6*z = -3*w + 1, 0 = -5*w - 5. What is the third derivative of -927*c**3 - 63*c**5 - 34*c**z + 8*c**2 + 927*c**3 wrt c?\nAnswer: -3780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9.3 (b) -0.105 (c) -4 (d) 5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1774282?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/36 and -1\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*d + 27 = 0, 5*d - 33 - 2 = 5*c. Let l = 8 + c. Solve -5 + l = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 - 32 + 10*r + 3*r - 2*r + 2*r - 2*r + 2*r + 2*r - r + 4 - 4 + (1 - r - 1)*(1 + 4 - 4) + 2*r - 5*r + 4*r + 22*r - 5*r + 2*r.\nAnswer: 33*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/8))**(25\/4)\/((d\/(d\/(d\/d**(5\/2))))\/d**(-1\/2)) assuming d is positive.\nAnswer: d**(107\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 20. Let j(q) = q**3 + w*q**2 + 2*q + q**3 + 23 - q**3 - 20. Let o be j(0). Put -3, 1, o in increasing order.\nAnswer: -3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4355\/267 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**(2\/15))\/s*(s\/s**(-6\/5))\/s)**(3\/5) assuming s is positive.\nAnswer: s**(31\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.790257 decades in centuries?\nAnswer: 0.5790257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h - 3*h - 336193*h**3 + 336195*h**3 - 13 - 19*h**2 + 2*h as j + v*h + k*h**3 + x*h**2 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 224519872 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/19)*x)\/x)**(8\/5)\/(x**5\/x**(5\/4)) assuming x is positive.\nAnswer: x**(-1361\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sszzssszssszszss. What is prob of picking 2 z?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from agqklke?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.67478787 - -0.14?\nAnswer: -12.53478787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5065 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 l = -1.5 - -2. Let o = -2.8 + 3.23. Let q = -5.43 + o. What is the closest to -0.1 in l, q, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.28 and -4?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, p: 2, l: 7, m: 1, t: 1}. What is prob of sequence pt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5012857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9331 - -18959. Is 205 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1045 by -243642.\nAnswer: 1045\/243642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.87565 to 2 decimal places.\nAnswer: 1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13387*g + 13392*g = 80 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -22\/5 (b) 10\/7 (c) -1465 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 133, 159, 185, 211?\n\"Answer: 26*o + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2. Suppose w - 4*v + 16 = -3*w, 0 = -2*w - 4*v + 10. Calculate n(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*f + 29 - 25, -3*f = -r + 16. Calculate the lowest common multiple of 606 and r.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 15*a - 6*a - 1695. What is the remainder when a is divided by 157?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*r + 2 + (3 + 0 - 1)*(4*r + 0*r - 2*r) + 903 - 132*r - 451 - 450 + (1 + 2 - 4)*(0*r + 5*r - 3*r).\nAnswer: -132*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6 - 4 + 6 - g. Is 4 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*x = -40, -2*p = -3*p + 3*x - 9. Let g(q) = -5*q - 9. Is g(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*a**2 + 1548*a**2 + 1102*a**2)*(2*a**2 - 3*a**2 - 3*a**2).\nAnswer: -10956*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m - 14. Let p be n(-2). What is the third derivative of -146 + 144 + 15*v**p + 7*v**2 - 46*v**3 wrt v?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (6*((sqrt(200)*1 - sqrt(200)) + -3 - sqrt(200))*1 - -4*((1 + sqrt(200))*1 + 1)))**2.\nAnswer: 200*sqrt(2) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 16 = -12*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133 + (7 - (-12)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-5))\/((-105)\/175). What is the nearest to -1\/2 in v, 0.1, -12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -95 - (-2)\/(-3)*-3. List the prime factors of 2\/(r\/33 - -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126308.\nAnswer: 2, 7, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33973270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2. Let d(t) = t**2. Let a(h) = -c(h) + d(h). Let y(m) = 10*m**2 + 2*m - 2. Let f(w) = w**2 + w - 1. Let g(v) = -2*f(v) + y(v). Determine g(a(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658313915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 76\/(-16) - (1\/(-5))\/((-8)\/(-10)). Let l be 12\/9*(-6)\/4. Let m = l + -2. Is m > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*q + 7063 + 6192 - 2840 - 72*q + 2*q**2 with respect to q.\nAnswer: 4*q - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -19 + 12*m + 15*m - 26*m. Let r be b(8). Is r >= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 43963890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 1 = -2*w. Let d be (-1 + -3)\/(w\/(-48)). Suppose 0*q = -4*q - d. Let k(p) = -p + 3. Give k(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -2*v**3\/3 + v**2\/2 + 368*v. Suppose n + 0*n = 2. Determine l(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1387.17 + -1388. Let p = 99 + -99.53. Let b = p - j. Sort 4, b, 1 in ascending order.\nAnswer: b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1841*o**5*y - o**5 - 64*o*y + o + 6*y wrt o.\nAnswer: -36820*o**3*y - 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*(-3 + sqrt(200))*-5 - (2*sqrt(200) + 2)*1) + 4)**2.\nAnswer: -12220*sqrt(2) + 36009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26243?\nAnswer: 7, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (708\/(-826))\/(186\/(-496))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 34 = -141. What is the second derivative of -6487*a**2 - 18*a + 6487*a**2 - d*a**4 wrt a?\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*6\/(-1995)*(-10)\/(-4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 391*y - 30355 + 30355 as t + h*y and give h.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 - 156. Let v = -39 - x. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 286, 289, 292, 295?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -8, -1, 58, 0 in decreasing order.\nAnswer: 58, 5, 0, -1, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27331734 to the nearest integer?\nAnswer: 5228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 50. What is the remainder when 35 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6344)\/7 + 2\/7. Is (0 - g) + 2 + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-85405)\/(-12198) + -7)\/((-15)\/90)\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000076084986 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 56 + 1 + -469 + 452?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 1\/(1\/(-1)). Suppose 20*k + 90 = 21*k. Suppose -z*x - k = -8*x. What is x rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.2 (c) 2\/9 (d) 1.2 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 1 = -3*b, -348*a + 352*a = 4*b + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.917698 to 2 decimal places.\nAnswer: 4.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26373 + 26372.9999945865. What is s rounded to 7 decimal places?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 96*f - 92*f + 1 to the form v + n*f and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2034 - 863. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63\/5 or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 6 - 1 - q + (5 - 4 + 3)*(q + q + q) to the form c + u*q and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - g**2 - 2*g + 41. Suppose 2*l - 16 - 26 = 0. Calculate the remainder when h(0) is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*m + 278 = 0, 2*l + 4*m + 722 = 186. Round l to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(12)\/sqrt(196)) - (sqrt(68)\/sqrt(400))**2*-1.\nAnswer: 17\/100 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 0*t**2 - t - 9 + t**2 + 12 - 6. What is the remainder when h(-7) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976843111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from {p: 4, z: 5, k: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135261 divided by -1197.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) 9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0051216652 to 5 dps.\nAnswer: -0.00512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*g + 25, 0*g = -5*t + g + 20. Let z = -412 - -430. Solve -t*p + z = -u, 4*p - 31 + 7 = -4*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 641 + 145. Let u = -785.9998752 + v. Round u to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16*8 - ((-3)\/(-1))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3446243 (base 10) to base 9.\nAnswer: -6432318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0, 5, -0.05415, -0.03, 88 in decreasing order.\nAnswer: 88, 5, 0.5, 0, -0.03, -0.05415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (342\/(-152))\/(2\/(-16)). Suppose -5*t + 28 - i = 0. Solve -14 = t*l - 4*o, -2*o = -4*l - 3*o - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -140395116?\nAnswer: 140395115.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11072 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 24*d + 2832 = -28*d, 2*d = -3*p + 2814. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m + 81. Let o be x(8). Solve -3*c - o = -2*b, 14 - 4 = 5*c + 5*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 371634128 + 60.\nAnswer: 371634188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, 25.95, 18, 3, 5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 8*z - 18 = 3*c, -2*c = 2*z - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4285, 3912, 3287, 2410, 1281, -100?\n\"Answer: -126*i**2 + 5*i + 4406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1. Let y(h) = h + 3. Let z(v) = -4*j(v) - y(v). Let m be z(-4). Let d = m + 68. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.3725 less than or equal to -16.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 6*y - 4. Let j be h(3). Let s be 2\/(-4) + (860\/(-16))\/j. Is s != -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z**2 + z - 2. Let o be (1*(2 + -1))\/1. Let k be c(o). Suppose k*i = 7*i + 90. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11080, 22165, 33250?\nAnswer: 44335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5086 - -5918671560\nAnswer: 5918676646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 682 in 0.53, 0.1, 3\/7?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34, 124, 322, 682, 1258, 2104, 3274, 4822?\n\"Answer: 9*o**3 + 27*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15133 at least as big as 75664\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*s**3 + 114*s**3 - 76*s**3 - 115*s**2.\nAnswer: -s**3 - 115*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2539991.\nAnswer: 41, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwhwhhowkhhwxhokxwo. What is prob of picking 2 w?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -7*i + 1157. Suppose -i + 2 = -w. Calculate the remainder when w is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 14*f**2 - 1072*f + 20245. What is s(43)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 1 = 2*l - 3*l, 4*l + 46 = -2*q. Let p = 0 + 9. Let y = p + l. Which is smaller: y or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3242*y + 12996*y - 3247*y - 3254*y - 3258*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2328 + 4611. Let j be (-3 - -2)*3 - 1361. Let q = j + b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 15) + 4 - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 12*h**3 + 7*h**2 - 7. Suppose 3*v - 10 - 11 = 0. Let i(t) be the first derivative of -11*t**4\/4 - 2*t**3 + 6*t + 1032. Give v*i(n) + 6*y(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8 - 2893*y - 2887*y + 5765*y - y**2. Determine z(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53722673.\nAnswer: 53722673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -36570 greater than or equal to -36568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 + 0 - (0 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 5*u + b, -4*b = -3*b + 2. Is u\/7 + 2\/7 + 2049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -256*o**5 - 42479808*o**4 - 201774128*o**3 - 135400708*o**2 - 32522688*o - 2654912 = 0.\nAnswer: -165932, -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 431*i*s**2*y**2 - 48*i*s*y - 34*i*y**2 - 16*s**2*y - 2*s*y**2 wrt s.\nAnswer: 862*i*y**2 - 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1289 - -7697\/6. Calculate the common denominator of f and 15\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 15) to base 2.\nAnswer: 11110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-3)*657\/(-9198).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66150 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 27150a2?\nAnswer: -27150a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 5*c**2 - c + 3. Let i(q) = -q**3 + 6*q**2 + q - 3. What is 5*i(d) + 6*n(d)?\nAnswer: d**3 - d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - -7.2. Let z = d - 12.1. Sort -0.4, z, -33.\nAnswer: -33, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1288654.5 and -0.3.\nAnswer: -386596.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -15, 1, 5, -3 in decreasing order.\nAnswer: 14, 5, 1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6)*-3 + 2. Suppose -c - x = -5, 7 + 1 = b*c - 4*x. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32900.4 - -1.3279\nAnswer: -32899.0721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 - 137 = -170*h + 3*r + 7*r + 1574, 0 = h + 5*r - 21 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from kkykmkkyy.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {k: 1, n: 1, p: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**4*r - 2*q**2*r**2 - 48*q**2*r - 66*q*r**2 + q*r - 2*q wrt q?\nAnswer: 48*q**2*r - 4*r**2 - 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, a: 3, k: 2, j: 3, r: 3, z: 1}. Give prob of picking 1 r and 1 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + j = -32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -82924.6 rounded to the nearest 100?\nAnswer: -82900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894 is divided by 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 9*m + 2. Let l be s(-9). Let p be 0*((-5)\/l)\/5. Suppose w = -p*w + 72. What is the highest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24618 is divided by 12277?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*2*2\/(-4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**4\/5 - 231483*o**3 + 111595340016*o**2\/5 + 7482084319296*o\/5 = 0.\nAnswer: -67, 0, 192936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*o + 21. Suppose 4*x + o = 2*h, -x = 1 - 2. Is (-3 + h)*3*43 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, y: 1, b: 2, e: 1, i: 1, m: 2}. What is prob of sequence yq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 4.03. Let y = d + 3.8. What is the nearest to y in 3\/7, 0.5, 2\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314478611, 314478612, 314478613?\nAnswer: 314478614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2084?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6763445851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.914 - 7. What is n rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c**2 - 5534499*c + 3689670.\nAnswer: -3*(c + 614945)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 2:39 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - ((-906)\/14 - 2\/7) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 1665*i + 3247*i + 4*i**2 - 1340*i + 47.\nAnswer: 4*i**2 + 242*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(792)*-3 - (sqrt(132)\/sqrt(6)*3 + sqrt(22)))\/(2*((sqrt(72) - (sqrt(72) - sqrt(72)*4*3)) + sqrt(72))))**2.\nAnswer: 1331\/6084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -3*z - 151. Let s(d) = d. Determine -2*s(l) - y(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*v - 3291 = 258*v - 547 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 3*v + 0*v + (-2*v + v + 3*v)*(3 - 2 - 8).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12.7907 times -46.5\nAnswer: 594.76755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22911*d - 102071*d + 66890*d - 172796*d.\nAnswer: -230888*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*v**4 - 482*v**2 + 138*v**4 - 288*v**4 + (0 + 2*v**2 + 0)*(-2 + 2 + v**2) to the form s*v**2 + i*v**3 + x + w*v + c*v**4 and give s.\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -29. Suppose -18*j = -i*j - 18. Let h(u) = -u + j*u + u - u. Let m(g) = -9*g**2 + 1. Give m(h(z)).\nAnswer: -36*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 10 - 1 + 6*o**2 - 3 - 4 to q*o**2 + s*o + l and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -52. What is the nearest to -0.3 in v, 5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -258 + 177. Let z = 24 + w. Let v = z + 57. Which is the closest to v? (a) 0.8 (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5871, -11807, -17801, -23883, -30083, -36431?\n\"Answer: -5*w**3 + w**2 - 5904*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34*20\/(-8)*6\/10. What is the common denominator of m\/(-15) + -3 + (-2958)\/120 and 35\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -1\/8, 528, -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -2\/11, -3.675?\nAnswer: -3.675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4480.342 > 0.82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2 - 9*n - 7. Let z(w) = 4*w**2 - 4*w - 3. What is 2*s(a) - 5*z(a)?\nAnswer: -6*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13313488 a multiple of 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2*d - 3*d)*(d - d + d) + (-d**2 + 3*d**2 + 0*d**2)*(-3 + 5 - 1).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56.999849 - -57. Round u to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27026, -27009, -26994, -26981, -26970, -26961, -26954?\nAnswer: -26949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*t - 9, -3*t - 2*t + 15 = -2*z. Suppose b + 6 = w, z = -w + 5*b - 2 + 12. Let p be (-84)\/30 - 1\/w. Put p, 3, 4 in ascending order.\nAnswer: p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbvm when four letters picked without replacement from vmmvvmvvmmvkvvbmbvvm.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2472*o**2 - o - 2969?\nAnswer: 4944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q*q**15))\/q)**(20\/3)*(q**28\/q*q)\/(q*q**(-4\/13)*q*q) assuming q is positive.\nAnswer: q**(-971\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v. Let b(g) = -13*g**3 - g**2 + g - 7. Let u(m) = b(m) + d(m). Find the first derivative of u(x) wrt x.\nAnswer: -39*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnnngnlgxnnggnnlvgnl. What is prob of sequence nlgx?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*d - 3*d + 4 = 0, -a = -2*d. Suppose 4*s - a*s = 26. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70873697 take away 11?\nAnswer: -70873708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j. Suppose 65 = -a + 75. Let s(p) = 24*p + 7 + 5 - a. Determine s(m(d)).\nAnswer: -48*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1674708?\nAnswer: 2, 3, 7, 19937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -365.13175 times -2?\nAnswer: 730.2635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 + 3*q - 133.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p**3 - p**2 + p + 2. Let u be v(-1). Put 3, -3, -2, u in descending order.\nAnswer: u, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -29684*y + 9962*y + 9746*y + 9965*y. Let g(l) = -5 + 5 - 22*l. Give v(g(k)).\nAnswer: 242*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*h**4 - 604144*h**2 - 61737957*h wrt h?\nAnswer: 108*h**2 - 1208288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 8:51 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 5. Let q be z(8). Let d(t) = 99*t**2 - 2*t + 3. Let b be d(2). Suppose 5*c = -2*p + b, 395 = 5*c + p + q*p. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*c - 310, 0*c + 194 = 3*c - o. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 - 6\/60*10 and 75.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 365175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-33))\/((-60)\/630*35).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(98))*2 + sqrt(98))**2 + -3 + sqrt(98) + 0.\nAnswer: 91*sqrt(2) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 - -747.\nAnswer: 746.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2386*a**2 - 35795*a - 62. Determine u(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**5\/4 - 65*j**4\/8 + 35*j**3\/8 + 65*j**2\/2 - 11*j\/2 = 0.\nAnswer: -11, -2, 0, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 12*k**2 + 7231*k - 17601. Determine a(-605).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 12:40 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-319964)\/(-5853))\/(-8*(-6)\/36)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 1 - 3. Let q(n) = 2*n**2 - 2. Let y(d) = 2*d**2 - d - 1. Give g*q(w) - 3*y(w).\nAnswer: -2*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3394 - 5?\nAnswer: -3399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z. Let y be c(-5). Let w be 20\/y*(-14)\/4. Is (-1)\/w*(-148)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 3)*(-6*b + 3*b + 10*b) - 2*b + 7*b - 7*b + 0*b + 4*b - 5*b to the form o + i*b and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12708 + 3*a**2 - 26*a + 6355 + 26*a + 6353.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 5*q**2 - 5*q - 4. Give x(4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 950*b**3 + 46065*b**2 - 89300*b + 44180.\nAnswer: 5*(b - 94)**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from abbmbmmaamammbubmm.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/(-42)*(-5 - 533\/(-52))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 2*i + 27, -19 = 2*c - i + 6 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**3 + p**2 + 2*p - 7. Let t be x(-3). Let l = 142 + t. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 5*n. Let x(m) = -4*m**n + 2*m**3 + m**3. Determine x(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, 21, 44?\n\"Answer: 23*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from eiiieeeeeeeeeiie.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 19*g**2 - g**2 - 16*g**2. Let m(l) be the first derivative of 3*l**2\/2 - 5. Determine j(m(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 14*w**2 + w + 17. Let q be d(-14). Suppose -4 = -q*v + 7*v. Let x be 2 + -46*8\/180. Is x less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (34 + -37)*(-190)\/(-3). Let l = 198 + v. Is 58\/7 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27199506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*u + 39*u**2 + 37*u**2 + 34*u**2 - 111*u**2.\nAnswer: -u**2 + 50*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 334, 2537, 8520, 20173, 39386, 68049, 108052, 161285?\n\"Answer: 315*i**3 - 2*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*x, -x + 20 = 4*h - 4*x. What is the remainder when 132 is divided by h\/10 + 418\/10 - -3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 53. Sort 0.2, l, 91 in decreasing order.\nAnswer: 91, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 11) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16154278 is divided by 208.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1.3, -146775 in descending order.\nAnswer: 5, 1.3, -146775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**3*x**3 - 4*u**3*x**2 + 355*u**2*x**3 - 566*u**2*x**2 wrt x.\nAnswer: -12*u**3 + 2130*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:53 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 2*d - 1. Suppose 0 = 7*z - z - 36. Let w be 1 + 11 + (10 - z). Is j(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - u + u**3 + (-2*u**3 + 2*u**3 + 4*u**3)*(4 - 2 + 1) - 2*u**2 + u**3 + 2*u**2 to p*u + j*u**3 + r + x*u**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 = 5*n - 0, -5*k = 5*n. Let d be 4*2*10\/(-8). Let f = d + 21. Calculate the highest common divisor of f and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1497 - 151. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 6:27 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2)**2 + -4 - (-6*(-5 + sqrt(48) - sqrt(3)))**2.\nAnswer: -1444 + 1080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 + 90. Let l be 1 + -1 + g\/(-1). Suppose -4*o + 72 = -l. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2. Let z(s) = -1. Let y(b) = 7*b**2 - 77. Let o(r) = -2*y(r) + 154*z(r). Determine i(o(u)).\nAnswer: 392*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -918*u**2 + 5500*u\/3 + 16\/3 = 0. Calculate u.\nAnswer: -4\/1377, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 2 = m - 29, -3 = -h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 73606774, 147213545, 220820316?\n\"Answer: 73606771*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*s + y - 67 = -32*s, 4*y + 124 = -8*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 2*t + 6*t)*(-10*t - 4*t + 3*t).\nAnswer: -44*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 112\/25 in decreasing order.\nAnswer: 7, 112\/25, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/5, 356, 0, 2.7, -1, 4 in increasing order.\nAnswer: -1, 0, 2\/5, 2, 2.7, 4, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 - 3. Let s be (-1 + 3)\/((-21)\/(-42)). Let i(w) = -1. Determine s*i(v) - c(v).\nAnswer: -2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 8:29 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/219801 and 4\/5361?\nAnswer: 219801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d46b (base 14) in base 16?\nAnswer: -1bae7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 21*n**2 - 5. Suppose -4*l + 23*l = 399. Calculate r(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6922141?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 344, 735, 1126?\n\"Answer: 391*m - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*i - 75*i = 159 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 1)**2 + 3 - (sqrt(2401)*-1 - sqrt(2401))\/sqrt(7).\nAnswer: 26*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 76*i**2 + 9*i - 698. Calculate t(76).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -79, -68, -43, 2, 73?\n\"Answer: q**3 + q**2 + q - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from ltlmtmttmtmmfzttk?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59025 is divided by 1135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 54, 27, -42, -165?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/35 and 43\/191877.\nAnswer: 959385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 11*u + 25. Calculate x(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19700000 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 8*j**2 - 21*j - 30. Let t be b(-5). Solve 128*s - 130*s - 10 = t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 6:35 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 471668987*k**3*q**3 - 668*k**3*q**2 + 3*k**3*q + 23*k**3 - 15*k**2 + 5*k + 5*q**2 wrt q?\nAnswer: 2830013922*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/225*-12)\/2*5\/(-42)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46971 is divided by 1119?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37342 by 37342.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 390*j - 19477. What is v(47)?\nAnswer: -1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = -5*g. Suppose 0 = -3*u + 9. Suppose -4*n - 2*j + j = -18, 14 = 4*n + u*j. What is the greatest common divisor of g and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3.12. Let d = 4.88 + c. Sort d, -1\/5, -1\/4 in descending order.\nAnswer: d, -1\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2279057 + 4210937. Let x = -702850 + s. Suppose -3*u + 8729030 = x. Round u to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-395)\/15*(-24)\/28)\/((-62)\/217).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11634160 (base 7) in base 10?\nAnswer: -1050700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -282526 times -4\nAnswer: 1130104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*m - 124 + 22 = 141. Let w(f) = 1. Let i(t) = -4*t + 6. Determine m*w(p) + i(p).\nAnswer: -4*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2757\/830 + -35\/83. Find the common denominator of f and 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -319, -765, -1299, -1921, -2631, -3429, -4315?\n\"Answer: -44*b**2 - 314*b + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 29) + 13 - 21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -9*u - 5*r - 25, -3*u - 3*r = 15. Sort u, -3, 4.\nAnswer: -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-6)\/12*-288. Suppose -4*u - 288 + b = 0. Solve -2*o + 12 = -5*j + 2*j, -2*j + o - 8 = u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985813\/9 at least 220647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times 0.027?\nAnswer: 0.0405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a second?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 138.41.\nAnswer: 138.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + -3*sqrt(612) + -1 + (sqrt(612) + -2 + sqrt(612))*-6)**2.\nAnswer: -900*sqrt(17) + 137725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12212799466041\/898227820 + -1\/44911391. Let g = y + -13602. Calculate the common denominator of 67\/48 and g.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19254 and 0.6.\nAnswer: 11552.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 c when three letters picked without replacement from ccccccccccycccycccc?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**3 + 2690*u**2\/3 - 9480*u - 6720 = 0. What is u?\nAnswer: -2\/3, 12, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2773 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/3))**(2\/17)\/((n\/(n\/((n*(((n\/(n\/n**4*n))\/n)\/n)\/n)\/n*n*n)*n))\/n**14))**32 assuming n is positive.\nAnswer: n**(21280\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4573079?\nAnswer: 7, 131, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -4*v + 4, s + 18 - 10 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 9116078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10455 - 10558. Is -86 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23512.2 + 23511. Sort 1\/2, s, 0.031.\nAnswer: s, 0.031, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/55943 and 17\/11137.\nAnswer: 14489237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*v - 1245, -v + 288 + 982 = 5*j. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 0.1 (b) 2\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181834, 363667, 545502, 727339, 909178?\nAnswer: 1091019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/25 and -40\/11.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 132816.3126021 and 0.066?\nAnswer: 132816.2466021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125620 = -5*x + z, -50271 = -2*x - 0*x + 5*z. Suppose -4*j - x + 113123 = 0. What is j rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26796 = -730*h - 312*h + 85*h for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*h + l = -167*h + 1, 3*h = -4*l + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1643846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2333 - -2338. Let n be (-3 - -1) + (-17)\/(-7). Which is the nearest to -0.1? (a) n (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6407? (a) 1\/27 (b) -5 (c) 3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -20. Let a be (-231)\/(-44) - 3\/o. Solve 5*d - 4 = 3*c, a*d = d - 3*c + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*a + 19*a**3 - 31*a**3 + 10*a**3.\nAnswer: -2*a**3 + 50*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(s + 1 - 1) + 0*s - 3*s + s - 3719 + 140*s + 3719.\nAnswer: 137*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1)*(0 + 3 + -12). Solve 0 = 7*x - f - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10565 - 10563. Let z(o) be the second derivative of -8\/21*o**3 - 1\/42*o**4 - 16\/7*o**w - 20*o + 0. What is y in z(y) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (-39)\/(-9))*30\/(-20). Let l be 6\/w - (-2070)\/(-1980). Which is the second smallest value? (a) l (b) 23 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - p**4 + 0 + (30 + 4*p**2 - 30)*(-68*p**2 + 66*p**2 - 225*p**2) to the form y*p**3 + b*p**4 + r + v*p + t*p**2 and give b.\nAnswer: -909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003535903 to six decimal places.\nAnswer: -0.000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/38994807 or 0?\nAnswer: 2\/38994807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 1\/6*k**3 + 1\/48*k**4 + 0 + 0*k - 6*k**2 - 1\/120*k**5. Factor h(l).\nAnswer: -(l - 2)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-20)*-5)\/((-2)\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -32, -4 in decreasing order.\nAnswer: -2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170086 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1 - -7) - (32 - 22) - -27.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:45 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, u: 9}. What is prob of picking 2 u?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 25585136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-830790)\/32130 + (-78)\/7.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 8*x - 5. Suppose -5*n = 4*z - 20, -5*z + 25 = -0*n + 3*n. Suppose -4*y + n*y = 16, 3*y = a - 5. What is u(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8973746 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023*w**2 - 1019*w**2 - 20 - 9*w - 7*w = 0 for w.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*w = -w. Let z = -71.4 - -71. Which is the nearest to 0.2? (a) z (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-1)\/6)*-14. Let l(z) = -2*z + 12. Let o be l(-8). Suppose 3*c = -y - 4*y - o, 3*c = -y - 8. Which is smaller: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304405, -608917, -913431, -1217947, -1522465?\nAnswer: -1826985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3, 10, 27, 48?\n\"Answer: 2*s**2 + 7*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823*b + 59939 - 6444 = 0 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7 - 9 = 0. Suppose x + 4 + 11 = -3*t, 0 = v*x - 5*t - 25. Solve x*j + 3*j = 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 37*s**2 + 2*s - 77. Let x be a(37). Let z(j) = 7*j - 3. Let u(f) = 3*f - 1. Let k(c) = x*u(c) + z(c). Let d(o) = -22*o. Determine d(k(g)).\nAnswer: 44*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -33, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 2978a3?\nAnswer: -2978a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in minutes?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2654188898?\nAnswer: 2, 101, 13139549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 21. Suppose 5*o - 3*o + 2 = 0, g + 9 = -o. What are the prime factors of h(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from qpplqpepqqeeqv.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h + 20*h + 37*h = 187408. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848 = -42*g + 1112 + 980 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z - 7. Let k be i(7). Suppose -4*m + u = -731, k*m + 4*u = 3*m + 716. Let p = 256 - m. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 13 + (-680)\/(-51)*(6 - 3).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 3*t**2 - t**2)*(-3 - 1 + 3)*(3*t**2 + t**3 - 3*t**2).\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*2\/(-2)*1\/(-2). Let y be (h + (-39)\/9)\/(4\/(-18)). Suppose 2*d + 2 + 4 = 3*r, -5*d = 2*r + y. Solve -3*j = 15 - r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m + 5*m**2 - 36*m**3 - 2*m + 39*m**3 + 4*m in the form o + w*m**2 + u*m + f*m**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3182 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:18 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-10))\/((-136)\/(-170)))\/(1744\/(-218))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3503 - 1914 - 1594*o - 1589.\nAnswer: -1594*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -13751?\nAnswer: -13752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 0*t**4 + 8 + 0*t**5 + 13*t + 0*t**3 - 1\/2*t**2 + 28\/3*t**6. What is the second derivative of b(v) wrt v?\nAnswer: 1120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2600778 is divided by 5286.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 9990856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16704 = -626*m + 620*m. Is m a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 3, -54, 4\/5 in ascending order.\nAnswer: -54, 1\/7, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696887.\nAnswer: 696887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 210*j - 209*j. Suppose 0 = 5*w + j*w - 33232. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/24 and -7\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1984675 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -120?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12101200102122 (base 3) to base 9.\nAnswer: -5350378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*n = -1976 - 160 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362572 divided by 116?\nAnswer: 20367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 8, -3, -2\/9, 3 in decreasing order.\nAnswer: 8, 3, 2\/5, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.62*1455.\nAnswer: -5267.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 70, 76, 82?\n\"Answer: 6*w + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -2*y + 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 9*s**2 + s - 19. Determine q(-9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 - 63\/84.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 263 + -156. What are the prime factors of k?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1219053563?\nAnswer: 7, 13, 479, 27967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(12)*-2)\/sqrt(6) - (3 + -1*sqrt(4)\/sqrt(2)).\nAnswer: -3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 22 + 40 = 4*v, 0 = 4*g + 4. Sort -1, v, 3, -4 in descending order.\nAnswer: v, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103043\/280 - -1838\/5. Find the common denominator of -3\/16 and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7971 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3 + 5*t**2 - 33*t + 27 = 0. What is t?\nAnswer: -9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 + 4*t**2 - t - 6. Let g(v) be the first derivative of -9*v**4\/4 - 4*v**3 + 2*v**2 + 17*v - 4. Let h(z) = 4*g(z) + 11*o(z). Factor h(b).\nAnswer: -(b - 1)*(b + 2)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.46 + 4.9. Let a = 0.36 + v. Let d = -8.6 - a. Round d to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 1:11 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5707 - -5807. What is the remainder when m is divided by 60?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 118627 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (80354262\/(-25))\/(1338\/84120). Let r = u - -721066707355843287\/3568316660. Let j = r - -2\/42109. Calculate the common denominator of 97\/18 and j.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d + 32. Let i be w(-8). Let c be ((-63)\/(42\/(-6)))\/(i + 1). What is the second derivative of -4 - 77*a**5 + 50*a**5 + c*a + 3 wrt a?\nAnswer: -540*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i = 5*i + 190. Suppose 2 = r, -2*k - i = -4*r - 162. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*a = 4*a, -2*o - 4 = -o + 2*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {e: 2, z: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2091546.\nAnswer: 2, 3, 131, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**3 + 4*j**3 - 2*j**3 + 3*j + 2*j**2 + 2*j**3 to a + f*j + x*j**3 + r*j**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.4 (b) 1\/11 (c) 1 (d) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80.5, -9\/2, -3\/2 in decreasing order.\nAnswer: 80.5, -3\/2, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/6)\/((-65)\/(-30) - 3). Solve -5*k + 0*l = g*l + 23, -2*l + 7 = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 - ((9 - -4) + 8 + -7 + -21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 - -6 - 1) + -45 + 174 + 4?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378000614456*v**2 + 378000614456*v**2 - 6*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwkltpwkl. Give prob of picking 1 t, 1 p, and 1 u.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2121*h**2 + 4258*h**2 - 2128*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 + 197*a + 5*a**4 - 4*a**4 - 194*a + a**2 in the form b*a**3 + t + d*a + c*a**4 + m*a**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 10. Let m = -8 + -1. Let h be l(m). Let t(j) = 36*j**2 - 2*j. What is the tens digit of t(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 40*x + 124. Give c(-6).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105713894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 7*o**2 - 3*o + 5. What is the tens digit of m(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(275))**2.\nAnswer: -6600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -32*s**2 + 60*s - 77. Let c(f) = -5*f**2 + 10*f - 13. Let r(x) = 2*b(x) - 13*c(x). Determine r(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + o + 4. Let t be v(7). Let m be (-2)\/4 - (-893)\/t. Let d be (-2)\/8 + (-6)\/m. Solve -5*w = -q - 18, -3*q - 6 = -3*w - d for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/15163118 and 57\/34928?\nAnswer: 121304944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7180 and 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -274028 or -273363?\nAnswer: -274028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*h**4 - 5 - 5 - h**4 - 4*h**3 - 7 wrt h?\nAnswer: -4*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473412, 471251, 469090, 466929, 464768?\nAnswer: 462607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 359.375 centuries?\nAnswer: 3593.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19137 is divided by 1859.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 13*k**5\/60 + 7*k**3\/6 - k**2. Differentiate n(f) wrt f.\nAnswer: 26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 31 = 5*t. What is the lowest common multiple of 8 - -1 - (-21)\/(t + -1) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 3 (c) -5 (d) 6 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 274 - 273. Let b(k) = -17*k**3 - k**2 + k. Calculate b(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -2*c**2 - 22*c - 48. Calculate the least common multiple of -1*(-19 + (-3 - -2)) and a(-14).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (5 + 15 + 11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - h + 1)*(23*h**3 - 6*h**3 - 15*h**3) + h**4 + 0*h**4 - 3*h**4 to the form a*h**2 + q*h + r*h**4 + f + y*h**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21 + 2092474.\nAnswer: 2092474.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 3*j - 5, 0 = -5*j - 9*h + 13*h + 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -4*p + 131. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -9, -6, -1, -3.\nAnswer: -9, -6, -5, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-465)\/(-12))\/5*4. Let k = v - 17. What is the lowest common multiple of k and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -5*f**4\/12 + 2*f**2 + f. Let o(i) be the third derivative of i**5\/60 + 2239*i**2 + 2*i + 1. What is o(y(x))?\nAnswer: 25*x**4 - 40*x**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**6\/120 + u**5\/12 + u**4\/12 - u**3\/3 - 3*u**2. Let g be k(-4). Solve 0 = d + d + g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-6)*10\/9. Suppose x*s - 562 = 378. Calculate the remainder when s is divided by 41.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -1.82336?\nAnswer: -1.92336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/9 - 808*k\/9 + 9062 = 0. Calculate k.\nAnswer: 197, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*r**3 - 127*r**3 + 2*r + 3*r**4 - 6*r**4 + r as v*r**2 + q + d*r + c*r**4 + m*r**3 and give m.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -7. Suppose 0 = -2*q - 0*r + r - 11, -5 = -p*r. Let z = -165 - -1816\/11. Sort z, -3, q.\nAnswer: q, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-24)*-3)\/(2 - (6 - 3)). What is the third smallest value in -0.02, 0.2, 6\/67, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16986920 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 609 + -547. Calculate the highest common factor of 186 and q.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/21)\/z**(2\/7)*(z*z\/(z**3\/z)*z)\/(((z\/z**(-1\/3))\/z)\/z*z) assuming z is positive.\nAnswer: z**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92587?\nAnswer: 11, 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1041\/23 - 22683\/460. Find the common denominator of (2 + 267\/6)\/(-4) and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 15*l - 17. Let o be k(16). Let w(u) = 117*u. Let m be w(o). Let b = m - -226. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 5*d - 383645 + 383717, 5*b - 4 = -2*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1698\/10188 + (-26)\/12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 981.353ml?\nAnswer: 0.981353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 551, 4, 166 in decreasing order.\nAnswer: 551, 166, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (0 + -2 + -1). Let u(h) = 4*h**3 - h**2 - 2*h - 1. Let n be u(r). Put 5, n, 1\/4 in decreasing order.\nAnswer: 5, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1305\/609*21\/10)\/(4332\/38).\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5 - 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by -22.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 2*z - 1)*(1 + 5 - 4) + 1 - 1 + 2*z + 1 + 18*z - 1)*(-z + 2 - 2) + 178*z**2 + 241*z**2 - 154*z**2 in the form d + u*z + g*z**2 and give g.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 2*u**2 + 4. Calculate z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43338.33mm to meters.\nAnswer: 43.33833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/(-6))\/(1\/14). Let y be (9\/(-27))\/(1\/(-12)). Suppose -y*o + o + 63 = 0. What is the greatest common factor of x and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*o**3 - 2*a**2*o + 3421676*a**2 - 4448904*a*o**2 + o**2 wrt o?\nAnswer: -6*a**2*o - 8897808*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -169887, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 6*u**2 - 6*u. Let j be z(4). Let g = j - 3. Solve 2*s = 4*y - 2 + 8, 0 = g*y + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 66.7401.\nAnswer: 68.7401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -224, -5 in ascending order.\nAnswer: -224, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1739912*-9.6.\nAnswer: 16703155.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + z = -2*z - 6, -10 = m + 3*z. Suppose 2*j - j - m = 0. Let l = -8 - -12. Solve 8 = l*w - j*n + 4*n, -3*w - 5*n = 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*2*3\/(-4). Let m = -21 + 26. Solve 3 + 1 = -m*x - 2*d, 3*x = 3*d + y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*a**3 - 683 + 683)*(-16 - 9 + 7).\nAnswer: 1530*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 12 = -2*r, -7*r = -9*y + 11*y - 42 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1087, 1179, 1271, 1363?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 56*t**2 - 6*t. Let g(x) be the second derivative of -x**3\/6 - 1227*x. What is g(y(a))?\nAnswer: -56*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -27. Let w(y) = y**2 - 25*y + 27. Let p be w(24). Find the third derivative of 15 + 2*h**2 - g + p*h**5 + 0*h**2 wrt h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 754 - 4?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*x + 792792000 = -8*x. Round x to the nearest one hundred thousand.\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -21*i**2 - 440. Let z(t) = -60*t**2 - 1320. Give -17*n(f) + 6*z(f).\nAnswer: -3*f**2 - 440","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 644638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -k - 3*k. Let l = k + 7. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -15. Let d be ((-4)\/(-6))\/(4 + -2). Sort t, -2, d.\nAnswer: -2, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1426 - -1430. Let r(g) be the third derivative of 0*g + 1\/30*g**5 + 0*g**l + 0 - 23*g**2 + 0*g**3. Let w(q) = 18*q. What is r(w(b))?\nAnswer: 648*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5\/2 + 1054*k**4 - 8447*k**3\/2 + 1059*k**2 + 6336*k = 0 for k.\nAnswer: -2112, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 770, 6050, 20380, 48290, 94310, 162970, 258800, 386330?\n\"Answer: 755*w**3 - 5*w**2 + 10*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5563.41738 + -5149.4212. Let t = -414 + i. Round t to four decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -262 + 488. Find the third derivative of v*s + 9*s**2 - 5*s**6 - 226*s - s**2 wrt s.\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*r + 0*r - 24 = 0, -2*a = -3*r + 23. Put 2, 4, a in increasing order.\nAnswer: a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4\/7 - 13222*l**3\/7 - 46334*l**2\/7 + 26472*l\/7 = 0. What is l?\nAnswer: -4, 0, 1\/2, 3309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**11)**(2\/17) assuming z is positive.\nAnswer: z**(-20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*i + 0*i - 4*i)*(4 + 1 - 6) + 12 - 5 - 35*i + 37*i)*(-16*i**3 - 15*i**3 + 37*i**3).\nAnswer: 24*i**4 + 42*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -612, -2432, -5472, -9732, -15212, -21912, -29832?\n\"Answer: -610*u**2 + 10*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n**4\/4 - 741*n**3\/2 + 1809*n**2\/4 + 222*n - 300 = 0. Calculate n.\nAnswer: -100, -4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {e: 4, y: 4, h: 6, w: 3}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 24. Let u be c(-22). Let w(i) = -3*i**3 + 4*i**2 + 4*i + 2. What are the prime factors of w(u)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2245 and 71391.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**3 - 16*a**2 - 8*a - 14. Let l(w) = 3*w**3 - 17*w**2 - 6*w - 12. Calculate 5*l(p) - 4*x(p).\nAnswer: -p**3 - 21*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**4\/6 + v**2. Let w(g) be the third derivative of 0*g**3 + 0*g**4 + 1\/20*g**5 + 18*g**2 + 0*g + 0. What is w(p(s))?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(2\/(-4) - -1). Suppose -5*f - 4*t - 2 = 1, s*t = -4*f. Is f > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 - -135. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5253 - 5253.4. Which is the closest to 4.8? (a) 1\/4 (b) v (c) -1 (d) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 3*w + 28. Let k be c(7). What is the highest common divisor of k and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:01 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + sqrt(144) + -2*(sqrt(144) + sqrt(144)*-1 - sqrt(144)))\/(sqrt(12)\/sqrt(4)*2 - sqrt(3) - sqrt(3) - sqrt(3) - sqrt(3)))**2*-6.\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 572 - 167. What is the greatest common factor of b and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.02607 rounded to two dps?\nAnswer: -4.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 3*r + 5. Let s = -11 + 6. Let h(v) = -6*v - 6 - 17*v**2 + 70*v**2 - 19*v**2 - 19*v**2 - 16*v**2 + 2*v. Calculate s*h(y) - 6*a(y).\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 9532930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207855207 to the power of 1\/2, to the nearest integer?\nAnswer: 14417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25700 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -9 - (-4 + -2)) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74180977 less than -0.5?\nAnswer: -74180977.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387174127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202882 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: What is 320 minutes after 11:30 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3720 (base 16) in base 12?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 + 138\/30. Let d(i) = -i + 2. Give d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1292 by -6.\nAnswer: 646\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - g)*(4*g + 0*g - 3*g + 1 + g - 1 + (2 - 5 + 4)*(0*g + 0*g + 2*g) + 4*g - 3*g + g + 3*g - 2*g - 3*g + 4 - 4 - 8*g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 + 14*j + 6*j**2 - 14*j. Let k(a) be the first derivative of 0*a - 1\/3*a**3 + 0*a**2 - 43 + 1\/4*a**4. Give -6*k(h) - q(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*o + 0*o - o)*(4 - 3 - 4) - 8*o - 6*o - 2*o)*(2*o**2 - 2*o**2 + o**3)*(2 - 1 - 4)*(4 - 2 + 0).\nAnswer: 78*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 - 23*d\/2 - 30.\nAnswer: -(d + 3)*(d + 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 397146, 794290, 1191434?\n\"Answer: 397144*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1676 - 16?\nAnswer: -1703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/11 - 6*f**2\/11 - 3450*f\/11 + 58750\/11 = 0?\nAnswer: -47, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243*n**2 - 17407602*n + 311753711307.\nAnswer: 3*(9*n - 322363)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5158 and 10.\nAnswer: 25790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*l - 69*l + u = 7, -5*u = l - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*b + 6*b - 44*b - 2 - b - 5*b + b + (-4 + 4 - 1)*(-1 - b + 1).\nAnswer: -51*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6045 = -3715. Is (1\/(-4))\/(8\/q) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 + 3*d - 15. Let u(f) = -f**3 - f + 7. Let v(q) = -2*n(q) - 5*u(q). Suppose -12*h = -6*h + 66. Let k be 2\/(-16) + h\/(-88). Calculate v(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-3) + -3)\/((-11)\/1 - 7227\/(-660))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -466992.89827 - -466988. Let x = f - -4.9. What is x rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 4*y = 4, 4*f + 8 = 3*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13344 + 120434?\nAnswer: 102040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -10*t + 8. Which is the third smallest value? (a) -0.5 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 209*u + 205*u = -48, 5*u = 10*s - 23*s + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - r - 2. Suppose -10 = -3*g + g. Suppose 48 = 2*n + 4*x, -g*n + 105 = -3*x - 2*x. What is the remainder when n is divided by p(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2884754757.\nAnswer: 3, 79, 12171961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-9) - ((-25)\/(-15) - 4). Let b(k) = -k**3 + k**2 + k + 1. Let r be b(-1). What is the highest common factor of r and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*d + 13, d + 16 - 9 = n. Solve 5*u = -n + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 2*(-9)\/6. Suppose -2*a = -5*a + 3. Let c = a - g. Let z(w) = -2*w - 9. Give z(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 140, 86, -54, -322, -760, -1410?\n\"Answer: -7*s**3 - s**2 - 2*s + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + 2*q)*(2*q - 3 - 4*q + 6*q) + (-4*q + 5*q - 3*q)*(5*q + 2*q - 4*q).\nAnswer: 2*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*24\/(-36))\/2*-30?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miiiimiimi. Give prob of picking 2 m and 1 i.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*x**4 - 374*x**3 - 273*x**2 - 13 wrt x?\nAnswer: 216*x - 2244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 284\/7 + -39. Let l = -3592 - -3594. Is l at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -369. Let b be ((-2)\/8 - 1)*138\/z. Find c such that b + 3\/4*c + 1\/4*c**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 689? (a) -5 (b) -7 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2059*0.0986.\nAnswer: 0.02030174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -7) + (-17 - -14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 939, 341, -493, -1563, -2869?\n\"Answer: -118*l**2 - 244*l + 1301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 0.28.\nAnswer: -0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 + 4 - 8 + 0 + 5 + 3*j to d*j**3 + q*j**2 + y*j + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -161. Calculate the highest common divisor of 28 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t = 6. Let m be 9\/(-4) - t - 40264\/(-32). Suppose -3*w + 5*q + m = 0, -w + q + 406 = 6*q. Round w to the nearest 10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let d be ((-2)\/3)\/(4 - 10\/3). Let u(b) = 6*b**3 + 6*b. What is d*u(q) + 6*r(q)?\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -3513 + 3054. Solve 0 = -29*m - s - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 974792 and 14626?\nAnswer: 69210232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13738\/11 - -1249. Which is the closest to -45? (a) p (b) -1\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 36*g**2 - 37*g + 57. What is p(35)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwkkkkseeksskwkkwsek. What is prob of picking 4 k?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78, -212, -340, -456, -554, -628, -672, -680?\n\"Answer: j**3 - 3*j**2 - 132*j + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -41.566 and -1326210.\nAnswer: -1326251.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-2) - (5 + -4). Suppose 0*f - 5*f + 715 = u. What are the prime factors of f?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + m**3 + 327*m**2 + 369*m**2 + 31*m - 719*m**2 to the form s + j*m**2 + b*m + p*m**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1540\/(-84) - -18)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3157 and 51\/671.\nAnswer: 192577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*r**3 - 3554*r**2 + 284*r.\nAnswer: 2*r*(r - 71)*(25*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - -1*sqrt(90))\/sqrt(3) - sqrt(60)\/sqrt(2)*-5)\/(6*sqrt(1500)\/sqrt(10)).\nAnswer: 7*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/9*-1*(-8)\/10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (640\/18)\/(-4) - (-59)\/(-531).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 59461809169 + -1\nAnswer: 59461809168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -130, -168, -204, -238?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*j - 4 = 2*j, 4*j = -4. Suppose 3*d - 5*d - 2*l = -6, p = -d + 2*l. Suppose 0 = -z + 2*n - d, -3*z + 2*n = -2*n. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 112 + 627 = 0. Suppose -566 + 948 = 2*h. Let i = h - k. Calculate the highest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5401 + 5401 + 193*r)*(-30 + 30 - 25*r).\nAnswer: -4825*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 642 and 4725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 359685402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c + 20 = 47*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 13947120.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.61951422 - 82.38056478. Let x = -0.168 - 83.832. Let b = x - i. What is b rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 12 = 3*g. Suppose 96*h - 176 = 112. Sort 2, h, g.\nAnswer: 2, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30157798 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(196)\/(sqrt(35)\/sqrt(5)) - sqrt(336)\/(-2*sqrt(12) - sqrt(12)))\/(sqrt(12)\/sqrt(48) - (sqrt(196) - -2*sqrt(196)))*5)**2.\nAnswer: 716800\/62001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 1631514*z + 3263027\/2.\nAnswer: (z - 3263027)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17485*n**3 + 22666*n?\nAnswer: 104910*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2 = -2. Let j be p - -1*(-3)\/(-5). Determine r so that 6\/5*r**3 + 0 + 8\/5*r**2 - 8\/5*r + 2\/5*r**5 - j*r**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 92\/253*2\/4. Which is the closest to -2? (a) -9 (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -n + 19, -927*b + 926*b = -5*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -12011.18978\nAnswer: -12013.18978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/16 - 1\/2. Let x be (-5)\/20 + 0 - (-187)\/36. Let k = 46\/9 - x. Which is the biggest value? (a) u (b) k (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 + 11*x**3 - 94*x**3 - 11*x**3.\nAnswer: -99*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 217 - 81. Calculate the greatest common divisor of 170 and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5798000 rounded to the nearest 100000?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t. Let m(s) = -3 - 18*s - 16 + 19. Determine d(m(h)).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275129389.\nAnswer: 2659, 103471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678762522.\nAnswer: 2, 3, 23, 241, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*j**2 - 69*j**2 - 95*j**3 + 50*j**3 + 50*j**3 - 77*j**2.\nAnswer: 5*j**3 - 198*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 62. Suppose -20 = -z*d + 5*i, -16 = 3*i + i. Find r such that d + 1\/8*r**3 + 0*r**2 - 1\/8*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 857.3436 seconds?\nAnswer: 0.238151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*h - 10 + 10)*(-19 + 9 + 13)*(-1 + 2 - 3)*(2 - 3 + 2).\nAnswer: -486*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2725 = -485. Let t = o - 333. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.76 - 1.24. What is the third biggest value in 24, 3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 11 + 4369\/(-476) - 1\/4. Suppose 0 = -3*p - 0*p. Which is the nearest to p? (a) 23 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i + 322. Determine k(-32).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (-31675)\/1505 - (-2 - -2).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1246 - 715. Let f(b) = -b**3 + 94*b**2 - 762*b - 137. Let q be f(85). What is the highest common divisor of g and q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - ((-2 - 16) + (5 - (22 + -25)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1919 or -1915?\nAnswer: -1919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(1*(-1)\/14). Suppose 3*n - 6 = -u - 12, -2*u + 2*n = -20. Calculate the greatest common divisor of u and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 79448362*b**3*s**2 + 8*s**2 - 3*s + 194069 wrt b?\nAnswer: 238345086*b**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/13))**(-7\/11)\/(c*c\/(c*c\/(((c**(1\/4)\/c*c)\/c*c)\/c*c*c)*c)*c**(-10)) assuming c is positive.\nAnswer: c**(5521\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -748*w - 580*w - 681*w + 329*w + 16*w in the form z + p*w and give p.\nAnswer: -1664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -172aa2 + 44c?\nAnswer: -172654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1641*l - 707 - 910 = -1662*l. Suppose n - 14 = 8. Calculate the greatest common factor of n and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*q + 108 - 9, -4*q - 78 = -2*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 71. Suppose 2*d - 82 = n. Is d a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33512525 + 103?\nAnswer: 33513032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y + 8. Let i(z) = 15*z + 15. Let w(b) = 29*b + 29. Let a(x) = -5*i(x) + 2*w(x). Let k(m) = 4*a(m) + 9*d(m). What is the units digit of k(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (672\/333)\/1 - 2. Let a = -13\/37 + z. What is the nearest to 1\/4 in -1, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**2 - 3*n - 150. What is y(-7)?\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.755 - 4.655. What is the biggest value in 1\/6, 0, -0.04, -0.3, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3572, 14233, 32004, 56897, 88924?\n\"Answer: 2*g**3 + 3543*g**2 + 18*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879488233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 2*d**2 - 2*d. Suppose 2*o = 6 - 2. Let r(b) = -3*b**2 + b**2 + b**o. Determine t(r(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 705775701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - y + 937 + 36, 0 = -4*p + 3*y + 767. Find the common denominator of 25\/9 and (-12)\/9 - p\/(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19935 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 757604894 take away 0.09?\nAnswer: 757604893.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -0.02174574 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52109729 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: Is 20273149 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -13*s**2 - 6*s - 5. Let l(h) = -2*h**2 - 2. Let y(j) = 6*l(j) - z(j). Let t(o) = o**3 + 4*o**2 + 3*o + 6. Let n be t(-4). Determine y(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*k + 8 + 4 = 0, -3*w - 5*k + 35 = 0. Differentiate -n**2 - w*n**2 + 4*n**2 + 8*n**2 - 75*n - 17 wrt n.\nAnswer: 2*n - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/7 (b) 1.4 (c) -2 (d) 1 (e) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8748 + 12202 = 0. What is g rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48235 and 119900?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4188 and 22692?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22a + -47?\nAnswer: 1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-282)\/329)\/((-16)\/7).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -35*t**2 - 169*t - 634. Determine z(-4).\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmpgmmmpg. What is prob of picking 1 p and 1 q?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 91, 238, 477, 826, 1303, 1926, 2713?\n\"Answer: 3*f**3 + 19*f**2 - 5*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 0*l + 2\/15*l**5 + 0 - l**2 - 1\/3*l**4 + 13\/6*l**3 + 1\/120*l**6. What is the units digit of r(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*t - 96*t - 600*t - 314*t.\nAnswer: -794*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3)*n)**26*n*n*n**(2\/13)*n**1)\/((n**(1\/2)*n\/(n\/(n*n**2)))\/((n\/n**(-3))\/(n\/(n\/n**(-2\/3))))) assuming n is positive.\nAnswer: n**(1239\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10320*d**2. Let g(m) = 2*m**2 - 60. Give g(i(j)).\nAnswer: 213004800*j**4 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.18076 and -0.205.\nAnswer: 3.7270558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evpvwvvvvvvewppe. What is prob of sequence pw?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b7 - 4485?\nAnswer: -4880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 260731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7 = 3. Solve -2 + 11 = -3*t - 5*w, 0 = z*w + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28648200 divided by 175?\nAnswer: -163704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 10 = 0, 542*f - c = 543*f - 2 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1767*l = -1760*l + 266. Put -3, 1, l in increasing order.\nAnswer: l, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027638 to four decimal places.\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249123 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 2*a + 2. Let l be q(-2). Suppose 3 = d + l. Let f(h) = 14*h + 1. What are the prime factors of f(d)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p + 3*p - p)*(0 + 1 + 0) + 3*p - 2*p - 2*p - 22*p + 9*p + 6*p + 3 - 3 + 19*p + (2*p + 2 - 2)*(1 - 5 - 1) to the form h + c*p and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) + 18\/27. Suppose m*a - 4*a + 16 = 0. Let q(v) = 5*v + 2. Let j(c) = 6*c + 2. Calculate a*j(n) - 5*q(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*f - 3434, 2*f - 9*q + 14*q = 1360. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 3*k + 4. Let d be i(-8). Let p = 41 + d. Solve 2 + 23 = -5*r + p*w, -w + 5 = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y**5 + 15764*y**4 + 1606106*y**3 - 12825604*y**2 - 8905024*y + 5510912 = 0. Calculate y.\nAnswer: -103, -1, 2\/5, 8, 1672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150151 or -3?\nAnswer: -150151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s + 211. What is r(27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27927103, -27927149, -27927225, -27927331, -27927467, -27927633?\n\"Answer: -15*i**2 - i - 27927087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 5*p**4 + 4*p**4 + 3*p**2 - 6*p**2 + 2 - p**3 + 2*p as d*p**3 + t*p + m + z*p**4 + y*p**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 11 + 9. What is the remainder when 8 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 7 + 6*l**3 - 50*l + 50*l + 24.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - 52 - (-1 + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 698073.9 grams?\nAnswer: 698073900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.045110004 + -104.9.\nAnswer: -104.945110004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 618 - 1543. Which is smaller: -187 or x?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 - -195. Which is smaller: 1\/368 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.2 + -53. Which is the fourth biggest value? (a) x (b) -1 (c) -0.02 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1282683\/7 + -183189. Factor -v + 48\/7*d + 2*d**2 - 2\/7*d**3.\nAnswer: -2*(d - 6)**2*(d + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42703612?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.030279 and -3.578.\nAnswer: -3.608279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7\/6 - 11\/6. Let n(k) = -k**2 - 2*k - 2. Let o = -3 + 1. Let b be n(o). Which is smaller: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 3. Let s(h) = h - 7. Let l(j) = j**2 - 9*j + 7. Let o be l(7). Let r(w) = o*c(w) - 3*s(w). Let v(n) = 6*n - 3*n - 2*n. What is r(v(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105837 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1776 (b) -4\/9 (c) 3 (d) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 2*(-6 + 4). Suppose s*w - 2 = -a + 4, -a - 10 = -3*w. Calculate the highest common factor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393228619?\nAnswer: 7, 2963, 18959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(833))*-6*-6.\nAnswer: -72 + 252*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 15*g + 36. Give z(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 - 48\/(-30). Suppose -5*v - a*o + 13 + 7 = 0, 2*v = 4*o + 8. Suppose -v*p + 548004 = -4*k, p + 0*p + 5*k - 136995 = 0. Round p to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16727.\nAnswer: 43, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 462978799?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(3*7\/(21\/3)*60\/(-90)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0351 - -46.9649. Put q, -0.3, -1.4 in decreasing order.\nAnswer: q, -0.3, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12102, -39177, -81224, -138243, -210234, -297197, -399132?\nAnswer: -516039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddf when four letters picked without replacement from ddddff?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 - 67 = -v + 11*g, -4*v + 2*g - 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - u + u + (2*u + 3*u + 0*u)*(-u + 2 - 2) - 4*u**2 - 5*u**2 + 0*u**2)*(2*u - 2*u + u**2).\nAnswer: -17*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 12:28 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5510 + 2469?\nAnswer: -3052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, 0.041, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -126, -127, -124, -117?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1758278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 934*i**3 + 2246*i**3 + 1728*i**3.\nAnswer: 4908*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u - 2*s = -30, -4*u - 2*s = -50. Calculate the lowest common multiple of 31 and u.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15634*z - 22 - 9 + 15552*z wrt z?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/8 - 398*f**4 - 2534461*f**3\/8 + 4777*f**2\/4 + 951220*f + 633616 = 0. Calculate f.\nAnswer: -1592, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0421 less than 0.3?\nAnswer: 0.3421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:15 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + d = 4*d - 26, 2*d = -4*s + 36. What is the remainder when 111\/s - (-2)\/14 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1495\/(-234))\/(((-1)\/5)\/(90\/(-750)))\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14944260 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6929 - -0.1361. What is o rounded to two decimal places?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94927857 - 5?\nAnswer: 94927852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**6\/3 + 32*c**5\/5 - 376*c**3\/3 - 130*c**2 + 600*c - 550. Find t, given that f(t) = 0.\nAnswer: -5, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28790620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 34552, 0 in descending order.\nAnswer: 34552, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 2395056*o**2 + 358532697600*o - 4302047490048.\nAnswer: 4*(o - 299376)**2*(o - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -323, -721, -1279?\nAnswer: -1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*(-1 - c + 1)*(-4 + 4 - 2)*(-29*c**2 + 63*c**2 + 108*c**2) + (c**2 - c**2 - c**2)*(c + 0 + 0) - c**3 - 11*c**2 + 11*c**2.\nAnswer: -570*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*w**2 + 5*w**2 + 4*w**2 + 5*w**4 + 2*w**2 - 2*w - 1 + 2*w**3 + 4*w**2 as b*w**2 + s*w**4 + h + j*w + u*w**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:52 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -275330824 to the nearest 1000000.\nAnswer: -275000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2707 or 2\/44151?\nAnswer: -2707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w + 0*w + 4*w - 7*w. Let u(q) = -5*q**2 + 2. Let v(f) = -36*f**2 + 15. Let o(z) = -15*u(z) + 2*v(z). Determine o(a(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 12*u + 6. Determine w(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.1, 2\/15, 0.4, 16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 5*d**2 - 8*d - 8. Let v be i(-6). Suppose -t = -0*s + 3*s - 90, v*s + t - 120 = 0. Suppose -4*w - w + s = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3513784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:54 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 710483 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p*t*u**2 + p*t*u + p*t - 5*p*u**3 + 3*p*u**2 + 63437*p + 19302*t*u**3 - 1 wrt u.\nAnswer: -30*p + 115812*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (4\/14*(12 + -5))\/1 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - i. Let h(j) = -j**2 + 10*j + 19. Let z(c) = -3*b(c) + h(c). Is z(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + -3 + 0 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 101, 199, 297, 395, 493?\n\"Answer: 98*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266453 by 4.\nAnswer: 266453\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 - -0.2. Let r = 3.8 + -0.8. Let d = 1.4 + -1. Sort d, r, b.\nAnswer: b, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 19*v + 7*v**2 - 5 - v**2 - 16 + v**3 + 11*v**2. What are the prime factors of k(-14)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -150342?\nAnswer: -150345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 69*c + 876. Let l be r(-17). Let i(a) = a**2 + 10*a + 8. Let x(j) = 2*j**2 + 20*j + 17. Let w(t) = -5*i(t) + 3*x(t). Calculate w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 76, 276, 630, 1156, 1872, 2796, 3946, 5340?\n\"Answer: 3*z**3 + 59*z**2 + 2*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 1:13 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 27*l - 47. Let p be n(9). Suppose 5*z = -p + 186. Sort -12, 5, -5, z in decreasing order.\nAnswer: 5, z, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t*t**(-1)))*t)**(-15)*(t**0)**32*(t**1)**(-1\/70)\/((t*((t\/(t\/((t**(1\/3)*t)\/t)))\/t)\/t*t*t)\/t**(-2\/3)) assuming t is positive.\nAnswer: t**(-2241\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613811 - 119425 = -92*a - 37*a. What are the prime factors of a?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5042*k + 16002 - 487 = -5577*k for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 7*u + 6. Let z(l) = 2*l**2 - l + 4. Let k be z(4). Let o = -23 + k. Let g = o + -3. What is r(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-4)\/(-26) + (-2)\/13. Solve q*h - 3*h + 11 = -3*a, h - 3 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 37*p - 241. Calculate the remainder when -6 + 2 - -4 - -61 is divided by n(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.44 + 1.56. Put 0.4, -2.1, -1\/7, b in ascending order.\nAnswer: -2.1, -1\/7, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.4 (b) -0.5 (c) -1\/6 (d) 53 (e) 4\/143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 3*y - 12 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)*l)**(-22)*l*l*l**(-5)*l**(2\/7)\/l*l assuming l is positive.\nAnswer: l**(-173\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 53*i + 370*i + 264*i.\nAnswer: 687*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o. Let q(t) = t - 2. Let s(m) = 3*m - 5. Let h(p) = 15*q(p) - 6*s(p). Determine h(b(l)).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/83975 - 7809661\/1175650. Calculate the common denominator of r and (1\/(-35))\/((-2)\/(-26)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 36. Determine m(-16).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*-3*sqrt(1815) - sqrt(1815)))\/((4*sqrt(15)\/sqrt(3) - -1*sqrt(20)\/sqrt(4))*-6).\nAnswer: -121*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from wlllwllllllwllllwlll?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -15*j. Let p(t) = -7161*t - 1. What is r(p(f))?\nAnswer: 107415*f + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -477 divided by -83.\nAnswer: 477\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.003, 7.6.\nAnswer: -0.3, -0.003, 7.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-5))\/(3\/(-15)). Find the common denominator of 33\/(-11) + 1\/14 and 266\/(-35)*(-50)\/n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (7 + -8 + -12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 3. Let x(w) = w - 5. Let i be -4 - 9 - (2 - 23). Calculate i*l(z) + 5*x(z).\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 483*s - 2382. Calculate a(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04509132412 and -66.\nAnswer: -66.04509132412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {y: 4, f: 2, p: 1, c: 1, a: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22939, 22936, 22933, 22930, 22927?\nAnswer: 22924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**3 + 2*k**2 - 1. Let a be l(1). Let v = a + -3. Let m = v + 4. What is the highest common factor of m and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 127, 4, 334, -0.3, -0.1, -3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, -15, 0, -352 in descending order.\nAnswer: 15, 2, 0, -15, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-9) + -5*5\/(-12). Let h(l) be the first derivative of 0*l + 2\/9*l**3 + 3 - c*l**4 - 1\/6*l**2. Factor h(a).\nAnswer: -a*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -23224*c + 139272. Give z(6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 272\/(-6)*((-153)\/(-18) + -10)\/2\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/7)\/w**(-1)*w*w\/((w**(-7)*w)\/w)*w\/(((w**(-4)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28899 and 897?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 + 124. What is the least common multiple of d and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - 0.4. Let t(i) = -i**2 + i - 1. Let d be t(2). Let n = -1163 - -1163. What is the nearest to w in -4, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2577926.\nAnswer: 2, 13, 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from hhshvoooohu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*z - 2*c, -5*z + 5*c + 8 - 3 = 0. Suppose 4*y - 5*y = -z. Let a(x) = -x - 1. Determine a(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -82. Let v = q - -49. Suppose -8*k - v = -0*k. Which is the smallest value? (a) k (b) 3\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18030, -35976, -53832, -71598, -89274?\nAnswer: -106860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*a - 25*a**2 + 19*a**2 - 21*a - a**3 + 5*a**2 + 1 + 400*a as q + p*a**2 + d*a + k*a**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s + 398 = 122 - 4 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-490)\/1085*(-7)\/(-147)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 21069.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 638*h*t**3*x - 3*h*t**3 - 3*h*t**2 + h*t - 3*t**3*x - 260*t**3 - 15315574*t*x - 2*x wrt t.\nAnswer: 3828*h*x - 18*h - 18*x - 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**7\/70 + 107*y**5\/60 - 338*y**3 - 5*y**2 - 178. What is the first derivative of h(o) wrt o?\nAnswer: -12*o**3 + 214*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -130, 177, 688, 1403?\n\"Answer: 102*l**2 + l - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from afaemf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 953, 1500, 1365, 200, -2343, -6612?\n\"Answer: -58*l**3 + 7*l**2 + 932*l + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -353*d*v**3 + 92*d*v**2 - 2*d*v - 20*d - 136020*v**3 + 5 wrt d?\nAnswer: -353*v**3 + 92*v**2 - 2*v - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -447299\/18 - -24858. Calculate the common denominator of u and (16813\/850 + -20)\/((-9)\/5).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2\/5 + 76*q\/5 - 1078\/5 = 0.\nAnswer: -49, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 17*q**3 - 995065*q + 995065*q + 2 + 6*q**2 to the form a*q + v*q**3 + f*q**2 + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 2*t - 6. Let o(c) = -5*c**2 + 3*c + 12. Let f(p) = 4*o(p) + 7*y(p). Let i(m) = -m**2 + 1. Calculate f(s) - 4*i(s).\nAnswer: -2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20707 + -20557. Solve b = 24*u + 6 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/4290 and 161\/12480.\nAnswer: 137280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*g + 29, -r + 17 = -59*g + 60*g. Sort 4, r, 5 in descending order.\nAnswer: r, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2741, 5471, 8197, 10919?\nAnswer: 13637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 167200 and 17800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((5\/((-60)\/48))\/1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27889188 and 1064.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247895077?\nAnswer: 997, 248641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1b403a (base 14) to base 7\nAnswer: 11154103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16299 and 79200?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 38, 64, 100, 146, 202, 268?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 + 3 = 0. Find the common denominator of ((-1)\/10)\/(w\/1060) and -39\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 14) in base 2?\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 + u. Let q be v(-1). Suppose -4*o + 16 = -2*g, 2*g + q*o - 29 = -o. Which is smaller: g or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 12, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(11) + sqrt(11) + sqrt(33)\/sqrt(3)*2)*4.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 36*i**2 - 4*i - 104. Does 40 divide u(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*l - 32 = -84*l. What is the remainder when 27 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*d + 9 = -d, -5*h + 2*d = -8. Let q be 268 + h + -1 + 0. Suppose q = 5*t - 6. Is t a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in years?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 3538, 39 in descending order.\nAnswer: 3538, 39, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 16*s**3 + 48*s**2 - 6*s - 3. What is the ten thousands digit of h(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455830*l + 455830*l - 93389*l**2.\nAnswer: -93389*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-1) - 4) + (20 - -27). Suppose -x + v = -89. Calculate the remainder when x is divided by 31.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 210*w**2 + 241*w + 6377. Calculate i(-211).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*y**2 + 26 - 26 - 339*y + 339*y - 12*y**2 + (y**2 + 3*y - 3*y)*(2 + 2 - 6).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*h - 2. Let t(v) = v**3 - 7*v**2 - 45*v + 11. Let k be t(11). Suppose k = -3*w + h*w - 57. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 + 13.13. Let a = -14.88 + k. What is a rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3\/5 - 840*j**2 - 2234106*j\/5 - 30459772\/5 = 0.\nAnswer: -1043, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -138942198.\nAnswer: -1\/69471099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14086, -28042, -41866, -55558?\n\"Answer: 66*p**2 - 14154*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4769 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(2448) - sqrt(2448)) + -2)**2 + (sqrt(2448) - (-3 + (0 + sqrt(2448))**2) - sqrt(2448)) - (-1*(6*sqrt(2448)*1 + 4))**2.\nAnswer: -90587 - 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023861948 to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 2\/545 (c) 0 (d) 35 (e) -1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*a**4 + 3 + 4 - 17*a**4 + a**3 - a**2 in the form z + s*a**2 + q*a + v*a**4 + u*a**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197836986?\nAnswer: 2, 3, 131, 251701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of (-66)\/(264\/(-24)) + (31020 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6252175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 320 - 272. Calculate the highest common factor of y and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30174321793 and -0.1.\nAnswer: 30174321792.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36801 and 564.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:07 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 7*y - 6. Let z be ((-126)\/(-12))\/((-3)\/4). Let p be ((-12)\/7)\/(z\/49). Calculate w(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(0\/(-1) + -6 + 34483748\/5747300). Round h to the nearest ten thousand.\nAnswer: 1770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:55 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 27*a**5 + 21331701*a**4 + 21331620*a**3 - 42663344*a**2 + 3160256*a + 6320496 = 0.\nAnswer: -790062, -2, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -80, -150, -222, -296, -372?\n\"Answer: -a**2 - 67*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 657?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/2)\/((-6)\/(-2)). Suppose w = -4*q - 2*x + 54, 5*x - x + 46 = 3*q. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -168*z**4 + z**2 - 996*z - 443. Find the second derivative of p(b) wrt b.\nAnswer: -4032*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 7 + 0*k**2 - 2*k + 4\/3*k**3. Let z(l) = 7*l**2 - 3. Calculate -5*x(s) + 3*z(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-2\/7)\/f*f))**(-6\/13))**(-2\/19)*(f*f**1\/f)**35*(f\/(f\/(f\/f**(-1)))*f)**(-2\/13) assuming f is positive.\nAnswer: f**(59825\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 26*q + 30. Let v be j(0). Suppose v*l - 32 = 26*l. Solve -l = o - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 24 = 7*k. Suppose -3*o - 45 = -k*a + 28, 2*a + 5*o - 33 = 0. Let i(w) = -w - 1. What is the remainder when a is divided by i(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 1, q: 3, c: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 4, -434.11 in descending order.\nAnswer: 4, -41, -434.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 720*p. Let h(w) = -398342*w. Give h(o(f)).\nAnswer: -286806240*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 18*x + 25. Let n be u(-19). Let i = n + -40. Calculate the remainder when 13 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 660567599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/2? (a) 34 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -445, -354, -0.1 in ascending order.\nAnswer: -445, -354, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 45 - 201 = -2*h, 2*c - 129 = 5*h. Let y = 147 + -104. What is the remainder when y is divided by 1\/(-2) + c\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -11. Suppose w*y = 15 - 0. Suppose -45 = -2*r - 3*d, 0*r + y*r - 5*d - 58 = 0. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {y: 1, p: 1, b: 1, z: 1, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k - 2. Let o = 0.144 - 62.144. Let u = 58 + o. What is the third smallest value in 5, u, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -3)\/(1\/3). Let a be m\/(-7)*(6 - -1). List the prime factors of (a\/7)\/((-6)\/(-21)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 461299238 to the power of 1\/2, to the nearest integer?\nAnswer: 21478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w = -27*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95*l**4 - l**2 + 58*l.\nAnswer: 2280*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 318, 17, 4, 2 in decreasing order.\nAnswer: 318, 17, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24457, 24458, 24459?\n\"Answer: h + 24456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 649.6378mm to nanometers.\nAnswer: 649637800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20504?\nAnswer: 2, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*r**2 - 12*r**2 - 15*r**2)*((1 - 1 - r**3)*(1 + 2 - 5) - 2*r**3 + 0*r**3 + 3*r**3).\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/108)\/((-1)\/(-3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 19. Let d = -1424 - -1458. What is the remainder when d is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-5))\/((-2)\/5). Let l = -2049 + 2044. Let a = 18.1 + -18. What is the nearest to 0 in a, l, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 41\nAnswer: -43\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75113357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/5, 1, -0.172, 0.1, -4.\nAnswer: -4, -0.172, 0.1, 1, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**3 - 2*z**2 + z - 9. Let b(s) = s**3 + s - 1. Let q(u) = -6*b(u) + v(u). What are the prime factors of q(-3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqyarrralyygaraal. Give prob of picking 1 g and 1 a.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 10*x**5 - 789*x**4 - 37389*x**3 + 197179*x**2 - 226329*x - 24642 = 0?\nAnswer: -37, -1\/10, 2, 3, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199096893*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kssolskkkqoslskksllk.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 7*q**2 - 3*q - 9. Calculate the smallest common multiple of u(-7) and 39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-343264)\/12240 + 28*1\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 6. Let u be a(-8). Find f such that 3*f - 6 + 8*f**u + 2*f**2 - 7*f**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258\/172*(-3)\/(-6)*-1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(108) - (sqrt(108) + (sqrt(108) - (sqrt(108) + sqrt(108)*1)))) + sqrt(108)))\/(sqrt(54)\/(sqrt(6) + sqrt(54))) + 3)**2.\nAnswer: -288*sqrt(3) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63 - -3525285.\nAnswer: 3525348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 196, 225, 252, 277?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4.1. Let j = -0.21 - q. Which is greater: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 2*p**2 + 2*p + 25. Let j be s(0). Solve 33*i + j = 38*i, i + 4 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555964 = 28*n + 27*n - 2945336. Round n to the nearest 1000.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*k + 73*k - 47 = -2*f, 2*f - 12 = 2*k. Let q = 8 - 8. Sort 3, k, q, -1 in descending order.\nAnswer: 3, q, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 943860.897ms to weeks.\nAnswer: 0.0015606165625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 29*v - 13. What is the smallest common multiple of p(28) and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 814 - -7050. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -134128 != -134227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3766 and 8608?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101980.944 + -101981. Let g = 49\/60 - 5\/12. What is the closest to 0.1 in 2\/7, 5\/2, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 358, 1398, 3126, 5542, 8646, 12438, 16918?\n\"Answer: 344*l**2 + 8*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 2\/575687 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 144, -5, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1023986708.9 and 5726.\nAnswer: 1023992434.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**4 - 2*k**4 - 2*k**4 + 6*k**4 - k**4 + 6*k**4 + 0 + 0 + 2*k**4 + (-2*k - k + 4*k)*(0 - k**3 + 0) + 0*k**3 + 0*k**3 + k**4.\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - 5*j**4 + 2*j**4 + (3*j + 2*j - 4*j)*(2 - 2*j**3 - 2) + 5*j**4 - 33*j**4 - 6*j**4.\nAnswer: -38*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*o - 8*o + o**2 - 4*o**4 + 86*o - o**3 as w*o**3 + l*o + g + v*o**2 + h*o**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 127735, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 0)\/(-2) + 4. Suppose 16 = 3*x + 2*s, y*x + 5*s - 24 = 11. Factor 1\/3 + 1\/6*o**x - 1\/2*o.\nAnswer: (o - 2)*(o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 762479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktktkttstkktkbttbk. Give prob of sequence bb.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 z when three letters picked without replacement from {z: 3, i: 6, b: 8}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/16121 and 5\/2303.\nAnswer: 16121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115.902 + 116. Round t to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8149012.1 to the nearest ten thousand.\nAnswer: 8150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p. Let k(x) = x + 7. Let t be k(-5). Let d = -4 + t. Calculate i(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46.11804 bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 997*p. Let i(v) be the second derivative of v**3\/6 - 420*v. What is q(i(t))?\nAnswer: 997*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/15)\/(0 + (-8)\/(-36)). Let l be (c\/(-4) - 1) + 5\/2. Let j(b) = 7*b + 1. Let m(z) = -8*z - 1. Determine l*j(a) + 2*m(a).\nAnswer: 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0474 + 33.9526. Let d = 21 + -17. Suppose 4 = -4*q - d. Which is the third smallest value? (a) -1\/2 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1164 - 1162. Solve -10*o = -3*x - 5*o + 23, g*x + 2*o + 6 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*r**3 + 45\/4 + 15\/4*r**2 - 59\/4*r.\nAnswer: -(r - 9)*(r - 5)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*o + 873 + 860 + 115 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.13 + -6. Let x = i + -0.15. Let r = -0.636 + 0.136. Which is the biggest value? (a) r (b) x (c) 2\/9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 1. Let l be o(-4). Let s(k) = -k**3 + k**2 + 3*k - 1. Let h be s(l). Find the common denominator of 162\/630 + 4\/h and -15\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7) - sqrt(7)) + -1 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3143600 + 277953620.\nAnswer: 274810020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23031)\/(-12795))\/((-198)\/(-15))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -806.68 - -793. Let i = -3.62 + u. Round i to zero dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2621900067 is divided by 10027?\nAnswer: 10026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 12*b + 25. Let r(l) be the third derivative of -l**4\/8 - l**2 - 62*l. Give r(c(p)).\nAnswer: -36*p - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**5\/30 - q**4\/24 - 11*q**3\/3 - 2*q**2 - 3. Let g be d(-5). Solve -4*p - 2*t = 28, 4*p + p + 2*t = -g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113461 - 0.872.\nAnswer: -113461.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 112. Let h = -44 + l. Suppose 0 = 3*o + 9*f - h*f - 173, 4*o - 235 = -f. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6*(-4 - -1). Let h(x) = 4*x**u - 4*x + 4*x + 3 + x**3 + x. What is h(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i + 6. Let c be 0\/(-1)*-1 - -2. Suppose 10 = -8*y + 9*y. Suppose c*v = a - 7, 2*a = 2*v + 4*a + y. Determine h(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41419758?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13175 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000274 rounded to 5 decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3681.198 years?\nAnswer: 3.681198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9\/10 of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/(-16 + -4)*(-1 + -6501) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbhh when four letters picked without replacement from {b: 5, h: 13}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*w + 345 = 0, -8*w + 5*w - 1718 = -5*x. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 15*y - 10. Let v be h(5). Let i = v + -41. Suppose -2*a + 184 = 2*a. What is the remainder when a is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 2769.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1496 and 59\/3944.\nAnswer: 43384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137642 divided by 6.\nAnswer: 68821\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 4*k. Let h(d) = -d**2 + 9*d - 1. Let p(f) = 2*h(f) - 5*o(f). Is p(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 + 476 = 4*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4*x = -255. Suppose 0 = 5*o - u + 125, -3*o + 3*u = -6*o - 75. Let a = o - x. What is the remainder when a is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 6*t + 8. Let u be j(-6). Let f be 278\/u - (-3)\/12. Suppose 0 = -5*w - 5*l + f, -2*w = w + l - 23. Solve g - w = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 22\/203381 and -72 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1808.563 and -4.\nAnswer: 1804.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*w - 265 = 419. What is the remainder when 52 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144105080251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 386, 0.4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 332.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -9)*((-130)\/(-25) - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 718761885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17974 and 7980.\nAnswer: 3774540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 17*l = 17. Which is smaller: -2\/2835 or l?\nAnswer: -2\/2835","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 5:39 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.18084 take away -29.68?\nAnswer: 32.86084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28511888 by 2.\nAnswer: -14255944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -475621, -951242, -1426863?\nAnswer: -1902484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2138 + -2136. Solve 4*z + 10 = 5*a - 10, 3*a = g*z + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21648203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1021204.223 to the nearest one hundred.\nAnswer: 1021200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 217*t - 7160. Determine n(35).\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033217 to 4 decimal places.\nAnswer: -0.0332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60.96 - 60. Let r = m + -5.86. Round r to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187 by -17.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -10. Suppose -2*s - 90600 = 2*g, r*g + 206555 = 5*s + 70623. Is g\/(-40) - (-2 + (-16)\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*a - 10*a = 490 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1093122 or 1093100?\nAnswer: 1093122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -641484 = -8*z - 26814284. Round z to the nearest 10000.\nAnswer: -3270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*b - 6*b + 30*b + 26*b + (-83806 + 83806 + 243*b)*(-2 + 0 + 4).\nAnswer: 550*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311970 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44.1 + -266.1. Let o = 229 + l. Which is the closest to o? (a) -1\/2 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 3*g + 12, 2*i + 20 = 5*g - 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-825)\/(-10439)) + 3\/(-75).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53561 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 519917 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150321033 + 150320933.999911. Let b = -8.6 - -107.6. Let q = b + i. What is q rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 49. Let p = h + 115. List the prime factors of p.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 38, 4, -4, 98 in descending order.\nAnswer: 98, 38, 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.481707 rounded to two dps?\nAnswer: -19.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*((sqrt(108) + -1 + -4 + sqrt(108) + sqrt(108) + 6*1*sqrt(108) + sqrt(108) + sqrt(108))**2 + -3) + 3).\nAnswer: -5940*sqrt(3) + 117801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -408, -613?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 25 = -2*y, 3*y + 3*x - x - 40 = 0. Solve -4*g - y = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 120\/160*(10\/2 + 691). What is the greatest common factor of k and 32625?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**3*t + 34*r**3 - 3*r**2*t - 27*r*t wrt r?\nAnswer: 18*t + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 6) to base 7.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**4\/12 - 11*s**3\/6 - 5*s**2 - 10*s. Let i be n(-6). Which is greater: i or 37\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/60 and 95\/5676.\nAnswer: 28380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 156 + 9)*((-2*x + 3*x - 2*x)*(-4 - 2 + 4) + 0*x + x + x - 3*x + 0*x + 0*x) + 0*x - 2*x + 4*x.\nAnswer: 143*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17979531.\nAnswer: 3, 79, 107, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 79. Give i(19).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*a**2 - 41*a**3 + 37*a**3 + 22*a**3 + 134*a**2.\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 0 + 1 + 8*j + j**2. Let t be 5\/4*-1*12\/(-3). What is the least common multiple of 2 and w(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Let j(m) = -4*m**2 - 10*m. Let t(i) = -j(i) + 10*o(i). Let r(n) = 2*n**2. Determine t(r(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66\/4*(-8220)\/(-90)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - 2*p + 2*p**2 + 0*p. Let x(r) = r. Calculate x(g(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q - 255. Suppose 1 - 18 = -3*g - 5*m, 3*m + q = 5*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*o + 11. Suppose -5*h + 1 = 5*l - 29, -3*l - 18 = -o*h. Suppose 5*y + 15 = 3*r - 17, 3*y + 32 = 5*r. Solve r*d - h*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdszz. Give prob of sequence zz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) - (-5388)\/48 - -5. Let m(z) = 7*z**2 - 2. Let i be m(2). Calculate the highest common divisor of i and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:50 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 4710?\nAnswer: 4710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689348 to the power of 1\/2, to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -71112, -3\/8, 1\/2?\nAnswer: -71112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*-2)**2 - sqrt(315)\/sqrt(5) - (sqrt(700) + 5*(-3*sqrt(700))**2).\nAnswer: -30128 - 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*z + 10 - 31 = 0, 2*z - 22 = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**3 - q**2 + 7*q + 10. Let k(d) = -4*d**3 - 2*d**2 + 6*d + 9. Let s(b) = 4*k(b) - 5*o(b). Is s(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329 + 316 + 2*v**2 - 581.\nAnswer: 2*v**2 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyjjyjjjyj. What is prob of sequence yyy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 117983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*z**3 - 14*z**3 + 4 + 3*z**4 + 3*z**2 - 12 - 10 + 29*z**3 in the form w*z**2 + v*z**4 + g*z**3 + m + j*z and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + z + 4. Suppose -w - w + z = 0. Let s(y) = 5*y + 10. Let i(b) = -b - 2. Let x(q) = -11*i(q) - 2*s(q). What is x(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/5, -1\/2068, 97?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 6*i + 1. What is n(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6857240 and 30857580.\nAnswer: 61715160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*w**2 + 114*w wrt w.\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + h + 4. Let w(t) = -5*t**2 - t - 9. Let v(i) = 7*s(i) + 4*w(i). Let c be v(-5). Let j(m) = 5*m**c - m**2 - 3 + 7 - 5*m**2. Calculate j(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/42*(-2)\/6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -311, -4, -3 in ascending order.\nAnswer: -311, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 21. Let d = 4 + 21. Suppose d = 5*v, -4*t + v = -k*v + 11. 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 the least common multiple of 164800 and 138432?\nAnswer: 3460800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -58902?\nAnswer: 1\/29451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11*l - 108. Calculate d(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 20. Is 1*(0 - -5) + j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, f: 3, z: 1, a: 2, g: 2, y: 2}. What is prob of sequence azw?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17)\/(-3) - (-10)\/(-15). Suppose v*z + k - 160 + 40 = 0, 0 = 4*z - 4*k - 72. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 22407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-118719*p**2 + 237436*p**2 - 302*p**3 + 2*p - 118722*p**2).\nAnswer: 604*p**3 + 10*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 4. Let i(h) be the first derivative of -h**3\/3 + h**2\/2 + 3*h + 1. Let j(k) = -5*i(k) + 4*n(k). What is the tens digit of j(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) + 54\/7. Suppose -6*f - 3*f = -36. Let g be 18\/f*12\/18. Put j, 2, g, -5 in decreasing order.\nAnswer: j, g, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 20. Suppose a = -t - 4*c + 1, -4*c = 6 + 2. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7910)\/(-5424) - (-18)\/(-16))*3\/(-8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43722, 87444, 131158, 174858, 218538, 262192, 305814, 349398?\n\"Answer: -k**3 + 2*k**2 + 43723*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/70, -32, -623?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 391*a**2*c + 1193593*a**2 - 14*a*c - 31*a + 13508*c + 6 wrt a.\nAnswer: 782*c + 2387186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 835693, 3342780, 7521259, 13371130, 20892393?\n\"Answer: 835696*v**2 - v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1.9. Put -2\/13, s, 4 in increasing order.\nAnswer: -2\/13, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5793019 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y - 2812 - 6*y + 2812 - 4*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -284 - -282.11. Let i = 0.11 - w. Let l = 4.9 + -3.9. Which is the closest to 0? (a) -3\/5 (b) i (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 16*k**2 - k - 1. What is the tens digit of l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67 and 143?\nAnswer: 9581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 469 - 321. Find the second derivative of w**4 - 81*w**5 + 42*w + s + 140 - 288 wrt w.\nAnswer: -1620*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9801 and 24?\nAnswer: 78408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*y**3 - 335*y**3 + 761*y**3.\nAnswer: 118*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/10 and -83\/17896.\nAnswer: 89480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/((-5)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1386427 and 557368.\nAnswer: 2983590904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 345384.9 litres in millilitres?\nAnswer: 345384900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.058 + -0.058. What is the biggest value in s, 2\/5, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1874b9 (base 13) to base 16\nAnswer: 96634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 - 1. Let f be l(-1). Is f\/4*1572\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i = 2*f - 10, 0 = f. Suppose -3*x - i*x - 85 = 0. Let t = x + 24. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(19 - 26*s**3 - 19) + s**3 - 2*s**3 - 2*s**3.\nAnswer: 49*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from lzzzzlzzbbzbzbb?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 3550.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -139*v + 19739. Give d(142).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12024 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 5*j**2 - 5*j + 5. Let r be l(4). Let f(d) = 1 + 8*d - r + 7. Let k(g) = g + 1. Let h(p) = -6*p + 4. Let i be h(3). Determine i*k(w) + 2*f(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z*z\/(z*z**(2\/7)*z*z)*(z*z*z**(-15))\/(z\/z**(-17)))**(-8\/9) assuming z is positive.\nAnswer: z**(640\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 403694 to the power of 1\/2, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**7\/210 + 237*l**6\/160 + 14233*l**5\/120 - 94643*l**4\/32 + 2883*l**3 + 528*l**2 - 4*l + 1. Find s such that j(s) = 0.\nAnswer: -93, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/5, 4.\nAnswer: -4, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*m + 62, 5*h + 89 = h + m. Let u be 1\/2 - h\/4. Let i(b) = 0*b - u*b + 4 + 2*b. Let p(d) = -11*d + 11. Give -8*i(s) + 3*p(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95523.311651 - -95421.312. Let b = a + 102. What is b rounded to five dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458419 is divided by 122?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 11:46 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 4*g + 3. Let h = 1 - -36. Suppose 0 = 4*q + h - 17. What is s(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*c + 316*c = 480 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -270701, -270728, -270755, -270776, -270785?\n\"Answer: i**3 - 6*i**2 - 16*i - 270680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**2*r)\/r)\/r)**(-13)\/(r**(-2\/13)*(r\/(r\/(r\/(r\/r**(-1\/6))*r)))\/r) assuming r is positive.\nAnswer: r**(-989\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 10, o: 3, x: 1, i: 3}. Give prob of picking 1 i and 1 n.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1842059\/2, -1\/7, -1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyy. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-4.63.\nAnswer: -2.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(p - p - p)*(p - 24 + 21 + 12*p).\nAnswer: -26*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 + 0 - (18 + 3 + -3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6694572 to the power of 1\/2, to the nearest integer?\nAnswer: 2587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**4\/3 + 38*d**2 - 2*d. Let a(z) = 4*z. What is c(a(q))?\nAnswer: -32*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u + 225 - 138 = 171. Let x(t) = 8*t - 8. Determine x(u).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 4, 59.128, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-4)\/(-8))\/1*28\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16899738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 2, j: 2, a: 4, c: 2, d: 1}. Give prob of picking 1 j and 3 a.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*o + 27 = 294*o. Sort 2, -5, o in increasing order.\nAnswer: -5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 11*x + 2. Let s(w) = w. Let p(n) = 6*s(n) - t(n). Let o be 10\/3*(-18)\/15. Calculate the smallest common multiple of p(o) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 + (-61 - -127) - -64\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + 2*n**4 - 6*n**4 + 3*n - n**4 - 3*n + (4*n - 4*n - 2*n)*(-2*n**3 + 5*n**3 - n**3) - 2*n**4 + 0*n**2 + 0*n**2 + n**4 + 5*n**4 - 3*n**4.\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -27*u**2. Let q(n) = -31822*n**2. What is q(h(o))?\nAnswer: -23198238*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*(2*(sqrt(288) + (sqrt(288) - 2*(-4*sqrt(288) - sqrt(288)))))**2 + -5).\nAnswer: -995358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001030467 rounded to seven dps?\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9326682 nanograms to kilograms.\nAnswer: 0.0000000000009326682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 277 = o. Let i = o + 1933\/7. Let v = 40.8 + -41. What is the closest to v in i, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i = 10*i - 9*i + 189 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 8 (c) 546 (d) -1\/6 (e) -247\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 63. Let v = j + 1.1. What is the third smallest value in -0.4, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85\/2 or -260?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 1. Let k(z) = -z**3 - z - 4 + 7*z**2 + 10*z - 5. Let r be k(c). Let y(x) = -2*x + 1. Determine y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 8. Suppose -3*f - a = -13, -a - 2 = 5*f - 27. Calculate v(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 361.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5403832*b**3 + 4545708*b**2.\nAnswer: 32422992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/9867 and -4\/351.\nAnswer: 88803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25308 + 175064. What is o rounded to the nearest 1000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 311, 142, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 647559789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - ((18 - 8) + -22 - -1) - 11.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 59663.8nm?\nAnswer: 0.0000596638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 1. Let x(t) = 6*t**3 - 18*t**2 + 18. Calculate -18*n(c) + x(c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.03, 1\/33, -100, 3\/4, 0.1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 146 = 84*u + 53*u + 6872 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 less than -2925884934633?\nAnswer: -2925884934565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*h + 8 = 0, -h + 1 = -4*v - 0*h. Let a be (-98)\/(-4)*(-2)\/v. Suppose 7*x - 28 = 3*x. What is the greatest common factor of x and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 7:38 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*l = -19, 5*h - 13 - 9 = -2*l. Let q = h - -3. Solve 0*r + q*r**3 + 3*r - 11*r**3 + r = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/99 - (-57)\/(-11). Suppose -5*z - 5*n = -0*z - 5, 2*n = -3*z + 7. Which is the closest to 2\/3? (a) z (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/17 (b) -4 (c) -2 (d) 0.021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -d - 2*v, 8*d + 4*v + 16 = 4*d. Let y be d + -4 + (-17)\/(-5). Which is the biggest value? (a) -3 (b) 0.05 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**2 + 12*s + 60. What is the remainder when 251 is divided by i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143317 is divided by 1861?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -20*k - 4. Let l be s(-2). Suppose 2*p = -4*n + 48, 2*n - 5*n + 3*p = -l. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -1, -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 7) in base 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 14*n**2. Let d(t) = -2*t - 3. Let z(m) = 6*m + 10. Let s(f) = 10*d(f) + 3*z(f). Calculate c(s(w)).\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -200\/7 - 4\/7*v**2 - 108\/7*v.\nAnswer: -4*(v + 2)*(v + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 g, and 1 x when three letters picked without replacement from {g: 2, c: 4, j: 2, x: 3, p: 3, d: 1}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6720, -13262, -19806, -26352, -32900, -39450, -46002?\n\"Answer: -h**2 - 6539*h - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(4\/13)))\/g)\/(g\/(g*g\/g**(-30)*g))*g\/(g*g*g**(-6)\/g)*g\/(g*g*g\/(g*g**(-12)*g)) assuming g is positive.\nAnswer: g**(321\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*u**3 + 146815 - 146772 + 709*u**3 - 362*u**3.\nAnswer: -2*u**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least 420941.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/10042716 and 47\/1181496.\nAnswer: 20085432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.18? (a) -0.5 (b) 1\/5 (c) 3259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1762, 14079, 47506, 112597, 219906, 379987?\nAnswer: 603394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89.09 - -89. What is the second biggest value in a, -2\/3, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 46 + 2. Let x = m - 5. Let g = -4 + x. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-42)\/(-3))\/112*16\/28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2. Let o(f) be the third derivative of 0*f + 0*f**3 + 0 - 1\/12*f**4 + 5*f**2. What is o(l(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*z**2 - 128*j**2*z - j**2 + 2*j*z - 73*j + 328718614*z**2 + z - 95 wrt z.\nAnswer: -2*j**2 + 657437228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 - 18.89. Let j = 24 + x. What is the biggest value in j, 0.4, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7052186816 to the power of 1\/2, to the nearest integer?\nAnswer: 83977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*n - 14*n - 17 + 27 + 21 wrt n?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*n - 10, u - n + 12 = 2. Let x = -5 + 5. Suppose -3*r - 4*l + l - 36 = x, 5*r + l + 40 = 0. Is u != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (134\/(-12))\/(18\/36). Let r = 2485\/111 + j. Sort 0, -4, r in descending order.\nAnswer: r, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5475 + 87647\/16. Let z = -140 - -137. Find the common denominator of ((-464)\/40 + z)*(-10)\/(-16) and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/120*(20 + -23)*16.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - f**3 + f**2)*(6 - 4 - 3) - 2*f + 2*f**3 + 2*f - 3*f**3 - 2*f**3 + 0*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (-14 - -46 - -17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -0.09705063045419.\nAnswer: 4.90294936954581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -18722.692.\nAnswer: -56168.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r - 9. Let p be (-1 - 4) + 10 + 15. Suppose -p*c + 25*c - 120 = 0. Calculate the highest common factor of c and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8036*v. Let y(k) = -47*k. What is -2*l(d) - 343*y(d)?\nAnswer: 49*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22712 divided by -2839\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*r - m - 31 = -111*r, -5*m - 100 = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 5. Let t(d) be the third derivative of -d**4\/24 + d**3\/6 - 37*d**2. Determine -t(a) - z(a).\nAnswer: -a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 476, 729, 998, 1289, 1608, 1961, 2354?\nAnswer: 2793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 14*v**2 - 14*v - 18. Determine r(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s - 5*p + 26, 4*s = -p + 16. Suppose -4*n + 28 = -0*n - s*d, 40 = 5*n - 5*d. Calculate the remainder when 11 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303 = -76*s + 153 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -7 + -6 - -3. Let t(x) = -2488*x - 7. Let i be t(b). Suppose -i = -3*y + 46491. What is y rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17960 * 1.86.\nAnswer: 33405.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-2 - -8) + -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -159, -363, -615, -915, -1263, -1659?\n\"Answer: -24*k**2 - 132*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m. Let f(w) = -w - 8. Let o(l) be the first derivative of 6*l - 3*l - 2*l + 24 + 3. Let p(i) = -3*f(i) - 24*o(i). What is p(a(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000220011 (base 3) in base 13?\nAnswer: 8c9c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430 = 83*y - 845. Put -7, y, 26 in ascending order.\nAnswer: -7, y, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 - -117. Suppose -4*f + 90 = -f. Suppose 0 = -v*j + 16 + f. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f - 480 + 480. Let b(g) = 4*g**2. What is p(b(u))?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 81*q**4 - 468*q**3 + 595*q**2 + 468*q - 676 = 0.\nAnswer: -1, 1, 26\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 16 = -12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 40*k - 249. Let c be z(-32). Solve c*n - 15 - 20 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/266 + 6\/57. Let j(n) = -n**2 - 2*n + 3. Let l be j(f). Solve l*u = -2*h, h + 0*h = 3*u - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-4158)*72 - 4\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/((((-308)\/242)\/(-7))\/((-324)\/(-132)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15607 + -15607. Let l = -2 - -5. What is the closest to l in 1, 1\/5, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49464 - 49462. Let w(u) = -u**2 - 6*u + 6. Let j be w(-6). Let q(t) = t**3 - 7*t**2 + 7*t - 3. Let z be q(j). Solve -g - z = l*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.750053 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 22 - 2 = 0. Let n be (o\/8)\/(1\/(-18)). Suppose z = n - 1. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let y = -102992\/1165 - -6\/1165. Let g = y - -88. Is w != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30 - (-4 - -4) - 4. Suppose 5*i - m - 79 = 0. Solve -5*u + i = 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -24. Suppose 0 = 2*o + 4*v + 12, 0 = -5*o + v - 3*v - 14. Is 15 a factor of -2 - g - (-4)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 3*o + 23, 2*t = 3*o - 147 + 136. Let s be (1 - -5)*6\/(-4). Does 3 divide (30\/s + t)*(-45)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -11*s + 37. Solve -s*w + 2*c + 2 = -w, 5*c + 5 = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m*m**(-3))\/(m**(-3\/8)*m*m**(-9)) assuming m is positive.\nAnswer: m**(59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 272299 - -0.5.\nAnswer: 272299.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 + 119. Suppose 27 = p - t - t, -t - k = -p. Calculate the remainder when p is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1382130?\nAnswer: 2, 3, 5, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 80450115 to the power of 1\/3, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 35. Let b be u(28). Solve -2*k + b = -1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.587017632 to 1 dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:39 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 118.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -101\/610 less than or equal to 7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76719 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -26. Let a be (-3)\/((-1)\/(-9 - -3)) - 3. Let j = p - a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5187 + -5185. Let p = -1 - 1. Which is the biggest value? (a) n (b) p (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -261, -1044, -2347, -4170?\n\"Answer: -260*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 534 = v, -2*v + 4*u + 1072 = -0*v. List the prime factors of v.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + h)*(51 - 11 + 22).\nAnswer: 62*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36421 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31188?\nAnswer: 2, 3, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.49 + -1.09. What is the nearest to 0.4 in h, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 90 = -50. What is the highest common divisor of t and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**5 + 118*q**2 + 85*q - 2 wrt q?\nAnswer: -20*q**3 + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 80*h + 5. Determine u(-3).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4255138 is divided by 412.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58461*b + 58461*b - 2*b**2 - 116922*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(76) + 0 + sqrt(19))**2.\nAnswer: -12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*2*1\/(-2). Suppose y*t = t - 64. Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 + 10 - 44*h**2 - 4.\nAnswer: -44*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.76.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 334797 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: Which is the closest to -3? (a) -3.2 (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 + 13427*b**2 + 1286535*b\/2 - 2050659.\nAnswer: (b - 3)*(b + 51)*(b + 26806)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*u = -4*i - 9, -u + 13 = 2*i. Suppose i*z = -z. Factor 0*q**3 + 0 + z*q + 1\/5*q**4 - 1\/5*q**2.\nAnswer: q**2*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*d = -1873 - 12759, -2*j - 4*d + 14624 = 0. Is 73 a factor of (j\/115)\/(4\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162725772899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - (13*6\/(-234))\/((-2)\/(-1051692)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/7*(2584\/19)\/17. Factor 6\/7*x + m*x**2 - 36\/7 - 2\/7*x**3.\nAnswer: -2*(x - 3)**2*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 20 (b) -2 (c) -1\/5 (d) 72 (e) -2\/13 (f) -5 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, n: 9}. Give prob of picking 3 n and 1 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1072, 2172, 3264, 4348, 5424, 6492, 7552?\nAnswer: 8604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-33*a - 89*a - 22*a).\nAnswer: -144*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3858095*o**3 - 228011*o**2 - 4?\nAnswer: 23148570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-2*l + 3*l + l) + (60*l - 27*l - 29*l)*(2 - 3 + 6).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*j = -120*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g - 272*g + g**2 + 0*g**2 - 226 + 230.\nAnswer: g**2 - 315*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3 - 3402*r**2 - 2900193*r - 11546404 = 0.\nAnswer: -1699, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 6*x**2 + 4*x + 3. Let c be k(4). Let a(p) = -63*p + 128. What is the units digit of a(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k + 3. Let z(t) = 13*t + 0*t + 16*t - 15 + t - 9*t. Determine 11*p(i) + 2*z(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154763?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.24 + 0.26. Which is the third biggest value? (a) -0.2 (b) -0.8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35658710 to the power of 1\/2, to the nearest integer?\nAnswer: 5971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 57*m**2 + 494*m + 21123. What is s(-55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -614*t - 23116 = -619*t - m, 18506 = 4*t + 3*m. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17382?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 117617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 take away -1020694115078?\nAnswer: 1020694115143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -434561, -434557, -434551, -434543, -434533?\n\"Answer: k**2 + k - 434563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**15\/(d\/((d*d\/((d*d**(7\/10))\/d*d))\/d*d*d*d)))\/(d**(-2)\/d*d**(13\/3)) assuming d is positive.\nAnswer: d**(449\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 852683.4us in nanoseconds?\nAnswer: 852683400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7*w - 11300. What is the tens digit of w\/25 + 4\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867 + 10833 = 151*g for g.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - z**2 - 4*z - 7. Let d be j(-2). Solve 0 = -3*x + d*s + 10, 2*s - 1 = x - 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k - 5*h - 400 = 0, -2*k + k = -5*k - 4*h - 24 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89246 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*3\/(-2) - -14. Suppose 3 = a - w. Find the second derivative of a*z - 2*z**5 - 18*z**5 - 3*z**5 wrt z.\nAnswer: -460*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3176, 3833, 5628, 9131, 14912, 23541, 35588, 51623?\nAnswer: 72216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-6) + 2 + 2. Suppose 5*n = -7*d + 2*d + 15, -d = 5*n - i. Suppose 0*h + 2*h - 2*m = 156, 0 = d*h + 3*m - 151. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -849*b - 1365*b + 286029 = 2475*b for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110 - 14032*m - 3*m**2 + 14032*m to c*m**2 + f + v*m and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -l + 3*l - 18, 2*d = -3*l + 27. Calculate the remainder when 35 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/7, -12, 2\/3, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97.2 + 81. Let a = -16.245 - p. What is a rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16298 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(7)*3 + sqrt(7) - (2 + sqrt(28)) - 3*-3*sqrt(14)\/sqrt(2)*5)*1)**2.\nAnswer: -658*sqrt(7) + 15512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 y when four letters picked without replacement from rvgyvvyygyg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 2*z + 16. Suppose 0 + 7 = y - 4*v, 4*v - 8 = -z*y. What is the second derivative of -4*p**3 - 2*p - 3*p + p**3 - y*p**3 wrt p?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 142. Is j a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 12321011?\nAnswer: -12320302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*u**3 - 258*u**3 - 200*u**3 - 310*u**3 + 3*u in the form i + s*u**3 + v*u + j*u**2 and give s.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069029468.\nAnswer: 2, 3, 13, 761417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-101 - -49) + 24 - -19.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**4\/60 + 268*t**3\/15 - 35912*t**2\/5 + 236*t - 2. Factor d(l).\nAnswer: -(l - 268)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*y + 87, 294*h + 4*y = 296*h + 70 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmkmkkm?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1390473739 to 4 decimal places.\nAnswer: 0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168567 and 207.\nAnswer: 505701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*i - 9 = -2*r, 2*r = 3*i - 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.113891 + 0.3.\nAnswer: 0.186109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1016 = u + 2*k - 1604, 5*u - 13125 = -5*k. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**5\/5 - 128*d**3\/3 + 5*d**2 + 37*d - 604. Find the second derivative of h(p) wrt p.\nAnswer: 12*p**2 - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 151. Let s be f(0). Let o be s + (-2 - 1*-2). Let n = o - 74. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.4 minus -27137515?\nAnswer: 27137451.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7997381 and 140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 - 57*y**2 - 24*y**2 + 60*y - 62*y.\nAnswer: -74*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from lnzflfllfl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134519531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 388 = -w, 2*w - 4*f - 987 + 281 = 0. Let p = 7625\/21 - w. Which is the nearest to -1\/4? (a) 0 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1611 + -1613. Suppose 120 = 5*n - 6*t + 4*t, 2*n - t = 47. Suppose 3*k - n = -l - 10, 5*l = 20. Sort 1, k, m.\nAnswer: m, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2537 + 2636 + 6862 = -415*b for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -26. Let g = l - 16. Suppose -g*r + 15 = -1. Calculate the smallest common multiple of 22 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-27)\/45 - 166\/(-10)) + (7 - 3). Solve 0 = -p*x + 53 - 213 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -502, -1993, -4466, -7915, -12334, -17717?\n\"Answer: y**3 - 497*y**2 - 7*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -10. What is the third biggest value in 5, n, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((13\/(-52))\/((-2)\/8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Let y be (u - (-2 + -1)) + 0. Suppose 132 = y*f - f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 10) to base 8\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014153531 to 6 decimal places.\nAnswer: 0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -220.99.\nAnswer: 110.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**6\/15 + 3*s**5\/10 - s**4\/6 - s**3 + 2*s**2 - 62*s. Find m, given that u(m) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-5)\/(-10)*-2). Solve d*f - 3*w + 45 = 2*w, 3*f = 2*w - 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 893*o - 91. Let l(i) = i. Give u(l(c)).\nAnswer: -c**2 - 893*c - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199 = -5*l + 395 - 141 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 6*p - 4. Let u be r(-6). Let m = 6 + u. Differentiate m + 0*c - 3 + 2*c with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 1, t: 1, m: 1, s: 2, f: 1}. Give prob of picking 1 f and 2 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75559 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*j + 1 - 14, -3*v = -5*j + 37. Let o be (6 + -7)*(-1 + 1). Suppose -14*h + 17*h = o. Solve h = -a + j*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (708\/(-21))\/((-62)\/651). Solve -383*z = -k*z - 58 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176823850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 2*d = 14*n + 10, 5*d + 5 = -6*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -19*o**2 - 1. Let w be t(1). Let i be (2\/(-1))\/(5\/w). Let c be -3*16*(-16)\/12. What is the highest common factor of i and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 24. Let r(x) be the third derivative of x**4\/8 - 5*x**3\/3 - x**2. What is the remainder when c is divided by r(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3012225 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/3, 0.2, 3, 19 in increasing order.\nAnswer: -22\/3, 0.2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 335107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**6\/120 - 17*c**5\/60 - 13*c**4\/8 + 13*c**3\/3 + 1832*c**2 - 2*c + 1. Give w(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f**2 + 4*f - 46. Let o(d) = -3*d**2 + d - 15. Let l(x) = 7*o(x) - 2*v(x). Calculate l(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*b + 4*k + 6, 2*k = -2*b - 6. What is the smallest value in 5\/2, 1\/4, 44, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00335144713 rounded to 5 dps?\nAnswer: -0.00335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*y = -20, 16*h + 3*y - 12 = 11*h. Solve -2*u + h = -g, 5*u - 5 = 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 4. Suppose 10 - 4 = -3*b. Let x = b - -6. Suppose v - 15 = 3*a - 4*v, -x*v = 4*a - 12. Determine u(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -21\/2. Let t = 0 - 4. Let y = t - -2. What is the second biggest value in a, y, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 8:23 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 231d (base 16) in base 11?\nAnswer: 6832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -285\/7, 4, 3 in descending order.\nAnswer: 4, 3, -285\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/1625? (a) 0.2 (b) -174 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -19*d**3\/3 - 61*d. Let k(s) = 5*s**2. Calculate t(k(h)).\nAnswer: -190*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + c**2)*(-c**2 + c**2 - 10*c**2)*(-2*c + c + 2*c).\nAnswer: -10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2\/4 - 4151*v\/4 + 34518 = 0.\nAnswer: -4184, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -15.2. Let n be (0\/2)\/(0 + -1). Let t = 2 + 1. What is the nearest to n in t, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.124 + 12.124. What is the second biggest value in 0.5, c, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) 1\/3 (c) -5 (d) -1853\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajjjuajasjauj. What is prob of picking 3 a?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 12. Suppose 4*g + 21 = g. Let h be c(g). Suppose 0 = h*y - v - 6, -y - 4*y + 8 = -3*v. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2001*o**2 + 9635*o**2 - 50*o**2 + 9796*o**2.\nAnswer: 21382*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from oyoyoooyyooyyy?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 558633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 509, 685, 861, 1037?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) + (-1 - (-8)\/12). Let n(o) = -4*o**2 - 3*o + 3. Let u(w) = w + 1. Let c(y) = y**2 - y - 3. Let f(b) = -c(b) - 2*u(b). What is j*n(t) + 3*f(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - 4\/((-36)\/405). Suppose -2 = 2*c - 4*n, 7*c - 3*n - 9 = 2*c. Suppose i + 34 = c*i. What is the highest common divisor of i and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 520 = 2*n, 9*o - 7*o = -5*n - 1279. Let z = n - -377. Calculate the greatest common factor of 36 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -12*m - 76. Let t be k(-6). Calculate the remainder when ((-746)\/t + (-1)\/(-2))\/1 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 = -0. Let z(i) = -i**2 - 2*i + 5. Let k be z(c). Let b be (k\/(-2))\/((-27)\/(-18)). Solve -l = q + 2*l + b, 3*q = -5*l - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-396*y**3 + 196*y**3 + 198*y**3 - 421*y**2)*(-10 - 42 + 14 - 49).\nAnswer: 174*y**3 + 36627*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 5, -0.01, -1.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112869407 to the power of 1\/2, to the nearest integer?\nAnswer: 10624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaa when three letters picked without replacement from iaa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1107, 1434, 1761, 2088, 2415?\nAnswer: 2742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c. Let z(l) = -46*l - 248*l + 245*l - 413*l - 411*l. Give f(z(a)).\nAnswer: -873*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 8:31 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -5\/48*g**6 + 21*g**2 - 1\/28*g**7 + 0*g**3 + 5\/12*g**4 + 1\/6*g**5 + 0*g + 0. Solve m(y) = 0 for y.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 28612294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026 = -612*p + 2554 + 14780 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, d: 12}. Give prob of sequence nnd.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15240896 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4590 and 223380.\nAnswer: 670140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 254, 374, 478, 560, 614?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/27 (b) -0.08 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-2)\/4)*(1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*w - 9*w**3 - 66 - 88*w - 27 wrt w?\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.5 in 1, -24, -1.2, -79, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from rrjrjryrrryjjrjrrrjj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 816 and 6375.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28150633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 128, -3, 65?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124 - 123.999933. What is p rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 9. Let f be (2\/9 - 0)*6. What is the closest to -1 in g, -5, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1856, -3600, -5334, -7052, -8748?\nAnswer: -10416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -344523, -344275, -344027?\n\"Answer: 248*u - 344771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 187596821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 6. Suppose 0 = -0*m + 2*m - a. Suppose -561 = -7*o - 512. Solve m*j - o*j - 20 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 + 39*x**2 - 6*x + 144. Let r(u) = -4*u**3 - 56*u**2 + 8*u - 216. Determine -7*k(h) - 5*r(h).\nAnswer: -h**3 + 7*h**2 + 2*h + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*f - 3, -5*f = -3*r + 19 - 8. Let v be (-5505)\/(-15) - 1*r. Suppose 2*d = -3*z + 715, d + z - v = -3*z. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2597.52325 to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5 - -16.5. Let j = 13 - x. Let s = 161 + -166. What is the closest to 0 in j, s, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2362599234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 15. Which is the closest to 1? (a) n (b) -5\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, z: 2, p: 6, h: 1, a: 6}. What is prob of sequence ah?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 2\/5 in decreasing order.\nAnswer: 8, 3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3919 + 3921. Solve 20 = -u*y + 4*x, -3*y - 2*x + 1 = -1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most 32\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149.2 + 149.4. Suppose -132 = 5*f - 2*k + 478, -3*k + 109 = -f. Let w = f + 871\/7. Which is the second smallest value? (a) -1 (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144531133 (base 6) to base 12\nAnswer: -1020aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5596 is divided by 254.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -486 - -490. Suppose p = u - t*u + 17978, 5*p = -2*u + 12007. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/870 and 22\/201405.\nAnswer: 402810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**4\/24 - h**2. Let w(l) = -l**2 - 2*l - 2. Let o(b) = -k(b) - w(b). What is g in o(g) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/72 and -29\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -y + 108 + 22, 5*y + 2*a - 540 = 0. Let o = y + -108. Solve 5*u - 3*j + 6 = 2*u, -5*u = -o*j + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92707451*k**4 - k**2 + 642444545*k wrt k.\nAnswer: 1112489412*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-270)*21\/(-14)*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -107744230 to the nearest one million.\nAnswer: -108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.1 - -28.1. Let u = 13 + w. Which is the nearest to u? (a) 3\/2 (b) 4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000074356772 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4727441 divided by -24751?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose 4*j = 3*p + 2939, -j + g*p + 721 = 5*p. Let c = j - -2669. Round c to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**3 + 3936*i**2 + 7884*i + 3944 = 0.\nAnswer: -1, 986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -7. Let a(b) = -b**2 + 6*b - 6. Let g be a(u). Let r(i) = 3*i**2 - 3*i + 3. Does 3 divide r(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 2.31?\nAnswer: 2.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 346*m + 10. Let d(i) = 26*i - 2. What is y(d(r))?\nAnswer: 676*r**2 + 8892*r - 678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -32. Let i(x) = x**3 + 4*x**2 + 4*x. Let l(u) = -9*u**3 - 33*u**2 - 33*u. Calculate b*l(f) + 33*i(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1764750 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1946, 2026, 2160, 2348, 2590, 2886?\nAnswer: 3236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**46)**46 assuming v is positive.\nAnswer: v**2116","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1391 - 2689. Let j = k + 1298.0001249. What is j rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -222?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(245) + 0)*-3 + ((sqrt(5) - (-2*sqrt(5) + sqrt(5)))*1)**2 + 1.\nAnswer: -21*sqrt(5) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 5*d + 4. Let l be m(-5). Find f, given that -6*f**2 + 4*f**l + 9*f**3 - f - 7*f**4 + f = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(24)\/sqrt(3)) - sqrt(144)\/(sqrt(12)*-2))\/(sqrt(60)\/(sqrt(810)*3 - sqrt(810))).\nAnswer: 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -3. Let f(h) = -3*h**2 - 100*h - 757. Let r be f(-12). Suppose r*y = p*y + 1056. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from pohpwwogwoowpoopog?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 260 from -0.2117.\nAnswer: -260.2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336396 and 9131244.\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -5. Suppose -q*d + 407 = -0*d - 5*l, 4*l - 313 = -3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*p = 0, -3*a - 4*p - 1 + 2 = 0. Suppose -a*x = -2*x - 20. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 31864.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6782869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + 3 + sqrt(17))**2*1.\nAnswer: 32 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.4 (b) 2 (c) 3\/184\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**4\/12 - 2*s - 566. Let f(a) = -1648*a**2. Calculate k(f(r)).\nAnswer: -2715904*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 176.4827 centimeters?\nAnswer: 1764827000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2503 - -2502.7. Let c be (-2)\/7 - 69\/(-21). Suppose 12 = -c*m - 0*m. Is a at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 9*m**2 - 19*m + 9. Let v = -51 - -58. Let j be r(v). Let o = j + 31. Solve 0*i = -o*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 6*k + 5. Let o be h(6). Suppose -2*t + 5*t + o*q = 27, 0 = -t - 4*q + 2. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -2, 1, -2.91?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2.1, -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/8 + -7 + 2)*-2. Solve 0 = w*l + 4 - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 5) to base 4.\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 3715815958403?\nAnswer: 3715815958402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 431028 and 594?\nAnswer: 4741308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412216251.\nAnswer: 3, 9511, 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 25143*a + 326818. Determine j(-13).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 193*s + 2. Let x(a) = -964*a - 10. Determine -16*g(m) - 3*x(m).\nAnswer: -196*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0, 4, 5, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**4\/12 - g**3\/6 + 2*g. Let q(x) = 2*x**2 + 3*x. Suppose -3*u + 10 = 2*u. Let s = 0 + u. Determine s*q(y) + 6*n(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13100 + 13100 + 397*i**3 - 101*i**3.\nAnswer: 296*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 732999299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 73879212 a multiple of 876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 2. Find the second derivative of v + v**f - 2*v + 3*v**2 - 3*v**2 wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeekekkeeeeeekee. What is prob of picking 3 e?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/10 - 4\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2374 - 40*z**2 + 1235 + 1139 + 42*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -196 - -199. Suppose -6*n + w*n + 93 = 0. Calculate the remainder when 86 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is be + -eb85f?\nAnswer: -eb7a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -91\/4. What is the biggest value in -1\/4, -6\/7, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o = -43*o + 53*o + 308. What is the highest common factor of 11770 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 54 = -41*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x**2 - 6*x + 2. Let h(b) = 7*b**3 - 5*b**2 + 1855*b - 10. What is -5*g(m) - h(m)?\nAnswer: -2*m**3 - 1825*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttnx when four letters picked without replacement from iinltnnnijxii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**7\/840 + c**6\/360 + c**5\/120 - c**4\/4 + c**3\/3 + 27. Let b(w) be the third derivative of k(w). Determine b(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 310\/(-80) + 4 - 38\/(-32)*42. Let o be 5\/(-3) - (-3)\/(-9). Let w be o\/(-4) + (-295)\/(-10). What is the highest common factor of w and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - h - 6 = 3*h, 2*f - 5*h + 1 = 0. Suppose 0 = u - f. Solve 4*p = -2*c, 7 = u*c - 7*c - 3*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10320 and 5709540?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 h when three letters picked without replacement from hhhvhhmvhh.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 205*t. Let a(j) = 342*j. Give k(a(b)).\nAnswer: 70110*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -21\/2*w**2 - 215\/4*w**4 + 4\/3*w**3 + 0*w - 226. What is the third derivative of d(x) wrt x?\nAnswer: -1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + (sqrt(300) + (sqrt(300) - ((sqrt(300)*-1 - sqrt(300)) + 0)) - (sqrt(300) + -3*(sqrt(300) - sqrt(300)*1))).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -284?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/5)\/c)\/(c*c\/c**(2\/5)))**(-49))**(-3\/4) assuming c is positive.\nAnswer: c**(-441\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(76) + sqrt(76)*3 + sqrt(76) - sqrt(76)))\/(sqrt(20)\/(sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4) + sqrt(5) + sqrt(5)))).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 299 and 42044?\nAnswer: 546572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + (-35 - 0))*5\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 161.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117788 is divided by 330.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 3*a**2 + a**2)*(4*a + a**2 - 4*a) + 0*a**2 + 2*a**4 + 0*a**2 + (0*a + a - 3*a)*(2*a**2 + 0*a**2 - 3*a**2)*(107*a - 355*a - 95*a).\nAnswer: -682*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135141 or 134967?\nAnswer: 134967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 830396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - s - 22*s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*p**2 + 1287*n**3 + 2*n**2*p*s**3 + 44*p**2*s**3 + 14*p**2 - p*s wrt p.\nAnswer: -4*n**3 + 88*s**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 739.9 + -740.8. What is the second biggest value in -0.5, -2\/7, 0.1, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27016 - -9733. List the prime factors of t.\nAnswer: 36749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z**4 + 7*z**4 + 7*z**5 - 313*z**5 - 166*z**5 + 37*z**5 - 5*z**5 + 0*z**5 + 3*z**5 + (-4*z - 2*z + 5*z)*(-5*z**4 + z**4 + 3*z**4).\nAnswer: -436*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.14, 46, -2\/11, 1\/2, 2, 4\/5 in decreasing order.\nAnswer: 46, 2, 4\/5, 1\/2, -2\/11, -4.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 508 + 2263. Calculate the remainder when w is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148\/814 - (-2)\/(-176)*-9026 - (-1)\/4?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 211 - -49?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5045 - 608. Is 42 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11*s**3 - 1676*s**2 - 4. Let p(y) = -9*y**3 - 1675*y**2 - 3. Determine -5*l(n) + 6*p(n).\nAnswer: n**3 - 1670*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1093 (base 16) to base 15.\nAnswer: -13cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -3 (b) 3 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 1882517?\nAnswer: 1882516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40\/9 in 1, -552, 0.1, -0.5, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p - 99. Let f be w(-25). Let v = 17\/125 - -3\/125. Are v and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 10. Suppose 3*i + 4*v - 18 = 0, 0 = 4*i - v + 2*v - 37. What is the remainder when b(9) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -153 + 1?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1036 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16c9 (base 14) to base 6\nAnswer: 30545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55415354 (base 7) to base 12.\nAnswer: 1724902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1846 + 0.19465. Let j = -0.38 + o. What is j rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -318*i + 82 - 14 + 237 + 2*i**2 + 11 = 0.\nAnswer: 1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 17 - 28. Suppose -13*s - 7*s + 0*s = 0. Suppose s*n - 1 = 4*p + n, -n - 6 = -p. Solve -5*t = -c - p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**6\/40 + 3*q**5\/2 - 221*q**4\/8 + 210*q**3 - 327*q**2 - 4*q - 1. Factor p(g).\nAnswer: -3*(g - 20)*(g - 7)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 2*f**2 - 2*f - 1. Let d be i(-2). Suppose -2*q + q - 2*l = -17, 2*l - 35 = -d*q. Solve -4*a - 5 - 1 = 2*c, -4*a = -c - q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*g**3 + 24 - 27\/2*g**2 + 9*g.\nAnswer: 3*(g - 8)*(g - 2)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007695789 rounded to seven dps?\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000639884264 rounded to 7 decimal places?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2 + 1 - 2*p + 3. Let i(g) = -g + 1. Let c be 1 - (1 + -10)\/(-3). Determine c*x(a) + 3*i(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*r**2 + 2*r**4 + 27*r**2 + 2*r**3 - 3*r**3 in the form d*r + i*r**2 + j + b*r**3 + p*r**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.2122269*0.07\nAnswer: 0.014855883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2996 = 10*y + 4*y. What is the lowest common multiple of 20 and (-5)\/(-4) - y\/(-8)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1988 - -1988.07992. Let y = 0.08 - u. Round y to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-2)*6\/(-8). Let p(i) = -20*i + 3. Let j(y) = y**3 - 3*y**2 - 3*y + 12. What is the remainder when p(n) is divided by j(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1084*b + 1084*b - 35*b**4 + 2*b**4 - 2*b**4 - b**4 - 2*b**4 - 3*b**4 + 3*b**4 + (0*b + 2*b**2 + 0*b)*(3 - 3 - b**2))*(-b - 3 + 3).\nAnswer: 40*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 213\/4. Suppose -31 = 4*p - 35. Which is the nearest to p? (a) 13 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 10*w - 972. Let t(a) = 14*a**2 + 68*a - 131. Calculate the remainder when w is divided by t(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83 - 44.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 103 or 2?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24950 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 746 + -750. Let n = 2 - 1. What is the closest to -1 in -2\/7, z, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92386 (base 12) in base 2?\nAnswer: -101110100010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, m: 11, f: 1, w: 1, d: 2, i: 2}. Give prob of sequence mmfm.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 163*c**2 + 4*c - 193*c**2 + 260*c**2 + 490*c**2 in the form r*c + x + i*c**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 175.87, 3, -2.96.\nAnswer: -7, -2.96, 3, 175.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -19*n**2 - 1695*n - 5. Give s(-89).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13047566 divided by 6523783.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i\/(i\/i**12))\/i*i*i)\/(i\/(i*i**(-2\/17)*i)))**(-19) assuming i is positive.\nAnswer: i**(-5130\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-2 + 2 + 2*k) - 1 + 1 - 2*k - 4*k - k + 3*k - 3088*k + 7305*k - 3363*k - 2.\nAnswer: 846*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -58 - (0 + 1)\/((-83)\/(-913))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.064 or 22.4?\nAnswer: 6.064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (775 - 21*h**2 - 775 + (-4 + 4 - h)*(-2*h + 2 - 2))*(-h - h**2 + h).\nAnswer: 19*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z - 109*z + 348 + 54 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 - (14 + -6 + -15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 271.\nAnswer: 5\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.0321 + 0.0321. Which is the nearest to m? (a) 2\/11 (b) -11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x = 106*x + 35*x + 32*x. Let i be (-1)\/(-2) + (-3)\/(-2). Let r be 1\/(3 + (i - 4)). Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62608727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-4))\/((-4)\/16). Let c(u) = 0 - h*u - 8 - 5*u - 3. Let s(b) = -b - 1. Let z(q) = 2*c(q) - 22*s(q). Let m(g) = 19*g. Calculate z(m(f)).\nAnswer: 38*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 4 + (-90)\/(-5). Let z be ((-2)\/3)\/(o\/(-1998)). Let m = z - 71. Solve 3*c + 9 = 2*f, -m*f - 4*c = -3*c - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**8\/6720 - d**5\/10 - 2*d**2. Let x(h) be the third derivative of v(h). Let j(w) = 2*w**2. What is j(x(a))?\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 309 - 306. Let u be -2 + 2 - 24\/(-8). Let l be u*((-8)\/6 + 0). Put l, y, 5 in decreasing order.\nAnswer: 5, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -8, -2, 33, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 147, 176, 227, 306, 419, 572, 771?\nAnswer: 1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - w - 1. Let t(z) = -35*z**3 - 70*z**2 + 70*z + 70. Suppose j + f = 52 + 27, -5*j + 4*f = -314. What is j*g(i) + t(i)?\nAnswer: -35*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 1*((-84)\/(-4) + 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -364*y**3 + 2*y + 2. What is the units digit of a(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 23*q + 57. Let f be g(26). Sort -1, 0, f in ascending order.\nAnswer: f, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 2. Let i(j) = 21*j - 13. Let m(x) = i(x) - 3*r(x). Differentiate m(z) wrt z.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -62 (b) 0.02 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 29 = 531. Let y(r) = -56*r**3 + r**2 + r. Let k be y(-1). Suppose k = -4*x + f. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from wwhhwwww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/5040406 and 51\/95102.\nAnswer: 5040406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 12, 13, 14, 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 7*d + 5. Let m(c) = -c + 1. Determine -k(o) + 6*m(o).\nAnswer: o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 4*z**3 + z**3)*(89 + 412 + 181)*(-z - z + 3*z).\nAnswer: 2046*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a73249 (base 12) in base 16?\nAnswer: 55d499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -10.3683.\nAnswer: -5.3683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -609 + 608.7. Let c = 80\/3 - 27. Put -1.2, a, c in decreasing order.\nAnswer: a, c, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13157, 26337, 39519, 52703, 65889, 79077, 92267?\n\"Answer: y**2 + 13177*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520541 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.7 - 17.6. Suppose g - 3*g + 2 = 0. Which is the closest to 0.4? (a) v (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d. Let m(p) = -7*p. Let o(l) = -3*m(l) - 5*x(l). Let v(h) = 350*h - 705*h - 98*h**2 + 355*h. What is o(v(k))?\nAnswer: -98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 337716964.\nAnswer: 337716964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123849747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 229796989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcqrqwwcfurf. What is prob of picking 1 q and 1 f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 1. What is the first derivative of 2 + 3 - 6 - 3*l**k + 5*l**2 wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrruru?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 3662.\nAnswer: 25634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 6442128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/156173 or 1?\nAnswer: -7\/156173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-7 + 1 - -6) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 18*i - 5. Calculate f(15).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1022 - -15?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in 3\/2, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42\/5 of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 30 - 6 = 0. Let j(i) = -7*i + 61. What is the remainder when u is divided by j(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 92119.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-7)\/(-3) + 261\/27 + -7. Solve -o + 5*m - 23 + 1 = 0, -r*o = m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.003, 2\/11, 3, -1, -0.06, 1298, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-3 + sqrt(1539))**2*-2 - (5 + sqrt(1539)*4))*-6)*-2.\nAnswer: -37206 + 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -54622399 >= -54622397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1224332 (base 6) to base 14\nAnswer: -19d96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1376802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -4. Let c = -258054.00176 + 258072. Let t = c + a. What is t rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 8. Let h = -0.2 + 0.2. Let s = -0.2 + h. Which is the closest to s? (a) k (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28380 - 28381. Which is the closest to 0.1? (a) w (b) 0.4 (c) -3 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405\/(-180)*3\/36*2\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53971*109.\nAnswer: 5882839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*-5*-1)\/(sqrt(768)*4*-6).\nAnswer: -5*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85895979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l. Let n(q) = 3*q + 24190. What is n(u(x))?\nAnswer: 18*x + 24190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 17*c - 18*c = 4, 10 = 3*b - 5*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by 2\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 18163750?\nAnswer: 217965000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*z - 9*z + 37*z to the form w*z + i and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 7*s**2 + 3*s**2 + (4 - 4 - s)*((-3 + 0 + 1)*(-7 + 7 + 3*s) + s + 3*s - 3*s) in the form v + n*s + z*s**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1*2 - 45\/21). Is -26 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -844 and -847 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-85)\/(-102) + 79887\/(-10080) + (8 - 1) and -143\/672?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from ppitooqiiiotqipio.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and -41.\nAnswer: 73.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109 (base 11) to base 7.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, m: 2, r: 1}. Give prob of sequence mdm.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 9:11 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1080 and 977880?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 2. Suppose 5 = 3*u + 4*v - 17, -2*v = -u + 14. Suppose 0 = q - 4*z + u, -3 = -5*q - 4*z - 5. Put -4, q, s in ascending order.\nAnswer: s, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -5*q - 3*p, -1300*p - 26 = 4*q - 1298*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3570 and 170?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/10*9*(-7)\/(-630).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 39.19726 times 12\nAnswer: 470.36712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from nnnnknnnnnknn?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15436 + 92617\/6. Which is the nearest to 1\/6? (a) 54 (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2625522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2 + 91*g + 0*g**2 - 109*g wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 635*k**2 - 635*k**2 + k**3 + 8*k as d*k + v*k**2 + z + f*k**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 553527875 and 250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174479178091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34\/73 + 277\/438. Which is the smallest value? (a) y (b) 0.06 (c) -25 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 29.6.\nAnswer: 31.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16013895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 60 = -4*i, 2*q + 6*i - 24 = 2*i. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1050, 1933, 2816, 3699?\n\"Answer: 883*w + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1266734, -1266755, -1266776, -1266797, -1266818, -1266839?\nAnswer: -1266860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3. Let y(k) = k + 9. Let b(v) = -3*r(v) + y(v). Let c(z) = 15*z. Calculate b(c(n)).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4017*u**2 + 729*u**4 - 2 + 12043*u**2 - 2*u**3 - 4016*u**2 - 4018*u**2 to the form j*u + b*u**4 + y + v*u**3 + q*u**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 11*w**2 - 6*w - 3. Is p(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (6 - (9 + -2 + -3) - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 962824 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/87 and (-64)\/(-96)*86\/10.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 1. Let u be d(3). Let t = 2 - u. Suppose 0 = -5*l - 2*b + b + 42, t = -5*l + 2*b + 51. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 r, and 1 p when three letters picked without replacement from {p: 3, r: 2, o: 2, s: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.365 + -8.365. What is the closest to 1\/4 in 2\/9, -0.2, q, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 54*v**3 - v + 1. Let h be b(1). Let r be h\/15 - 4\/(-10). Suppose r*q - 114 = -f + 3*f, -61 = -2*q + 5*f. Solve -q + 8 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 - 3*r + 2. Calculate n(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -210996*y**4 + 134*y**3 - 101141071*y.\nAnswer: -2531952*y**2 + 804*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -b45b (base 13) in base 2?\nAnswer: -110000101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w - 10. Let j(f) = -f + 1. Let n = -4 + 12. Let h = -6 + n. Give h*x(v) + 18*j(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5728912, -5728915, -5728920, -5728927, -5728936, -5728947, -5728960?\nAnswer: -5728975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5985 + 5982. Let w = 38 - 75\/2. Let q = -9.1 + -1.9. Sort w, q, v, 3\/4 in decreasing order.\nAnswer: 3\/4, w, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 52, 19, -38, -119, -224?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/83, -0.3, -0.4?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-42))\/2*30555\/(-1746).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 910, 1384, 1852, 2314, 2770, 3220?\nAnswer: 3664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95651 - -95650. Let l(t) = -7*t**2 + 1. Let x be l(-1). Suppose -i = 2*i - 15. What is the nearest to -2\/7 in a, x, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 28 = -4*d, 0 = 45*d - 41*d - 3*q - 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 993*g = -1536*g - 1527*g - 425880 for g.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/1 - -5) + -1. Suppose -3*d = -s*d. Suppose -u + 5*p + 74 = 0, -3*u + d*p + 248 = -2*p. Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*v - 16. Suppose -70*d + 30*d = -160. Solve 4*l - d = v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 15) in base 4?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - q**2 - 5*q + 5. Let u(r) = -r**3 - 2*r**2 - 5*r + 5. Let z(p) = 5*g(p) - 4*u(p). Let j be z(2). Let a = 0.7 - -0.3. Which is smaller: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -23, -27, -27?\n\"Answer: 2*k**2 - 14*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + sqrt(8)\/sqrt(4) + sqrt(2) + -5)**2.\nAnswer: -20*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -23, 4, 2732, 5 in descending order.\nAnswer: 2732, 5, 4, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-28\/9)*v)\/(v*v**(-2\/37)) assuming v is positive.\nAnswer: v**(1387\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 101. Let k = 2 - u. Let s = -49 + k. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 233 + -213. List the prime factors of -1 - (l*-1 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22428, 89700, 201816, 358776, 560580, 807228, 1098720?\nAnswer: 1435056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)\/(i**(3\/10)\/i*i))**(-1\/21)\/((i\/(i*i**(-2\/5)))**(-20)*(i**(-1))**(-33)) assuming i is positive.\nAnswer: i**(-10499\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 - 5*w - 1. Let b be j(-2). Suppose -3*m - v = -b, m - 8 = -4*v + 3. Calculate the remainder when 17 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8376048 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3169 is divided by 532?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/2*8\/21*5784\/(-3856).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(1\/8))\/(w*(w*w*((w**7*w*w)\/w)\/w)\/w))\/((w*w**3*w)\/w*w)**(26\/5))**21 assuming w is positive.\nAnswer: w**(-5733\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -27*b - 188. Let f be t(-7). Is 45 a factor of 259575\/275 + (-2)\/(-22) + f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 9 = -4*a, v = 5*a - 0*v - 14. Suppose -5*u + 3*x = 4*x - 225, -2*x = a*u - 142. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r. Let q be (r\/(-1) - 2) + 5. Suppose -q*z + 4*i - 9 + 25 = 0, -5*z + 19 = i. Sort 0, -4, z in descending order.\nAnswer: z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 6*c = 71244. Let t = -3243 + c. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2450) + sqrt(50) + sqrt(1800)*-3)**2.\nAnswer: -100*sqrt(2) + 5001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 0*l + l)*((0 + 3 - 6)*(2 + 0 + 0) - 6 + 1 + 2)*(-9 + 8 + l - 30) to the form h*l + r + c*l**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -108. Let j(n) be the first derivative of 0*n**d + 0*n**4 + 2\/5*n**5 + 0*n + 5 + 1\/3*n**3. Find the third derivative of j(t) wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -14*p + 42 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 171*v**2 - 3*v + 171.\nAnswer: 3*(v - 57)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154442*i + 154446*i = -u + 39, 4*u + i = 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 0*z + 0*z**5 - 1\/6*z**3 - 1\/24*z**6 + 0 + 0*z**4 + 28*z**2. What is the first derivative of w(b) wrt b?\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15247750 is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {e: 3, q: 5, v: 1, c: 4, h: 5, p: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -15*o + 1. Let y(c) = -134*c + 9. Let h(i) = -18*t(i) + 2*y(i). Let d(m) = 3*m**2 + 21*m**2 + 27*m**2. Calculate d(h(j)).\nAnswer: 204*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(2299) + 1)*-5 - sqrt(2299))*-5 + -3 + 3 + ((-2 + sqrt(171) - sqrt(171))*-2 - sqrt(171)))**2.\nAnswer: 155946*sqrt(19) + 18515452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180896465?\nAnswer: 5, 331, 109303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2520*u + 14182*u - 6954*u + 29536*u.\nAnswer: 34244*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011 at most as big as 2010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48, 45, 42, 39?\n\"Answer: -3*j + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1814.2 and 5.\nAnswer: 9071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 105371771 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -29*g**3 + g**2. Suppose 4*i = 2*d + 6, 4*i - d = 3*d + 8. Let f be (0 + i)*(-6 - -5). Does 11 divide a(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**2 + 2*z - 51. Let p be n(0). Let q = 221 + p. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - 7*a**3 + 0*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2474 - 3719 + 913 = -220*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p*p*p*p*(p*p*p**(2\/21))\/p))\/(p\/(p*p**(4\/7))*p*p)*p**6\/p**4 assuming p is positive.\nAnswer: p**(-116\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -166716 divided by 396\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101 (base 3) to base 6.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -1\/12*i**4 + 0*i**2 + 0*i**3 - 3\/20*i**5 + 0 - 2*i. What is the third derivative of x(v) wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 + -130. What are the prime factors of (-2893)\/(-15) + w\/(-330)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -264, -901, -2136, -4167?\nAnswer: -7192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d + 3. Let s(i) = 5*i - 2. Let a(v) = 2*q(v) + 3*s(v). Let t(y) = -2*y**2 - 203*y + 102*y + 104*y. What is t(a(f))?\nAnswer: -50*f**2 + 15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in 1.073, -89, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(-6 + 3 - 3*w + 1 + (3 - 3 + w)*(-54 - 18 + 4) + 3*w + 3*w - w) to o*w + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.0255 - 1095.5225. Let m = 1075 + w. What is m rounded to 2 dps?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of c**5\/20 - 2*c**4\/3 + 7*c**3\/6 + 11*c**2\/2 + 26*c + 16. Calculate k(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 178?\nAnswer: 71.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/15*6\/20*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21627 and 3159.\nAnswer: 281151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1474, 2751, 4032, 5317, 6606, 7899?\n\"Answer: 2*k**2 + 1271*k + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1242360 divided by -315.\nAnswer: 3944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {r: 2, w: 4, e: 3}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (26\/(-14) - -1)\/((-6)\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-16)*((-20)\/8)\/5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 16*k**3. Let y(s) = -4*s**2 + 2*s**3 + 5*s**2 + s - 4*s**2 + 10 + 21*s**2. Let o be y(-9). Give h(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -92836, -92834, -92832, -92830, -92828?\n\"Answer: 2*r - 92838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 6, q: 3, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 11447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -3 - -1) + -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91684463 a multiple of 3417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 7, b: 5}. Give prob of sequence nba.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - ((-676)\/8 + -2). Let j = 86 - d. Solve -3\/2 + 3\/2*q**3 + j*q**2 - 3\/2*q = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 439?\nAnswer: 45656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*r - 97, -5*r + 20*q + 161 = 12*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6084\/104*40\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 6 = -4*p - k, -2*p = -k - 8. Let f be (p + -2)*(-777)\/(-28). Suppose 121 + f = 2*n. What is the greatest common divisor of n and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4405*o = 4469*o + 3392 for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-5))\/(23\/112470). Suppose -i = -7*p - 5*p. What are the prime factors of p?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 18*q**2 - 39*q + 20. Let n be h(-20). Suppose -3*p + n*s + 4*s - 20 = 0, 5*s - 18 = 2*p. Does 35 divide -3 + p\/(-18) + 9924\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 7*w**2 + w. Suppose 5*c + 294 = -37*c. Give i(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Evaluate (-11)\/121*2079\/(-42).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 0 + 1\/12*a**4 + 3\/2*a**2 - a + 1\/3*a**3 + 1\/20*a**5. Let s be i(3). Calculate the highest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 7*q - 181. What is the remainder when q is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -2 (c) 2.6 (d) -4 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03886 - 0.05886. What is the closest to -6 in -0.1, 4, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.343 and 47.\nAnswer: -16.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 0. Let f be r + (-3)\/(-9) + 0. Let l = 2 - -2. Put l, -2\/3, f in ascending order.\nAnswer: -2\/3, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6995081 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180128 or -180129?\nAnswer: -180129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -1. Let r = s - 5. Let q(o) = o**2 - 2*o + 2. What is the units digit of q(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 + 4 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 658*u - 916*u - 1041*u + 169*u - 865*u.\nAnswer: -1995*u + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1*(5 - -1). Let i = 5\/4 + -7\/12. Which is the smallest value? (a) p (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 - 39*c + 55. Is w(39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 4, b: 2, p: 1, r: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 4*l**2 - 3*l + 4. Let b(r) = r**2 - 6*r - 243. Let y be b(-13). Give s(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-18 + 2) - -2 - 5) + -5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + 4\/16. Suppose 5*z - z - t + 4 = 0, -12 = 4*z + t. Sort i, -3, z in descending order.\nAnswer: i, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24129 and 19026.\nAnswer: 7286958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v - 7. Let o be b(3). Solve 5*t - 7 + o = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3 + k**3 + 4*k**2 - 7*k**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2878414 by -205601.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7.8 times -3186\nAnswer: 24850.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -337822*w**2 - 308197 wrt w?\nAnswer: -675644*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 1, 2*r - 274 = m - 285. Calculate the lowest common multiple of 363 and m.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 2. Let q(m) = 2*m - 2. Let s(l) = -l. Let h be s(6). Let p be (-18)\/h + 2*1. Let g = 162 + -166. Determine g*q(a) + p*u(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 7*r**2 - 5*r + 3. Let o(c) = -c. Let m be o(-3). Let d(g) = -8*g**2 - 31*g**2 - 21*g**2 + 5 - 4*g**3 + 73*g**2 - 9*g. Give m*d(h) - 5*b(h).\nAnswer: -2*h**3 + 4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9214 divided by 2.\nAnswer: -4607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 3*y + 2. Let i be s(2). Let b(h) = h**2 + 8*h + 5. Let a be b(-8). Find the third derivative of -34*d**2 - i*d**a + 25*d**2 + d**5 wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Suppose 4*a = 3*c - 47, 2*a + 35 = 2*c + q. Solve -3*j + 18 = 5*k, 4*k + 3*j = -2*j + c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*(-1)\/(4\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-6)*(-16)\/(-10). Let t be h + ((-14)\/(-21))\/((-4)\/18). Let s = 1 + 10. Solve t = 2*z + s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 + 10170320*x\/11 + 12929426112800\/11.\nAnswer: 2*(x + 2542580)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17597\/204 + 1431\/17. What is the common denominator of 83\/1074 and g?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 17. Let a be q(-7). Let m be (-3 - 0) + (-15309)\/a. Round m to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425554431 (base 6) to base 7.\nAnswer: 121145665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295879499 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 32 = -p - 0*q, -4*p + 233 = 5*q. Suppose -3*y + 0*y = -33. Calculate the remainder when p is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 45\/2 of a kilogram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 6*i**2 - 3*i - 3. Let v be y(6). Let p be (-2)\/(-6) - (-26719)\/v. Let m = p - -5141\/4. What is the common denominator of m and 67\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + sqrt(2000) + 0)**2.\nAnswer: -320*sqrt(5) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -f + 10 + 5, -4*f + p = -5. Let k be 4 + (-4 - f) - -3. Solve k*b - i - 5 = 0, -3*b - 5*i + 24 + 5 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 8*p + 2. Suppose -9*i - 5*i - 1344 = 0. Let o = i + 88. Give v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 10*z**2 + 84*z - 164185. What is o(124)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a2 (base 14) to base 8.\nAnswer: -1636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-396)\/(-20) + (-1)\/(-5). Suppose 4*w - i + 6 = -3*l, w - 2 = 0. Solve l*u + u = 3*m + 15, 3*m - 5*u = -25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2 + 109*c - 214. Determine i(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*x + 8. Suppose -x*h + 5 = l + 4, -3*l + 2*h = -11. Calculate the remainder when (363\/1573)\/(1\/13) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 3, o: 2, e: 4, k: 1, i: 1}. Give prob of picking 1 z and 1 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112376 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*j - 3*l, 7*l - 10 = -2*j + 2*l. Suppose -2*u + j*f - 12 = 0, 11 = 4*u + 3*f - 17. Solve -m - u = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -4 - -10 - 5 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 - 12)*-351*(-2)\/(-1). Suppose 10126 = 14*a + h. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 1. Let b(p) = -p**3 + 6*p**2 - 5*p - 1. Let f be b(5). Let i(q) = 3*q + 1. Let s(a) = f*i(a) - 2*u(a). Differentiate s(j) wrt j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -254, -536, -1002, -1712?\nAnswer: -2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 49*n + 4. Let m(q) = 50*q + 5. Let f(p) = -6*b(p) + 5*m(p). Let w = -12 + 10. Is f(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 4 (b) -0.6 (c) -4 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, f: 2, t: 2, l: 6, c: 3}. Give prob of sequence lcj.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -321*f**5 - 381*f**2 wrt f.\nAnswer: -19260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11*u**2. Let m(f) = -11*f**2. Suppose -2*i + 61 = 57. Suppose 5*d + 19 = i*a, 4*a = -3*d + a - 3. What is d*m(n) - 4*t(n)?\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, d: 1, e: 3, v: 1}. What is prob of picking 2 e and 1 d?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q - 527 = -48*q. Solve 0 = 4*c + q - 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 3\/5 (c) -2 (d) 0.03281 (e) -3 (f) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 853.8 - 856.8. What is the nearest to 7\/2 in -2\/11, j, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24520*r**3*s*y**3 - 3*r**3*y**3 + r**3 + 128*r*s*y**3 + 91*r*y**2 - 9005*y**3 + y**2 wrt s.\nAnswer: -24520*r**3*y**3 + 128*r*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 14*l**2 - 25*l - 11. Calculate b(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1202601 months to centuries.\nAnswer: 0.00010021675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -54. Let b = l + -16. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1035 = -2*p + 11*p. Let b be ((-8)\/6 + 0)*-129. Let t = b - p. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2160\/13 - 31438\/195. Let h = 1429\/3 - 467. Find the common denominator of h and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhihhhihh. What is prob of sequence hii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 5\/252?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/9 + 2050\/825?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/57919449?\nAnswer: -2\/57919449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + ((sqrt(210) - sqrt(210)*1) + sqrt(210) + sqrt(210))\/sqrt(7) + sqrt(30) - sqrt(30)) + sqrt(30))\/sqrt(10).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 + 98 = -2*g + 4*u, -5*g + 5*u + 20 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163417.\nAnswer: 163417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 612, 1291, 2126, 3195, 4576, 6347?\nAnswer: 8586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14209, -28419, -42629?\n\"Answer: -14210*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 467 + 240. What is the highest common divisor of 49 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**2 + 1512 - 3*i - 3039 + 1524 in the form b*i + y*i**2 + u and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5*-14.857\nAnswer: -74.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-2*(-1)\/(-54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*z + 1502, z + 5*p + 486 = 7*p. Let v = 506 + z. What is the smallest common multiple of v and 314?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) 2.38 (c) -11 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express -13*y + 9*y**3 - 2 - 7*y**3 - 2*y**2 - 10 - 15 + 8 as h + i*y**3 + k*y**2 + n*y and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 4*i + 40 = -10*d, -i + 28 = 3*d. Let l(a) = 7*a**3 - 10*a**2 + 3*a - 17. Is l(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146442\/11 - -13313. Let s = 0.13 + -5.13. Which is the fourth smallest value? (a) 0.3 (b) s (c) 4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/(-21) - 1)\/1 and -33\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*x = -45*x - 24. Let p be 4\/(-32) - 1538\/(-16). Calculate the greatest common divisor of p and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, -5, -1 in decreasing order.\nAnswer: 4, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4 - 1 - 5*x + 0 - x**2. Let v(o) = o**2 + 9*o + 14. Let g be v(-4). Determine h(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f - 2*o, -2*f + 5 = o - 5. Solve 1 = w + 3*t, 7 = -f*w + 2*t - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 2 + 17 + -10 + -4?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*w - 52240 - 26697, -3*m = -5*w - 78916. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1552 - 1546. What is the least common multiple of t and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - -7. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822631969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 330 = -5*d, 6 = 2*o + 8. Which is bigger: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3667 + -3659 + 32 + 1?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 2*c**2 + 2*c - 2. Let v be ((-4)\/(3 - 2))\/(-2). Suppose -v*b = 3*b + 15. Is h(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326, -314, -296, -272, -242, -206, -164?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = o + 2*p, -5*p - 15 = 2*o + 3*o. Let b be (o - 5\/(-10))\/(6\/(-16)). Let c be 1\/(41\/10 + b). Calculate the greatest common factor of c and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(343) + -1 + sqrt(343))**2*2.\nAnswer: -56*sqrt(7) + 2746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -176*s + 50344. What is i(286)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126485 + -43?\nAnswer: -126538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18309 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 169\/(-143) - (-2 - -2 - 1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -34.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134.01 + -134. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/1*264\/(-220)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 555845 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/24 and 115\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 23*i + 27*i = 4, 4*l = -2*i - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) - sqrt(78)*-3)*3) + (-6*(sqrt(78) + sqrt(78)*-3 + sqrt(78)) - sqrt(78)))\/(sqrt(540)\/(-2*sqrt(250))).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/3)\/1)\/(8\/(-112))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251282.\nAnswer: 2, 125641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 3:57 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24248 - 2563?\nAnswer: 21575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/285*36\/(-33)*-1.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 + -78. Let i be 2 - 3\/y*-4. Suppose 0*w - w + 2*u = 5, 2*u - i = 0. Let j(p) = -16*p. Determine j(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eieeeieeeieiieiiiei. What is prob of picking 1 i and 2 e?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -134, -280, -436, -596, -754, -904?\n\"Answer: g**3 - 11*g**2 - 120*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 949*z + 156. What is the units digit of s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3\/2 + 3*q**2 - 15*q\/2 - 50 = 0.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p = c + 44, -3*p = 3*c + 66. Let i = -26 - p. Let u(t) = t**3 + 7*t**2 + 8*t - 4. Is 12 a factor of u(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.54280557 - -1147.\nAnswer: 1146.45719443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 913297 - 33*s**3 + 15*s**3 - 913297.\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -203*g**2 + 15*g - 37. Let r(u) = 204*u**2 - 12*u + 36. Let d(k) = -5*r(k) - 4*v(k). Let j(b) = 32*b**2 + 5. Give 5*d(a) + 32*j(a).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -88, -75, -1, 8, 0 in descending order.\nAnswer: 8, 0, -1, -5, -75, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i - 44. Determine p(7).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 3:44 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 12 = -4*a, 2*l + 3*a = 10 + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20768?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1\/6, -2\/7, -7\/29, -13, 3\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-18 + (-9 - -15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 + 14*q + 7. Let l(c) = -c**3. Let h(a) = l(a) + s(a). Determine h(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13808724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1041 and 6?\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 788146\/6 + (560\/(-42))\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37\/3*h**2 - 4*h - 5*h**4 - 1\/3*h**5 + 0 - 13*h**3.\nAnswer: -h*(h + 1)**3*(h + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 4. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/345 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2375?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49188 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 117 = -3*n, -2*n - 2*y + 116 = n. Suppose a = -22 + n. Suppose 0 = 4*u + 4 - a. Calculate the smallest common multiple of u and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j**5 + 102252*j**4 + 5611869*j**3 + 54818772*j**2 + 140147460*j - 53015904 = 0. Calculate j.\nAnswer: -43, -6, 1\/3, 11416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -21\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -397.\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3941 + 3943. Solve 3*l - 9 = 5*o + 7, -j*o - 6 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n**2 - 3*n + 3. Let k(v) = v**2 - v + 1. Give k(o) - q(o).\nAnswer: 8*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 10. Let i = -20 - -21. What is the highest common factor of i and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00430861 rounded to four dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 52\/16)*(-4)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 k when three letters picked without replacement from {k: 8, o: 8, l: 4}?\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q + 2*q**2 + 32*q - 55*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 281595 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4189*l + 2184 = -4033*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(44)\/sqrt(4)*3)*1)\/(sqrt(45)\/sqrt(5)*6 + sqrt(729)*-1).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -36. Let y = -28 + q. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117 - -584\/5. Let q = -3 - -3. Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/((-13)\/(((-9)\/(-12))\/(243\/162)))?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (120\/(-25))\/((-10)\/100). What is the greatest common factor of 336 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 87, 128, 187, 258, 335?\n\"Answer: -z**3 + 15*z**2 + 3*z + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86\/3 + 28. Let c(x) be the third derivative of -x**4\/24 - 7*x**3\/6 + 2*x**2. Let s be c(-5). Is s at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 27*u + 71. Calculate q(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000794914 rounded to seven decimal places?\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2326, -2, 167.\nAnswer: -2, -0.2326, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 330449600 to the nearest one million.\nAnswer: 330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*v**2 - 17*v**2 + 5*v**2 + 9)*(-61 + 86 + 64)*(-2*v**2 + 5*v**2 - v**2) to the form m*v**2 + j*v**3 + d + a*v + o*v**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -9.8. Suppose -3*v - 2*n = -2 + 16, -n = 5*v + 21. Put -2\/11, f, -0.2, v in increasing order.\nAnswer: v, -0.2, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1886\/21 - -624\/7. Let j = -3 + 3.3. Sort -3, j, o, 2\/9 in descending order.\nAnswer: j, 2\/9, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 755.178 nanograms?\nAnswer: 0.000000000000755178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1160\/45 + 4\/18. Suppose p = 2*p + 5*b - d, -2*p - b + 16 = 0. Find the second derivative of -4*h + 5*h + 2*h - 9*h**3 + p*h wrt h.\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4 - -2)\/((-218)\/41093) and 2262.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x\/((x*x\/(x*x\/(x**(-8)\/x*x*x)))\/x))\/x))\/(x\/(x\/x**11)))\/(x**(2\/7))**(1\/13))**(-17) assuming x is positive.\nAnswer: x**(27880\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, y: 2}. Give prob of picking 4 g.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5 + 204*l**4 - 3452*l**3 + 19236*l**2 + 3456*l - 19440 = 0.\nAnswer: -1, 1, 15, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 8000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162 - 65. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 3*q + 5*o - 58, 3*q - 202 = 5*o. Let b(a) = -17*a - 120. Let c be b(-16). Suppose -q = -x + c. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzhz when four letters picked without replacement from hhhhhhhhhzzhhhhhhzhh?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - 282*p**2 + 578*p - 290. Let u(n) = -5*n**2 + 1. Let a(s) = 2*u(s) + v(s). Factor a(f).\nAnswer: 2*(f - 144)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*n - 95*n + 3401. Calculate the remainder when n is divided by 0 - (-7)\/((-21)\/(-111)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599836864 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 14) to base 6.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 34 = -4. Let k(s) = -8*s + 3 - 4 + 1. Does 24 divide k(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iooi when four letters picked without replacement from {o: 9, i: 5, w: 1, z: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -530?\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/40 and 89\/5527590?\nAnswer: 22110360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79570*d + 5*d**3 + 79570*d - 54 with respect to d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 487 - 443 - 4*m - 5*m wrt m?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 68*l**2 - 1448*l - 1070. Calculate c(22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 268 = -4*q, 0 = -5*q + 3*t + t + 299. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399021187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2087+-0.009066\nAnswer: -0.217766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.7 + -1.7. What is the closest to -2\/5 in -3, p, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/3393 and 8\/44109?\nAnswer: 44109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 8*d - 12. Let n(a) be the third derivative of 0*a + 1\/30*a**5 + 0 + 1\/12*a**4 - a**2 - 2\/3*a**d. Determine g so that n(g) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -73*t + 230. Is 64 a factor of g(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140472565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303773 is divided by 20250.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 3\/4 (c) 0.029 (d) -1\/2 (e) -0.2 (f) -3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2027 - 2022. Solve q + 30 = -o*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40091\/1739 - (-3)\/444*-8?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 n when three letters picked without replacement from bnbnngngv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(sqrt(1700) + -1) + -2.\nAnswer: -8 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g. Let c(q) be the first derivative of -q**3 + 43. Give c(y(d)).\nAnswer: -75*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.39488 and -2.8.\nAnswer: 3.905664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/4 + 3)\/((-18)\/16).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*g + 9*w - 13*w, -2*w = -3*g + 12. What is the closest to -2\/5 in 0.4, 2\/7, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2559 = 5*r - 4130, 0 = 5*l + 3*r - 33423. Is l\/28 + 2\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9405 - -9404.9999982924. Round l to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 10 (b) 0 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 6*u + 5. Let y be s(5). Let x(l) = -l**2 - 75*l - 592. Let h be x(-9). Solve -3*a - 11 = g, a + y*g + 6 = h*g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, k: 6}. Give prob of sequence kk.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24207 divided by 3.\nAnswer: -8069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:27 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*f + 22 = -2*g, 3*g + 5*f = -28. Let p be g\/2*(0 + -2). What is the second derivative of 2*v + 0*v**4 - 1 - v**4 + p wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843799 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026656 to 6 decimal places.\nAnswer: -0.000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvbvb. Give prob of sequence vbv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 89 + r**2 - 9*r + 0*r**2 - 172 + 86. Let f be j(9). Solve f*k + 27 = -d - 4*d, 0 = -5*d - k - 19 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11639857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1570 divide 1165730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -602035631 - -3?\nAnswer: -602035626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 5 in descending order.\nAnswer: 6, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 27*a + 44. Determine b(29).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 131\/2. Suppose 3*d - i*d**2 - 1\/2 = 0. Calculate d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3101300221 (base 4) to base 12.\nAnswer: -355261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*c + 1527 = 311*c + 155. Calculate the remainder when 444 is divided by c.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000107212705 to 6 dps.\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1666?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/3290*(-8 - -1753) - 4238\/99593?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 46\/5 of a millennium?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**4 - 12*u**2 + 956*u?\nAnswer: -12*u**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(112) - (6*(6*sqrt(7))**2 + -1).\nAnswer: -1511 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9289 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**3 + 2*w**3 + 58617*w**4 - 58614*w**4 - 8*w**2 + w**3 - 2*w - 79 to o*w**4 + g*w + c*w**2 + x*w**3 + l and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Suppose 2*t = -c*f + 20, 4*t + 2*f - 56 = -0*t. Suppose l = -l + t. What is the remainder when 23 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -21. Let b = -2827\/1509 + 1110\/503. What is the nearest to -1 in -0.1, 0, b, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -334 - -202. Let l = a - -134. Factor 44\/3*y + 27*y**4 + 4\/3 + 157\/3*y**l + 66*y**3.\nAnswer: (y + 1)**2*(9*y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + 47. Let s = 7 - 2. Suppose -5*f = 4*j - h, -2*f + s*f = -5*j + 54. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32446373 to the power of 1\/2, to the nearest integer?\nAnswer: 5696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*v + 124 = 0, 165 = 5*w - 0*w + 5*v. Let f = -19 + w. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4158320 (base 12) to base 5.\nAnswer: -11122420403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110396219 to the nearest integer?\nAnswer: 10507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.02559368 rounded to three dps?\nAnswer: -6.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52515, 53002, 53805, 54918, 56335?\nAnswer: 58050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -4. Suppose 211 = -5*g - 239. Let s be 4\/18 - 115\/g. Which is the closest to q? (a) s (b) -1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68417 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212023 (base 4) in base 11?\nAnswer: 4a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 1 = 7*o - 2*q, 2*o - 2*q = 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*s + 832 = 0, 4*u + 820 = 3*s - 2*s. Find the common denominator of (1\/2)\/((-12)\/u) and 91\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*k - 5*k = -6, -2 = 2*j + 3*k. Let g = j + 6. Suppose 5 + 0 = g*q - d, 5 = -5*d. Let z(i) = -i + 4. What is z(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3237, 3249, 3267, 3291, 3321?\n\"Answer: 3*n**2 + 3*n + 3231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 36 = -6721*b + 6723*b, -5*b - 8 = -5*n - 18 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 314*u**2\/11 - 624*u\/11 - 8\/11.\nAnswer: 2*(u - 2)*(157*u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39392444 is divided by 192.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (384\/(-84) + 5)*(-4)\/(-6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -4, -1\/6, 28 in descending order.\nAnswer: 28, -0.01, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 736.96 or -775?\nAnswer: 736.96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 2:54 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b - 40. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -162 - -168. Let h = -2 - -1. Let s be ((-3)\/(-9))\/(h\/(-45)). What is the highest common divisor of s and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10444 (base 6) to base 10.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*j - 569, 2*n - 2*j = -5*j + 388. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 77)\/((-1)\/2). Calculate the greatest common factor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2158 - 17*u**2 + 9*u**2 + 7*u**2 - 2211 + 29*u - u**2 as c*u**2 + p + n*u and give p.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -312?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a decade in months?\nAnswer: 1272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a factor of 12693797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2336334, 2336269, 2336202, 2336133?\n\"Answer: -f**2 - 62*f + 2336397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bcd (base 14) in base 12?\nAnswer: -2b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = j - 4*j. Let l(y) = y**2 - 3*y - 2. Let i be l(j). Calculate the remainder when 17 is divided by 11 + i*(1 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*g*i*l**2 + 2*b**2*i*l**2 + 3*b**2*l**3 - 2*b**2*l**2 - b*g*i*l**3 - 9*b*g*i*l**2 - b*l - 154*g*i*l**3 wrt l.\nAnswer: 18*b**2 - 6*b*g*i - 924*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9895 - -9902. Solve 15*c + x = 14*c - n, 0 = -c + 2*x - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14) - 988*36\/(-168). What is the highest common factor of 2279 and q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127 - -637\/5. Let d = 23 - 21. Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 9:00 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c. Let g be (-32)\/30 - 10\/(-25). What is the nearest to g in 3, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 4*a + 4*a**2)*(898 + 2262 + 2237 - 426 - 266).\nAnswer: 18820*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/3)\/(y*y*y**6))**(-41) assuming y is positive.\nAnswer: y**(820\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g*g**(-2\/21))\/g)*g*g\/(g**1*g)*g*g*g**3\/(g*g\/g**(1\/4))*(((g\/((g**(2\/5)*g)\/g))\/g)\/g*g*g)**49*g**(-2\/19)*g\/(g\/g**(3\/5)*g) assuming g is positive.\nAnswer: g**(53051\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -436*j + 922. What is the hundreds digit of b(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5157381124?\nAnswer: 2, 7, 1117, 23557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 3*r**2 + 7*r - 7. Let i = 778 + -748. Calculate the remainder when v(-6) is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27.3 and -95024798.\nAnswer: -95024770.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 35*f**2 + 2*f**3 + f**3 + 15*f - f**3 - 26*f**2 - 58 - 24*f**2. What is d(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -179*x + 196. Let o(q) = -90*q + 97. Let w(d) = -4*c(d) + 7*o(d). Differentiate w(j) wrt j.\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004136673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (200 - 224) + -4 + 65?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 26*z + 21*z - 47*z + 2*z**2. Let n(d) = 140*d**2 - 72*d**2 - 59*d**2. What is n(g(h))?\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/14*-2 - 112\/(-49). Find the common denominator of d\/(-6) - 589\/(-76) and -67\/46.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-32)\/7 + 2. Which is the closest to 1? (a) 2\/7 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 18*a - 12. Let b be l(17). What is the closest to -3 in b, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*f - 8509 - 10146, 31101 = 5*d - f. What is the smallest common multiple of d and 6842?\nAnswer: 68420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56152954 is divided by 20397?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c**3 + 556*c**2 + 8068*c + 10824 = 0. What is c?\nAnswer: -11, -3\/2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -427, -728, -1025, -1312, -1583, -1832?\nAnswer: -2053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -1729 and 528.\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1000111010100 (base 2) to base 5\nAnswer: 121224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001051624 to 5 dps.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -24260*0.8\nAnswer: -19408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 765316?\nAnswer: 19132900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -452390491 * -0.3\nAnswer: 135717147.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -30 + -4 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 32509?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118316818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w - 57. Let k(m) = -m**2 - 4. What is k(l(z))?\nAnswer: -25*z**2 - 570*z - 3253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 249 - 248.88. Let c = 0.02 - a. Sort 2, -119, c in decreasing order.\nAnswer: 2, c, -119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u - 44. Let r = 18 - 0. Suppose 5*h + 49 = 3*l, 2*h - 3*l = -l - r. Is u >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/30*(13 - (11 + -4)))\/((-394912)\/(-3280))?\nAnswer: 2\/301","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4\/5, -3, 3, -404539 in ascending order.\nAnswer: -404539, -3, -4\/5, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeexeeexeeeeeeexeee. What is prob of picking 3 e?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4746013 + 10\nAnswer: 4746023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 38 = -4*r, -4*j - j = -10. What is the remainder when 23 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 0.03 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 + 13*n**2 + 8*n - 12. Let k be h(-3). Let z(u) be the first derivative of k*u**2 + 8*u + 0*u**3 - 7\/4*u**4 - 7. Differentiate z(r) wrt r.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -18562.247\nAnswer: 3712.4494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 3*j = 10, g - 30 = 4*j. Let s be 268\/g - 1 - (-68)\/(-374). Solve -42 - 13 = s*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 43 = 31. Suppose 5*u - 24 = 2*u. Sort 4, u, q in increasing order.\nAnswer: q, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*a**2 + 2735810*a - 338505033?\nAnswer: 12*a + 2735810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -387*g - 53 - 57 + 26 - 165*g. Let n be d(8). What is n rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-7))**(2\/33) assuming f is positive.\nAnswer: f**(16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 392.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3)*3 - -3. Does 4 divide ((-66)\/21)\/(a*2\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -164413, -657654, -1479723, -2630620, -4110345, -5918898?\n\"Answer: -164414*q**2 + q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 2*v - 123. Calculate g(-8).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -25, 0*i - 31 = -3*i + 5*r. Let k be (2 - i - -3) + 2. Find the second derivative of 2*g**2 + g + k - 5 wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2066 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(2\/9)*n)*n\/n**(-3\/7)*n assuming n is positive.\nAnswer: n**(139\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-35) - (-62)\/10. Let d be (w\/(-4))\/(3\/(-6)). Suppose -i + 5*v + 7 = d*v, 4*v = 3*i - 19. Solve -i*x = -5 - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 186 = -3*z, -f - 352 = -5*f + 4*z. Let i be (40\/(-6))\/((-12)\/f). Calculate the highest common divisor of i and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -985*s - 1431. What is the thousands digit of b(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9066513 to the nearest integer?\nAnswer: 3011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46590435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.17 - 0.17. Which is the biggest value? (a) -2 (b) l (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(3)*-6 + 4)*-4.\nAnswer: 48 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31646*h**2*w + h*w - 771*w + 1 wrt h?\nAnswer: -63292*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173697*v**2 + 6*v + 1165?\nAnswer: 347394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -110090 divided by 22018\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 1, y: 1, j: 1, r: 1}. Give prob of sequence jr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1234, 4924, 11080, 19708, 30814, 44404, 60484, 79060?\nAnswer: 100138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5471?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453032227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v**3 + 2*v + 1. Let h be (-2460)\/120 - 6\/4. Let m(s) = -5*s - 1. Let i be m(4). Let r = h - i. Calculate z(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 23.\nAnswer: 29\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.23.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -4\/49 (c) 3 (d) -4 (e) -2\/41 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151466 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:31 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 6247*g\/3 - 8290942\/3.\nAnswer: -(g + 1913)*(g + 4334)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 353 + -487. Let u be p\/190 + 12\/114. Which is the third smallest value? (a) 78 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2192 and 11488?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) 4 (d) 2\/305\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-42) - 922\/126 - (-14)\/2?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91.47 + -7.17. Let h = 84 - s. Let v = -106\/7 + 15. What is the nearest to -0.2 in v, 5, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/((-11)\/(-58296)) + 13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -354 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -4. Let z be (-93)\/(-9) + (-2)\/6. Suppose 0 = b + n - 0*n - z, 0 = -4*n + c. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 28 + 11 = 5*a, -45 = -5*q + 5*a. Let z(s) = s + 2. Let t(y) = 3*y + 7. Give q*z(b) - 4*t(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, 2\/3, 0.01 in descending order.\nAnswer: 2\/3, 0.15, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 5, -3\/5, 1\/19, 0.3, 983 in ascending order.\nAnswer: -3\/5, 1\/19, 1\/5, 0.3, 5, 983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -59*f**3 - 14*f**2 + 6*f - 14. Let a(q) = 20*q**3 + 5*q**2 - 2*q + 5. Let s be 206\/12 - 8\/48. Let i(g) = s*a(g) + 6*v(g). Is i(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 8330904.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 1.7. Which is the nearest to 0? (a) -4 (b) r (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1844, -7431, -16732, -29741, -46452, -66859, -90956, -118737?\nAnswer: -150196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 = -63*c + 27 - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14979 - 115379 = -40*i. List the prime factors of i.\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53968953 is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 179 + 298*w - 362 + 205*w + 180.\nAnswer: -5*w**2 + 503*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1881 and 190?\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -365.85 + 365.8500045059. What is n rounded to seven decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-3))\/(((m*m\/(m\/(m*m**(-2\/17))))\/m)\/m))\/m**(-3\/5))**(-44))**(-43) assuming m is positive.\nAnswer: m**(-206228\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 129713\/22 - 5894. Calculate the common denominator of k and ((-1)\/(-5))\/((-24)\/(-470)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*q - 11, 3*q + 28 = 5*q + 4*k. Suppose 14 = q*c - 6. What is the third derivative of 6*a**3 + 4*a**3 - c*a**3 + a**3 - 4*a**2 wrt a?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32032071.27 rounded to the nearest ten thousand?\nAnswer: 32030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/4*32\/(-56). Suppose p - t = k - 0, 2*k + 8 = 0. Which is the fourth biggest value? (a) p (b) 2 (c) -6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51*-2.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((170 - 2)\/(-3))\/(2 + -4). Suppose 0 = -z + x + 195. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 270 - 2104?\nAnswer: -1614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*(b**(-1\/7)*b)\/b)\/b*b*b**(-4\/15))**(-7\/2))**(1\/6))**38 assuming b is positive.\nAnswer: b**(-589\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guku when four letters picked without replacement from kkkkkkkgkkukkkkku?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 559893 and 579.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 67.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/1219079 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-11 - -2 - -11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -3227266.6\nAnswer: -968179.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/2 - (4\/2 - 1). Is y < 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*1156\/595*(-14)\/(-2). Solve 48*v + 356 = u for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -174, -1364, -4596, -10890, -21266, -36744?\n\"Answer: -170*b**3 - b**2 + 3*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -40 + -22 + 106 + -40\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-15)*20\/8)\/((-3971)\/(-76) + -53)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 s when three letters picked without replacement from uuuuuuuuuuusu.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, -31, 3, 57, 137, 249, 399?\n\"Answer: i**3 + i**2 + 10*i - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*q**2)*(0 + 6 - 4) + (-3*q + 5*q - q)*(361*q + 308*q - 975*q).\nAnswer: -302*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 76359.6 milligrams?\nAnswer: 76359600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -397535\/2 - 212635*u - 325*u**3 - 14190*u**2 - 5\/2*u**4.\nAnswer: -5*(u + 1)*(u + 43)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 94. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5024)\/1256)\/(-4*4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54038, 52226, 50428, 48650, 46898?\n\"Answer: m**3 + m**2 - 1822*m + 55858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/((-15)\/20). Let p = a + 5. Suppose 4*b - p - 37 = 0. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 513219 and 26?\nAnswer: 13343694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2) + 0)**2 + sqrt(4)\/(sqrt(2)*1) + -5.\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53*(-84)\/(-84588)*(4 - 5).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + 4 + (sqrt(200) - (sqrt(200) + (sqrt(200) - -5*(1 + sqrt(200) + sqrt(200))))))**2 + -3.\nAnswer: 880*sqrt(2) + 24213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 3:56 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkxakak. What is prob of picking 2 a and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4965 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-64)\/10)*(15 - 752\/48)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000549347417 rounded to seven dps?\nAnswer: -0.0000549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 106, 439, 998, 1783, 2794?\n\"Answer: 113*k**2 - 6*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*b**3 - 13*b - 36*b**3 - 68*b**3 + 158*b**3.\nAnswer: -3*b**3 - 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.17, -3\/5, 3, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.07 (c) 0.1 (d) 0.2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 262 - 252 = 0. Is v less than -4\/1143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*j - 15*j + 750*j in the form u + z*j and give z.\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1148 = -11*o - 345. What is the second derivative of -o*g**5 - 32*g**5 - 6*g - 11*g**5 + 99*g wrt g?\nAnswer: -2320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*(f**2*f)\/f)\/f))\/f)\/f**(-1\/2)*f**(-2)\/(f**6\/f))\/((f**(-6)*f)\/f**(2\/9))**(-2\/39) assuming f is positive.\nAnswer: f**(-6155\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.011304593 * -0.1\nAnswer: 0.0011304593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 96 = -3*h. Suppose 0 = -7*d + 4*d + h. What is the least common multiple of 50\/6 - 4\/(-6) and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111 + 93 - 163)*(6*x - 3*x - x - 1).\nAnswer: -362*x + 181","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/48 + (1\/(-3) - -1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 15*p**2 - 10*p - 8. Let h be n(-14). Suppose 4*v - h = 2*g, 410 = 5*v + 4*g - 9*g. List the prime factors of v.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -13*w**2 - 475*w + 6900. Calculate c(11).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 69 = -3*r + 6*x, -4*x = -5*r + 112. Suppose -3*f - r = -8*f. Suppose -f*c = 0, -a + 45 = 2*c - 6*c. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/45, 29, 0.04, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -408*h + 402*h - 4*u + 26, 0 = 5*h + 2*u - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13861.9 + -0.9377923.\nAnswer: 13860.9622077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 11. Let b(i) = -2*i - 11. Let m(d) = -5*b(d) - 6*w(d). List the prime factors of m(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/12 - 39\/(-9). Let h(m) = -10*m**3 + 19*m**2 + 25*m + 3. Let c(l) = 7*l**3 - 13*l**2 - 17*l - 2. Let a(k) = 7*c(k) + 5*h(k). Determine a(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-42)\/(48\/(-8)). Calculate the remainder when 1*i\/(-15) + 72338\/70 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 3:50 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 121. List the prime factors of n.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299826354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.026 and -13.9721.\nAnswer: 0.3632746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348*13.\nAnswer: 4524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212400 divided by -14160.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*v + 4*v - d + 29, -4*d + 26 = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 1}. Give prob of picking 1 f and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240 is divided by 131.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvvv when four letters picked without replacement from {q: 5, v: 13}.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2673 + -2484. What is the lowest common multiple of 336 and h?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 plus -493?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)*z*z*z**(2\/13))**(-3\/2)\/((z*z**(-7))\/z**2*z*z*z**(2\/11)\/z*z*z**(1\/2)*z) assuming z is positive.\nAnswer: z**(227\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3302.99 - 10336865?\nAnswer: -10333562.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(2*q - 3 + 3).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4723 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26532748 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 1, -2\/5, 4, -55?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192175332 a multiple of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1656\/(-60) + 21?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - a + 1. Suppose q - 2*q = -22. Let w be q\/6 + (-4)\/6. What are the prime factors of i(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -j, 3*c = 2*c + j. Let a be 77\/(-91) + c\/26. Is a greater than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**2 + 26*c + 49. Is 15 a factor of m(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61017 (base 9) to base 6.\nAnswer: 505411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 - -3)\/8)\/(2\/(-3)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9530 times -0.065\nAnswer: -619.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.13 rounded to zero dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 20 = 0, 15637 = y + u + 5987. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*n - 18 + 17 - 17. Sort 1\/3, 4\/3, 0.05, n in decreasing order.\nAnswer: 4\/3, n, 1\/3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/7)\/((-18)\/126). Let c(j) = 774*j - 774*j + m*j**2. Let f(r) = -17*r. What is f(c(w))?\nAnswer: -68*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11800 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r - 7. Let h(d) = -d - 1. Let j = -4602 - -4600. Determine j*c(v) + 14*h(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(17\/(-102)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-g + 6*g - 2*g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*g - 5993 = 1588 - 484 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-10)*36)\/(11484\/(-153120)))\/(-3)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(-34)*-5*(-10)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1443)\/(-185))\/((-16)\/40)*((-16)\/(-3))\/4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (230\/40)\/23*68\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(sqrt(91) + sqrt(91)*1)*1)\/(-1*sqrt(1008)*6 + (sqrt(1008)*-1*-5 - sqrt(1008))).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 809219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -2. Let x be 1*h*(-6)\/4. Suppose -x*k - 2*k + 22 = -2*l, -3*k + 16 = -4*l. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.843 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(z + 29 - 12 + 21).\nAnswer: 2*z + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 306, 373, 648, 1263, 2350, 4041, 6468, 9763?\n\"Answer: 22*d**3 - 28*d**2 - 3*d + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22+64.64\nAnswer: 86.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12555 + 13025. Solve 0 = 4*i - j - g + 459, -5*j = -i - 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 5*h + 5*h - 2*h + 5*h - 2*h + (1 + 1 - 4)*(-h + 3 - 3) + 2*h + 0*h - 3*h + 70*h + 19*h + 18*h - 278 + 262 + 4*h - 2*h to v + b*h and give b.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/4 - 11001*s\/4.\nAnswer: 3*s*(s - 3667)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 2*j - 2*j - j. Suppose 8 = 5*p - 2. Let h(i) = i - i + i**p. What is m(h(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -1849?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/15*4800\/2240\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4633.8 from -310.8.\nAnswer: 4323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-35) + 3\/(-5). Let r be (-5)\/(c - (-2 + -1)). Put 0, r, -2 in decreasing order.\nAnswer: 0, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19632015 to the nearest integer?\nAnswer: 4431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100.4869 - 13.4199. Let z = -87 + o. Round z to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3\/16, -1351.42, -4?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -38, -75, -132, -209, -306, -423?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -55*v**3 - 10*v**2 + 220*v + 40 = 0?\nAnswer: -2, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/12 - 91\/(-2). Let v = 79 - r. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 0.13, -4\/5, 0.1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4594\/5 - -919. Let h = -51 + 47. Sort 8\/9, -1, h, t in descending order.\nAnswer: 8\/9, t, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403014, -403013, -403012, -403011, -403010?\nAnswer: -403009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {l: 1, b: 1, s: 2, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxkkkxxxxkcxxxuxko. Give prob of picking 1 k and 1 x.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140.1 + -139.1. Which is the nearest to k? (a) -1\/3 (b) 4 (c) 1\/5 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 12 = -5*l, 6*h + 3*l - 4 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(27) - sqrt(3888)) + 1)**2 - sqrt(24)\/(sqrt(8) - -5*sqrt(32))*4.\nAnswer: -2182*sqrt(3)\/11 + 29404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 4 - 4 - 1 + b + 1 + (-b - 2*b + 2*b)*(1 - 2 - 1) + 2 - b - 2 + (-3 + 2 - 1)*(b + 0*b - 3*b) + 6*b - 5*b + 7*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-2 - 1) - (-657 + 674)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1db43 + b7?\nAnswer: 1dbfa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 4\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4927459 rounded to one decimal place?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g + 3. Let s(l) = 5*l + 1. Let u(d) = -d. Let j(k) = -s(k) - 2*u(k). Calculate -2*f(w) - 5*j(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 147612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -14*z + 54. Let s(u) = 222*u + z + u**2 + 0 - 221*u. Let d be s(0). Solve d*o - 30 = -5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + sqrt(3)*1 - (sqrt(3) + sqrt(27) + -1) - (sqrt(135)*1)\/sqrt(5))*-2)**2.\nAnswer: -264*sqrt(3) + 553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6924892862549 - -0.5.\nAnswer: 6924892862549.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let t be 86\/8 + (-1)\/(-4). Let o(i) = i**3 + i**2 + 11. Let n be o(0). Let c(j) = t*j + j**2 - n*j. Give v(c(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 147313 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-6)\/828*6?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 456 + 1304 = 0. Calculate the common denominator of ((-12)\/(-10))\/(s\/7155) and 173\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 3*l**2 - 105*l + 242. Calculate v(9).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lldn. What is prob of sequence nnd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 - i + 0*i**3 - 7 + 6. Let h be g(-1). Differentiate 2 - 23*m**h - 2*m**4 - 3 + 23*m**2 with respect to m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.2937ng to micrograms.\nAnswer: 0.0512937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-52)*(1*-9 + -1)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(85) - 2*sqrt(85)*-2 - sqrt(85))\/(sqrt(10)\/sqrt(2)*-5).\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**5 - 1723956*d**4 + 8619714*d**3 - 5171796*d**2 - 15515469*d = 0.\nAnswer: -1, 0, 3, 574647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*a - 84*a + 161*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*q**3 - 90*q**2 + 71*q + 6.\nAnswer: (q - 6)*(q - 1)*(13*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87438542.\nAnswer: 2, 43719271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(-4)\/t))\/t)\/t*t)\/t*t**18\/t assuming t is positive.\nAnswer: t**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kllo when four letters picked without replacement from {l: 4, k: 2, o: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (284\/1349*38\/4)\/((-124)\/(-16) + -8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/70)\/((-12)\/(-30))*7. Suppose p = -w + 5. Suppose 2*o = w*o - 5, 2*o + 3634 = 4*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.93 + 0.07. Let w = a - 1. Let n = w - 5.006. What is n rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.4. Let k = 8.95 + -9.25. What is the second biggest value in q, k, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10362 and 389202.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 10663 = 4*l - 10618, -4*a + 29 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 at least 357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 11*z**2 + 8*z - 10. Let f be 0 + 14 + (2 - 5). List the prime factors of w(f).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -760 + 1102. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 31 = 2*z, 0 = -v + 6*v - 25 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 960 and 448?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3)\/u**7)**14 assuming u is positive.\nAnswer: u**(-266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -26bc6a?\nAnswer: -26bc64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.74*-0.2.\nAnswer: 0.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, l: 13}. Give prob of sequence lm.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 0 = -0. Let d(y) = v*y**2 + 3*y**2 - 4*y**2. Let j(t) = t. Determine j(d(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 16*t**2 + 66*t - 151. Determine z(19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**1)**41\/(a**10\/(a\/(a\/a**(-1\/8)))))**(3\/10) assuming a is positive.\nAnswer: a**(-243\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 5:17 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)\/p**(1\/3)*(p*(p\/(p*p**(-3\/10)\/p))\/p)\/p**(2\/9) assuming p is positive.\nAnswer: p**(-473\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i - 28 = -26*i. Let n be (12\/2 - i) + (-2)\/(-1). Let c(q) = q**2 - 5*q + 9. Let z be c(6). Solve -4*m + 12 = -n*y, -3*y - 3*m - 2*m = -z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**3 - 3*w**3 + 5*w**3 - 966*w**3 + 530*w**3 - 290*w**3 + (1 + 2*w**2 - 1)*(w + 0*w + w) to a*w**2 + d*w + p + f*w**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-27 + 21 + -3 + 12 - 9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 13*n + 16. What is the remainder when v(-12) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135\/7 + -3091\/161. Suppose 0 = z - 5, -2*i + 10 - 26 = -2*z. What is the second smallest value in 4, i, -4, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4352 and 209304?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2\/7 (c) -6.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 3*a**2 - 2*a. Let l be (-14)\/(-4) - (-6)\/12. Let f be (-5)\/2 - 2\/l. What is the units digit of h(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-14)\/12 + -4. Sort h, 1, -3\/5, 1\/2.\nAnswer: -3\/5, h, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1072 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-254)\/(-8))\/((-1)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2 - y + 1 + (3*y - 11*y + 0*y)*(-1 + 0 - 1) - 4*y + 3*y + 0*y as s + o*y and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/6 + 9945199*l\/6 - 1657533.\nAnswer: -(l - 9945198)*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d + 2*d + d + 6 + 8. Is k(7) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(224))\/(sqrt(200)*-1))\/(sqrt(324)\/sqrt(9)*-4*4).\nAnswer: sqrt(7)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/9 and 15\/122.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 29*c**2 + 32732. Let h(j) = -18*j. Give h(r(b)).\nAnswer: -522*b**2 - 589176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1972739.68 to the nearest 10000.\nAnswer: 1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 9*x**2 + 9*x - 11. Let c be b(-10). Put 2, c, 0 in increasing order.\nAnswer: c, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 302 and 65383.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -564466 divided by -12271\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yttttyttyytytttt. What is prob of picking 2 t and 2 y?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9)*w**(3\/7))**(-47)*((w\/(w*w**(-3\/2)*w))\/(w\/(w\/w**(-2)*w)))**(-2\/91) assuming w is positive.\nAnswer: w**(-25114\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 - 210*g + 216*g - 59.\nAnswer: 6*g + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2601 is divided by 261?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + 1 - -9)\/(1\/1). Which is smaller: c or -5\/44?\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 72*a**2 - 92097*a + 275562.\nAnswer: 3*(a - 162)*(a - 3)*(a + 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2. Let w(b) = b**3 + 4*b**2 - 5*b + 3. Let t be w(-5). Let z(s) = -1 - 2*s**2 + 4 - t. Determine a(z(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 5:38 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21519\/63 + (-12)\/21 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-122 + (-4 - 4\/(-4))). Let q = -99 + z. What is the remainder when 129 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -57585570, -57585568, -57585566, -57585564?\n\"Answer: 2*o - 57585572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 23*s - 28. Let r be u(-10). Suppose r*z - 4 = -0*z. Suppose 5*b + 1 = -24. Put z, -18, b in decreasing order.\nAnswer: z, b, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/42 + 7\/(-21)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**2 + 2*j + 5*j - 2*j**4 - 20*j**2 + 30*j**2 + 2 to the form i + n*j**4 + d*j + p*j**2 + o*j**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -78\/281?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-4)*84\/119.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40.4 + -35. Let q = 0.407 + -0.007. Let f = q - m. Which is the third smallest value? (a) f (b) -0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*c + 245*c - 1473 = 0. Let r = -6 + 10. Sort -18, 0, r, c in descending order.\nAnswer: r, c, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 0.3. Let i(t) = -t + 5. Let o be i(6). Let w be -1*o\/(3\/(-3)). What is the third smallest value in w, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -80815*i**3 - i**2 - 16*i + 30 wrt i.\nAnswer: -484890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77805 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 2 + 1)\/1. Let v be i\/(2 - 2 - 1). Let z be 7 - (1 + v)\/1. What is the greatest common divisor of z and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139245, 557079, 1253473, 2228427?\nAnswer: 3481941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -867293 + 1263322. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1571861*t**2 + 1503919 wrt t?\nAnswer: 3143722*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -157*g**3 + 14*g**2. Let y(b) = -316*b**3 + 26*b**2. What is -11*m(a) + 6*y(a)?\nAnswer: -169*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65520 and 289770?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (4 - 22 - -11) - 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16850499573*y + 16850499573*y - y**2 + 4*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1729780 or -2\/5?\nAnswer: 1729780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/46)\/((-164)\/(-984))?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/14)\/(24166\/301). Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1000.8 and -2.\nAnswer: -1002.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-632)\/3*306\/408. Which is smaller: o or -156?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -664*18.9\nAnswer: -12549.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54270 and 44874?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**(1\/7)*j))**(-7\/6)\/(j\/(j*j**20))**(1\/12) assuming j is positive.\nAnswer: j**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -23*w + 1. Let a be i(-1). Let c be (8\/(-6))\/(8\/a). What is the smallest value in -0.5, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.38263 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-26))\/(4\/10).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 6*z**2 + 4. Let q be g(6). Let i(o) = -2*o + 2 - 5 + 2*o**2 - q*o. Is i(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/9 in 0.03, 2, -161, 0.02, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let x(o) be the third derivative of 1381*o**5\/60 - o**3\/6 - 239*o**2 + 2. What is q(x(t))?\nAnswer: 1381*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2020?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1840731760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -40 - 37*c**3 + 9*c + 25 + 118*c**3. Let g(a) = 242*a**3 + 28*a - 44. Let p(k) = -5*g(k) + 16*t(k). Find the second derivative of p(j) wrt j.\nAnswer: 516*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/56)\/(33*19\/3135)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -205*g**4 - 4*g**3 - 85*g - 10. Let u(y) = 206*y**4 + 3*y**3 + 87*y + 8. Let t(m) = -3*j(m) - 4*u(m). What is the second derivative of t(z) wrt z?\nAnswer: -2508*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*g + 4*x, -5*g + 2*x + x = 20. Let a(v) be the first derivative of -11 + 2\/3*v**3 + 1\/2*v**2 + 0*v + v**4. Calculate a(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 9*r**2 - 3*r - 9. Suppose x + 1 = -8. Is k(x) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/13860 and -61\/29106.\nAnswer: 291060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001092 rounded to 6 dps?\nAnswer: 0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 0*k - 3530 = 0. Suppose -f - 18 = -k. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7239 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**5 + 864*r**4 + 1664*r**3 - 10432*r**2 - 34368*r - 27392 = 0.\nAnswer: -214, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32964143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.06715 micrometers?\nAnswer: 0.00000000206715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4109368 nanometers in centimeters?\nAnswer: 0.00000004109368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69 - -17?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-4))\/(5\/(-2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5411 + -5393. Let j(k) = -12*k - 4. Calculate the remainder when j(-4) is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1188384, -1188374, -1188364?\n\"Answer: 10*q - 1188394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -68, 4, -3, 3 in decreasing order.\nAnswer: 4, 3, -3, -8, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, -93, 0.5, -0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*b - 4*b**5 - 129*b + 5*b**5 + (b**4 - 4*b**4 + 4*b**4)*(-3 + 6 + 1)*(2*b - b - 2*b).\nAnswer: -3*b**5 - 87*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o - 12. What is the tens digit of a(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26204869653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 920 - 638. Let b = 547\/2 - p. Calculate the common denominator of b and 87\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1835 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121355?\nAnswer: 5, 13, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4 + 0*n + 15*n**2 + 20 - 7*n + 10. Suppose -g + 3*g = 6. What is the units digit of y(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 143.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -533ab6b?\nAnswer: 533ab69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*i**2 + 18\/5*i + 24\/5.\nAnswer: 3*(i + 2)*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80128 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1262 - 1259. Solve 2*c = l + 4, q*c - 8 = -4*l - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3087 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/37424 or 0?\nAnswer: 7\/37424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, -2, -2\/7, 3925?\nAnswer: 3925","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6469 is divided by 688?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/25 - 148*c**3\/25 - 1088*c**2\/25 + 12288*c\/25 = 0. What is c?\nAnswer: -64, -16, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 2:29 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1148 (b) -1 (c) -2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 431244 + 21?\nAnswer: 431320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*-37 + (2 - -2). List the prime factors of d*(-3 + (1 - 10\/(-6))).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -6. Suppose 0 = -4*b - 3*q + 26000000, -n*b = -5*b + 4*q + 13000000. What is b rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2720577 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -2.7, -1\/7, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7047 and 196914843.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + o - 22. Give b(-7).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -19.\nAnswer: -19, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*a - 2*n = -86*a + 9166, a = -5*n + 4613. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1\/3, 0, -64, 5, 0.08?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 - 615 = 66*n - 29 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Let j = b + -2.2. Let g = j + 0. Are 0.2 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2. Let c(k) = 6 - k + 4 - 10. Calculate c(f(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/204 + -401\/1428. Let o = 0.06 + 0.94. Which is the third biggest value? (a) k (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1439\/6 + 240. What is the third biggest value in 1, u, 2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.53 rounded to one dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/k)**(-16)*(k**(-1)\/k)**(-5)*((k**(2\/9)\/k)**24)**(-3) assuming k is positive.\nAnswer: k**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*10*7*(-16)\/(-5600)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(-2 + sqrt(162) + 3 + sqrt(162) + (sqrt(162) - -1*sqrt(162)) + sqrt(162) + 2 + 0 + 5)**2*-3.\nAnswer: -74052 - 12960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 4*t - 1. What is the units digit of g(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1764 and 42.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (-29 - (11 - (59 - (52 + -20)))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3397479?\nAnswer: 3, 787, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -3 - (-1 + -58). Suppose 0 = 3*g - r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 19\/11048, 0.1, -72, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 20*n - 22*n + 236 = 0. Solve -2*w + 10 = -0*w, 0 = n*a + 2*w - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/4 + 90*g**2 + 177*g.\nAnswer: 3*g*(g + 2)*(g + 118)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -31 - 36*w**2 + 4*w + 2*w + 2 + 35*w**2. Let g be i(16). Let b be (g\/14)\/(0 + (-6)\/8). Solve 0*s - 3*k + 5 = 2*s, 2*k - b = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.267 times -9\nAnswer: -2.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 3*h**3 + 5*h**3 + 3*h. Let g(n) = -n - 3*n**3 - 4*n - 2*n. Let x = -2296 + 2293. Give x*g(a) - 7*f(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**2. Let j(x) = 33*x**2 + 422*x - 2. Determine j(b) + 4*z(b).\nAnswer: b**2 + 422*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -3, -10\/9 in decreasing order.\nAnswer: 2, 1, -10\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-12)*2\/4. Let g(q) be the second derivative of 0*q**2 + q + 0 + v*q**3. Let t(m) = m. Determine g(t(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 604 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 9:31 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 52, 82, 108, 130, 148?\n\"Answer: -2*w**2 + 40*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*m - 31*m + 43*m)*(3*m - m + m).\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/11 - 4\/(-2). Solve -y + 0 + 9 = m*o, -y + 4*o = 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*y + 7. What is the remainder when (2 + y - 0) + 6 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 1\/6, -4, 56\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 19 + -22 + -74 + 1 + 2.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*n = 83*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2171669*j**3 - 44041*j + 13 wrt j?\nAnswer: 13030014*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -445604 divided by -111401.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**5 - s**2 + 3*s - 1. Let z(c) = c**5 + c**2 + 1. Let g(m) = -2*b(m) - 2*z(m). What is the second derivative of g(l) wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 4*g - 5*g)*(-16 - 20 + 4971*g - 4978*g).\nAnswer: -7*g**2 - 36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 + 1) - (24 - 13).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 233131 (base 4) to base 9\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5942677 and -0.2.\nAnswer: -1188535.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-4)*42\/6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 1, e: 5, l: 1, x: 1}. Give prob of sequence el.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -66400*t**3 + t**2 - 6*t + 5. Let a be d(5). Round a to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7824053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.076? (a) -1 (b) 36.6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(6\/13)*(h*h**(-2\/21)*h*h*h*h*h*h)\/h assuming h is positive.\nAnswer: h**(1738\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -58 - 102 - q - 8 + 167. Let n(d) = 1 - 6*d - 2 - d. Give -5*g(z) + n(z).\nAnswer: -2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 - 36*g**2 - 3*g**2 + 3*g**2)*(3 - 2 - 2) as a*g + r + d*g**2 and give d.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 102144.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 + 130. Solve -f + 9 = v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 - 554*j - 4090. Calculate q(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -63*p + 2081. Let i be o(33). Put i, -0.5, -0.0067 in descending order.\nAnswer: i, -0.0067, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 621 and 1817.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 88879103538*p + p**3 + 88879103539*p.\nAnswer: -2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275657 divided by 553.\nAnswer: 275657\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*((-117)\/6 + 1). Let u = 82899\/22 + -3770. What is the common denominator of (-5 - -2)*l\/10 and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367203084 to the power of 1\/2, to the nearest integer?\nAnswer: 19163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 296\/3 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537, -1250, -1963, -2676, -3389, -4102?\nAnswer: -4815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2033 and 6859.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-4)\/6)*6. Let i = -372 - -377. Suppose -9*h - b + 2 = -14*h, -10 = h - i*b. Put 3, h, 4, p in decreasing order.\nAnswer: 4, 3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38 - 38775\/1050)*(-4)\/(-15). Solve -4\/7 + 2\/7*n**3 + 4\/7*n**2 - s*n = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/9 + 40*s**4\/9 + 9170*s**3\/9 - 9280*s**2\/9 - 6136*s\/3 = 0.\nAnswer: -59, -1, 0, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8812802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -39*z**3 + 0*z**2 + 0*z + 0*z**4 + 12\/5*z**5 - 45. What is the third derivative of j(h) wrt h?\nAnswer: 288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 202, 118, 4, -140?\n\"Answer: -15*i**2 - 39*i + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 6*o**2 - 153*o - 852. What is the smallest common multiple of d(-6) and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, -2\/13, -594855 in decreasing order.\nAnswer: 1\/11, -2\/13, -594855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nllz when four letters picked without replacement from {n: 4, j: 1, z: 1, l: 11}.\nAnswer: 11\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3 + 758*g**2 - 46956*g = 0.\nAnswer: 0, 78, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -207.9 - 0.51\nAnswer: -208.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.6, -21.6402, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13\/(-39))\/(2\/(-6))*-1. Let k be -2 - (-3 + 2 + a). Suppose -5*i + 391 = -2*x, -4*i + 0*i - 4*x + 324 = k. List the prime factors of i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1287 + -1361. Put 4, h, 3, -0.22, -2 in decreasing order.\nAnswer: 4, 3, -0.22, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -28307?\nAnswer: -28308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000076625715 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 18. Let q = -5.5 - -7. Let k = q + -2. Which is the biggest value? (a) w (b) k (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 20. Let v(s) be the third derivative of -1\/60*s**5 + 0 + 3*s**l + 0*s + 0*s**3 + 1\/12*s**4. Find the second derivative of v(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95 or 123?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*z, 0*z - 22 = -h + 4*z. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 96034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 838230780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -111112202 (base 3) in base 15?\nAnswer: -2dd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282, -544, -806, -1068, -1330, -1592?\nAnswer: -1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 2. What is the third smallest value in z, 2\/3, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:05 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**3 + 217*f + 64*f**3 - 413*f + 178*f.\nAnswer: 53*f**3 - 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 10381 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53299 (base 10) to base 15.\nAnswer: 10bd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b - 3 - b - 6*b. Let i be o(-2). Let h be (i\/3)\/((-2)\/(-6)). Let t(p) = -p**2 + 2*p - 1. What is t(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 = 9. Suppose a = -n + 12. Calculate the remainder when a is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - h**3 - 3*h**3)*((3 - 1 - 3)*(-2 - h**2 + 2) + 16*h**2 + 17*h**2 - 37*h**2).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7843 and 589651?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2\/7*q**5 + 0 - 34\/7*q**2 + 12\/7*q - 6\/7*q**4 + 30\/7*q**3 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.8581 centuries in millennia?\nAnswer: 4.68581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + -29. Let g = 53 + l. Solve 5*t - g = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {e: 3, d: 10, u: 1, l: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*c**3*m + 191*c**3 + 5236*c**2*m - 202*c**2 + c*m + 5 wrt m?\nAnswer: 14*c**3 + 5236*c**2 + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.342 - 0.9.\nAnswer: -2.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j. Let r(g) = -g - 31*g**2 + 51*g**2 - 40*g**2. Calculate r(d(f)).\nAnswer: -500*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -24005 (base 6) to base 3\nAnswer: -11202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x**2 + 6*x**2 + x**3 + 0*x**2 + 1 - 19*x**2 - 8*x. What is a(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -256, -425, -594, -763, -932, -1101?\n\"Answer: -169*v - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -94 + 2?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**2 - 39872*p - 1963332 = 0.\nAnswer: -49, 10017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28746, 53040, 77334?\nAnswer: 101628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Find the third derivative of k**3 + 4*k**3 + 0*k**3 - 2*k**f - 2*k**2 wrt k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Let h = 5977 - 5977. Solve 2*d = j*i, -2*i + h = -5*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y**3 - y**2 + 5*y - 5. Let z be -1 + 25 + 1 + -2. Let d = -29 + z. Is b(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3871459\/728 - -37222\/7. Let q = 249199523\/22 + -11325237. Let n = 2016 - q. What is the common denominator of n and u?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z**3 - 5*z**2 - 10*z - 4. Let q be a(-4). Let p = q + -460. Solve -6 - p = -7*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111785407003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r. Suppose 16 - 6 = 5*g. Let x(d) = 4*d**2 + 3*d**2 - 5*d**2 + 4*d**g. Calculate x(k(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 232945827, 465891655, 698837483, 931783311?\n\"Answer: 232945828*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -355*b - 51. Let f be j(-3). What is the highest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43798 or 1357719\/31?\nAnswer: 1357719\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 10*m**2 + 12*m + 14. Let i be g(-11). Suppose 2*v + 4*n - i*n = 0, 0 = -2*v - 5*n. Suppose 2*d = -5*b + 30, -d - 4*b + 21 = -v*b. Is -2 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428996666 a multiple of 1499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -125. Let y = -6 - m. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(9\/((-1728)\/(-88)))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 135160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -3*j**3 - j**2 - j + 388. What is g(2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 - 21*z - 13*z + 4*z**3 + 3*z**4 + 0*z**2 - z**2 + 27*z + 1 to the form f*z**3 + m*z + c*z**2 + s*z**4 + b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5638 - 14318. Let y = t + 52861\/6. Let k = y + -140. Calculate the common denominator of k and -27\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -1111011011000?\nAnswer: 1111011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10571939\/2 or 5285970?\nAnswer: 5285970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 645932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a - 1045?\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 9:50 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72904 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - 0.3. Let l = 0.26 + -0.56. Let i = -739.6 - -740. What is the nearest to a in i, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 301\/147)\/((-24)\/168)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-8\/9))\/z*z**19*(z**(10\/3)\/z)\/(z*z\/(z*z*z**(-11))*z) assuming z is positive.\nAnswer: z**(92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 19*n**2 + 2*n + 35. Let o be k(-19). Let c be o*17\/(-6)*4. Is c <= 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 1045?\nAnswer: 1045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 + 0.1. Let r = u + 0.97. Let f = r - 1.2. What is the third biggest value in -2, f, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -884180 divided by -16076?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7525931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121197 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 50.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 53. Let f = 129 + v. Let q be 5173\/f - 4\/(-38). What is the greatest common factor of 39 and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * 1.1.\nAnswer: -37.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3274511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -38, 0, -5 in increasing order.\nAnswer: -38, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9106 is divided by 86.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 16*q + 87. Let d(o) = 15*o + 86. Let j(y) = -4*d(y) + 3*g(y). Let i be j(-8). Solve -4*p - 3 - i = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3529.737463 to 1 dp.\nAnswer: -3529.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 20451?\nAnswer: 20444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - h = -15 - 5, -2*f - 61 = -2*h - 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029210229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 62*x - 2. Let j be m(-9). What is the common denominator of (18\/84)\/(2 + (-334)\/170) and (-1608)\/j - 1\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.68 + -6.58. Let p = 0.10753 + 5.89247. Let b = p + u. What is the closest to b in 2, 14\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 81\/5 + 16*n - 1\/5*n**2 = 0?\nAnswer: -1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*q + 17. Let d = q - -8. Suppose 5*t - 17 = x, d*x - t = -2*x + 2. Solve 1 = -2*p - x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, n: 10, t: 1, i: 2}. What is prob of picking 1 i and 1 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/27 + 7110\/2430. Let r(m) be the first derivative of 15 + 0*m + 0*m**z - 1\/2*m**4 + 5\/2*m**2. Find the second derivative of r(k) wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 27*x. Let k(o) = 280*o - 16. Let s(t) = 29*t - 2. Let a(v) = -k(v) + 8*s(v). What is a(b(u))?\nAnswer: -1296*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n + 24. Let y be (-7537959)\/n*(-8)\/(-6). Suppose y + 924898 = 5*s. What is s rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**0)*g)\/(g*g*g**(-6)*g)*g**(4\/7)*g**(-4\/3)*g)**14 assuming g is positive.\nAnswer: g**(220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 826 = 5*t - 2*m, -4*t - 4*m + 60 = -612. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -5*z. Solve z = 4*h - 11 - 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9583 - 6415. Does 48 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*l - 32, 2*l - 3*l + 32 = -2*v. Suppose 5*o = l + 21. Let d = -129 + 130. Calculate the least common multiple of o and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0447 - 0.1492. Let a = -0.11 - j. Round a to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 - 6*f - 5. Let h(l) be the second derivative of -l**3\/6 + l**2\/2 - 3*l - 5. What is 6*h(m) - w(m)?\nAnswer: -2*m**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*j = 518*j + 90*j + 396*j - 47885 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000150215993 rounded to 7 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = 0, 792 = 2*w + u - 43. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 167501285 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -19 + 13, -2*m + 3*l + 86 = 0. Suppose 324 = 31*t - 22*t. What is the least common multiple of m and t?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/3 + 5*b**3\/3 + 91*b**2\/3 + 163*b\/3 + 26 = 0?\nAnswer: -6, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -8) + -11 + -4 + -3 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 118. Let v = h - 41.00023. Round v to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let l be s(-6). Suppose 3*f + 4 = b, -2*b + 5*f + 1 + l = 0. Solve -4*g - b + 0 = 5*o, 4*o = g + 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(0 + sqrt(448) - sqrt(448)))**2*-3*6*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2*d - 16 = 0, -5*k - 2*d = -7*k + 22 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/115 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (470 + 393 + 138 + 154 - 216)*(-3*a - 10*a + 0*a) to t*a + h and give t.\nAnswer: -12207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.259 + 4.959. Which is the closest to -2? (a) 4 (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36285646 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-15) + 6\/(-10). Calculate the remainder when (-153)\/(-6)*(-4)\/(-3) is divided by ((-6)\/5)\/(l\/15).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 5:23 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1089 - -1091. Let w be 4\/(-3)*3*-1. Differentiate t - w + p*t - t + 0*t wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 32\/3*p + 2\/9*p**3 + 2 - 8\/3*p**2. Factor s(z).\nAnswer: 2*(z - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 g when four letters picked without replacement from fgmmmmfgmfbbbmmbmmmb?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l = 1, 0 = 3*p + 3*l - 108648. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - -100210011?\nAnswer: 100203302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 7 = f, -2*f + 6 + 5 = 3*r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:32 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 4 + 39)*(-2*d**2 + 0*d**2 - 3*d**2)*(2*d + d + 6*d) as x + k*d + n*d**2 + l*d**3 and give l.\nAnswer: -2610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:42 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5) - 9\/45. Suppose -8 = -l*v - 2*v. Solve g = -v*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -84478 and -3125712\/37 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 1\/(3\/96). Solve -3*m + 6 + 4 = -4*k, -5*k - 4*m = c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*s - 4, -3*k = -0*k - 5*s - 11. Suppose k*m - 56 = -4*g - 2*m, 14 = 3*g - 4*m. What is the smallest common multiple of 28 and g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 858002.5 micrograms?\nAnswer: 0.0000008580025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (57\/38)\/((-12)\/112)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*w = -30, 40*a - 36*a - 3*w = 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**2 - 2. Let g(l) = l - 1. Let o(w) = 3*w**2 - 5*w + 5. Let r(u) = -5*g(u) - o(u). Give x(r(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 1439, 1\/9, -1, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -g + 806, 4*g - 2*g = -5*x + 1634. Suppose -68*f + 2*y = -72*f + g, -4*y = -f + 203. What are the prime factors of f?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -315 - -1261\/4. Let l = -0.8 + -0.2. What is the closest to p in 0.3, -3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/8400 and -77\/120.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -111100 (base 2) to base 10\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Let d = 5 - 3. Suppose d*y = -l*y. Solve -w + y*w - 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -128274343515197\nAnswer: 128274343515197.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -550.7 plus -348050803?\nAnswer: -348051353.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9 - 5*p + 21*p**2 - 58*p**2 + p + 14*p**2 + 8. Calculate s(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 318038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 44. Let f be ((-2)\/(-52))\/(g\/(-8)). Which is the third biggest value? (a) f (b) 0.4 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2107*g - 27412. Determine t(-13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257.0938 - 0.0938. Which is smaller: q or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 k, and 1 z when three letters picked without replacement from kkzzyczoykkkkzk?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -568 - -572. Solve f + 4*f - n*d = 32, 9 = 3*f + d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.2. Let h = 139 - 135. Let w = -2.93 + -0.07. Which is the closest to 2\/7? (a) w (b) i (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 162 + 6012?\nAnswer: 6174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*f - 43*f - 521 = 34 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201688690 by 40337738.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + 5*p**3 + p**3 + (3 - 3 - 4*p)*(p**2 + 0 + 0) - 2*p**3 + 3*p**3 - 3*p**3 - p - 2*p**3 + p.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1558 and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 54 + 2*z + 7\/2*z**2 + 91\/3*z**3. Find the second derivative of w(p) wrt p.\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-2))\/(-3))\/((-9)\/48)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 238*r - 236*r - 23, 4*r - 4*z = 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201298.\nAnswer: 2, 7, 53, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -17*l + 16*l. Differentiate 159 - l*k**3 + 157 - 300 with respect to k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 3*n - 1. Let r be g(3). Let y(s) = 12*s**3 + 10*s - 10. Suppose -2*t = -0*t. Let o(z) = -z + t + 1 - 1 + 1 - z**3. Give r*y(f) - 10*o(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448 is divided by 416?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -36. Solve 8 = r*t - t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - 7980. Suppose 2*i + h = -0*f + 5*f, 0 = 2*f + 3*i - 646. Suppose 13*j = 3*j + f. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 57*b + 118. Let u be z(-55). Solve -4*o + 5*a = 10, 0*o = 3*o + 4*a - u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2*u**4 - 665*d**2*u**3 - 27*d**2 - 2*d*u - 3*u**2 wrt u.\nAnswer: 48*d**2*u - 3990*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 9*h + 3*h + 7*h)*(-27*h - 9*h - 8*h)*(0 + 4*h + 0).\nAnswer: -176*h**3 + 352*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/4))**0\/(p\/(p**(2\/23)\/p*p)*p*p*p**(-2\/13)*p)*((p*p**(1\/8)*p*p*p)\/(p\/(p\/(p*p**(-2\/5)))))**(2\/167) assuming p is positive.\nAnswer: p**(-3712001\/998660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 6:37 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1 - a + 1. Let j(r) be the second derivative of r**4\/6 - 5*r**2\/2 + r - 13675. Give j(m(p)).\nAnswer: 2*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 12548?\nAnswer: 125480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -0*w - 1631. Let j be w\/((5\/(-4))\/5). Suppose -13*c + j = -11*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43162, -4, 3, -41, -6 in descending order.\nAnswer: 43162, 3, -4, -6, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 465 = 4*l - 467, 0 = 4*l + 3*f - 967. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -170. Let p = m + 918. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6 - 3 - 7 - 3*m + 2*m. Give v(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -991*-2.\nAnswer: 1982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/15)\/((-12)\/8). Which is the closest to 0.2? (a) m (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45262402 divided by 24?\nAnswer: 22631201\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90230242*l + 98059268 wrt l?\nAnswer: 90230242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddkhhhhpdhdhkk. Give prob of picking 2 k and 2 h.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30955 is divided by 2813.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6388 = 3*y, 0 = -2*y - 185 + 193. Is k a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h. Let r be o(1). Let z(m) = -2*m**3 + 46 + 2*m + 22 - 71 - m**2. Calculate z(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 30\/481 (c) -9 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 12 = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*w = 34, -w = r + w - 14. Is (9\/r)\/(6\/904) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130 - 127) + 106\/(-34).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 + -1.87. Let f(k) = -154*k - 924. Let t be f(-6). What is the fourth biggest value in 1, s, 0.8, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1374139133 to the power of 1\/3, to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 393 = 5*k, -s + 5*k + 199 = -0*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -9, -0.1.\nAnswer: -9, -6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 125.175 bigger than -156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**4\/4 + 145*g**3\/3 + g**2\/2 + 7963*g - 8882. What is the first derivative of n(a) wrt a?\nAnswer: 3*a**2 + 290*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 7. Is j(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28c7b2 (base 16) to base 15.\nAnswer: -37bd0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.231 + 14.769. Which is greater: q or -94?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and -0.69.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/(-544) - (-172)\/(-160))\/(32\/(-10)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:13 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/1862 and 55\/5054.\nAnswer: 35378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/(z\/z**(-4)))\/(z**22\/(z**(-1\/30)*z)) assuming z is positive.\nAnswer: z**(-811\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -3*i - 4*v, 3*i - v - 65 = 77. Suppose 0 = -6*s + 7*s - i. Let m be s\/12 - (4 - 0). Solve m*l = l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3726951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*o**3 - 22*o**3 + 61*o**3 + (0 - o + 0)*(-3*o**2 - 4*o**2 - 5*o**2) - 2*o**3 - o**3 + 2*o**3.\nAnswer: 108*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/33 and 47\/110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25209*f**3*i**3 + 3327410*f**3 - 42*i**4 - 1 wrt i.\nAnswer: -75627*f**3*i**2 - 168*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**(1\/2))**4 assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*l + 93*l = 135192. Calculate the highest common factor of l and 1703.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvkkkkkkvv. Give prob of picking 3 v.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.8816514 to three decimal places.\nAnswer: 4.882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*u - 21. Suppose -u = -j - 2*j. Is 10 a factor of (j\/4)\/(-3) + 539\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - ((2 - 7) + 37 + -21 - 0).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/19, -1\/4, 1\/8, -501 in increasing order.\nAnswer: -501, -1\/4, 0, 2\/19, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i + 28 = 180 + 48. Let o(z) = z**3 - 11*z**2 + 12*z - 19. Give o(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -1. Let f = -2.9 + d. Let t = 10 - 5. Which is the third biggest value? (a) 3\/8 (b) t (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 58. Which is the smallest value? (a) -0.1 (b) 0.1 (c) 0 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*1*(-1 - 0). Suppose 22 = 5*u - n, -4*n - 76 + 36 = -4*u. Solve -4 = -u*q - i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 0*w**2 + 0*w**2)*(2*w**3 - w**3 + w**3) + (-22298 - 201*w**3 + 22298)*(-3*w**2 + 5*w**2 + 2*w**2).\nAnswer: -800*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -3 + 3 + 3. Suppose 2*b = -3*i + 13, 2*b + k*i - 15 = 4. Suppose -3*g = -2*g - 3. Solve -b*w + 2*a - 17 = -3*a, 2*a - g = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*n - 21 = 0, -v - 5*n - 58 = -4*v. Solve -v*z - 18 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 27 = -12. Suppose t + z*t = -2*u + 116, -u = t - 53. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 14. Let j be -2 + (0 - -2)*1. List the prime factors of g(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) - (sqrt(125) - (sqrt(125) - (4 + (sqrt(125) - (sqrt(125) + 2*sqrt(125)))))**2 - sqrt(125)).\nAnswer: -115*sqrt(5) + 1141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - i**2 + 28 + 19*i**2 + 10*i**2 + 2*i**4 - 32*i**2 - 2*i**3 to the form m*i**4 + a*i**2 + n + k*i + f*i**3 and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 220012012212100 (base 3) in base 2?\nAnswer: 110001000010111110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 328398 and 218932.\nAnswer: 656796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:01 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (78 - 3)*7\/(63\/30). Calculate the highest common factor of p and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4441, -17273, -38511, -68149, -106181?\n\"Answer: c**3 - 4209*c**2 - 212*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17, -6, -67, -172, -327, -538?\n\"Answer: -n**3 - 13*n**2 + 23*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, l: 4}. What is prob of sequence ylyl?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-24))\/((-1)\/((-5)\/(-4)))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 12) to base 6\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 102, 246, 452, 720?\nAnswer: 1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {t: 4, s: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1920 and 360?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by 526099?\nAnswer: -8\/75157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 2, b: 7}. Give prob of picking 1 b, 1 l, and 1 i.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*((-14)\/12 - (-3)\/6). Suppose y*u + 4 = 3*t + 2*t, 4*u - 2*t = 8. Solve -u*d = d - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 929.1843 hours in minutes?\nAnswer: 55751.058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126625789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203 + 176. Let l be f\/(-12) + (-24)\/(-32). Solve -l = u + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 13, e: 3}. What is prob of sequence elll?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2 + 10. Let q be 1*22 - (l - -4). What are the prime factors of (-5)\/q - (-25)\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 4*s - 8, -4*s = -74*i + 69*i + 32 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llgggl. Give prob of sequence gglg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1219 = 5*m + i, -i = -m + 55 + 184. Let s be 7\/((-21)\/(-192))*(10\/20 + 2). Let u = m - s. What are the prime factors of u?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**2\/7 + 459*y\/7 - 1350\/7 = 0.\nAnswer: 3, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63191?\nAnswer: 29, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttto when four letters picked without replacement from {f: 2, l: 1, o: 1, t: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*d - 5059, 3*n - 5*d = -8*d + 3030. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171948 and 16821.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 6 + 54 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7315?\nAnswer: 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 - 16*u + 73532. Let y(z) = 2*z. What is o(y(g))?\nAnswer: -12*g**2 - 32*g + 73532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1863*z**4 - 2156*z**2?\nAnswer: 44712*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w - 4*s - 489, s = 2*w - 321. Calculate the smallest common multiple of w and 36.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513 = 6*d - 3*h + 522, -9 = d - 2*h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from ukeuueweeuuuwuuuuw.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*q + 111, 4*q - 135 = -3*m + q. Let u(y) = y**2 + 67*y - 281. Calculate the remainder when u(-72) is divided by m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/2)\/(t**(-1\/7)\/t))\/(t*t**1)**(1\/2) assuming t is positive.\nAnswer: t**(23\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 71775223 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from alqlqlaldda.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 429698160.2379 and -55?\nAnswer: 429698215.2379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssavsviiiiasiakaavk. Give prob of sequence kksa.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyayayyyyyyymymyyaxy. What is prob of sequence ma?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 6, 0, 205.\nAnswer: 0, 1, 5, 6, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/233740 and 17\/156.\nAnswer: 701220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -56565600 and 3.71.\nAnswer: -56565596.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22122 (b) -3 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1753440, -3506881, -5260324, -7013769?\n\"Answer: -y**2 - 1753438*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92\/368*(-45)\/6*-8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, a: 1, b: 4, k: 1, x: 2, f: 1}. Give prob of sequence fxf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 + 5*g - 12. Let n(q) = -5*q**2 + 4*q - 12. Let o(v) = 5*n(v) - 6*y(v). Let z be o(-10). Calculate the highest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5741 rounded to the nearest ten?\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 3 - (1 + -19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*j + 612*j + 21167 = -24219 - 38008 for j.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3 + 13. Let d(i) = i + 14. Let x be d(-11). Sort -5, b, x.\nAnswer: -5, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4582, -5645, -6696, -7735, -8762, -9777?\nAnswer: -10780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 21*u. Let t(f) = 48*f + 33. Let i(o) = -10*o - 6. Let b(k) = -11*i(k) - 2*t(k). Determine b(m(l)).\nAnswer: 294*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 131 in -1\/5, -10, 0.3, 0.07?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163810 is divided by 3283.\nAnswer: 2943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 11*m**2 + 224*m + 2521. Give l(-15).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 6*s**2 + 5*s - 6. Let h be u(-4). Is h less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9.2 (b) -0.1 (c) -30 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -231 + 210. Let s = t - 2. Is -25 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011001101000 (base 2) in base 7?\nAnswer: -22503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r - 6*r + 36*r + 11*r to v + g*r and give g.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.99 - 22. Let m = i - 0.19. Suppose 6*v - 2*u + 14 = v, -5*v + 5*u = 20. What is the smallest value in v, m, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 881, 8, -3, 27, 3 in descending order.\nAnswer: 881, 27, 8, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 3:15 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2. Let d(u) be the second derivative of u**6\/180 - 4*u**3\/3 + 3*u. Let m(y) be the second derivative of d(y). Calculate m(g(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.630102 rounded to two dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/6)\/(2\/(-408)). Is 9 a factor of f\/8*32\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -669*2\/(-2). Suppose -2*a - 3 = -w - 1, -5*w + 43 = a. Suppose -9*n + w*n - m = 0. Round n to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -9. Let o = 73 - 384. Let y = o - -315. What is the second smallest value in 3\/2, y, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -1, -2 in increasing order.\nAnswer: -5, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 3*b + 6. Determine c(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 7 = 7. Let h be -9 - (-9 - x) - 32\/(-14). Let f = -131\/3 + 44. Which is the second smallest value? (a) -2 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3366 + -15?\nAnswer: -3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37050 - 6332. Suppose -19782 = 5*y + u. Round y to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797245 minus -900052?\nAnswer: 1697297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + (-37 - -32) + 53.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 36138*o**5 - 125067*o**4 + 1279389*o**3\/8 - 353607*o**2\/4 + 132885*o\/8 + 1593\/2 = 0.\nAnswer: -236\/6023, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7082388 is divided by 371.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(396)\/sqrt(9) + sqrt(44) - (-3*sqrt(132))\/sqrt(3))\/(-6*(-1*sqrt(196) - sqrt(196) - sqrt(196))*6).\nAnswer: sqrt(11)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.25 + 0.05. Let o = 19 - 37\/2. Let s(j) = j**3 + 6*j**2 + j + 7. Let a be s(-6). What is the nearest to -0.1 in a, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/126693 and -23\/64.\nAnswer: 8108352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85668918*g**3 + 125060876*g?\nAnswer: 514013508*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021 (base 3) in base 12?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((27\/9)\/(-18))\/((-42)\/(546\/26))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*k + 792 = -5*k. What is the greatest common factor of k and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 819 = h, -y + 0*h = 3*h - 819. 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 the third derivative of 165263189*z**6 - 608*z**2 + 37925*z - 2?\nAnswer: 19831582680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 16*t. Let g(w) = -4*w. Calculate b(g(x)).\nAnswer: -32*x**2 - 64*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 12*x**2 - 12*x - 1. Let a be d(-11). Let y(m) = -4*m**2 + 42 + 3*m**2 + 10*m - 40. Let u be y(a). Solve -u*q + 15 = 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214699.\nAnswer: 23, 52813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 8*l**2 + l - 7. What are the prime factors of q(6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.779285ng in milligrams?\nAnswer: 0.000000779285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 4*v - 39. Let i be (-52)\/(-14) - (-10)\/v. Solve -m = 2*r - 8, -i*m = 5*r - 15 - 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 720506, 720508, 720510?\n\"Answer: 2*l + 720504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-780\nAnswer: -780.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13235 is divided by 1111?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**1\/s))**(-5)*((s**(-1\/2)*s)\/s)**(-30))**4)**(-9\/4) assuming s is positive.\nAnswer: s**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = 2*c. Factor 1 + v**c + 0*v - 2*v + 0*v**2.\nAnswer: (v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 5. Let c(x) = -x - 4. Let l be ((-10)\/(-4))\/(1\/6). Suppose 4*h + h + 5*w = l, 0 = -2*h + 3*w + 6. Suppose -b - 6 = -h. Give b*v(z) + 4*c(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {x: 14, k: 4}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g + 2*g - 2*g**4 - 6 - 9 + 6 in the form f*g**2 + y*g**3 + z*g + a*g**4 + r and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19\/5 + (-1)\/(-5). Let d = c - 1. Let y = 3 + 5. Calculate the remainder when y is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61312 is divided by 117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -121659334?\nAnswer: -121659331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*q + 220*q + 41*q + (-2 + 0 + 3)*(-3*q + 1 - 1))*(-3*q**2 + 11*q**2 - q**2).\nAnswer: 2198*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.075.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2777, -5274, -7769, -10262, -12753, -15242, -17729?\n\"Answer: j**2 - 2500*j - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.44 - 2.4400358. What is b rounded to six decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -3, -11\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 8193\nAnswer: 2\/8193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2977*v - 1950*v + 1027 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 6. Let s be j(-7). Let c be (s\/(-2))\/((-15)\/(-10)). Let p = 7 + -6.7. What is the closest to c in p, -3, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12718906*w - 20301667 wrt w.\nAnswer: -12718906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 0. Which is the nearest to 0.1? (a) 4 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/7))\/(d*d**(1\/2))*d**6\/d*d\/(d*d\/d**6))\/((d*d**(2\/7))\/((d*d\/(d\/(d\/d**(-4)))*d*d)\/d))**(1\/63) assuming d is positive.\nAnswer: d**(8207\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*m - 16, -11 = m + 3*c + 6. Let p be ((-29)\/m)\/((-4)\/(-8)). Let k = 2 + p. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/4*(-280)\/(-175). Is a less than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*k + 19 = 0, -5*y - 4*k - 4 = -2*k. Let a be 2 - y - 0 - 1. Suppose 3*s - 2*x - 21 = -0*x, a*x = -3*s + 6. Solve -3 = 2*u - s*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618058?\nAnswer: 2, 7, 131, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26 - -0.24. Is 0.5 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 3:52 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149 and 69?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -1, 2\/47, 5, -1\/655, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011001001011011100101 (base 2) in base 9?\nAnswer: 10400242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*z + r + 61, -44*z + 2*z + r + 1 = -46*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2345*r + 2338*r. Solve -11*u + 8*u - 6 = r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 74.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -679*f*t*z + 96*f*t - 200*f*z + 3*f + 4*t*z - 66*z wrt t?\nAnswer: -679*f*z + 96*f + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1006a4 (base 13) to base 10.\nAnswer: -372441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2 - 2 - 3 - 4*f - f**2 + 11. Let i(l) = 4*l + 12. Let j be i(-4). Determine u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352775100.\nAnswer: 2, 3, 5, 67, 17551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 39. Suppose -r + 0 = -2*a. Let d be (-4)\/(-8)*2\/(-1) + 1. Solve -3*b + 3*j - 25 = -a, 2*b + 3*j - 6 = d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0349243nm?\nAnswer: 0.0000000000349243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*m**2 + 0 - 73\/2*m.\nAnswer: m*(m - 73)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*m + 8*m + 31840. List the prime factors of 6\/4*9\/(108\/m).\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(36\/(-12) + (1 - -3)). Suppose 6*t - 5*t = k. Solve -t = -a - 4*a - 2*n, 3*a + 2*n - 10 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 76758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2141021 (base 5) in base 4?\nAnswer: 21002103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4*g - 43 + 33, 2*a = g - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/15 - 60*s**2 - 19894*s\/15 - 35868\/5 = 0. Calculate s.\nAnswer: -427, -14, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416 divided by -32.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8246*g**3 - 8245*g**3 + 16489*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43\/((-51600)\/144)*450?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.13 (b) -143 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 - 12 = 0. Suppose -3 = -5*d + 7. Let b(z) = 5*z + 1 + 0*z**2 - 2*z**d + z**2. Calculate b(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 41, 80, 127, 176?\n\"Answer: -c**3 + 13*c**2 - 7*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**2 - 4*k - 2. Let v(y) = 9*y**2 + 7*y + 3. Calculate 5*h(a) + 3*v(a).\nAnswer: 2*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) + -1) + (sqrt(112) + sqrt(112)*-3 + sqrt(7) + sqrt(7))**2 + ((sqrt(1008)*2 + sqrt(1008) + 1)*-3)**2.\nAnswer: 644*sqrt(7) + 81913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45079751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.65 - 0.45. Let b = 9 - 13. Let c = b - p. What is the second biggest value in -5, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(130\/(-60) - (-8)\/((-64)\/(-4))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - z**2 - z - 1. Let j be h(0). Let l(k) = -9*k**3 + 2*k + 1. Give l(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*k**3\/13 - 1740*k**2\/13 - 496*k\/13.\nAnswer: -2*k*(k + 124)*(7*k + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**3 - 675*n**2 + 1657674*n - 6619704 = 0.\nAnswer: -866, 4, 637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/126*-6)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 671 and 638?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98546086 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: Solve 3*p - 35 = 5*t, 3*p - 11*t + 8*t - 27 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 365 and 32525.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7145.\nAnswer: 5, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12741 = 1991*g - 41016 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53 in 117, -1\/4, -7, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**2 + 87*c - 21*c**2 + 13*c**2 - 8*c**2 as g + a*c**2 + q*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -30\/23 (b) -3 (c) 0.07 (d) -2\/7 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/231*11 + (-10)\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12829 = 12833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4 + -2 - 10639986\/(-4). Suppose 13300012 = 5*s + d + 2*d, s = d + m. Round s to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.104236 and 60.\nAnswer: 126.25416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 135624 - 1015?\nAnswer: 134606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4791*l**2 - 4*l - 3. Let i be j(-2). Let v = -33369 + i. What is v rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1293505257 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1637402 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + s**2 - s + 42. What is b(0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from gowgwggggggwwg?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdrarxmd. Give prob of picking 1 a, 1 x, and 2 r.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + -44466164?\nAnswer: -44466213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - ((9 - 1 - 1) + (-48 + -13 - -59))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 5 = -9*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3870 and 306?\nAnswer: 65790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -4, -3, -61\/898 in descending order.\nAnswer: 3, -61\/898, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 454, 1407, 2854, 4801, 7254?\n\"Answer: n**3 + 241*n**2 + 223*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 bigger than 9927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749631 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72\/13, 2\/53, 19 in increasing order.\nAnswer: 2\/53, 72\/13, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177056 and 1056.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3723725140?\nAnswer: 2, 5, 37, 5032061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + 4.96. Which is the closest to 2\/5? (a) 2\/7 (b) 1\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2343 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0.4, 80740618?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 198 (b) -6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-10)*(-10)\/3. Let f(a) = -3*a + 2 - 4*a + 5*a + 5*a + g*a**2. List the prime factors of f(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 162*y**2 + 2*y + 3168. Let x(d) = -8*d. Give z(x(u)).\nAnswer: -2592*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 120783.\nAnswer: -5\/120783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 77223265*c + 1 + 77226848*c)*(c**2 + 0*c**2 - 2*c**2) to x*c + h + b*c**2 + j*c**3 and give j.\nAnswer: -3583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(-54) - (-1)\/(-6). Let x = 2 - -1. What is the third biggest value in y, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (5 - (15 + 1)) - (-5 + 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 13, x: 3}. Give prob of sequence xkxk.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133 + 0?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 180.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 25. Let n(u) be the first derivative of -3*u**2\/2 - u - 9. Let f(z) = 13*z + 5. Give x*n(h) + 2*f(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/4 - 870*m**2 - 3017133*m\/4 + 9114147\/2 = 0 for m.\nAnswer: -1743, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-38)*(1\/4 + (-1235)\/(-1140)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0*c**3 + 1\/12*c**4 + 51*c**2 + 3\/20*c**5 - 60*c + 0. Differentiate p(v) with respect to v.\nAnswer: 9*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 0*u**2 - 3\/2*u**3 + 0 + 2*u. Let z(g) = 122822*g - 61413*g - 61405*g. Determine x(z(a)).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 5 (c) -47 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + sqrt(468).\nAnswer: 1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4194 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(7)*1)**2 + -5*sqrt(112).\nAnswer: -20*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 797143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 2*b**2 - 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8953, 8951, 8941, 8917, 8873, 8803, 8701?\n\"Answer: -l**3 + 2*l**2 - l + 8953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/33 and -59\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, k: 4}. Give prob of sequence kd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -22*v + 112. Let m be o(5). Let q(r) = 4*r + 7. Let z(a) = 3*a + 8. Let f(t) = m*q(t) - 3*z(t). Let s(h) = -h**2. Give s(f(l)).\nAnswer: -l**2 - 20*l - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a14774 + 1?\nAnswer: a14775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 313637335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q + 2*q)*(-2 + 2 - 2) + 0*q + q - 3*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -58. Solve -2 - 13 = w*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1185.2 + -897.8. Is 1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 7*f**4\/24 + 8*f**3\/3 - 908*f**2. What is g(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422860188523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 5)*15\/10. Let r be 36\/(-567)*h\/6. Let c = 1.3 - -0.7. Is r < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence liaa when four letters picked without replacement from iraaaaliilaaaaih.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3526845061?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(180\/(-783)))\/(6\/64). Sort -2, y, -1, 2 in descending order.\nAnswer: y, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2057 - 1928. What are the prime factors of o?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) -2\/17 (c) -1.2 (d) 27 (e) 10\/9 (f) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 84 = b, -x - 6 + 22 = -b. Let m = x - -3. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/69))**(-28)\/((w*w**(1\/5)\/w)\/(w**(-2\/27)\/w)))**(2\/9) assuming w is positive.\nAnswer: w**(-2872\/27945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 66560*n**5 + 8511680*n**4 - 123297975*n**3 - 23342580*n**2 - 1097685*n = 0?\nAnswer: -141, -3\/32, 0, 173\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5103)\/(-105))\/(-27))\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((6\/4)\/1)\/((-18)\/(-24)). Suppose f - m = 0, 7*u + f - 662 = 4*u. What are the prime factors of u?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -141, -135, -137, -153, -189?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/184*1)\/((-3)\/(-5734)). Let g = u - -187. Calculate the common denominator of 75\/(-14)*14\/(-4) and g.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9466204 to 2 decimal places.\nAnswer: 2.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 7*k**2. Suppose 5*m = -28 - 7. Let f be l(m). Suppose 0*s - 3*s + 9 = f. Calculate the smallest common multiple of s and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = -p - 4, p = 4*a + 18. Sort 4, -0.053, a.\nAnswer: a, -0.053, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - -0.1. Let l = -5.9 + m. Which is the biggest value? (a) 0.4 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - i + 4*r + 2, 0 = 4*i + 4*r - 4. What is the second derivative of 12*q**i + 2*q - q + 3*q wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 109403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gggmjvmgjggggg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-2)*(6 + -5). Suppose -y - 4 = -t. What is the units digit of t + 2 + -1*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 621 by -1431.\nAnswer: -23\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 + 0*w**2 + w**2 + (w - w + 3*w)*(2*w + 0 + 0) - 1223*w + 11*w**2 + 1223*w)*(3*w**2 - 4*w**2 + 2*w**2).\nAnswer: 22*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*3 - (-1 - 2 - -4). Sort -1, j, 0, -5 in ascending order.\nAnswer: j, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 + 6 - 1)\/(60\/(-56) - -1) is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/(-9) - (-3)\/((-6)\/(-10)). Is 1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 47*j**2 - 3 + 162*j - 153*j - 4*j**2. Is y(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 less than 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c = 35*c + 4*i - 40 - 8, -c - 33 = -4*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 79?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 * 459\nAnswer: 179.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 8*h**2 + 8*h - 36. Let x be n(8). Let f be -4 + 5 - 44\/x. Which is the second biggest value? (a) f (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 330*u - 284*u - 53 + 559 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184417*y - 10*y**3 + 184385*y - 368802*y.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 - 3 + 3 + 954878*y - 954878*y.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 404 - 421. Let z(b) = 11*b - 6. Let o(c) = 4*c - 2. Calculate g*o(v) + 6*z(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-1 + 2) - (-56 - 229). Suppose 1415 = b + 3*x, -x = b - 1138 - m. What are the prime factors of b?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 - 384612*p + 384613. What is r(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + -493?\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*a - 5548, 13*a - 8*a + 5521 = 4*h. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25444492?\nAnswer: 2, 179, 35537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-4) + (-834)\/139)\/(6\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*u + 1845, -22*u + 26*u = 4*d - 2432. Suppose -d*z = -603*z - 736. What is the least common multiple of 20 and z?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 3*p + 2*p)*(-675 + 677 - 79*p - 11*p + (1 - 2 - 1)*(p - 5*p + 3*p)).\nAnswer: -264*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(176)*2 + sqrt(176) + 2*sqrt(176) + -5 + (sqrt(99) + 1 - sqrt(132)\/(-4*sqrt(12))))**2.\nAnswer: 93*sqrt(11)\/2 + 95155\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k**2 + 3*k**2 + 1032*k + 14*k**2 - 1246*k + 32*k**2 wrt k?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9358 and 4.\nAnswer: -37432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12574.05 - 12291. Let x = t - 300. Let y = 17 + x. Round y to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 782, 780, 778, 776, 774?\n\"Answer: -2*o + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-4 + 204\/16). Let x = j + 43. Suppose 260 = 13*o - x*o. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 (base 16) in base 3?\nAnswer: -12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243615.699 rounded to the nearest one hundred?\nAnswer: 243600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w + 0*w)*(3 - 14*w - 3).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -147 (b) -4\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -8*x**2 - 73*x - 23. What is r(-8)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -2. Is ((-178)\/(-5))\/(c\/30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39968681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5\/5 + 5853*z**4\/5 - 23448*z**3\/5 + 4692*z**2.\nAnswer: 3*z**2*(z - 2)**2*(z + 1955)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*i + 5. Suppose 5*g = y - 6, 2*y + 3*g = -2*g - 3. Sort y, -2, i, -1 in decreasing order.\nAnswer: y, -1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.80151 and 40.2?\nAnswer: 32.220702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 17. What is the closest to 2 in f, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*x + 4. Put x, 2, 4 in descending order.\nAnswer: 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(5) - sqrt(30)\/sqrt(6)) - sqrt(5) - sqrt(50)\/sqrt(490).\nAnswer: -8*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*p = 22070 - 4710 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.045, 2, -1\/5, 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 16*n**3 - 10*n**2 - 36*n + 105. Give l(3).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j**3\/11 - 346352*j**2\/11 - 115450*j\/11 = 0.\nAnswer: -57725, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 + -152. Let q = -0.3 - -0.5. Let w = -0.1 + q. Which is the second smallest value? (a) w (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12275)\/14 + 30\/105)*-2.\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 + l**3 + 8*l**4 + 0*l + 3 - 2*l**2 + 5*l - 9*l**4 to f*l**2 + n*l**4 + m*l**3 + w + c*l and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 962*q - 6585 = 959*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5875 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -716444311 and -0.26.\nAnswer: -716444311.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 3*c - 6*c)*(3 - 3 - 3*c**3) + c**4 + 2*c**4 - c**4 + (-3*c**2 + 3*c**2 - 2*c**2)*(2*c**2 + c**2 - 4*c**2).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 227282 (base 11) in base 4?\nAnswer: 1120021021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-36)\/10 + 4)\/(66\/68079). Which is bigger: 414 or d?\nAnswer: 414","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 301 and 0.0221?\nAnswer: 300.9779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 14 + 58 = 0. Let g = -74\/3 - b. Is -1 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 11 = 3796*c - 3801*c, 2*c + 26 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (286\/12)\/(7\/42). Let d = -121 + h. What is the greatest common factor of d and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(108\/680400*25).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -15*r + 16*r. Let x(c) = c**3 + 6*c**2 - 4*c + 11. List the prime factors of x(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9988 - -6?\nAnswer: -9982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 132618390*p - 97549035 wrt p?\nAnswer: 132618390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*j + 132. Let y = -8845 + 61857\/7. What is the common denominator of y and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2\/4 + 371*n\/4 - 185\/2 = 0?\nAnswer: 1, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -24910964?\nAnswer: -24910963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 8:43 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 i when three letters picked without replacement from {p: 1, h: 4, o: 2, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 159, 160, 163, 168, 175?\n\"Answer: t**2 - 2*t + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - b**2 + 22*b - 42. What is h(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 8933*h**2 + 89405*h - 223575.\nAnswer: -(h - 5)**2*(h + 8943)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)\/(x\/x**(-1\/10)))**(-6\/5)*x**(-1\/4)*x*x**(2\/19)*x*(x\/(x**(1\/2)*x))**(-7\/8) assuming x is positive.\nAnswer: x**(109537\/7600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1695861 and 837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) -0.1 (c) -0.174 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*y + l, 0 = -11*y + 591*l - 590*l - 53 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -562 (base 10) to base 2.\nAnswer: -1000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 14*z - 850. Let f(j) = -j + 85. Let d(r) = 10*f(r) + i(r). Let v(h) = 1791*h**2 + 2*h. Calculate d(v(t)).\nAnswer: 7164*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3543720, 3543721, 3543724, 3543729, 3543736?\nAnswer: 3543745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r - 2005504 = 35654. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 7) to base 8.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 217 by 2537.\nAnswer: 217\/2537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**3 - 806 - 14*q**4 - 10*q + 774 + 36*q**4. Let t(v) = v**3 + 2*v + 1. Let k(u) = -s(u) - 4*t(u). What is the first derivative of k(r) wrt r?\nAnswer: -88*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, z: 2, i: 8, t: 7}. What is prob of sequence ici?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -768361, -768364, -768367, -768370, -768373?\nAnswer: -768376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 - 118 = 26*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -1\/6*a**4 + 0 + 3*a**2 + a - 35\/6*a**3. Calculate the lowest common multiple of 16 and j(-10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 2*g + 3. What is h(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*m - 28 = 0, -4*c = -7*m + 8*m + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -24*v. Let s(g) = 15*g + 13*g - 39*g. Let o(p) = 6*k(p) - 13*s(p). Give o(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2354*z - 1014580. Calculate g(431).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) 548 (c) -263\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1623, -3246, -4869?\n\"Answer: -1623*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l - 1. Let q be s(3). Let f be 5\/(-10) + -3 + q. Factor 0 + f*d**2 + 1\/2*d**3 + d.\nAnswer: d*(d + 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i - 1. Let f(c) = 8*c - 2. Let h(t) = 6*f(t) - 5*w(t). Is 11 a factor of h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 15*j - 417 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 88, -4 in decreasing order.\nAnswer: 88, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1025*u**2 - 9390 + 3002*u + 9390 wrt u.\nAnswer: -2050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 a when four letters picked without replacement from jjjjaajjj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t - 2. Let w = -1 + t. What is the tens digit of ((-3 - -2)\/w)\/((-4)\/308)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 64, 98, 132?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-104)\/(-24) + -3)\/((-2)\/(-471)).\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4004 - -0.3004. Which is the smallest value? (a) 16 (b) h (c) 5\/2 (d) 10 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 302\/(-151)*(-3)\/(3\/(-2)). Let k be 1\/(1\/3) + 0. Suppose -3 = -k*v - 2*j, 3*v + j - 12 = -2*v. Sort v, s, 1 in ascending order.\nAnswer: s, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -63, -3, 0, 6 in decreasing order.\nAnswer: 6, 0, -3, -12, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.49 and -158.5.\nAnswer: -77.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -4*d - 5*n - 0*n, -29 = -2*d - n. What is the highest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/58940 and 47\/160?\nAnswer: 471520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -10*r - 1. Let a be t(-1). Suppose -a*v + 4*v - 170 = 0. Let n = v + 41. Solve -17 = m + 5*w, 0 = 3*m + 4*w - 0*w + n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25828, -25826, -25824?\nAnswer: -25822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s*((s**2*s)\/s)\/s)\/s)*s)\/s)\/s*s**3)\/((s\/s**3)\/(s*s**3)) assuming s is positive.\nAnswer: s**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 10.8. Let w = t + -1. Which is the nearest to -0.1? (a) 1\/11 (b) w (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1794*b + 929*b - 5*b**3 + 866*b + 37*b**4 - b**2 to g*b**2 + c*b + q + r*b**3 + v*b**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/5 + 2424*d\/5 - 72261\/5.\nAnswer: -3*(d - 777)*(d - 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(2 - (-2 - -4)) + 0. Suppose q = -f + 22. What is the remainder when 41 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3499, -3453, -3409, -3367, -3327, -3289, -3253?\n\"Answer: -m**2 + 49*m - 3547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 373965260 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007038019 rounded to six dps?\nAnswer: -0.000704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1575 is divided by 215.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -508, -1168, -2386, -4336, -7192, -11128, -16318?\nAnswer: -22936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u = -45 + 176 + 163 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -867809, -867817, -867823, -867821, -867805, -867769?\nAnswer: -867707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 48*q + 6. Let a be k(2). Let w(z) = -6*z + 100 + 5*z - a. Determine w(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*x**4 + 3*x - 126.\nAnswer: 1332*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3*(0 - 15). Suppose -n - 5 = -3*x. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9497 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in -8, 88, -0.02, 0.1, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432616 - 21*v**3 - 432616 + 31*v**3 + 14*v**3.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 257*a**2 - 36 + 250*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 18 + 8. Let l be 4\/20 + ((-18)\/t - 0). Let q be 1 + l + (3 - 0). What is the greatest common divisor of q and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 + 15 + (-55)\/12. Let o(x) be the third derivative of 27*x**2 - w*x**4 + 0 + 0*x**3 + 0*x + 1\/12*x**5. Factor o(c).\nAnswer: 5*c*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -91*r**3\/3 - 4*r - 5. Let k(z) be the first derivative of 2*z**3\/3 + 3675. What is k(v(b))?\nAnswer: 16562*b**4 + 1456*b**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135087\/16 + -8447. Calculate the common denominator of ((-3)\/6)\/(4\/(-29)) and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*g + 15 - 15)*(-25 + 3 - 18)*(0*g + 5*g - 3*g).\nAnswer: -1280*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + s - 7. Let l be a(-7). Let o(j) = 9*j + 38. Let c be o(-4). Suppose h = -c*n + 24, 4*h + 6*n - l = 4*n. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 3*x**2\/2 + 3*x - 1. Let w be y(2). Let r = w - 8. Let z(b) = -6*b**3 + 1. Calculate z(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35990301.\nAnswer: 3, 11996767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 416160 by -204.\nAnswer: -2040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**5\/20 - s**4\/12 - 8*s**2. Let q(x) = x**2 + 1. Let w(r) = f(r) + 4*q(r). Give w(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-18)\/63) + -185. Let x = -90 - l. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*i - 2 = 5, a + 3*i = 17. Suppose -n - 5 = -r, a*r + 1 + 4 = -3*n. Is r bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 11*r - 6. Let w be j(10). Let q(k) = w*k + 9*k + 0*k. Let s(a) = -5*a**2 + 0*a**2 + 4*a**2. What is s(q(l))?\nAnswer: -169*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven eighths of a week?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (11 - 5) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 87\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -11. Let o(v) = 5*v**2 - p*v**2 + 6*v**2. Give o(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21, -4, -53, -132, -247, -404, -609?\n\"Answer: -j**3 - 6*j**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 716224 and 1444.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 199, 2\/5, -47 in decreasing order.\nAnswer: 199, 2\/5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -894600 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -13?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*q + 5*j, 17*q = 16*q + 5*j + 3. Let o(k) = k**2 - 8*k - 9. What is o(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 3*c - 1 - 1\/3*c**3 + 3*c**2. What is s(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 148\/19, 517, 5?\nAnswer: 148\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 0 - (-40 + 49) - (-2 + 27 + -4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-234)\/234)\/(2\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0618 to 2 dps.\nAnswer: -1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 38613000 to the nearest one hundred thousand.\nAnswer: 38600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35848 greater than 35847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*(150\/4875 - 620\/(-975)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -103.9 to one decimal place.\nAnswer: -103.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-50)\/(-80)*4\/(-170)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*678\/565?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*o**2 - 79*o**2 - 48*o**3.\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 7*i - 10. Suppose m + 5*m = -48. Let c be q(m). Let w be 13 + c + 18\/(-9). Calculate the greatest common factor of w and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273986 is divided by 730?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216844026.\nAnswer: 2, 3, 7, 67, 263, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*l - 0. Suppose 4*i + 20 = 0, l*g + 3*g = 4*i + 220. Let j be (2 - 5 - -2)\/((-2)\/g). Sort 0, j, 1 in descending order.\nAnswer: j, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -16, -183\/4, 2, 3, -0.12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -460*a - 15*a - 21*a - 125*a in the form y + g*a and give g.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6809?\nAnswer: 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1997199 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -114, -410, -892, -1560, -2414, -3454?\n\"Answer: -93*u**2 - 17*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 2 (c) -4 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*((-16)\/(-6) - 3). Let f be 1\/w + 0 + 3. Suppose -f*x = x. Sort 4, 2, x in decreasing order.\nAnswer: 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6, 22, 72, 174, 346?\n\"Answer: 3*b**3 - b**2 - 2*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**5 + 174*j**4 - 3363*j**3 + 23496*j**2 - 37584*j + 17280 = 0?\nAnswer: 1, 12, 20, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*g*g*(g\/(((g*g\/g**(-2\/11)*g)\/g)\/g))\/g*g*g*g)\/(g\/g**(-1))**(20\/9) assuming g is positive.\nAnswer: g**(532\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.31194953 to 2 dps.\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 7*d**2 - 16*d - 6. Let w be j(9). Suppose 4*t - 2*b - 22 = 36, 3 = -b. Let n = t - w. Is n at least 2\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgo when three letters picked without replacement from {d: 1, w: 1, o: 1, g: 1, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**3\/3 + 2*h**2 + 1. Let v(m) = 14*m + 59 + 3*m**2 - 69 - 2*m**2. Let s be v(-15). Determine u(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79546089?\nAnswer: 3, 7, 499, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -95352 divided by 4\nAnswer: -23838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*d + 18 = 0, 5 = -v + d - 7 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54619 is divided by 1196.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -12*u - 15. Let n be g(-1). Let h(z) = 8*z**2 + 20*z - 10. Let f be h(n). Solve -c + 2*c - s + f = 0, 5*s - 19 = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 3:33 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13618131981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2730 + 521 - 2054 - 7420 - 13282)*(-2*x + 4*x**2 + 2*x).\nAnswer: -99860*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 69 = -3 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.27, 0.1, -1\/54, -11\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 228 = -2*w - 2*w, 2*o - 285 = 5*w. Let a = 132 + w. Which is bigger: 74 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/35? (a) 3 (b) 0 (c) -5 (d) -23 (e) -433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -8*w - 19. Let h(q) = -16*q**2 + 11*q - 11. Let r(i) = -3*i**2 + 2*i - 2. Calculate w*r(m) + 2*h(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5379850.\nAnswer: 2, 5, 7, 19, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-1) - -3) + 1. Suppose -l + 5 = j. Suppose -5*r + 2*v = -j*v - 15, 0 = 4*r - 3*v - 9. Solve 2*q - 3*q - 2 = r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8798*c**2\/3 + 16698602*c\/3 - 3796\/3 = 0 for c.\nAnswer: -1898, 1\/4399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 74\/14 + 2\/(-7). Let g = 158 - 152. Suppose -5*s + 17 = 2*t - g*t, 2*s - 18 = -4*t. Solve 0 = c*f - s*y + 25, f = 2*f + y + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70484357 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + g + 2. Let p(m) = -231*m - 3 + 231*m + m**g. Give p(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 0. Suppose x*k - k - 45 = 0. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + v**2. Let m(o) = 6*o**3 + 13*o**2 + 7*o + 1. Determine m(p) - 5*r(p).\nAnswer: p**3 + 8*p**2 + 7*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -430*v**2*w**3 - 10*v**2 - 2*w**4 + 25*w**2 wrt w.\nAnswer: -2580*v**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1168983*1\/(-47420) - (-6)\/(-15). Let u = -4\/2371 + y. What is the common denominator of (7 - (-7651)\/(-630)) + 1\/5 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102220 + 1021?\nAnswer: -101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 less than -99\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-728)\/(-52)*(-2)\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -972, -3898, -8774, -15600, -24376, -35102?\n\"Answer: -975*g**2 - g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 9*s + 8. Suppose 3*i - q = 21, -3*i + 12 = -4*q - 0. Let o be -16 + i + -1 + 3. What is k(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -74, -1\/3, -1\/5.\nAnswer: -74, -1\/3, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15056 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21699 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*sqrt(110)\/sqrt(10).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 255\/(-10)*(1 - 3) + -1. Suppose 28 = -2*s + j. What is the remainder when 85 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 475 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-7)\/(-2) - 0. Let y = f - -7. Solve 4*h - q = h + 18, 3*h + 2*q - 9 = y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252.5 + -252.3. What is the closest to 0 in -7\/19, -2, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 2*s + 8. Let j(k) = -3*k**2 + 3*k - 8. Suppose 16 = 3*a - 5*z, 5*a + 2*z - 21 = -46. Determine a*j(c) - 4*y(c).\nAnswer: c**2 - c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -1 - (73 - (224 - 150))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llgl. What is prob of picking 1 g and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1)\/(9\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhdhdhhdhhhhhd. Give prob of picking 2 h and 2 d.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - w**2 - w - 2. Suppose 0*k = -5*k + 15. List the prime factors of p(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159680 by 4.\nAnswer: -39920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 36.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -10\/589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 801.3355l to millilitres.\nAnswer: 801335.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 7*m**4\/30 + 34*m**3\/45 - 4*m**2\/5 - 211. Factor w(d).\nAnswer: 2*d*(d + 3)*(7*d - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddsdddddssdsdsssss. Give prob of picking 1 s and 2 d.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23549, 23553, 23559, 23567, 23577?\nAnswer: 23589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9503 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t - 6. Let m(n) = 9*n. Calculate p(m(g)).\nAnswer: 45*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 26*h**3\/3 - 14*h**2 - 107*h - 88. What are the prime factors of k(-4)?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x + 50 = 0. Let b be x*(55\/2)\/5. Suppose -4*u + 5*u = 2*w - b, 0 = 5*u - 3*w + 303. What is u rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 times 6760772?\nAnswer: -196062388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40 + (-3 - -7 - 2). Suppose 0 = 4*i - 2*i - t. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/480*-8*32\/(-12)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1835 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 1. Let c be i(-2). Suppose 22 = r + c*p, 4*r = 2*p + 16 + 28. Let t be 4 + -3*8\/r. Solve t*j = -2 + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 20. Let a(s) = 11*s - 1841. Determine g(a(u)).\nAnswer: -22*u + 3662","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*y - 2 + 19, -s + y = -2. Is (114\/1)\/(s\/6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Is 5846\/7 + (-145)\/35 + h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -2ba?\nAnswer: 2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 0.1?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2014104 (base 6) to base 11.\nAnswer: -6583a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.2 (b) 3\/2 (c) -15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 342*m - 337*m + 2*z - 60, 0 = 3*m - 5*z + 119 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 2587*r - 1750*r + 1462*r + 25 as l + u*r and give u.\nAnswer: -2875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*o - 5*m, -6*m - 14 = 3*o - 2*m. What are the prime factors of 14\/21*3*o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578*d**4\/3 + 480012*d**3 - 299315526*d**2 + 421845840*d - 148802400 = 0. What is d?\nAnswer: 12\/17, 1245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y. Let i be 134\/(-10) + (-10)\/(-25). Let d(p) = p - 6. Let b(h) = -2*h + 13. Let g(f) = i*d(f) - 6*b(f). Determine a(g(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4068 and 11573172.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133322 - -2203013?\nAnswer: 2003031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 2:32 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 26*z + 28. Let l be m(14). Suppose 3*n - 5*n = -14. Solve i + n - 2 = l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/3 + 2*v + 1\/3*v**2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 46*x**2 + 71*x + 104. List the prime factors of h(-8).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -2, 4\/11, -5, -0.2, -2\/7?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1160\/7 - 166. Which is the nearest to -2? (a) 5 (b) z (c) 2\/7 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b**2 + 54*b + 6. What is the lowest common multiple of 6 and f(-7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 4*m - 3*z + 5, -27 = 189*m - 187*m + 3*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 2*t**2 - 5*t - 5. Let j(r) = r**2 + 2*r + 2. Suppose -k + 0 = 5. Determine k*j(z) - 2*f(z).\nAnswer: -2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/98889 - -21458803\/5438895. Let h = 39\/11 - z. Let y = -1 + 6\/5. What is the nearest to h in 1\/7, -2\/3, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2687.775 centuries?\nAnswer: 3225330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24778 by -1062.\nAnswer: -12389\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*q - 23 + 7, -5*q - 6 = -4*r. Suppose 0 = -r*t + 20, 3*m - 8*m - 4*t = 39499980. What is m rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 19, 40, 75, 130, 211, 324, 475?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - s = 2, 4*p + 2*s = 7*s + 37. Let w(c) = 1263*c - 4. Is w(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021222100222 + 1?\nAnswer: 1021222101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*r = 39*r - 12. Let y be (-9)\/22 + 2\/r. Put 5, 0.2, y, 15 in descending order.\nAnswer: 15, 5, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*(-5774 - -4) - 3. What is the highest common factor of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from ieeigehhiehhhhghhh.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 4. Let t be 1*9*(-4)\/6. Let j be u(t). What are the prime factors of 1*(6 - (-4)\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3910 divided by -5\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*s - 68*s + 17*s**2 to the form i + x*s**2 + v*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 1 - 42*q**2 - 22*q**2.\nAnswer: -64*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/5 (b) -0.4 (c) 1098\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 401 - -4232346?\nAnswer: 4233050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 15*x - 11. Let m be k(-12). Find d, given that -2*d**2 + m*d**3 + 8 + 0*d + 8*d - 99*d**3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 2) + (-6)\/3 + -8. List the prime factors of 1\/((-16)\/j) - (-7060)\/16.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/406*(14 - ((-798)\/(-28) + -11))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/50 - 0 - (862\/(-20) + 17).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 265464?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, b: 1, j: 1, o: 1, x: 1, s: 2}. What is prob of sequence sxbj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 + 2. Let u = n + 0.3. Do -1\/4 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 932.\nAnswer: 3\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1560 and 8.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 859186, 1718374, 2577562, 3436750?\nAnswer: 4295938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -1219.\nAnswer: -487.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (6 + -18)) + (-3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1016115 to three decimal places.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 + -0.29. Let n = -45 + 43. What is the closest to -1\/2 in n, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {s: 1, h: 1, x: 5, g: 1, m: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/8)\/h)**28*h**(6\/11)\/(h\/h**(-8)))**(-7) assuming h is positive.\nAnswer: h**(763\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 6 + 68\/(-16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5339 - 0.5\nAnswer: -2.0339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (6 - 11 - 2) - -11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 282\/(-28)*-2 - 6546\/(-7637).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 8. Is -48 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 0\/(-2) + 3 + -1 and 2\/(1 - (-3)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, 109, 546, 1405, 2824, 4941?\nAnswer: 7894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-43290)\/(-156))\/185)\/((-11)\/2).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-3) + (-8)\/6. Let q = 268 + -267. What is the nearest to -1 in q, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 + 56*u + 4834. Calculate t(51).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 98 - 7 = -3*s, -5*u + 115 = -4*s. What is the second derivative of -u*x**5 - 18*x**5 + 0 + 1 - 45*x**5 + 2*x wrt x?\nAnswer: -1640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1439c (base 13) to base 16.\nAnswer: 9461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 37 (b) -12\/13 (c) 1\/30 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004 (base 8) in base 11?\nAnswer: -42a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2288*k**2 - 1510*k - 55. Let h(w) = 2290*w**2 - 1511*w - 66. Let u(y) = -6*d(y) + 5*h(y). What is the second derivative of u(q) wrt q?\nAnswer: -4556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 12*o - 28. Let x be r(9). Put -7, 3, x, 4 in decreasing order.\nAnswer: 4, 3, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 9*m - 23, -23*m - 5 = x - 21*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of (-156)\/((-24)\/14*(-27)\/(-216))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 8:36 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1361 - 683 + 6*z - 6*z - 678 - 22*z**2.\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1157242941 - 26.\nAnswer: -26.1157242941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (4 + sqrt(700) + sqrt(700))*4)**2 + (((sqrt(700) + sqrt(700) + -2 + sqrt(700))*6 + sqrt(700) - sqrt(700)) + 3 + (sqrt(700)*-2 - sqrt(700)))**2.\nAnswer: 660*sqrt(7) + 202822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let r(a) be the first derivative of 3*a**2\/2 + 5. Determine o(r(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 588263.3 micrograms in grams?\nAnswer: 0.5882633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 82*p - 1665 = 42*p for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -173798823*u**2 + 130561626 wrt u.\nAnswer: -347597646*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*s - 5*s - 336 - 274 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 164855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*k + 266*k + 2436*k = -2940*k + 581910 for k.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -2627.08.\nAnswer: -2624.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**3 - 17*g**2 + 54*g + 21. Let k(r) = 2*r**3 - 6*r**2 + 18*r + 8. What is 6*i(d) - 17*k(d)?\nAnswer: 2*d**3 + 18*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + ((sqrt(133) - sqrt(133)*2) + sqrt(133))\/sqrt(7) + -2)**2.\nAnswer: -4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r - 786. Let x(f) = -19*f - 1575. Calculate -4*x(s) + 7*y(s).\nAnswer: -s + 798","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -63. Let r(v) = v**2 + 49*v + 517. Let u be r(-32). Let s = n - u. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*c - 15, 9 = c + 4. Let g be 10*(9\/m)\/3 + -1. Solve -15 = 5*y, -5*s - y - 12 = -g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 1 + 1)*(16 - 38 - 20)*(-2 + 3 + 1).\nAnswer: 84*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -18*u**2. Suppose 0 = 88*b - 86*b - 22. Let f(w) = -w - 3*w + b*w - 8*w. What is j(f(p))?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46448*u + 2*u**3 - 46448*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59572829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/30*(-10)\/4. Let g(b) = b**3 + 4*b**2 + 2*b - 3. Determine g(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 5*v**4\/12 + 5*v**3\/6 - 5*v**2 - 2*v + 12. Factor t(s).\nAnswer: 5*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -0.1, -3\/7, 2\/15, 1\/4 in descending order.\nAnswer: 1\/4, 2\/15, -0.1, -3\/7, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22*1*(-251 + 250) - 61\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2047600781 to two dps.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2913 + -2546. Which is the second biggest value? (a) -1 (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002380749072 to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21025827 and 292025375.\nAnswer: 2628228375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27028589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6209 - 3?\nAnswer: -6211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 3*f**2 + 9*f - 9. Let w be b(-5). Let z be (w\/(-5))\/(6\/(-360)). Let h = -22 - z. What is the highest common factor of 26 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, -5.\nAnswer: -12, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 519 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t + 2*t**2 + 11*t - 27*t + (-19*t + 7 - 7)*(4*t - 6*t + 3*t) as h + o*t**2 + u*t and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19622037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3438, 6878, 10318, 13758, 17198?\n\"Answer: 3440*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2)*(-40*u - 164*u + 51*u)*(-2 + 4 + 4) + 3 - u - 3 + (-2 + 2 + u)*(-3 + 5 + 0) - 3 - u + 3 as r*u + i and give r.\nAnswer: 1836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1336796, 5346501, 12029342, 21385319, 33414432, 48116681, 65492066?\n\"Answer: 1336568*t**2 + t + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*sqrt(143) + sqrt(143))*-4*4)\/((sqrt(99) - (2*sqrt(99) + sqrt(99) - sqrt(99)))*-5).\nAnswer: -128*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*d**3*j**2 + 85*d**3 + 27*d**2*j**5 - 21*d**2*j wrt j?\nAnswer: 54*d**3 + 540*d**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*g + 12, -108*g + 113*g + 5*u = 30. Let d = -8 - -6. Let k be d*(-4)\/(-24)*-39. Solve -17 = 2*x - 3*p - 5, g = 5*x + p + k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 773.32 - 278.32. Which is the third biggest value? (a) -1\/5 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40508 divided by -494\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -5. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - (-5)\/3)*10413\/89 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -956.897251 rounded to two decimal places?\nAnswer: -956.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 24336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13419*k - 14898*k = 102051 for k.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 57*a - 9 = -54*a, -v - 75 = 19*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -7328, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -68*r - 31. Is h(-20) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 31*(1\/8 - 77\/(-88)). Solve 12*w - p = 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -345 - -20. Suppose 0 = -98*y + 101*y + 1542. Let p = q - y. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((-5)\/(-85))\/((-2)\/98)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 167576.\nAnswer: 167576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1706, -2657 in descending order.\nAnswer: 1706, -10, -2657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1019*x**2 + 480*x**2 - 810*x**2 + 67 - 67.\nAnswer: -1349*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 - -936\/7. Let z(y) = 2*y + 5 + 0 - 3*y + 0. Let q be z(6). Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 - (-160 + 150)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 4*g + 20. Suppose 3*s - g*s = -334. Suppose -y + 320 = -s. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23091684 divided by 469\nAnswer: -49236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-100) - (-286)\/(-140))*(-161)\/414?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3986923966 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 248 + -210. Calculate the remainder when b is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1401 by 725688.\nAnswer: 467\/241896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -180*s - 270*s + 163*s - 240*s in the form a + i*s and give i.\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.031 + 10.031. Which is the second biggest value? (a) -60\/11 (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.147 - -0.055. Round g to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.16328 - -0.33672. What is the second biggest value in -0.1, -2, 0.42, a, -5?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 6*f + 15. Let d be x(8). Is 3 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:49 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p - 1. Let b(i) = 5*i - 3. Let o(g) = 2*b(g) - 3*t(g). Let a(n) = -7*n - 13. Give 2*a(u) - 9*o(u).\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {o: 3, i: 1, g: 5, r: 3, a: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a factor of 20685112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -9*l**4 + 4529*l**3 + 207839*l**2 - 242072061*l + 53783478 = 0.\nAnswer: -211, 2\/9, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.997 - 7. Let c = 0.002958 + p. What is c rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 4, 1\/6, 0.3, -1\/840?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 t when four letters picked without replacement from vtvvtvvvvtvv?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 14*w - 93. Let q be p(7). Suppose -q*g - b = -3785, -2*b = 3*g - 1190 - 1088. Does 46 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6 - 5. Let w(u) = 1 + 43*u**2 - 26*u**2 - 2*u - 24*u**2. Give w(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*((3*j + 0*j - j)*(-4*j**2 + 2*j**2 + 0*j**2) - j**3 - 4 + 4 + 4 - j**3 - 4 - 30*j**3 - 140*j**3 - 24*j**3 + j**3 - 3*j**3 + j**3).\nAnswer: -201*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*v + 12, -4*o - 28 = 5*v - 6*o. Which is the nearest to -2\/3? (a) -1\/18 (b) 2\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 129, 123, 113, 99, 81?\n\"Answer: -2*w**2 + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 40*y - 38*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 5296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10742 - 2*o - 10742. Let c(r) = 27*r**2 - 5*r. What is c(n(a))?\nAnswer: 108*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1220?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3059156.\nAnswer: 2, 764789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*t = 120*t + 68 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1632947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 179, 489, 1149, 2327, 4191, 6909?\n\"Answer: 28*g**3 + 7*g**2 + 93*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -74. What is the remainder when z is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 8*j + 2. Let n be k(-8). Suppose n*q = 6 - 0. Determine s, given that s**2 - s**4 + 2*s**2 - 4*s**2 - 2*s**q = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t - 6. Calculate s(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, a: 3}. What is prob of picking 3 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459072625?\nAnswer: 5, 11, 333871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 271 - 274 - -10*(-1 + 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.32 (b) -4 (c) -8 (d) 0.2273 (e) -2\/9 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 4 (c) -1\/13 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -3, 151090 in descending order.\nAnswer: 151090, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 2*y**2 - 7*y - 1. Let g be l(-2). Let w be 1 + -3 + 2 + 0. Let o = g - w. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 1, l: 2, n: 1}. What is prob of picking 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 6:56 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*g + 7 = 0, -2*c + 62 = -5*g + 55 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -21 - (-32 + 25 + 29 + -9)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1212639872 to 6 decimal places.\nAnswer: -0.121264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 = 6. Suppose -4*m - 203980 = -5*s, m + 40805 = s + o*m. Let x be ((-80)\/(-6))\/(2\/s). Round x to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 9:09 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153734 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13683658094 + -0.51?\nAnswer: -0.37316341906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-20) + 338\/24. Let k = z + -15. Let i(x) = x**3 + 5*x**2 + 4*x - 3. Let n be i(-4). What is the nearest to k in n, -2\/3, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -342 and 125414823891.\nAnswer: 125414823549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4700\/63 + -495\/7. Calculate the common denominator of m and 77\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1376.9 + 1377. What is the nearest to -0.1 in 4, -2, 40, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38798 is divided by 19393.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -25. Let g(v) = v**3 - 2*v - 1. Let x be g(-1). Suppose -r*h = -x*h - 10. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -13*v**3\/3 - v**2\/2 + 141. Calculate b(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 411145 and 120925.\nAnswer: 2055725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 9995000 to the nearest one hundred thousand.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.063 + -0.043. Let j = -0.02 + s. Let x = 1 - j. Sort -1, -3, x in increasing order.\nAnswer: x, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.058 (b) 7\/9 (c) -0.5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8151, 14294, 20437, 26580?\n\"Answer: 6143*m + 2008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:42 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.3 and 0.0835 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-8)*k**8*(k*k**(1\/2))**(-40)*k**6*k\/(k\/(k\/k**(-5\/3)))*k*(k\/(k\/((k\/(k\/(k\/(k**(-3\/5)\/k))))\/k)))\/k**(3\/5) assuming k is positive.\nAnswer: k**(-148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031077 to 4 dps.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11)\/x**(6\/5))\/(x*x*x**(-3)\/x*x)**(-2\/29) assuming x is positive.\nAnswer: x**(-1779\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**11\/(((l\/l**13*l)\/l)\/l*l))\/(l**(-8)\/l**2) assuming l is positive.\nAnswer: l**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3 + 84*k**2 - 4*k - 84 = 0. What is k?\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -15. Which is the third biggest value? (a) -2\/7 (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 2*l + 3, -7*x - 2*l - 8 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245668 is divided by 284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.041 + 0.087016755.\nAnswer: 0.128016755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 1, -39953, 24.\nAnswer: -39953, -4, 1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 8*q**2 + 15*q - 2. Let c be (5\/((-5)\/(-3)) - 0)*(-20)\/(-6). Determine t(c).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a - 40. Let g = 136 + -199. Let j = 73 + g. Calculate the highest common factor of a and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -22*u**3 + 2*u**2 - 34*u**3 + 58*u**3 - 4 - u. Determine i(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 50, 10\/11, 1534.\nAnswer: 2\/9, 10\/11, 50, 1534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59663287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*y + 29*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - g + 24. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1011 + 11?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29 - 42*f**2 + 74*f**2 + f**4 - 34*f**2 with respect to f.\nAnswer: 4*f**3 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2452426811.\nAnswer: 593, 4135627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -44420133 (base 5) to base 4\nAnswer: -1132322321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 334*r**3 - 333*r**3 + 6*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6018 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -y - 123*y**3 - 131*y**3 - 125*y**3 + 0*y - 5298 + 158*y**2 + 384*y**3 wrt y?\nAnswer: 15*y**2 + 316*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Suppose 4*q = -d*q + 12. Is q\/((-5)\/(10\/(-3))) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 62. Let s be (-2)\/7*2\/4. Put s, 0.5, f in increasing order.\nAnswer: s, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 4:21 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 6) + -16 + -26 + 37\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**4\/4 + 18*t**3 + 6*t**2 - 32*t + 266. Find the second derivative of f(o) wrt o.\nAnswer: -6*o + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 1, -4, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o + 2*o)*(6 - 2 - 2)*(4*o**2 - 4*o**2 - 2*o**2) + (0*o + 2*o - 3*o)*(-o**2 + 4*o - 4*o) - o**3 + 4*o**3 - 2*o**3 + o**3 + 2 - 2.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) -46 (c) -0.15 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 2*h + (-2 + 4 - 1)*(-2 + 2*h + 2) + 2*h + 0 + 0 + 4*h - h - 4*h - 198*h + 234*h + 197*h in the form l + k*h and give k.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (18942\/15785)\/(-1*2\/10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.068*0.5\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, e: 2, c: 1, p: 3, z: 6}. Give prob of sequence yez.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 1\/3*z**3 - 42*z**2 - 206 - 249\/4*z**4 + 0*z. What is the third derivative of x(l) wrt l?\nAnswer: -1494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 65421.17l?\nAnswer: 65421170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1259*q**4 + 490*q wrt q.\nAnswer: 15108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 197 + 177 = 4*p, 0 = 3*p - 3*o + 9. Let y(j) be the third derivative of -j**5\/60 - j**4\/4 - j**3\/3 - j**2. Determine y(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -278\/9 or -1.1?\nAnswer: -278\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6455 is divided by 127?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2\/5, 3, 0.03 in decreasing order.\nAnswer: 3, 2\/5, 0.03, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -10120221220220100?\nAnswer: 10120221220220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 2, x: 1, q: 1, m: 10}. What is prob of picking 2 m?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 3*t + 6 + 3 in the form j*t + b and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48, -83, -164, -309, -536, -863, -1308?\n\"Answer: -3*k**3 - 5*k**2 + k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 40*q - 2. Let c(z) = 16*z - 1. Determine -12*c(g) + 5*j(g).\nAnswer: 8*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*y**3 - 36*y**3 - 17 + 11*y**3 wrt y.\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -433? (a) -8 (b) 4\/5 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-5)\/(-40)). Let i(a) = -a + 15. Let d be i(12). Suppose 3*l - 2*j - 15 = -6, 0 = d*l + 4*j - 27. Solve -l*u + 14 = h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/9 - 88*a**4\/9 - 16600*a**3\/9 - 531580*a**2\/9 - 4821802*a\/9 + 5370068\/9 = 0. What is a?\nAnswer: -31, -22, 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvovrvvrsvvvsspsvv. Give prob of picking 1 o and 1 p.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526 = -2*o + 2*y, 2*y - 6210 = o - 6476. Calculate the greatest common divisor of 1495 and o.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 18 - 23 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pddddgpddgdddd. What is prob of picking 2 p and 2 d?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9642 divided by -3.\nAnswer: -3214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/9)\/(10\/12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*v - 2 = 0, 5 = -4*k + v - 16. Let m = 62 - 71. Is k\/(-12)*-4*m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5203261.94000078 - -5203262. Let z = 0.06 - p. Round z to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -195, 4 in decreasing order.\nAnswer: 4, 2, -1, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 344 + -236. Calculate the greatest common factor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119232 and 316848.\nAnswer: 34219584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -223200 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 12*s + 15. Let h be u(10). Let l be -3 - (-1 + 3)\/(-1). Let w(c) = 1. Let j(d) = d - 2. Let y(q) = l*j(q) - 3*w(q). Calculate y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(192) - (sqrt(192) + 5 + sqrt(192) + sqrt(192)*1 + sqrt(192))**2).\nAnswer: -3093 - 312*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76184005*g - 35040983 wrt g.\nAnswer: -76184005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*p**3 + 55*p**3 + 62*p**3 - 169*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 80 = -6*k. Suppose 2*i + k = 2*f - 2, 3*i + 9 = f. What is the smallest common multiple of f and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3 + 1 + 1. Let q be (1\/(-2))\/((66\/12)\/11). Let d(n) = n**3 + 5*n**2 + 6*n + 6. Let o(z) = q*v(z) + d(z). What is o(-5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -207\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173\/4, -9, 2\/15, 0.4, 1 in descending order.\nAnswer: 1, 0.4, 2\/15, -9, -173\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3575*i - 3753*i + 7055*i. Let h(g) = 6*g**2. What is h(r(n))?\nAnswer: 447174*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*q - 161. Find the second derivative of -6*o + 4*o**3 - q*o**3 - 18*o**3 - 6*o wrt o.\nAnswer: -294*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009858695 rounded to 5 dps?\nAnswer: 0.00986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 12. Let j be ((-1)\/w)\/((-3)\/(-18)). Let g be j*(4\/16 + 7\/4). Which is the third smallest value? (a) -3 (b) g (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151 - 148. Sort 2, z, 0, 5 in decreasing order.\nAnswer: 5, z, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 31 - -1) + 17 - 8\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*r**4 + 2*r**2 - 16 wrt r.\nAnswer: -36*r**3 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -214, -5, -1\/9?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 52. What is the derivative of k - 34 + 9 - 9*i**2 wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5620205273 to three dps.\nAnswer: -0.562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-1)\/(-1)))\/(15\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*l + 7. Let u(r) = -5*r**2 + 24*r + 74. Let f be u(7). Which is the nearest to 0.2? (a) f (b) 4\/3 (c) -1\/4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4966\/(-52))\/(3\/(-66)). Is 2101 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.032 and -0.05?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -163795, -164031, -164271, -164515?\n\"Answer: -2*c**2 - 230*c - 163563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 11:11 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {p: 4, q: 5, c: 2, g: 2}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z - 4*z)*(-3*z**3 - 2*z**3 + 2*z**3).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.643 - -4.443. What is the nearest to -0.3 in 0.047, -0.5, 5\/6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -823780357697549.0000068 - -823780516536287. Let s = v - 158838767. Let x = s + 29. Round x to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*72\/(-31416))\/((-9)\/63).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 8:42 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1584489059.\nAnswer: 19, 157, 531173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0.1, -1\/2, 0.2548, 2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*t - 6037 + 5191 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1421 - 1499.7. Let o = -70.87 - p. Round o to 1 dp.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24520320)\/2726784 + 2\/(-263)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 66 = 129. Let z = s + 66. Is 17\/51*(z + 6302) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119712 divided by 688?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - 38 - (7 - (9 + 4 - 2)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + -9 - (25 - (-13 + 23))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*r + 9*r + 0*r**4 + 7*r**4 wrt r?\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15421\/234 - 804\/13. Calculate the common denominator of ((-19)\/5 - 3\/(-3))\/(180\/125) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39360 divided by -16\nAnswer: 2460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -10*q**4 - 214*q**3 + 132*q**2 = 0.\nAnswer: -22, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(112) + 1)**2.\nAnswer: 8*sqrt(7) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*5\/(-8) - 15*(-19)\/(-570). Let q(i) be the first derivative of -g*i**2 - 1\/12*i**3 + 21 + 1\/4*i + 1\/16*i**4. Let q(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Suppose 0 = -d, 5*d = -o*q + 5 + 15. What is the least common multiple of q and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 10:41 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**3 - 60*w**2 - 4*w + 60 = 0?\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67264405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 3*s**2 - 19*s + 1. Let b be h(3). Let j be (10\/(-4))\/(2\/(-4)). Sort 8, b, j in ascending order.\nAnswer: b, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 671.2202 tonnes?\nAnswer: 671220.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 666.8816 weeks in seconds?\nAnswer: 403329991.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {g: 4, t: 1, q: 2, r: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003789189805 rounded to four dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3 + 5 + 27*v in the form i + h*v and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -35\/4, 4, -0.24, 8, -2, -0.045 in descending order.\nAnswer: 8, 4, -0.045, -0.24, -2, -35\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-141)\/(-12)*-2. Let k = t - 53. Let g(b) = 2*b**2 + 2*b + 14. What is the tens digit of g(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 355, 418, 531, 700, 931?\n\"Answer: a**3 + 19*a**2 - a + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - w**4 + w**4 + (-w**2 + w**2 - 3*w**3)*(-15*w**2 + 45*w**2 - 21*w**2).\nAnswer: -26*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/291200 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -29. Sort 1\/2, n, 2 in descending order.\nAnswer: 2, n, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4786 + -38353\/8. What is the common denominator of 37\/6 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -758, -1349, -1904, -2411, -2858, -3233?\nAnswer: -3524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3538832 is divided by 196589.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b - b)*(434*b**4 + 2201*b**4 - 20*b**4).\nAnswer: -5230*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2*(17 - 15). Suppose 30 + g = -6*f. What is the units digit of (8\/12)\/(f\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - 4*x - 1. Let r be j(2). Solve -r*u - 2*z - 3 = -4, -2*u - 2*z = 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1245 - -1313. Calculate the least common multiple of (0 - 12)*2\/(-4) and t.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 137\/274 + 6\/4. Factor 1\/3*j**5 - j**4 - 2\/3*j + j**l + 0 + 1\/3*j**3.\nAnswer: j*(j - 2)*(j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2838, -2952, -3142, -3408, -3750, -4168, -4662?\n\"Answer: -38*v**2 - 2800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d + d**2)*(-3*d + 4*d + 0*d) + 20*d**2 - 4*d**3 - 20*d**2 - 24 + d**3 - 30 + 1.\nAnswer: -2*d**3 - 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 7 - 81 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - l + 3*l - 2 = 0, 29 = 3*t - 4*l. Suppose 2*p + 20 = s, 5*p = -t*s + 4*s - 5. Suppose x = 19 + 1. What is the highest common factor of s and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 460*q + 2*q**4 - 6 - 461*q - 4 + (0*q**2 + 4*q**2 - 2*q**2)*(5 - 6*q**2 - 5) - q**3 + q**3 - q**4.\nAnswer: -11*q**4 - q - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -4*f - 5*w, 5*f = -0*f - w + 799 - 683 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196983254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + v + (1 + 3 - 3)*(3*v - 2*v - 3*v))*(2 - v - 2).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 650 + -645?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438 a factor of 81086087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 8*q - 9*q + 5 - 7, 156*w - 2 = q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -75 (b) 9 (c) 5 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. Suppose -28 = z + f. Let b = 46 + z. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**2 + 0 - 5*q + 1\/6*q**3. Give i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + k - 6 = 0, 23*g - 18*g - 10 = -5*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y + 3 - y - 4*y. Suppose -l - 2*l - 15 = 0. List the prime factors of s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**3\/5 - 9*s**2\/10 + 6*s\/5 + 8. Factor q(h).\nAnswer: 3*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n + 2*p + 5, 4*n - 6 = 5*p. Calculate the remainder when 225\/18 + n\/2 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by -6\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 9*q**2 + 6*q - 5. Let r be l(-8). Let n(p) = -5*p**2 - 1. Let w be n(2). Let a = 32 + w. Calculate the greatest common divisor of r and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233013022 (base 4) to base 16.\nAnswer: -2f1ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4 - 28. What is the remainder when -4*-55*6\/d is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(15\/2)*t*t)\/(t*t\/(t*t**(-16))) assuming t is positive.\nAnswer: t**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 45 - 226*i**2.\nAnswer: -226*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x - 7 + 1 + 5.\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 0*l - 2 + 5*l**3.\nAnswer: 5*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpr when three letters picked without replacement from {v: 6, r: 3, p: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3840\/55 + (-4)\/(-22) and (-56)\/12*6\/(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g - 3*g**3 + ((2 - 6 + 2)*(2*g + 0 + 0) + 14*g + 0 - 16 - 15*g)*(g + 2*g**2 - g).\nAnswer: -13*g**3 - 32*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1089, 3, 10\/17, -1\/11 in descending order.\nAnswer: 3, 10\/17, -1\/11, -3, -1089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in -0.0685, 0.3, 3\/4, -1\/7, 2, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2 + 8616*x = 0.\nAnswer: -2872, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63888, 255562, 575020, 1022262, 1597288, 2300098?\nAnswer: 3130692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q**2\/7 + 591691*q\/7 + 98615\/7.\nAnswer: (q + 98615)*(6*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15 - 9752*y + 1448 - 7262 - 1174 wrt y?\nAnswer: -9752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5.4 (b) -2 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -8) + 0 + -2 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 7*h - 8*h + (-2 + 2 + 2)*(-2 + 0*h - 2*h + 5*h))*(-3*h**2 + 3*h**2 - 4*h**4).\nAnswer: 4*h**5 + 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -127701\nAnswer: -20\/127701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, h: 4, p: 1, w: 1}. What is prob of sequence ehhw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-12))\/((-1)\/4*-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130610 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(462\/(-455)) + 7)\/3.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 842\/71 or 12?\nAnswer: 842\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10909?\nAnswer: 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 0*p + 0*p + (2*p + 0*p + 0*p)*(-2*p - 1 + 1) + (-544 + 544 - 4*p**2)*(2 + 1 - 4).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 22*q - 18*q - 58, 3*f - 42 = -3*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62 - 11?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3*p + 0*p)*(12*p - 11*p - 32*p + (0 - 4 + 2)*(0 + 2*p + 0)).\nAnswer: 70*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72690370?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - 2*k - 8*k)*(2*k + 3*k - 7*k - 2) in the form g + j*k**2 + q*k and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1106 in -0.1, -4, 0.1, 2, -0.9, 9.1?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 - 2.1. Let p be (-2)\/(-4) - 30\/24. Which is the closest to x? (a) 4 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6730 and -0.01342.\nAnswer: -6730.01342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*c - 21 + 2*c + 51 - 30.\nAnswer: -68*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*b = -1148, 5*f + b = 2*b - 1902. Let w be (-1)\/6 - f\/(-24). Let v = -8 - w. Solve s = 4*o + 7, -2*s = -s + o + v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*1 + -3 + -5 + sqrt(50)\/(sqrt(100)\/sqrt(90)).\nAnswer: -8 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/19645611 and -54\/25?\nAnswer: 491140275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 25 = 3*k - 34, -5*k + 101 = -4*h. Suppose -4*p - 5*t - k = 0, -2*p - 1 = -0*t + t. What is the derivative of 0*g**2 + 3*g**p - 2*g**2 - 1 wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6364 + 52?\nAnswer: -6312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -1.4, 4\/7, -0.5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let c(y) be the first derivative of -10*y**3\/3 + 5. Calculate x(c(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -829?\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110001101000000011 (base 2) to base 3.\nAnswer: -212122102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 16*j + 25*j**2 + j**3 - 20*j**2 - 7 - 31*j. Let t be x(-5). Calculate the greatest common factor of 85 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**4\/24 + 13*n**3\/2 + 5*n**2 + 4. Give q(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 + -46. What is the remainder when d is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + -2*(sqrt(68) + 1)))**2 + (sqrt(51) - sqrt(1275)*1)\/(sqrt(3) - -6*(sqrt(3) - (sqrt(3) + sqrt(3)*-2))).\nAnswer: 4676*sqrt(17)\/13 + 2673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -698949 divided by 7\nAnswer: -698949\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*j, 3*y + 3*j = 8*y. Suppose -4*s + 9*s - 15 = y. Suppose 4*d + s*m + 204 = 0, -d = -3*d - 5*m - 88. Which is bigger: -53 or d?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 15. Suppose 8 - 53 = -x*i. Let s be (-8)\/(-20) + (-28)\/(-5). Solve -d = -s*d + i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1442\/9 - -160. Which is smaller: v or -3\/34?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffsf when four letters picked without replacement from {f: 4, s: 14}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + x + 11. Let l be h(25). Let k = 591 + l. Factor 3\/7*w - 2\/7*w**3 + 3\/7*w**4 - 2\/7*w**k - 1\/7*w**5 - 1\/7.\nAnswer: -(w - 1)**4*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 2*j**3 - 5*j**3 + 4*j + 4*j**3 - 2. Let o be ((-2)\/(2\/(-3)))\/((-6)\/(-4)). Give w(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 3. Let t(i) = i - 2. Let q(z) = -z + 2. Let y(r) = -3*q(r) - 2*t(r). Suppose 4*l - 6 = -18. Let n(s) = l*y(s) + 2*h(s). What is n(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**2 - 5*p - 21. Let l(z) = 10*z**2 - 6*z - 19. Give -5*l(n) + 6*y(n).\nAnswer: -2*n**2 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from umflmumllmmmmj. Give prob of sequence lfum.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 46 = -3*c. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 17*m = -924. Suppose 3*k + 5*g + m + 3674 = 0, 0 = 4*k - 3*g + 6092. Is 2\/(-3 - 3) - k\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:07 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from {c: 5, r: 6, y: 4, p: 2}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Sort 75738, 15, -1, 2, -5.\nAnswer: -5, -1, 2, 15, 75738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.182 - 1.818. What is the closest to -0.12 in 1\/5, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 9*x + 13. Let v be u(10). Suppose v*o - q - 41 = 0, -4*q - 5 = 15. What is the least common multiple of o and 296?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208493837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 1. Let b(s) = -s**2 - 7*s - 1. Let u be b(-7). Let t(p) = -4*p + 1. Let o(d) = 8*d - 2. Let v(y) = -2*o(y) - 5*t(y). Give u*v(j) + 3*z(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 17 = g, 83*g = 85*g + a + 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6308 - -1189.239\nAnswer: -5118.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (193*o + 17 - 389*o + 185*o)*(-2 + 2 - 2)*(o + 11*o - 11*o + o**2 - 2*o**3) to c*o**2 + f*o + i*o**4 + b + k*o**3 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3165.897 days?\nAnswer: 273533500800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 6*h + 5. Let p be g(5). Let w = p + 3. Solve w*a + 19 = 4*o + o, -4*o - a + 5 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -21. Suppose 4*p = 90 - q. Let t(o) = 5*o - 8. What is the smallest common multiple of t(6) and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**5 + 7*x**2 - 7*x**2)*(-4 - 2 + 1) + x**5 - 2 + 2 + (x**3 - 3*x**3 - x**3)*(-2*x**2 + x**2 + 0*x**2).\nAnswer: 24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 = 5*f. Let y = 34.5 + -38.5. What is the smallest value in -14, -0.5, y, f?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225 + 681. Suppose 2*w - x = -w. Is (w\/(-24))\/(1\/(-6)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -621\/7 - -89. Is -33 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*q**4 - 12 + 269*q**4 + 14 - 32*q - 126*q**4 wrt q?\nAnswer: 3096*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 4 + -1 - 26 - 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from {x: 1, m: 2, z: 2, c: 1, v: 1, t: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 17?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d + 497. Let m be k(0). Suppose 2*j = m + 151. Suppose -j = 5*z - 1409. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + (sqrt(475) - -1*sqrt(475))*1)**2 + -1.\nAnswer: 1894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*y - 0. Let j(g) = -17*g**2 - 39*g - 4. Let z be j(-2). Sort -4, y, 5, z in decreasing order.\nAnswer: z, 5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -329 + 745. Suppose 16*j = 14*j + i. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049956926 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25*5\/(25\/5). Calculate the greatest common divisor of o and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2128 and 42.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = r + 7*r. Suppose 2*v + 7 + 23 = 0. Let t = v - r. What is the remainder when 28 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/4)\/(1 - (-52)\/(-44)). Find q such that -32*q + 3*q**2 + 40 - 7*q**2 - 15 + k = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snll when four letters picked without replacement from {s: 1, l: 11, a: 5, n: 3}.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - b = 19, -4*i - b - 2*b = 9. Let a = i - -4. What is the units digit of (-8 - (a + 0))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k. Let l(t) = t + 6*t + k - 5. Is l(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 48, -5, -2 in descending order.\nAnswer: 48, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, w: 2}. Give prob of picking 2 w and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(567)*-2)**2 - (0 + sqrt(1008) + 0)) + 0.\nAnswer: -6804 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least as big as 138\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 185, 267, 343, 413, 477?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -19\/2*d**4 + 1\/2*d**5 - 173*d**2 + 63*d**3 + 385\/2*d - 147\/2 = 0.\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-24) - 10\/(-5)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 11 - 28*f + 68*f - 17*f - 32 to r*f + l and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2926.\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -412, -4066, -14038, -33502, -65632, -113602, -180586, -269758?\n\"Answer: -529*f**3 + 15*f**2 + 4*f + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8666221 is divided by 5828?\nAnswer: 5813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92871152 to the nearest integer?\nAnswer: 9637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 523603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 3, m: 5, l: 7, i: 3}. Give prob of picking 3 l.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8448 + -8598.2. What is o rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59.016 + -59. Let j = -0.216 + p. What is the third smallest value in -5, 4, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4569 + 35614*c**3 - 2934 - 40037*c**3 wrt c?\nAnswer: -13269*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - p = -2568. Let m = p - -109. Solve -s + 9 = m*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 7) to base 8\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200 - -2001?\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 404422*j - 4853084. Calculate d(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-10)\/132))\/(556\/1390).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, -1.1, -28, 5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -324*p**2*t + 2*p**2 + 3*p*t + 67*t + 2 wrt p?\nAnswer: -648*p*t + 4*p + 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 7*r + 2. Suppose 3*s + 463*u = 468*u - 20, 17 = -3*s + 2*u. Let q(o) = -o. Give s*q(y) - h(y).\nAnswer: 2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2))**(-2\/27) assuming i is positive.\nAnswer: i**(1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 6*s**2 + 3*s - 4. Suppose 0*y + 10 = -2*y. Let f be b(y). Let k = 18 - 13. Solve -f = k*r + 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.57 - -1.57. Which is the fourth smallest value? (a) 0.2 (b) s (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (77\/99*(-48)\/21)\/(4\/(-6)). Solve 8\/3*i**3 - 2 + 12*i**2 - 10*i**4 + t*i**5 - 16\/3*i = 0 for i.\nAnswer: -1, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064685.474 rounded to the nearest one thousand?\nAnswer: 1065000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 13*j**2 + 38*j - 5. What is v(12)?\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - -36. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 20, 0 in increasing order.\nAnswer: -3, 0, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 1, x: 1}. Give prob of sequence hx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14398 divided by -5\nAnswer: 14398\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c + 120*c - 64*c - 34*c + 11*c - 6*c**2 - 8*c**2.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16356)\/(-30))\/(664\/(-7)). Let j = -17\/166 + u. Calculate the common denominator of -51\/20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 28) + (299 + -123 - 166)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7414792 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 665378*g*r*x + 4*g*r + g*x - 13350*g - 3*r + 3*x + 77 wrt r?\nAnswer: 665378*g*x + 4*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 331 (base 8) to base 5\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 248 = 3*u + t, 2*u - 83 = 5*t. Suppose 7*v + 36 = l + 2*v, -v - u = -4*l. Let g = l + -6. Solve -2*s = -0 + 2, 5*q - g*s - 5 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(21) - sqrt(21)*4)*-4)\/(sqrt(15)\/sqrt(5)*5)*1.\nAnswer: 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 u, and 1 s when four letters picked without replacement from {s: 3, u: 2, z: 1, b: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-4 - 0\/(-1)). Let o = 4 - d. Let s = o + 2. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + w - 5. Suppose 5*k = 16 + 104. Suppose 4*d = -3*c + 24, 3*c + 2*d - k = 5*d. Calculate the smallest common multiple of c and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -3, 827 in ascending order.\nAnswer: -3, 4, 5, 827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 30. Let n be -1 + (-1 - -4) - q. Suppose 5*x + 3*g = g + 9, -4*g = -n*x - 5. Is x greater than or equal to 3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + 4*sqrt(85)\/sqrt(5))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + z**4)*(0 + 0 - 1)*(-13*z + 6*z + 4*z).\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010825 to four decimal places.\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 15\/(-6)*27\/(-20). Let g = 226\/3 + -74. Let o = -132 + 658\/5. Which is the second biggest value? (a) o (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8655349223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 - (70 - 36 - 39 - -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z**2 - 2*z**2)*(-3 + 2 + 0 + (3 - 7 + 3)*(2 + 0 - 4) + 4 + 0 - 5 + 18 - 1 + 1) + (-4 + 3 - 1)*(-40*z - 2*z**2 + 40*z).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 378, 749, 1106, 1443, 1754, 2033, 2274?\n\"Answer: -l**3 - l**2 + 381*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 27. Let f = 0 + -7. Let y = f - l. What is the closest to 0.1 in 0.4, 5, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -357 or -413?\nAnswer: -357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 4*p + 1 + 14 + 4. Let z be d(-9). Solve -z = -5*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51737\/55 + -940. Calculate the common denominator of z and -113\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7576 rounded to 2 decimal places?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -230\/53 in 0.3, -1\/7, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2838045?\nAnswer: 3, 5, 7, 151, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 5:04 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 196\/7*(-252)\/(-98). Solve -27*k - b = -9*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1724*a + 3258 + 3638 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*d + 4, -3*d = -2*c. Suppose -j = c*u - 18, 5*u - 14 = -j + 14. Solve 0 = -u*h - 0 - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/5 - 76*t**4\/5 - 212*t**3\/5 - 64*t**2\/5 + 214*t\/5 + 28 = 0 for t.\nAnswer: -35, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649309.\nAnswer: 1649309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - 3*(sqrt(99) + 2*sqrt(99)))\/sqrt(9) + -2.\nAnswer: -8*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 4961, -3, -5 in decreasing order.\nAnswer: 4961, 5, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p - 53\/4*p**4 - 2\/3*p**3 - p**2 - 2. List the prime factors of f(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(209) + sqrt(209) + 5*sqrt(209) + sqrt(209))\/sqrt(11))**2 + sqrt(19) + (sqrt(19) + sqrt(19) + -4*sqrt(2299))**2.\nAnswer: sqrt(19) + 35055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44.16562l?\nAnswer: 44165.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71940*r**5 - 12*r**4 + 5223*r**2 - 32 wrt r?\nAnswer: -4316400*r**2 - 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -26*a**3 - 46*a**2 - 2. Let g(l) = -105*l**3 - 195*l**2 - 9. Calculate -4*g(v) + 17*p(v).\nAnswer: -22*v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/7)*r)**(18\/7)*(r\/(r**10\/r))\/r**(-13\/5) assuming r is positive.\nAnswer: r**(117\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1391\/(-39))\/(2\/(-6)). Suppose -604 + a = -7*f. List the prime factors of f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 24 = -4*a - a, -a = -3*x. Solve h + 2*k - a = 0, 3*h + 5*k - 18 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j + 2. Let b(o) = 4*o - 4. Let r(x) = -5*b(x) - 8*f(x). What is r(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3392358*r**2*w - 3*r*w + 935*r + 70*w wrt r?\nAnswer: -6784716*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*j = -4*s - 302, 3*j + 177 = -3*s. Let a be 3\/(s\/(-52)) - 2\/(-5). Solve 0 = a*w - 4 - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5151 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 21, -4, -80?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 13*i**2 + i - 11. Let u(v) = -6*v**2 + 5. Let r = 0 - 4. Give r*n(w) - 9*u(w).\nAnswer: 2*w**2 - 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-2)\/(-2))*34. Let h = 173\/5 - j. Which is the biggest value? (a) 2\/25 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 51 - 45. Suppose -n*j - 16 = 2*i + 3*j, 20 = -5*j. Sort i, -4, -12, 3 in decreasing order.\nAnswer: 3, i, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*a = 6, 10*z + 5*a - 17 = 6*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48224 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.08 (b) 216 (c) 15 (d) 542\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2468 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1368.72072 * -4.\nAnswer: 5474.88288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 + 1 = 5*j, 13 = -2*j - 3*y. Let s(f) = 2*f**3 - 2*f**2 - 2*f. Let t(g) = -4*g**3 + 5*g**2 + 5*g. Calculate j*t(b) - 5*s(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivvivvivvvxixvxvvxv. Give prob of picking 2 x.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o - 24. What is the least common multiple of 6 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -771909*88\nAnswer: -67927992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + m - 2. Suppose 0 = 3*z + 6 - 21, -4*z = -3*b - 26. Calculate a(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 227832763*s**5 + 5213388*s - 7 wrt s?\nAnswer: 4556655260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -104ab0 (base 12) in base 5?\nAnswer: -31213231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -356445*i**2 + 2670*i - 5.\nAnswer: -5*(267*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6516417 a multiple of 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 3, o: 2, h: 5}. What is prob of picking 2 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.264227 litres to millilitres.\nAnswer: 264.227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = -4*c - x - 70 + 68, 2*x + 4 = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**2\/2 + 12. Let u(b) = -6*b**2 - 3*b + 3. Let x(m) = -11*m**2 - 5*m + 5. Let l(i) = 5*u(i) - 3*x(i). Determine c(l(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 33*p - 60. Let s be (-2)\/(-18) + 1400\/(-45). Let b be w(s). Factor b*o**4 - 12*o + 4*o**4 - 8*o**4 + 14*o**2.\nAnswer: -2*o*(o - 2)*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let t(a) = -1192*a. Give t(n(l)).\nAnswer: 1192*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 9*p + 12. What is the units digit of n(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -1625*n**3 - 415*n**2 - 800 - 721*n**2 + 3*n**5 - n**5 - 34*n**4 + 1273*n**3 - 1568*n = 0.\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(24\/30)*22)\/((-18)\/((-252)\/(-28)))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021222 (base 5) in base 15?\nAnswer: 50c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:52 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -845 in -5, 1, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 91*i**2 - 25*i + 894. What is p(-45)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2*(-23)\/((-46)\/(-24)). Let q = j - -44. Let y be -2*26\/(-4)*1. Calculate the greatest common factor of y and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 95?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14181, -28300, -42419?\n\"Answer: -14119*g - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**3 - 6*s**2 + 29*s + 8. Let x(f) = -f**3 + 2*f**2 - 10*f - 3. What is 6*k(z) + 17*x(z)?\nAnswer: z**3 - 2*z**2 + 4*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6557623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t - 47. Let k be l(11). Let p be (-9)\/(-36) - 2*k\/16. Solve 5*g + 2 = -p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 102*t - 689. Suppose -15*h + 6 = -s - 10*h, 2*h - 10 = 0. What is the remainder when u(8) is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**2 - 75*p + 170. Let o be f(8). Suppose -4*i + 9*i - 90 = 0. Is i at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 2*g**4 + 3*g**2 + 4 - 5 - 91*g**3 + 93*g**3 to s*g**3 + j*g + m*g**2 + q*g**4 + y and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1353891673?\nAnswer: 653, 1031, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -1350*p**2 - 60*p - 2\/3 = 0?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v*v**(-2)))*v**(-7))\/(v*v**(-2\/15)*v*(v*v**(1\/6)\/v)\/v) assuming v is positive.\nAnswer: v**(-241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 540c77 (base 14) to base 4\nAnswer: 22312220321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 3*k - 4. Let w be v(2). What is the units digit of (-1)\/(-4 - w*489\/246)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1366300 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5296718781 to the power of 1\/4, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2423048 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/54)\/(2\/6)*(-10780)\/(-1078).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 + -644 - (4 - (14 + 4 - 3))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 + 99 + (8 - -25) + -24?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + 5 + (-1 + -2 + sqrt(98) - (sqrt(98) + (sqrt(98) + -2)*-1)) + -5)**2.\nAnswer: -560*sqrt(2) + 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 1. Let v(g) = 4. Calculate 4*h(i) - v(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o*o*o**5))\/o)\/(o*o**(2\/9)*o))\/((o*o\/(o*o\/(o\/(o\/((o*o**(-1\/4)*o)\/o))))*o)\/o*o)**(19\/6) assuming o is positive.\nAnswer: o**(-991\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3*-2*3. Let u be -59 - 1 - (0 + 0). Let r be (-63)\/u - 2\/8. What is the third smallest value in h, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -296749 (base 14) in base 15?\nAnswer: -1d66cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -20, -42, -72, -110?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:33 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 441 = -4*v - 0*v, -354 = 4*a - 2*v. Let d = 107 + a. Suppose -x + 30 = l, 2*x + d = l - 0*l. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 17, 0.13?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/8 - 43*v**2\/8 - 89*v\/8 - 45\/8.\nAnswer: (v - 45)*(v + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33094*t**3*u + 2*t**3 + 504*t**2 - 37*t wrt u.\nAnswer: 33094*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 5) to base 15.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - r + 2. Let j = 19 - 19. Let k be o(j). Let v(c) = -12 - c**2 - k + 14. Let i(a) = -7*a**2. Calculate i(v(n)).\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*x + 37, -130*c + 129*c = 1. Let j = -6 + 17. Which is greater: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*34\/(-7650))\/(((-36)\/(-10))\/3).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 108*q - 748. Calculate the remainder when w(10) is divided by 187.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 - 4*b**2 - 4*b. Let g(h) = -2*h**3 + 3*h**2 + 3*h. Let n be 45*(-4 - (-69)\/15). Let s = 30 - n. Calculate s*x(k) + 4*g(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6\/5, 1, 1\/5, -31\/295, -3, -1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*p*x**3 + 2*f**3*p*x + 39*f**3*s*x + 2*f**2*p*s*x**2 + 2*f*x**3 + p*x**2 wrt f.\nAnswer: 6*p*x**3 + 12*p*x + 234*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -28 (b) 5 (c) 3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.079491+32\nAnswer: 32.079491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490 + 981 = 10*m + 501 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.05 + -0.05. Which is greater: u or 4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = 6 + 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 + 125. Let t(m) = m - 1. Let o(z) = 2*z - 4. Calculate u*o(i) - 6*t(i).\nAnswer: -4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2 + 60*u - 900 = 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -1 + 3*b - 8*b**2 - 3*b**3 + 1\/4*b**4. Does 14 divide v(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = -0. Let s be (-308)\/(-12) + 1\/3. Suppose q*i - 2*r = 2*i + 21, -4*i = -2*r - s. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/227?\nAnswer: 2\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2656235 + -13?\nAnswer: -2656250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 7*p - 9. Let z(d) = -d**2 - 20*d + 48. Let m be z(-22). Let o be v(m). Let q be (-41)\/82*(5\/(-1) - -1). Solve q*a = -o + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, -5, 1, 0 in descending order.\nAnswer: 11, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -12*o - 12. Let t be i(-1). Suppose t*j - n = 5*j + 4, 16 = -4*n. Which is greater: j or 13\/27?\nAnswer: 13\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42255 + -42252. Solve -m*k - 249 = -237 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23a1 (base 16) to base 10.\nAnswer: 9121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**4\/12 + 5*b**3\/3 - 4*b**2 - 7*b + 2. Let u(v) be the first derivative of g(v). Is u(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791680.4 rounded to the nearest 100?\nAnswer: 1791700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {m: 1, k: 2, d: 2, p: 1, f: 10, i: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**4 + 2*x**3 - 2*x**2 + 4*x - 2. Let m(k) = -k**3 + k**2 - k + 1. Let r(b) = 2*m(b) + n(b). Find the second derivative of r(w) wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/38 in 5, 1\/25, -4, 50?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbr when three letters picked without replacement from {b: 2, w: 1, r: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**3\/3 - i**2\/2 + 16*i. Determine u(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 2, 13, -3, 0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106096 is divided by 1105?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464, 874, 1210, 1460, 1612, 1654, 1574?\nAnswer: 1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 61*t = 0. Suppose 10 = 9*a - 10*a - 4*w, t = 4*a - w - 45. Calculate the least common multiple of a and (2\/(-3) - 0)*-18.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + p + 2*p)*(40*p + 89*p - 40*p) in the form b*p + u*p**2 + f and give u.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35755 (base 11) in base 4?\nAnswer: 30210131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + sqrt(684) + -1 + -3 + sqrt(684)*1)**2.\nAnswer: -72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from {a: 2, u: 8, s: 7, o: 3}?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 a when four letters picked without replacement from {a: 3, d: 1, w: 12}.\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 2\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24134, -47794, -71454, -95114, -118774?\nAnswer: -142434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1108 - -2.85944997\nAnswer: -1105.14055003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.093 - -3.093. Let u = -0.3 - 0.7. Which is the nearest to u? (a) -0.5 (b) n (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*q - 31 - 29. Let c = -16 - -69. Suppose -2*g - 5*p + c = 0, 2*g + 2*g - 121 = q*p. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2175 = -y - 0*y. Let v = y - -1300. Is 11\/(-22)*(1 + v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x = -124. Let a = -44 - x. Let d = -56 - -109. What is the remainder when d is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74573946 is divided by 1367?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62070524 and 5.\nAnswer: 310352620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33344531?\nAnswer: 11, 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3629*o = 3621*o + 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-13)\/78)\/((-1)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 59 - 10 = -2*y, 39 = y - 2*t. What is the remainder when 142 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 3)*(-2 - 2*q + 2) + 0*q - 3*q + 2*q in the form o + d*q and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/44 and 23\/144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2 + s + 2*s**2 - 2*s**2 + s**4 - 4*s**2 as z*s**3 + v*s**4 + u*s + x + d*s**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, e: 2}. Give prob of sequence eueu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(1*(-1)\/1). Let v be (-2)\/9 - 166\/b. Let m(l) = l - 1. Does 4 divide m(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 2*z**2 + 5*z + 17. Let b be x(4). Let j be 4\/(-22) - 172\/22. Let q = j + b. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 134061.576 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -10395a?\nAnswer: 103956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -21510?\nAnswer: 21514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -8. Let y be 4\/18 - 8\/t. Let j be (-4)\/10 + (-22)\/(-30). What is the closest to 1 in j, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330133.671s to weeks.\nAnswer: 0.5458559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i - 1. Let u be (4\/(-12))\/(5\/(-15)). Let x(o) = -5 - 3*o**2 + 5*o + 2*o**2 + 6*o**2. What is u*x(y) - 3*g(y)?\nAnswer: 2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -25*s**2. Let k(i) = -5*i - 2. Determine k(d(v)).\nAnswer: 125*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**4 - 5 + 3 + 4 - 1. Let a(l) = -6*l**2 + 2. Let s(o) = -4*a(o) + 8*t(o). What is the third derivative of s(r) wrt r?\nAnswer: 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 8.4\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 273033\nAnswer: -819099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 5*v**2 - v + 6. Let s be m(5). Let r(j) = -1. Let o(i) = 4*i + 4. Let p(k) = s*o(k) + 4*r(k). Let t(u) = -2*u**2. Give t(p(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1300) + 0 + sqrt(1300) + 3)**2.\nAnswer: 280*sqrt(13) + 5249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7979755 is divided by 227990?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, j: 2}. Give prob of sequence qjqj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1248.57 + -1250. What is the closest to u in 1\/3, 1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.407567547 to 1 dp.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c84 - 20?\nAnswer: c64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 6 = 5*i - 7, 0 = 2*j + 43*i - 45*i - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/20*-2)\/(-1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, k: 1, b: 1, d: 1, s: 1}. Give prob of picking 1 d, 1 s, 1 b, and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 13*y**2 - 9*y + 28. Let n be m(-12). Let w be 2\/(n*4\/(-80)) - 1. Solve -w*t = b + 11, -4*t - 2*b - 14 = -0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27 (b) 30 (c) -648\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-15 - (12 - ((1 - -14) + 1) - -6))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1253 is divided by 98?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.62 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33823 + -27505. What is the highest common factor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvwvvvvvvvvv. What is prob of picking 2 v and 1 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166514 to the power of 1\/2, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124)\/(-930) + (-34)\/30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1745 - 1769 = -4*m. Suppose 0 = 2*g - 4*o - m, -18 = 5*g + 2*o + 27. What is the second smallest value in -0.5, g, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 16. Let n(q) = 4 - 10 - w*q**2 + 6. Let z(s) = 3*s**2. Calculate z(n(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5104\/99 - (-8)\/18. Suppose 2*u - 18 = -2*q, -4*u + 2*q = -2*q - t. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + -0.14. Let g = 0.16 + j. Let i = 0.1 + -0.1. Is i smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28301 - 141512\/5. Let u = 0.1 + 3.9. Let q(y) = y**3 + y**2 - 4*y - 3. Let j be q(-2). Which is the closest to -2\/3? (a) u (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5334 divided by 8?\nAnswer: 2667\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + 4*sqrt(99)*3))**2*-4*-2.\nAnswer: -57600*sqrt(11) + 2854400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83992 is divided by 431?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t - 29. Let w(x) = -8*x + 29. Give -5*b(f) - 6*w(f).\nAnswer: 3*f - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157826516.\nAnswer: 2, 79, 173, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -302442412 (base 5) in base 3?\nAnswer: -2021220102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 6*f + f + (-2 - f + 2)*(-5 + 2 + 5) + f + 2*f - 4*f)*(-5 + 4 + 3)*(4*f**2 - f**2 - 2*f**2) + f**3 + 2*f**3 - 8*f**3.\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 229 + 91. Let s(l) = -25 - z + 11 + 75*l. Let h be s(6). What is h rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**4 + 423939268*t**3 + t**2 + 38*t - 4082261 wrt t?\nAnswer: 48*t + 2543635608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**4\/24 + a**3\/2 + 3*a**2\/2 + a. Let y(n) be the first derivative of v(n). What is the derivative of y(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1875254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -0*g + 3*g + 3*c, -4*g + 27*c + 500 - 445 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -10*x - 40, 12*x - 11 = 4*p + 17*x. Solve -2 = o + 4*d - p, -5 = 2*o - 5*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 2, t: 1, h: 1}. What is prob of picking 1 c and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -15*d**2 + 87. Let r(a) = -7*a**2 + 43. Let x(b) = -6*o(b) + 13*r(b). What is the tens digit of x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*m**3\/4 - 51*m**2\/2 + 75*m\/4 - 3\/2 = 0. What is m?\nAnswer: 1\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 6*x + 7. Let w be j(-5). Solve 5*o + w = -z, -3*z - z + 12 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129 + (-14520)\/120 + 66*(-8)\/28.\nAnswer: -76\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1306135 divided by -1306135\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/100 - 12*m**4\/5 - 279*m**3\/10 + 960*m**2. Suppose t(q) = 0. Calculate q.\nAnswer: -93, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j = -26*j + 6. Calculate the lowest common multiple of (9\/(-6)*j)\/(3\/(-14)) and 2\/(1 + 6\/(-10)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -7, -53, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-576 + 213 + 266)*(-1 + 6 - 4)*(-17 - 18 - 20)*(0 + 2*k**2 - k + 0).\nAnswer: 10670*k**2 - 5335*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 49 = -4*f + 525, 0 = -5*p - 4*f + 587. Calculate the remainder when p is divided by 63.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from ujn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -413457 (base 10) to base 16\nAnswer: -64f11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2677 + -18702\/7. What is the common denominator of g and -15\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0130488 to 5 dps.\nAnswer: 0.01305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8574 + 8587. Solve l*s + 249 - 197 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 56 + 103 = 0. Let u = 82 - o. Suppose -18 = -4*t - 2. What is the remainder when u is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2. Let i(g) = g + 21*g + 5*g + 9*g - 1. Calculate i(f(z)).\nAnswer: 36*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/3 in 2\/7, -1, 4\/11, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86866.6436 + 0.0444.\nAnswer: 86866.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10137 divided by -1.\nAnswer: -10137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccmmccccffc. What is prob of sequence cfmf?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 6*y**2 + 4*y + 8. Let f be m(6). Let s(a) = -6*a**2 + f*a + 39*a - 4 + 38*a - 110*a. Let p(k) = -5*k**2 - 2*k - 3. What is -4*p(q) + 3*s(q)?\nAnswer: 2*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293420 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 798*f**5*k - 28*f**5 - f**2*k - 10257*f*k - 3*f wrt f?\nAnswer: 15960*f**3*k - 560*f**3 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1877034570 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 33 = -153. Calculate the highest common divisor of v and 2055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzsfms. Give prob of sequence mmf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 2*z + 4*p - 8, -z - p + 8 = 0. Let i(b) be the first derivative of -1\/2*b**3 + z + 0*b**2 + 0*b + 1\/8*b**4. Factor i(s).\nAnswer: s**2*(s - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1756 + 2963 = 3*q, 4*u = 5*q - 2009. Which is greater: q or 399?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6251319, -6251321, -6251323?\n\"Answer: -2*c - 6251317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**5 - 758911*u**4 + 168*u**2 - u - 844 wrt u.\nAnswer: 120*u**2 - 18213864*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 4*q + 10 + 25, 5 = -q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 1:23 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30021344*g**2*k + 371*g*k - 5*g + 3683*k wrt g.\nAnswer: -60042688*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 11*b**2 + 133*b + 1147. Calculate the lowest common multiple of 4225 and n(-15).\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g - 54*g = -5*o + 3138, -4*o + 2513 = 5*g. Is 33 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**6\/2 + 27*m**5\/5 - 51*m**4\/4 - 69*m**3 + 24*m**2 + 180*m + 60. Suppose g(q) = 0. What is q?\nAnswer: -10, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 30. What is the nearest to 2\/3 in -0.4, -2, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -d - 1035. What is the second derivative of -d*a + 50*a**2 + 56*a + 58*a + 4 wrt a?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -7009\/3, -1\/8, 0.6, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213627802, 213627800, 213627798?\nAnswer: 213627796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h - 6. Let a be v(3). Suppose a = -2*w + 115 + 39. Suppose -3*t + 64 = -w. List the prime factors of t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57524742?\nAnswer: 2, 3, 11, 19, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*o = -23, 2*o = -2*c + 17 - 3. Let a(x) = 2177*x + 3*x**c - 2177*x. Let n(k) = 6*k**2. What is n(a(z))?\nAnswer: 54*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4837\/104 - 1\/104. Calculate the common denominator of ((-16)\/3)\/(94\/(-15)) and i.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.020853 - -5\nAnswer: 5.020853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 0)\/(-1) - -119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + s - 4*s + 56, 0 = 3*w + 3*s - 156. Suppose 2*d - 340 = -2*d. Let l = d - w. Calculate the remainder when l is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 191 = -3784. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*c - 2*x, 3*c + 2*c - 30 = 5*x. Let d(m) = 0*m**2 - m**2 + 0*m**c - 7*m. Let q be d(-6). Solve k - q*k = 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1988.81 millennia to months.\nAnswer: 23865720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {f: 1, h: 3, v: 3, l: 1, x: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 10, x: 2, a: 1, q: 4}. What is prob of sequence kx?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 - 7\/(-3). Let m(h) = -2*h - 4 + 2*h**2 - 4*h**z + 7*h**2. Calculate the least common multiple of m(2) and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4912 - 1479. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -258, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13145842 is divided by 10035?\nAnswer: 10027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7182926 + -35950545518\/5005. Let n = f - 2\/455. What is the nearest to -1 in -1, 1\/4, n, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -286 + 286 - 328*v - 131*v as d*v + s and give d.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2309326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1333\/2 (b) -4 (c) -32 (d) 182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 43*w - 14*w - 16*w - 14*w. Suppose -6*d - 21 = -3*b - 3*d, -4*b + 23 = -3*d. Let a(p) = -4 + 4 + b*p**2. Determine j(a(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31940?\nAnswer: 2, 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243348 is divided by 3236.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -12*h**3 - 88*h**2 + 500*h + 176 = 0.\nAnswer: -11, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -187711071 and 51467.\nAnswer: -187659604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**4\/6 + 16*o**2. Let d(q) = -2*q**2. What is d(a(z))?\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27313428 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*p**6 - 33*p**6 + 109*p**4 + 6*p + 4*p + 87*p**2 + 180*p**2 - 30*p**6 wrt p?\nAnswer: -3600*p**3 + 2616*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4060 and 81865?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881311 is divided by 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (2 + -4 + -1)) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7016.408 millilitres in litres?\nAnswer: 7.016408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tre when three letters picked without replacement from {h: 1, e: 1, r: 1, q: 1, t: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 3*k - 4*k + (-3 - 2 + 4)*(-7*k - 7*k + 13*k) to the form g + o*k and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4*-2.0111\nAnswer: 8.0444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 179*x**2 - 50. Let o(l) = -268*l**2 + 80. What is 8*i(c) + 5*o(c)?\nAnswer: 92*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4674 and 502722?\nAnswer: 391620438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, 263, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79846252 to the nearest integer?\nAnswer: 8936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 67 - 58 = -5*v, 0 = -2*m + 2*v + 62. Suppose -g = -m + 35. Let j(k) = 2*k + 10. Let t be j(-7). Sort t, g, -1 in decreasing order.\nAnswer: g, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -13*d**4\/12 - 3*d**3\/2 + 24*d**2. What is the derivative of g(y) wrt y?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442364?\nAnswer: 2, 13, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2412 - -5.89881952?\nAnswer: 6.14001952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -751*o. Let j(d) = 1222*d**2. What is j(y(h))?\nAnswer: 689209222*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -8.7. What is the nearest to 0.1 in 5\/3, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1257 + 705. What is z rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01698 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 10:53 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -424680 (base 9) in base 12?\nAnswer: -102360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 17. Let r be q(10). Suppose -6 - 3 = -r*j. Let h(g) = -g + 6. Let o be h(j). Calculate the greatest common divisor of 24 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2200)*3)\/(3*(sqrt(200)*2 + sqrt(2)))*1.\nAnswer: 10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 286 + -283. Let i(b) be the third derivative of -1\/20*b**5 + 0*b**d + 0*b - 7*b**2 + 1\/40*b**6 - 1\/8*b**4 + 0 + 1\/70*b**7. Solve i(n) = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*k = -443*k + 221*k - 1008 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 55. Let w = -15 + y. Let d = 3 + -1. What is the highest common divisor of d and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 40 = -5*v, -2*v + s - 11 = -6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -20922*k - 12. What is s(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 3*n - 2*n)*(7*n**4 + 2*n**3 - 2*n**3).\nAnswer: -35*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 - p + 13. Does 11 divide j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101020220 + 1001102?\nAnswer: -100012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m - 38*m = -59*m + 550 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 156.5511 to 0 decimal places.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - -10 - -16 - (-12 - 74 - (-1 - -5)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1999478 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 170 + -329 + 158 + (-1 - (77 - -1)) + 10\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24041 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 640 and 9152?\nAnswer: 91520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**4 + f**3 + f**2 + f - 1. Let q(j) = -4*j**4 + 13*j**3 - 6*j**2 + 3*j - 3. Let l(p) = -5*q(p) + 15*t(p). Suppose l(m) = 0. Calculate m.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 5. Let o(b) = -b**3 + 5*b - 3*b - 4 + 3*b**2 + 5*b**2 - 5*b**2. Calculate the remainder when w is divided by o(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*y + 697*y + 3974 + 3896 = 174 for y.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-8*(-21)\/16))\/(1\/36).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 790 or 814?\nAnswer: 814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = x + 4*a + 4, -2*x - 18 = -3*a. Let s(m) = -2*m + 12. Let g be s(x). Let t = 8 + g. Calculate the highest common divisor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -450*i**5 - 13*i**3 + 15*i - 11. Let f(w) = -225*w**5 - 6*w**3 + 7*w - 5. Let v(u) = -13*f(u) + 6*t(u). Find the second derivative of v(k) wrt k.\nAnswer: 4500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*(-41 + 181). Solve -11*m = -15 + x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607787 is divided by 202223?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**4\/24 + 7*m**3\/2 + 3*m**2. Let j be l(-14). Let o(v) = v + 5. Let x be o(-1). Solve 3*s + x = j*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4*(-6)\/8)\/(-1) - -5. Solve 2*m + 0*m - 2 = 4*w, -5*w - 4 = -s*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 288*v**3 - 9*v**2 - 9*v - 339. Let m(y) = 72*y**3 - 2*y**2 - 2*y - 85. Let j(k) = -9*m(k) + 2*u(k). Find the first derivative of j(n) wrt n.\nAnswer: -216*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 6*y**2 - 5*y + 1. Let t be a(5). Let p be -2*(7\/(-7))\/((-3)\/6). Sort p, -5, t in decreasing order.\nAnswer: t, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12206 + -0.12250472. What is k rounded to five dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 82)*(-1 + 2)*(-1 - 5)\/(-6)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 585 - -16?\nAnswer: 59b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456930384 a multiple of 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 3 - (-7)\/(-21)*-27.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17610 divided by -6.\nAnswer: -2935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {i: 8, z: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8839*c. Let x(k) = -2*k**2. Calculate x(u(l)).\nAnswer: -156255842*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2799\/(-3110)*((-2)\/3)\/1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6322*d**2 + 1168 - 3504 + 1169 + 1167.\nAnswer: -6322*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g = 12. Let x be g\/6 - (-84)\/9. Let z be (1 - (-2)\/(-2))\/2. Solve b + z*c = c - x, 2*b = -c - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by 3\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -58*f - 19. Let k be s(-4). Let l = k - -67. What is the greatest common factor of l and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 3*o**5\/25 - 3*o**4\/4 + 8*o**3\/5 - 6*o**2\/5 + 775. Let s(r) = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/4052 and 9\/88.\nAnswer: 89144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20c5 - c8?\nAnswer: 1ddb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**5 + 1270504*q**4*y + 31165*q**2*y + 3*q - y wrt q?\nAnswer: 180*q**2 + 30492096*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - (-17)\/(34\/(-18)). Solve 2*n + 10*i - 5*i = -5, -n - i + 2 = p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10198893 + -449436943\/44. Let z = 15584 + y. What is the common denominator of (-43)\/36 - (-6)\/(-27) and z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*i - 59*i + 9*i**2 + 7*i**2 + 23.\nAnswer: 16*i**2 + 7*i + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6465 - 6472 - 6461 - 6472 - 6473 + 32339 + 20*f.\nAnswer: 20*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14352727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.6 + -2.4. Let y = u + 23. Let t = y - 14. Which is the second smallest value? (a) 0.01 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 5, 0, -0.02409?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -1 (c) 1\/6 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 89*v**2 - 280*v - 366. Let x be b(-92). What is the closest to 0 in x, 2\/5, 6, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*s + 29*s - 13761 = 0. Which is smaller: s or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5804624.13 to the nearest ten thousand.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -40820, -163299, -367428, -653207, -1020636, -1469715?\n\"Answer: -40825*k**2 - 4*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f + 14. Let o(z) = -z + 1. Let j(a) = 10*o(a) - r(a). Determine j(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*b + 66 = 0. Find the common denominator of -53\/64 and 729\/b*(-3)\/(-18).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**2\/2 - 8*a + 3. Let y be 80\/14 + (-4)\/(-14). Let s be n(y). Which is smaller: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -29. Let b be (-195)\/q + (-2)\/(-4). Let s = b - -10. What is the greatest common factor of s and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -979085*n**3*z**3 + 3*n**3*z + 5*n**2*z**2 + 11*n*z**2 + 362131*z**3 wrt n.\nAnswer: -5874510*z**3 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s. Let q(w) = 5*w. What is d(q(g))?\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + -a1522a3?\nAnswer: -a15228b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1274849 and 626.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(17\/3))**(-2\/49)*(o**15)**(-1) assuming o is positive.\nAnswer: o**(-2245\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.9784 milligrams in tonnes?\nAnswer: 0.0000000949784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55149.\nAnswer: 3, 31, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000602742 to seven dps.\nAnswer: -0.0000603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -805, -2, 3, -5, -21, 6 in ascending order.\nAnswer: -805, -21, -5, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 39*c**2 + 258*c - 4498. Determine j(19).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181 - 109. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 13025 = -0*c - 3*c, -5*c + 21760 = 2*q. What is c rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -j + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**5 + 5*k**4 - 160*k**3 - 680*k**2 - 1040*k - 560.\nAnswer: 5*(k - 7)*(k + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(9\/(-12))\/(-3). Suppose -3*x = 2*x - 25. What is the second derivative of -2*r**5 + 2*r + f*r**x - 4*r wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(sqrt(5)*-2)**2*5 - (3 + sqrt(5) + 5)**2*6) + -1.\nAnswer: -310 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o + 3. Let y be c(0). Let z(u) = -u - 2. Let t be z(-3). Let r be ((-8)\/(-10))\/(t\/5). Solve -r*v - y*l = -17, 1 = -v - 4*l + 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/9 + 314*a**4\/9 + 8294*a**3\/9 - 218410*a**2\/9 - 6924400*a\/9 + 14651000\/9 = 0.\nAnswer: -115, -35, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 4. Let t(c) = -2*c**3 - 2*c + 6. Let z(p) = 4 - 2 - 1. Let i(y) = 3*y - 2. Let m be i(-2). What is d*t(h) + m*z(h)?\nAnswer: -2*h**3 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-125848)\/(-4) - (-4 + (-12)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (873\/(-12))\/((-27)\/648). Let r = 2585 - j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 6. Let g be u(4). Sort 5, g, -4.\nAnswer: -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3122453834.\nAnswer: 2, 149, 10478033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/21 in -0.03, 4, -24, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1985 divided by -15594.\nAnswer: 1985\/15594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4 + 14*y**3 - 14*y**2 - 30*y = 0. Calculate y.\nAnswer: -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*-4)**2 + sqrt(19) - (sqrt(76))**2*-5.\nAnswer: sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/(-8))\/((-6)\/328). Suppose o = -2*o + 6. Suppose 0 = -o*u - 92 + q. What is the highest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13068*v**3\/5 - 4851*v**2\/5 + 444*v\/5 - 12\/5 = 0 for v.\nAnswer: 2\/33, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 5*u**2 - 4*u - 3. Let i be l(-5). Let w = -11 + i. Suppose -5*q + w + 4 = 0. Solve 3*p + 28 = -2*m - 2*p, -3*p - 20 = q*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppse when four letters picked without replacement from {s: 3, e: 1, p: 4}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (4 - 1 - -4) + -10 + 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/4 and 105\/4316.\nAnswer: 4316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.607 to one decimal place.\nAnswer: -22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 20, -10 = -3*r - 2*r + 5*x. Let o = r + 0. What is the greatest common divisor of o and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**2 + 5*t + 8. Let h be w(-5). Let o = -91 - h. Suppose o = 5*u - 594. List the prime factors of u.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(119)*1 + sqrt(119) + (sqrt(119) - sqrt(119)*1*4))\/(6*sqrt(70)\/(sqrt(60)\/sqrt(6) + sqrt(10))).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35152 < 35154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/96 and 59\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -293? (a) 2 (b) 0.4 (c) 0 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 3*p - 2. Let r(g) = -g**2 + g. Determine -3*r(y) + v(y).\nAnswer: 6*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1255 - -130?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6.048648 microseconds?\nAnswer: 0.0000000000700075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/9)\/(77\/(-14))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-1 + 3 + -11). Solve -4*k - m = -a - 19, 3*k + 3*a = -6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 4356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 11 + 26*m**2 + 0 in the form l*m + z*m**2 + n and give z.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 36309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -7, 6, -0.04, -1\/2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(119)*4)\/(-2*sqrt(21)\/sqrt(3)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.9759 - 36.96798. Let l = n - -13. What is l rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111451628 to the nearest one hundred thousand.\nAnswer: 111500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 561 + -3921\/7. Let -2\/7*q**2 + 0 + n*q = 0. What is q?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**3 - 2*x**2 + 2*x - 1. Let l be f(1). Let z be l\/20 - 4\/10. Is -3 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u - 2*u)*(1 + 0 - 3) + (-1 - 2*u + 1)*(-1 - 1 + 1) - 21*u - 13*u - 46*u.\nAnswer: -76*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377350 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(33\/2)\/(x\/x**(1\/3))**(-3\/2) assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g. Suppose 2*w = -2*w + 4. Let c = w - -1. Let q(z) = 2*z - 5*z + c*z - z. Determine y(q(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i + 117. Let j be f(16). What is the greatest common divisor of j and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148 - 149. Is (t - -5) + (498 - -26) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m - 14. Let q = m + -9. Let o = 0.08 + -5.08. What is the third biggest value in 1\/2, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {j: 2, k: 1, y: 2, t: 4, c: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 512 - 1579\/3. Let i = -314 - -331. Let q = i + r. Which is smaller: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -79?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 132 = -4*w + 112, -w + 4 = 8*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*k = 5, -a - 35 = 3*a - 3*k. Is (13 + a + 2)*149\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 11 - 13 = 4*h, 4*h + 16 = -z. Let k be 30\/z*(-112)\/(-3). Suppose -4*g - k = -9*g. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a3 (base 14) to base 11\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 16*n**2. Let t(x) = 3*x**2 + 4. Let b(i) = -i**2 - 1. Suppose 4*p - 11 - 5 = 0. Let j(k) = p*b(k) + t(k). Calculate j(d(q)).\nAnswer: -256*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8288 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3123297 tonnes in milligrams?\nAnswer: 312329700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**6\/1440 + a**5\/120 - a**4\/8 - 193*a**3\/3 + 244. Let b(v) be the third derivative of i(v). Factor b(w).\nAnswer: (w - 2)*(w + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (34\/(-153) + (-29815)\/9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -124*q + 1. Let i(r) be the second derivative of r**4\/12 - 62*r. Determine g(i(o)).\nAnswer: -124*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = a - 11. Let g = 69 + -41. Suppose 4*c = x + g, 5*c = -x - 0*x + a. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.9 + 8. Let b = 262.59 + -260. Let l = b + -1.59. Sort l, 4, 0.09, s in ascending order.\nAnswer: 0.09, s, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -75*l**2 + 170*l + 11. Give o(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003530607 to seven dps.\nAnswer: 0.0000353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**1)**(-3\/2)\/(y\/y**(-1\/4))**(4\/5)*((y*y**(-4))\/((y\/(y\/y**5))\/y))\/((y*(y*y\/y**4)\/y)\/y**(3\/10)) assuming y is positive.\nAnswer: y**(-87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 126 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + j**2 + 7*j + 0 - 7 in the form i + q*j**2 + z*j and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 184894283*o + 723228162 with respect to o.\nAnswer: 184894283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -2, 20, 64, 136, 242, 388, 580?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -120100102202100 (base 3) to base 16\nAnswer: -7c7892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-22)*(-1793)\/326)\/(2\/(-2)*25).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from chbbobcbcbbb.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10534, -10533, -10532, -10531, -10530, -10529?\n\"Answer: l - 10535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/((-8)\/(24\/57)))\/(-3). Is 4 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5411 + -350?\nAnswer: 5021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g**2 - 10*g + 6. Let j be (-1)\/8 - (-783)\/(-72). Let s(l) = -l**2 - 12*l - 10. Let o be s(j). Let a(f) = f**2 + f - 1. Determine o*i(t) + 8*a(t).\nAnswer: -4*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 10*x**2 - x + 7. Let r be h(10). Let k = -0.107 + -0.293. What is the closest to 13 in -1, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - 1)*-1)\/(50\/(-50)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76 + 47*s + 76 in the form l + g*s and give g.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(6*sqrt(24)\/sqrt(2)))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + r = -6 + 9, -4*b = -2*r - 18. Solve -5*k + 3*a - 37 = 0, 2*a = 5*k + b*a + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + b)*(0 + 4 - 2) + 6*b - b + 11*b)*(-b**4 + 4*b**3 - 4*b**3 + (-4*b**3 + 3*b**3 + 0*b**3)*(b - 2 + 2) - 2*b**4 - 3*b**4 + 4*b**4).\nAnswer: -54*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 = -3*j + 737. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*q**2\/3 - 172*q\/3 + 13.\nAnswer: (q - 13)*(13*q - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110111 + 120210000?\nAnswer: 121020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 99*l + 704. Let i(p) = 3*p**2 + 1 - 4*p**2 - 3*p - p. Give i(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 - 7. Let p = -2.4 + -1.6. Let r = v - p. What is the third biggest value in r, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:58 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/9 - 202*x**2\/9 - 208*x\/3 = 0. Calculate x.\nAnswer: -3, 0, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkceeexchccckejke. Give prob of sequence ee.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 99, -1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 299, 1265, 2875, 5129, 8027, 11569?\n\"Answer: 322*t**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*t - 44 = 662*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -120 + 55*x - 15*x + 20*x. What is the tens digit of z(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138 + -1516\/11. Let d = 70\/3 - 137\/6. What is the second smallest value in 1\/5, x, d, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -145*r. Let w(d) be the first derivative of 4*d**3\/3 - 516. Calculate w(g(z)).\nAnswer: 84100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-21)*-3*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, x: 3}. Give prob of sequence bx.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6364*d**5 + 254568*d**4 + 1610412*d**3 - 17218960*d**2 + 29761872*d + 37440 = 0. What is d?\nAnswer: -26, -20, -2\/1591, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0*m**2 + 0 + 7\/2*m**3 - 12*m. Let x(d) = -d. What is x(i(l))?\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, -2\/5, -3, -0.69, 0?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80459 + -55023. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/10 - 2*j**3\/5 - 18*j**2\/5 - 84. Factor w(c).\nAnswer: 2*c*(c - 6)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.23 and -826.\nAnswer: -826.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/6 - 53178368*u\/3 - 106356734\/3.\nAnswer: -(u + 2)*(u + 106356734)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4682 tonnes in micrograms?\nAnswer: 8468200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o - 5. Let c be q(-2). Suppose a = i + c + 3, -5*a + i = -24. Differentiate -14*m**4 + 2 - a + 1 with respect to m.\nAnswer: -56*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102234 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 268.4 - 309. Let g = 46 + z. Let j = g - 5.40000042. Round j to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from {w: 7, r: 2, m: 1, i: 4, g: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-303*m**2 + 654*m**2 + 735*m**2)*(0 + 2*m**2 + 0 + 2*m).\nAnswer: 2172*m**4 + 2172*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 - 6 - (-9 + 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2772 - 2776 - 4*i**3 + 11064 - 2744 - 2772.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426 divided by 8905.\nAnswer: 426\/8905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 301939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 12519*r**2. Let n(v) = -370*v**2. Determine n(w(j)).\nAnswer: -57988383570*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o + 145 = 3*v, 3*o + 55 = v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 13 = 4*o - 40, 5*o = -4*a + 18. Let r(q) = -8*q**2 - 20*q + 2. Give r(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30485, -59297, -88109, -116921?\n\"Answer: -28812*m - 1673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -622, -9, -2, 23, -3 in increasing order.\nAnswer: -622, -9, -3, -2, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = -30. Let h be ((-41)\/714)\/(z\/228). Let j = h - 2\/255. Which is the closest to -1\/3? (a) -6\/7 (b) 2\/13 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485502 to the power of 1\/2, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -456787361 times -0.4?\nAnswer: 182714944.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + -0.35. Let q = p - -0.39. Let h = 2.01 + q. Which is the second smallest value? (a) 0.2 (b) -6\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 597 - -253. Suppose 3*z + 2*z + a = 0. What is z rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 16*i - 66. Let w be o(-20). Let m(c) = c - 17. What is m(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013312643 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((35\/((-1260)\/54))\/30)\/(3\/(-16)*2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 3*h**2 + 6*h - 5. Let n be l(4). Suppose -4*i - 12 = n*p - i, p = 2*i + 8. Solve 0 = 4*g - p*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 6*v + 3*z - 117 = 0, 2*v - 853*z = -851*z + 94 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(576) + 2*sqrt(576) - sqrt(576) - sqrt(4)))\/((sqrt(72)*6*-1)\/sqrt(12)).\nAnswer: -sqrt(7)\/138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255821012 a multiple of 3448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 197\/11 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x - 58. Let w be b(-13). Let y be 3*(5\/6)\/(w\/(-12)). What is the second smallest value in y, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdg when three letters picked without replacement from {g: 3, d: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 15*f + 8*f + 8*f + 4*f.\nAnswer: 5*f + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(119\/952)\/(2\/(-8))*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16527 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + q)*(-4006*q**3 - 3928*q**3 + 7176*q**3) in the form p + f*q**3 + m*q**2 + y*q**4 + u*q and give y.\nAnswer: -758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 9:22 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.8 + 0.8. Let d = -3.86 - r. Let q = -0.04 + d. Is q != 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110101010000110110 (base 2) to base 12.\nAnswer: -83021a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 389.86 + -378. Let y = 16 - v. What is y rounded to one dp?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63.405 + 0.295. Let z = -64 + s. Let k = z + -0.7. What is the closest to k in 2\/7, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1250*m**2 - 23*m + 7.\nAnswer: 2500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*g**4 - 15590*g**3 - 216756*g**2 + 496400*g = 0. What is g?\nAnswer: -7300\/33, -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.00052 and 0.0503.\nAnswer: -1.95022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.3 + 0.7. Let q = 7.52 - x. Let v = -0.02 + q. What is the second smallest value in -1, -3, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 88. Suppose -3*h = 2*a + l*h - 11, -4*h = 4*a - 4. Does 14 divide (-3 + (-9)\/a)\/((-1)\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 1. Let n(v) = 5*v - 2. Suppose -2*z + 5*z + 5*x = 18, 5*z + 10 = 5*x. Give z*n(p) - 3*s(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1241 + 399 = 20*y. What is the remainder when y is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-4)\/j*j**(-7) assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/22 - 42\/4. Let z be (606\/5)\/((-4)\/q). Let c = -208 + z. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 634, 685, 736, 787, 838, 889?\n\"Answer: 51*u + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(3\/14)*n)**(-8)\/((n*n**(2\/7)*n)\/(n*n*n**(-1\/4))) assuming n is positive.\nAnswer: n**(-415\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 12, -2*d - 2*d - 3*a = -107384. Let c = 61943 - d. Round c to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136\/160 + 2\/(-8)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252268278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 4\/3, 6, -3, -8, 2\/3, 166\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00754503 to 4 decimal places.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 76*j**2 - 618*j + 31382. Calculate i(-38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 577770389?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 - -81. Let b(z) = 5*z + 135. List the prime factors of b(f).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/15128 and -55\/496?\nAnswer: 30256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 173961.8l in millilitres?\nAnswer: 173961800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssnssnsnnssnnsvnsss. What is prob of picking 3 n?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**2 - 251*h + 498 = 0.\nAnswer: 2, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 9. Calculate y(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36450016.\nAnswer: 2, 127, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*g, 9 = -2362*t + 2361*t - 2*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18683 - -29341. What is the least common multiple of w and 4?\nAnswer: 21316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 39. Is 17 a factor of ((-2)\/(16\/(-340)))\/(u\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 17.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4604 is divided by 65?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 3:44 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.12 and 0.146 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/7)\/h)\/(h\/(h*h*h*h\/(h**0*h*h)))*(h*h*(((((((h\/(h\/(h\/h**(-1\/2)*h*h*h)*h*h))\/h)\/h)\/h)\/h)\/h)\/h)\/h*h*h)**(-1\/31) assuming h is positive.\nAnswer: h**(-241\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8\/1123 + -88477\/33690. What is the common denominator of 71\/10 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010220 (base 3) to base 14.\nAnswer: -72d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 6*u**2 + 3*u - 4. Let r be f(-5). Let l be ((-6)\/(-4))\/(3\/r). Suppose 4*x = l*x + 3. Solve -3*v + 4*v + x = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3101133 + -3?\nAnswer: 3101130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12*v**3 + 10*v**2 - 13*v - 1. Let o(k) = 60*k**3 + 48*k**2 - 64*k - 6. Calculate -5*o(u) + 24*z(u).\nAnswer: -12*u**3 + 8*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 38*l + 5. Let x(r) = 57*r + 7. Let w(g) = -7*q(g) + 5*x(g). Let n(b) = -3*b**2. Calculate w(n(k)).\nAnswer: -57*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 27*w**2\/2 + 93*w\/2 + 18 = 0.\nAnswer: -3, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**4\/4 + 9*m**3\/2 + 3*m**2\/4 - 9*m\/2 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -267921 + 266797.93. Let q = w - -1112. Let p = 11 + q. Is 2\/13 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 11*d = -216. Suppose -r = -d - 55. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 88*o - 184. Let l be a(-46). Let s(v) be the third derivative of 0*v - 2\/3*v**3 + 0 - 2*v**2 + l*v**4 - 1\/60*v**5. Give s(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 39 - 4. Let v(m) = m**2 + 6*m - 1. Let o(x) = -2*x**2 - 11*x + 2. Calculate k*v(d) + 4*o(d).\nAnswer: -d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/17, -2\/13, -8, -1\/14, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p + 15. Let z be g(-11). Suppose -l - 721 = -3*x - z, -2*l - 193 = -x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - 0.4. Let n = 0.7 + k. Put n, 3\/4, 0.5 in descending order.\nAnswer: 3\/4, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13\/50, 1\/8, -3\/5, -2, -3\/7, 0.5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274497 is divided by 241?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - (0\/2 + -12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 + (10 - 0 - (-2 + 0)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, 1, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 6:27 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x + 9. Let s be n(-2). Suppose 17 = -s*v + 47. Solve 3*h + 0 = -f - v, f = -5*h - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 1. Let p(r) = -28*r + 250. Let z be p(9). Calculate g(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29374\/15 or -1958?\nAnswer: -1958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95757399?\nAnswer: 3, 10639711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*m*o*u**2*w**3 - 5*m*o*u - 2*m*w**3 - 2*o*u**2 - 30*o*w**3 + 14*o*w - u**2*w**2 wrt w.\nAnswer: -42*m*o*u**2 - 12*m - 180*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 14 = 22. Let h(n) = -7*n**3 + 4*n**2 - n. Let l(o) = 6*o**3 - 3*o**2. Let v(j) = s*l(j) + 3*h(j). Let v(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iin when three letters picked without replacement from {n: 8, i: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3071348 (base 9) to base 14.\nAnswer: 30a1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*r + 2477 = 809 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 0.00108707?\nAnswer: -0.0000652242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -389 in -8\/5, 1, -1\/3?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/24 and 41*(-82)\/1188 + (-4)\/(-22).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a**3 - 259*a**2 - 5*a + 6. Let q(r) = 10*r**3 - 258*r**2 - 6*r + 7. Determine 7*n(p) - 6*q(p).\nAnswer: 3*p**3 - 265*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = 0, 2*i - 85 = 3*l - 263. Calculate the highest common divisor of l and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = b - 3*p, -7*p + 370 = 5*b - 4*p. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (sqrt(567) + 0 + -3)) + 0 + (sqrt(567) - (sqrt(567) + sqrt(567) + (sqrt(567) - sqrt(567)*-1) + 0))*5)**2.\nAnswer: -810*sqrt(7) + 127584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*l - 883, o - l = 188 + 246. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 less than -0.072?\nAnswer: 2.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssevevvvevrvs. What is prob of picking 1 e and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 3772*b**2 + 439432*b - 1818336.\nAnswer: 4*(b - 4)*(b + 141)*(b + 806)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.4 greater than -0.3867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.86 - 1.66. Suppose 5*h - 4 + 54 = 0. Let t be (-4)\/h + 55\/(-75). Which is the nearest to k? (a) -2 (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4199 - -10832. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2063040 * -0.5\nAnswer: 1031520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3721339*p + 2*p**2 + 1860682*p + 1860657*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3*q = 3*h + 2*q + 23, -4*q + 80 + 210 = 86*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 4, t: 2, d: 1, q: 2}. Give prob of picking 2 p and 1 d.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 47\/4 of a hour?\nAnswer: 42300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 8, v: 1}. What is prob of picking 1 v and 1 i?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 5*i**2 + 3*i - 5. Let y be c(5). Let x(v) = 6*v - 10. Let r be x(y). What is the greatest common divisor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 18. Let l = q - -16. Differentiate 3*k**3 - 6 - 7*k**3 + l*k**3 wrt k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620306808 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/21 (b) -4 (c) -0.76 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145*b**6 - 2*b**2 + 45 wrt b.\nAnswer: 17400*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-162)*(-45)\/140 + 6\/(-140)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124981000 rounded to the nearest one million?\nAnswer: 125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2372)\/(-18) - 6\/(-27). Let u be a\/(-20) + 2\/(-5). Is -2*(-2)\/(-4)*u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/460306 and -1\/40565.\nAnswer: 43729070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59880)\/62375*75\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21868102327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 17*j + 108. Let l(g) = -17*g - 59. Is l(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-7*s**2 - 6*s**2 + s**2)*(-84*s - 82*s + 47*s).\nAnswer: -2856*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -4*a**4\/3 + a**3 + 20*a. What is the second derivative of b(o) wrt o?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, and 1 p when three letters picked without replacement from {h: 3, v: 2, p: 1, o: 7, q: 6}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608638185?\nAnswer: 3, 5, 4508431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 136490 - 136493, 7*c - 6*v + 2*v = 5*c - 4 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -319*d**2\/2 + 3706. Let i(z) = 25*z. Give i(o(b)).\nAnswer: -7975*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3 + -372061840.\nAnswer: -372061837.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(3 - 2 - 3)*(-v**2 + 3*v - 3*v) + (-v**2 - 3*v**2 + 0*v**2)*(1 + 27 + 5).\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**5\/120 - q**3\/3 + 1. Let c(o) be the third derivative of r(o). Let j(u) = 3*u. Determine c(j(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -17*t**2. Let q(y) = y**2 + 145*y. Calculate q(p(g)).\nAnswer: 289*g**4 - 2465*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 797815, -0.5, -1\/4, 5.\nAnswer: -0.5, -1\/4, 5, 797815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*r - 12 = 12, 4*w = -5*r + 36. Suppose 19 = w*x + 3. Solve 4*t + x = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2557821 is divided by 638?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156733443*g**4 - 176410800*g wrt g.\nAnswer: 1880801316*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -65 times -0.024426\nAnswer: 1.58769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*j + j + 478, 0 = 3*j + 12. Suppose 84 = i*o - 92*o. Solve -z - z = 4*w - o, w - z - 8 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*k + 24 = 0, 3 = -5*y + y - 5*k. Let d(o) = o**2 - 12*o + 12. Let b be d(5). What is the remainder when (-4 + 4 - b) + y is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -615\/4 + 621\/4. Which is the fourth biggest value? (a) z (b) -99\/2 (c) -1\/2 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5141.8 - 0.5.\nAnswer: 5141.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 387 - 139369?\nAnswer: -138ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2. Let z(r) = 932776*r**2. Calculate z(f(u)).\nAnswer: 3731104*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) -1\/9 (c) 2\/4880681 (d) 1\/4 (e) 3 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283427, -283401, -283357, -283295?\nAnswer: -283215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44412, 177440, 399156, 709560?\n\"Answer: 44344*f**2 - 4*f + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + -2 + (-5 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {t: 5, z: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**2*r**2 - 51*o**2*r + 309*o**2 + 3*o*r**2 - 32*o*r - 2*o + 5*r**2 - 6*r wrt o.\nAnswer: -6*r**2 - 102*r + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from uzuzzzzzzzzzzzzu.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -386, -1 in decreasing order.\nAnswer: -1, -18, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 806452.9 litres?\nAnswer: 806452900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*l - 2*y, 0 = 4*l + 2*y - 7*y + 13. Suppose -d + l*d - 400 = -4*f, -5*f - 5*d = -505. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 61. Solve f*r = 5*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955403?\nAnswer: 107, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/9)\/7*4*(-108)\/(-32)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + d**4 - 4*d**4)*(-6 + 12 + 4)*(3 + 1 - 2).\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 2 - 2)*(5 + 4 + 2).\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjkxxkjxoboxm. What is prob of picking 1 b and 2 k?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 19 = -21. Suppose -16 = -64*d + 60*d. What is the remainder when (1 - 2)*d + 52 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4559 - 10?\nAnswer: 4549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 3*t - 10, 0 = 2*t + 90*i - 85*i + 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 + -5.63. Let h = q + 5. Let a = 0 - 0. What is the second biggest value in 5, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.51 (b) -0.3 (c) 1.61 (d) 4.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15\/2 (b) 5 (c) 1\/3 (d) 20\/9 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 15 = 0, -2*z - 2*z = 5*q - 5353. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 1 e when three letters picked without replacement from {k: 5, z: 3, g: 1, e: 4}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 3 (c) -0.23 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Suppose i = -v + 6*v - 30. Let p(a) = a**3 - 10*a**2 + 15*a + 18. Calculate the least common multiple of v and p(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22424, 22334, 22186, 21980, 21716?\nAnswer: 21394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 15*z = d + 6, -2*z - 2*d + 12 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -62.999987. What is r rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -2*h - 2*h - 4*s, 0 = 5*h + s - 202. What is the least common multiple of 348 and h?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j = 27*j + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992482960 a multiple of 4962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -32 times -164426\nAnswer: 5261632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 43708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - c4a?\nAnswer: -c46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -23*s + 1480. Let i(f) = 14*f - 743. What is 5*i(j) + 3*w(j)?\nAnswer: j + 725","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/1 - 2*-9. Determine w so that -20*w - 39*w**2 + 67*w**3 - o*w**4 - w**2 - 12*w**3 = 0.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 3. Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 45*z - 48*z - 25, 15 = -2*z - a for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12545 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/(-12)*9\/6. Let h = -6 + 10. What is the second biggest value in 2\/3, h, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -1310.\nAnswer: 9\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 4*l - 8. Let x be h(6). Suppose 2*r = -2*r - 4*w - 36, -2*w = -x*r - 30. Is r greater than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*-2*sqrt(504))\/(5*-4*sqrt(392)).\nAnswer: -24*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*c - 5*c - 37, 0 = -5*k + 5*c + 45. Suppose -2*z - k + 4 = 0. Which is bigger: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 247.3 + 63.7. Let m = 332 - p. Which is the third biggest value? (a) -0.3 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476057051587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-8 + -7 + 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*s - 2*s. Suppose -4*y = 2*d - s, d = 3*d + 2*y - 6. Suppose 2*l + 3*g - 48 = 0, -4*l - 5 = -d*g - 85. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*i**2 + 335*i**2 - 291*i**2.\nAnswer: -159*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 6*z - 21, -4*z + 0 = 3*m + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 5*b - 6 - 11, -5*b = -3*s + 37 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 38*v = 40*v - 6, 14 = -4*v + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 62. Suppose -r + 3*b = 20, -5*r + 2*b - z = -2*b. Let w = r + 12. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 66*g**2 - 137*g + 101. What is the remainder when 97 is divided by u(68)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 + -0.55. Let p = 1173\/20 - 292\/5. Let g = 4\/17 + -27\/187. What is the closest to p in l, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1056*n**2 + 903*n**2 + 2099*n**2. Let m(x) = x. Determine s(m(v)).\nAnswer: 1946*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*f**4 - f + f)*(0*f - 5*f + 4*f) + 2 - 3876*f**3 - 4*f**5 + 3876*f**3 - 2*f)*(2 - 3 - 2).\nAnswer: 3*f**5 + 6*f - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 29526.\nAnswer: 29525.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.33 - -121.67. Let o = x + -176. Let s = o + 64.6. Round s to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 - 148565514\nAnswer: -148565447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.064 - 26.936. Let x = g - -27.1. Which is the smallest value? (a) -21 (b) -1\/6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**7\/120 + 9*h**6\/80 + 121*h**5\/240 - 29*h**4\/8 - 9*h**3\/2 - 8*h**2 - 19*h. Find w such that c(w) = 0.\nAnswer: -3, -2\/7, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rihrgggrinirrgnig. Give prob of picking 1 r and 1 h.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 0.2 (b) 52\/3 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/13)\/k*k*k**(-1\/9) assuming k is positive.\nAnswer: k**(5\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.68 + -75.32. Let r = 0.047259 - 0.347259. Is x > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 4:09 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 39903, 159599, 359085, 638355, 997403?\n\"Answer: -o**3 + 39901*o**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o = -141. Let t = 49 + o. Suppose 2*u - 6 = -2*l + 6*u, -l = t*u - 11. Solve 0 = -3*d + 3*h + 2*h - 1, 2*h - l = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 388*m + 138578. Give d(-357).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1120 and 3500.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**3 + 7 - 17 + 23 - 13.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105436 - 7394 = -6*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/12 + 160\/(-150)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.52 - -0.38. Let d = -1 + k. What is the second smallest value in 2, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.4. Suppose 0 = -k - 2*k + o - 10, -2*o = 3*k + 16. Let j(f) = f**3 + 6*f**2 - 5*f - 25. Let i be j(-6). What is the nearest to 1 in k, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:28 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-832)\/6760)\/(12\/(-15)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1032, 980, 902, 804, 692, 572, 450?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2587 divided by -93\nAnswer: 2587\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.1 - 25. Let k be ((-1121)\/150)\/19 + 0. Let f = 1\/150 - k. Sort f, o, 1\/5, 4\/9.\nAnswer: o, 1\/5, f, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257 - -294 - (149 + (-11 - -31)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 5694*v\/7 + 1628.\nAnswer: -2*(v - 2849)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 8:47 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 844 and 1055.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -589, -587, -585, -583?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - 111. Let z(i) = -2*i + 39. What is -3*d(r) - 8*z(r)?\nAnswer: 4*r + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 7*q + 5. Let i be n(-7). Let j = 18.8 + -20.42. Let v = j + -0.38. Which is the second biggest value? (a) v (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 893 or 1\/570?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-734145)\/20)\/(-17)*(-4)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*r - 19 = 0, 0*l + 2*l - 3*r = 11. Let b be (-164)\/(-10) - l\/10. Let j be ((-6)\/b)\/(1\/(4\/105)). Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/(1\/6). Let w be (0\/t)\/((-9)\/9). Which is greater: w or 1\/34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -127*j + 4921. Calculate z(39).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4 - 3*m**2 + 2*m - 1 - 2. Give k(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496070 is divided by 44947?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxhppshseepxxxx. Give prob of sequence px.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + l - 2 - 3*l + (-5*l + 2*l + 2*l)*(4 - 6 + 3) + 765 - 763 + 256*l + 28*l.\nAnswer: 281*l + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - 2*h + 3*h)*(3*h**2 + 3*h**2 - 8*h**2) + 3*h**3 - 2*h**3 + 7*h**3 - 3*h**3 - 2*h**3 + 3*h + 4*h**3.\nAnswer: 15*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 30*i**2 - 10*i - 19. Let m be y(-35). What is the remainder when 97 is divided by -2 - 64\/(-30) - m\/(-180)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 36. What is the greatest common factor of o and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -22765*y - 3. Let n be w(-2). Let z = 92805 - n. Is (3\/(-2) + 0)*z\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8985, -15747, -22509, -29271, -36033, -42795?\nAnswer: -49557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 12. Let g be 5\/25 + (-16)\/5 - -5. Let j be n(g). Let h(t) = 12*t - 10. List the prime factors of h(j).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 148*b - 34*b - 4165*b to f + w*b and give w.\nAnswer: -4051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99569, 100999, 102429?\nAnswer: 103859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9210 - -3214288\/349. Is -1 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**5\/20 - 13*b**4\/12 + 7*b**3\/3 - 5*b**2 - 2*b + 1331. Give w(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -252e + -4?\nAnswer: -2533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n - 2. Let y be s(-1). Suppose y*q + 3 - 7 = 0. Solve q*d = x + d, -3*x = 4*d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/10 and 59\/10313282?\nAnswer: 51566410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -1 + 56\/24)*-3. Let r be (-2 - 2) + 1 + l. What is the closest to -8 in r, 3\/2, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d**2 + 36 - 36)*(-3*d + 5*d + d) - 13 + 13 + 3*d**3 to the form h*d + u + c*d**2 + m*d**3 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 4*o**2 - 6*o - 6. Give t(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 1. Let o(h) = -3*h + 4. Let t(s) = 4*d(s) + o(s). Let g(k) = -10*k + 3*k**2 + 18*k - 8*k. Calculate g(t(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imm when three letters picked without replacement from rimnrnrmrimnmrnmmr?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1428, 3, 6, -4 in descending order.\nAnswer: 1428, 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1278, 5133, 11560, 20559?\nAnswer: 32130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 - 95.47. Let q = -0.23 + n. Let i = 29\/57 + 3\/19. Which is the closest to 0? (a) q (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y. Let u(t) = -29*t**2 + 16*t**2 + 16*t**2. Determine u(w(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 13*p**3 + 14*p**3 + 6*p**3 - 6*p + 5*p**2 - 34*p**3 + 5. Let o be u(3). Let m(j) = 6*j - 16. Does 9 divide m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2 - 3088*c - 589260 = 0. Calculate c.\nAnswer: -427, -345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13242515 or -13242516?\nAnswer: -13242515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-130)*-10*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 a, and 2 g when four letters picked without replacement from {g: 2, w: 1, a: 6, s: 7, y: 1}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 7*u - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2387 - 2322. Calculate the remainder when 320 is divided by k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153523676145*m + 76761838071*m + 76761838070*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 257050785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 876 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 76?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/57, 23, 2, -0.07363, -2\/13?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43b4 - -4d?\nAnswer: 4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*i**2 - 70*c**2*i + c*i**2 + 2*c*i + 7916*i**2 wrt c.\nAnswer: -4*i**2 - 140*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.383308 times 2?\nAnswer: -0.766616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*a + 77*a + 950 = 0. Suppose -24 + 3 = -3*r. Suppose -r*b + a = -2*b. Calculate the remainder when 37 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -701 - -641.4. Let u = 59.60002635 + c. Round u to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 6. Let v be h(-6). Let z = 21 - v. What is the units digit of -3 + 6\/z - -35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 0*p**2 - 4*p**2 + (135 + 12*p - 135)*(-5*p + 4*p - p + (1 + 0 - 3)*(-2*p + 0*p + 0*p)) to j*p**2 + q*p + i and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -7. Let y = -0.6 - 1.4. Is r at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -352 and -26.\nAnswer: 9152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 + 17*j - 14*j + 9*j**3 + 2*j**2 to the form z*j**3 + u*j**2 + m + x*j and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 70, 178, 348, 592?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0609 - -42407725900.\nAnswer: 42407725900.0609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 8. Let a(m) = 2*m + 15. Determine -3*a(u) - 5*h(u).\nAnswer: -u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12211 + 0?\nAnswer: 12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*j + j - s, -5*j + 4*s = -10. Suppose 5*n - 21 = 54. Suppose n = d + j. What is the highest common divisor of 99 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86261474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14232 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1179635247, 1179635246, 1179635245, 1179635244, 1179635243, 1179635242?\nAnswer: 1179635241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bngdc. Give prob of sequence gcbd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 2175.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (570\/20)\/(1\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -43. Let i = 20 + -33. Let y = i - w. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**4*w*w*w*(w\/w**6)\/w*(w\/w**0)**(-12\/5) assuming w is positive.\nAnswer: w**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + (-12 + 7 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50691043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 3*g + 11. Let i(y) = 3*y. Let t(p) = p. Determine g*i(f) + 6*t(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 15\/840*0\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14404, 14392, 14372, 14344, 14308?\n\"Answer: -4*x**2 + 14408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 250*l**3 + 103*l**3 + 117*l**3 - 4*l**4 + l**2 in the form o*l**2 + i*l**3 + b*l**4 + t*l + y and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 152639 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 27*h**2 - 2*h + 54. Let g be t(27). Suppose g = 6*w - 2050 - 590. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/9*2004\/(-167).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7961*w**2 - 3946*w**2 - 4019*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*k + 293*k - 490*k - 9585 = -2349 for k.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174388\/19 + -9179. What is the common denominator of d and 139\/570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {n: 3, g: 3, r: 1, s: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*b + 3*r + 131, 4*b - 128 = -5*r. Calculate the least common multiple of b and 87.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 7:03 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5586 and 4998.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:45 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g - g + 20*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 7) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469508069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 20*b + 37. Let m be h(-2). Let l = -27 - -38. Let w = 15 - l. Sort -0.1, w, m in descending order.\nAnswer: w, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(4*(-3)\/(-48))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssss. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 20. Let f(t) = -3*t - 9*t**2 - 3 + 0*t + 3*t**2 + o*t**2. Let a be 0 - (0 + -1)*-2. Determine f(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -199*u - 4. Suppose -t - 3*s + 9 = 0, 0 = 4*t + s + 3*s - 12. Suppose t = -0*i + 5*i - g, i + 5*g = -26. What are the prime factors of m(i)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*x + 4*k = k + 43, -330*x - k + 25 = -340*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 22 = -4*n, 6*n - n - 3*h = -26 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/14)\/((-1)\/7). Which is smaller: 32 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 - -0.9. Let d be (-10)\/(6\/4 - (-49)\/(-14)). Sort d, i, 0.4 in descending order.\nAnswer: d, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f + 9*f - 2*f - 2*f + 55*f**2.\nAnswer: 5*f*(11*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1055*p + 72. Let u be i(-6). Suppose -u = -5*q - q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from kxxkxxkkdkkxdk?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 283200000 = 12*u. What is u rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 2\/27, 27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1791 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:31 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -341 (base 6) in base 15?\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 8.7. Suppose -2*a + o - 8 = -3*a, 4*a - 46 = 3*o. Suppose -4*n = -2*k - a, 5*n - 4*n - 1 = -k. What is the smallest value in k, 4, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -15399.24.\nAnswer: -3079.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/3*y**2 - 1\/3*y**3 - 12*y + 0.\nAnswer: -y*(y - 9)*(y - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 18. Suppose -u = -10 - d. Suppose u - 47 = -3*f. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176 + -173. Suppose s*b + 3*g = 297, -7*g + 8*g + 91 = b. What is the remainder when b is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -17. What is the first derivative of -i + 5 - 8*i**3 + 5*i - o*i wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163 divided by 96.\nAnswer: 163\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183 + -187. Does 9 divide (r - (-68)\/20)*(-32 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + t**2 - t**2 + 4*t**2 + 5*t**3 - 4*t**2 - 2 - t**3 + 2 + (2 - 2*t - 2)*(-2*t**2 - t**2 + t**2).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6095676*k + 14257 = 6095407*k for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**5\/2 - 203181*p**4\/2 + 609513*p**3\/2 + 203181*p**2\/2 - 304758*p = 0.\nAnswer: -1, 0, 1, 3, 67724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**3 + 71*b**2 + 5*b + 9. Let w(f) = f**3 + 14*f**2 + f + 2. Let t(p) = -11*w(p) + 2*y(p). Determine t(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = 3*d. Let j(k) = k**3 - 23*k**2 - 23*k - 10. Let q be j(24). Solve -5*t + 30 = h - d*h, 3*t - h = q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/47? (a) 3 (b) 192264 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by 43027.\nAnswer: -114\/43027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/1 - (-748 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 2. Let s be h(2). Suppose 3*m - s = -1. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:40 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3 - 20955*m**2 + 36603144*m - 36582192 = 0. Calculate m.\nAnswer: 1, 3492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*174\/(-812)*14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (-6)\/2 - (-1)\/(-6). Let n = 14.31 - 0.31. Let k = n + -13.7. Which is the second smallest value? (a) 3 (b) k (c) p (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1894364, -1894445, -1894526, -1894607, -1894688?\n\"Answer: -81*x - 1894283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*k**3 + 2*k**4 - 24*k**3 - 27*k**3)*(0*k - 2*k + 3*k).\nAnswer: 2*k**5 - 7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 203047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/7 + 1002*q**4 + 6229632*q**3\/7 + 140425816*q**2\/7 + 727291968*q\/7 - 873954432\/7 = 0. What is q?\nAnswer: -1742, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2. Let r(j) = j - 4. Let c be 6\/(-8) - 27\/(-4). Let b be r(c). Let u(w) = 11*w**2 + 12*w**b - 14*w**2. Determine u(g(k)).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/3, 2\/2409, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*y + 2. Let f(s) = 0*s**2 + 5*s**y - 4*s**2. Let i(p) = 4*p - 4*p - 2*p**2. Determine i(f(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690875 is divided by 339?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -171.9, -0.4, 0.5, 0.2 in decreasing order.\nAnswer: 0.5, 0.2, -0.4, -171.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419 = 5*y - 1154. What is the remainder when y is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12321 divided by -111.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.36406 centuries in millennia?\nAnswer: 3.936406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 2:18 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/198 and -17\/4994.\nAnswer: 44946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 237434.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56*26\/2912*-156*(-6)\/9.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/15)\/(((-42)\/(-12) + -6)*3344\/190)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 - -109.4. Let u = -6.868 - q. What is u rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 343.7 * 4.\nAnswer: 1374.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -w + 2*o, -3*w - 2*o - 2 = -39. Let a(c) = -c**2 - 13*c - 32. Let v be a(-10). Let q(t) = 3*t + 1. Let f(k) = 13*k + 5. What is v*f(l) + w*q(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**21)**(-23))**(28\/5) assuming z is positive.\nAnswer: z**(-13524\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -21*o + 150. Let n be u(7). Suppose -3*r + r + 107 = -x, -3*x = -4*r + 211. Suppose -4*m = -n*m - r. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -240. Let a = h + 6. Calculate the remainder when a is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from cueccacrcacaz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/3, -3.9, 3\/2 in decreasing order.\nAnswer: 3, 3\/2, 2\/3, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from vyuslsddl.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*u - 42*u**2 + 4 - 1142*u**2 + 5936*u**2 - 201*u - 2.\nAnswer: 4752*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**5 - 164*u**4 + 2840*u**3 + 78584*u**2 - 1593812*u + 7288556.\nAnswer: -4*(u - 11)**3*(u + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r - 1476 = -63*r. Let q = r - -148. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**4\/5 + 88*b**3\/15 + 38*b**2\/5 - 168*b\/5 + 1233. Let a(z) = 0. What is z?\nAnswer: -21, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(5*r**2 - 5*r**2 - r**2) + 2*r**2 - 2*r**2 - r**2 - 50*r**2 - 85*r**2 - 35*r**2 + 0*r**2 - 2*r**2 + 4*r**2.\nAnswer: -167*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akd when three letters picked without replacement from kkkakakkakakkkakakd.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 46?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521*z**2 + 272*z**2 - 213 + 213.\nAnswer: 793*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f - 15. Is (1\/f)\/(2\/(-1146)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(152)*-4)\/sqrt(8).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000636626367 to seven dps.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-2) - -4)*5. Let v(s) = 7*s**2 - 4*s + 15. Let d be v(f). Suppose -9*k = -d - 559. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2 = -c - 4, -2*c = -2*p - 6. Find the second derivative of 8*u + 17*u - 9*u + 35*u**c wrt u.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 28 = 4*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*d + 4*d + 3*d)*(-2*d**2 + 3*d**3 - d**3 + 2*d**3) to the form n*d**2 + v + r*d**3 + m*d + f*d**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/((y*y**(2\/9))\/y)))\/y)**40\/((y*y*y**10)\/(y**(-11)\/y)) assuming y is positive.\nAnswer: y**(-496\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25287 - 26?\nAnswer: -25302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14476 + 15124. Calculate the highest common divisor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -6. What is the lowest common multiple of 1 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2. Suppose 27 = 4*m + 3*z - g, -3*m + z + 4 = 0. Let p be (m - 1)\/(14 + -1). Which is the second smallest value? (a) -0.1 (b) -2\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let z be g(-2). Let f(p) = 2*p + 4. Let m be f(-2). Let a be m\/(2\/(-6)*-3). Is a less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1865\/4 or 466?\nAnswer: 466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = y - 27. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:28 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 24*f + 98. Suppose 39 = 2*q + a, -2*q - a + 2*a + 29 = 0. What is n(q)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p + 1275 = 4*x, -p + 359*x = 361*x - 27 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + (92 - 18 - (-11 - -51))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7146 - 640*t**3 - 104*t**3 - 7146.\nAnswer: -744*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 48\/22 - (-92)\/22. Suppose 2 = -v*y + 6. Sort 0, -5, 5, y.\nAnswer: -5, 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from iifpyfpiiipiiififii?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*45.4.\nAnswer: 136.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 348\/25 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lccdcclldldclddcdlc. Give prob of picking 4 d.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4 + 7867*t**3 - 31455*t**2 + 23589*t = 0.\nAnswer: 0, 1, 3, 7863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*f + 433 = 13 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + -3 + 1 + 3 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*j + 97*j - 150 = 0. What is the remainder when j is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n**3 - 23*n**3 - n**2 - 9*n**3 + 7*n**3 to the form z + k*n + d*n**3 + b*n**2 and give d.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-10))\/((-16)\/(-120)))\/((-84)\/(-336))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 164444.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**3 - 14*q**2 + 7*q - 6. Let m be t(-5). Differentiate -m*h**2 - 24 - 9*h**3 + 104*h**2 + 0*h**3 with respect to h.\nAnswer: -27*h**2 - 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4686, 7876, 11068, 14262, 17458, 20656?\n\"Answer: f**2 + 3187*f + 1498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 2*g**2 - g + 4. Let m be l(-3). Is (-3)\/m + 103272\/48 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (592 - 592 - 6*c)*(2 + 1 - 5) - 8*c - c + 4*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssstsst.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbv when three letters picked without replacement from vswbbbbs?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 0*m + 1\/4*m**4 - 1\/120*m**6 + 0 + 5\/6*m**3 + 7\/60*m**5 - 24*m**2. Calculate t(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 6*a - 1\/3*a**4 + 1\/21*a**7 - 1\/10*a**5 + 0*a**3 - 4 + 0*a**2 + 2\/15*a**6. Factor l(c).\nAnswer: 2*c**2*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (43\/((-3440)\/256))\/((-4)\/10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*u = -3*u - 415, -1040 = -5*m - 2*u. What is the remainder when m is divided by 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455 and 21931?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 294*k = 297*k + 6, 8 = 4*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/9*(627\/(-44))\/(-19)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6}. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:44 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 9801214?\nAnswer: 98012140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 911315723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 8 = 8*s. Suppose -4 = 3*d + 2. What is the tens digit of d\/(s*2\/76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 13 - 1. Put w, -4, -1 in increasing order.\nAnswer: -4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -13*x + 14*x. Let z = 18 - x. Suppose z*r + 9 = 5*r. What is the least common multiple of r and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 25. Which is the closest to -1\/2? (a) 0.02 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**5\/30 - j**4\/9 + j**3\/9 + 13*j + 4. Let y(o) be the first derivative of s(o). Find x such that y(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 14 = -2*k, 6618*c - 2*k + 31 = 6623*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 726 divide 37116960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from sllllllllsll?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10 + s + 7*s**2 - 6*s**2 + 0*s. Let p be i(-5). Suppose -5*w = p, -w = 4*t - 8*t + 254. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (-4)\/(20\/(-475)). Let i = -97 - h. Suppose 4*v - i*v - 198 = f, -f = 3*v - 302. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdq when three letters picked without replacement from dqtdqeqq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36252360 rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 3*r**2 - 8*r - 24. Give z(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 3*n**2 - 2*n + 2. Let y be w(2). Let s be 90\/11 - (630\/77 - 8). Sort -2, y, s in ascending order.\nAnswer: -2, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 979*l**3 + 4*l + 392?\nAnswer: 5874*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.41 + 0.09. Which is the closest to 0? (a) -0.2 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*h + 205*h + 45 = 0. Differentiate 28 - 148 - 121*z + h*z with respect to z.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(2\/17)*y*y)\/y*y*y*(y*y**(1\/73)\/y)\/y)\/((y*y*y**(6\/11)*y)\/(y**(-4\/9)\/y)) assuming y is positive.\nAnswer: y**(-105481\/122859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.24 and -160.\nAnswer: -160.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 232062387 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185 and 57683.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3156*p = 11040 - 64692 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 15242 and 15235 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*v + 4 = -85*v - 74. Solve -5*i + v*i = 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3035334 (base 9) in base 13?\nAnswer: -44856a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109212367.\nAnswer: 11, 9928397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -x - 3*m + m, -4*m = -2*x + 354. Calculate the highest common factor of x and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*10\/(-16)*(-1)\/(5\/4). Let m(x) = 23*x + 27. Give m(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860480819 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109 - -111. Suppose -5*g + 16 = -0*g - 3*b, -3*b + a = 4*g. Solve -5*t + 2*t - g*i = -14, -5*t = -2*i - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487314\/((-17 - 19)\/(-18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/34 + 79\/510. Let r(f) be the third derivative of 0*f + 0*f**4 + 1\/15*f**5 - 1\/12*f**6 - x*f**7 + 0*f**3 + f**2 + 0. Factor r(n).\nAnswer: -2*n**2*(n + 1)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001194 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 - -85. Let x be ((-2)\/y)\/((-406)\/105 - -4). What is the second biggest value in x, -5\/4, -2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a0202 + -85?\nAnswer: a0128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5 + 32*q**4 - 68*q**3 + 40*q**2 = 0.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/15*87\/2. What is the highest common divisor of 290 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (-3*sqrt(272) - sqrt(17)) + 2 - ((-4*(sqrt(1700) + 0) - sqrt(1700)) + sqrt(1700) + 4 + sqrt(1700)*2)**2).\nAnswer: -882*sqrt(17) + 40890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 9, -2, -183 in ascending order.\nAnswer: -183, -2, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1435*o - 1398*o + 703 = 0 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from {j: 3, s: 3, y: 3, p: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164 - 164. Suppose c = d + 4*d - 50. What is the least common multiple of d and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 - 10*y**2 + 5*y + 4. What is a(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 10933 = -4*p. Suppose j + 2*v = p, j + j - 1674 = 4*v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -18. Suppose d - 4*w = -3 + 2, -5*w + p = 3*d. Suppose -d*c = 5*i + 2*c - 110, 3*i + 2*c - 70 = 0. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129711?\nAnswer: 3, 43237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -2*r. What are the prime factors of (-1 + 3 - r) + 124?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15128 = 3*k - q + 6*q, 0 = -q + 4. Let r = k + -3487. Let n = 12415\/8 - r. What is the common denominator of n and 121\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -3\/71 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -147665 less than -147667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 13. Let b = -98 - -97.8. Put 0, b, j, 4 in descending order.\nAnswer: 4, 0, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 2*v**2 - 3*v - 1. Let f be a(-2). Suppose r = f - 2. Suppose -k - 1 = -r. Solve 20 = 3*j + k*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 5*z - 4*z)*(10*z + 9*z - 11*z) + z**2 - 3*z**2 + 0*z**2 - 3*z**2 - 5*z + 7*z + z**2.\nAnswer: 4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-29)\/7 - 6\/9*-6. Suppose r + 5*g = 2, -4*g + 4 = 3*r - r. What is the closest to r in p, 7, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 15. Suppose 5*z + z = -p. What is the remainder when ((-5)\/15)\/(z\/423) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, 4, 1, 481 in decreasing order.\nAnswer: 481, 9, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.13 + 0.13. Let p = 15536189 + -15536160.000043. Let i = g + p. Round i to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Suppose z + 5 = h*z. Suppose y + 0 = -z*f + 78, 0 = 4*f - 2*y - 54. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(-65*d + 30*d + 19 + 34*d + (-3 + 0 + 1)*(3*d - 3*d - d) + 2*d + d - d + 3*d - d - 3*d).\nAnswer: -2*d - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -5\/4 (b) -1379.3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -182b (base 13) in base 9?\nAnswer: -4824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.3, 0, 147282?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/116 and 13\/28.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473688319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/1040)\/((-97)\/113296)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.048 - -16. Let i = 0.248 + b. Let k be (2 + (-14)\/8)*-1. What is the second smallest value in 3, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294068 to the power of 1\/2, to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**2 + 11*x - 11. Let s = -132 - -143. Let j(t) = 6*t + 0*t + 2*t**2 - 6 + 3*t**2. Determine s*j(n) - 6*c(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0, -10, -0.8, 204, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(-3*g**3 + 2*g**3 + g**2 + 2*g**3).\nAnswer: 3*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25944.\nAnswer: 2, 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -18\/7 (c) 0.4 (d) -2\/9 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.172 times -4205732\nAnswer: -723385.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 93 = 9*u. Factor 0*g - u*g**2 - 4 - 6 - 24*g - 11.\nAnswer: -3*(g + 1)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-16)*((-280)\/(-15))\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2. Let r(p) = -2702*p**2. Calculate r(f(g)).\nAnswer: -2702*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1194, -5, 2, -2, -3, 1 in increasing order.\nAnswer: -1194, -5, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 194 = 5*p - 3*d, 0 = 3*d - 6. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 20, 0.04, -2, -0.15, -4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 l, 1 q, and 1 o when four letters picked without replacement from {q: 2, o: 1, d: 9, l: 3, a: 1, f: 3}.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 306 = -u - 4*f, 326 = u + 4*f. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2 + 3. Suppose -5*h + 0*h + 2*u + 17 = 0, -u = 2*h - 5. Let i be (-7)\/(-35)*5 - (-2 + 7). Sort o, h, i in ascending order.\nAnswer: o, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + a15e?\nAnswer: a165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3\/3 + 44*n**2\/3 - 28*n\/3 - 196 = 0. Calculate n.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**4\/6 - 5*z**3\/3 + 24*z**2 + 131*z. Solve s(q) = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b**2 - 593*b + 1645. What is i(63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -606*g**2*r**2 - 1510159*g**2 + g*r**2 + 185*g*r - 21068*r**2 wrt r?\nAnswer: -1212*g**2 + 2*g - 42136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128*t**5 + 628*t**2 + 70*t - 1493 wrt t?\nAnswer: 2560*t**3 + 1256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-364))\/((-72)\/126 + 1)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 110.7 times -5\nAnswer: -553.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -6491?\nAnswer: 6494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -4. Let u be 16 + -47 - 1674\/(-54). Put q, 4, -1, u in descending order.\nAnswer: 4, q, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7792 + -1430. Suppose -5*u + 2*j = 6*j - p, 5*j = 3*u - 3832. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240703471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155439?\nAnswer: 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 16*x + 52. Suppose 41 = -6*h + 113. Let v be t(h). Let o(u) = -u**3 + 5*u**2 - 6*u + 5. Calculate o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 817850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(2\/11)*m)\/m))\/((m*((m*m**5\/m)\/m)\/m)\/m*m))\/(m\/(m\/m**(-4))*m**(-2\/5))*((m*m**(-2\/9)*m)\/(m**(-2\/7)*m))\/(m**(-6)*m*m**6) assuming m is positive.\nAnswer: m**(4441\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -7 - (-25 - 1)) + (-29 - -25)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}