diff --git "a/data/dm_maths/full_data_1/2521_11255.jsonl" "b/data/dm_maths/full_data_1/2521_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2521_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: (1392\/8120)\/(6\/28)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12559.62 decades to months.\nAnswer: 1507154.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o**3 + 24*o**2 + 88. Let f(w) = w**3 + 5*w**2. Let d(u) = -6*f(u) + j(u). What is the first derivative of d(c) wrt c?\nAnswer: 21*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 65*r - 3*r + 4 - 35*r - 7*r - 2*r**2 to b + o*r**2 + s*r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1063 - 1112 = -u. Let n(g) = 2*g**2 - 8*g + 3. Suppose 15 = -0*x + 3*x. Calculate the remainder when u is divided by n(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2776164 is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 22, 112 in increasing order.\nAnswer: -3, -2, 22, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 99541 times -0.5\nAnswer: -49770.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6870)\/(-9)*(-25 - -37). List the prime factors of (-4)\/7 - x\/(-7).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*g - 51, -320 = 2*y - 326. Calculate the smallest common multiple of g and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4761137119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -80. Suppose g + 3*v + 5 = -0*g, 2*g - y = 4*v. Let h(u) = -u**3 + 5*u**2 + 6*u + 6. Calculate the remainder when g is divided by h(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 0*d**3 - 1\/2*d**2 + 3\/4*d**4 - 1 + 0*d. What is the second derivative of h(m) wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g, 8*w = 3*w + 3*g + 18. Suppose 14 = w*y + 2. What is the nearest to 0.1 in y, -6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = -29*u + 1210. Suppose -u*m - 9127 + 39795 = 0. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16280, -100 in ascending order.\nAnswer: -16280, -100, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 690670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 8 (b) -0.05 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5*r - 62 = 0, -482017*g - 2*r = -482019*g - 26 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5417.\nAnswer: 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u - 366*u**2 + 3 + 352*u**2 - u**3 - 6*u. Let f be w(-13). Solve -h + 5*t - f + 3 = 0, 0 = -5*h - t + 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 58 - 55 + 160 - 3*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:44 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**5 + 6629196*z**4 - 2746656548292*z**3 + 13733077237124*z**2 + 16479740414616*z = 0.\nAnswer: -1, 0, 6, 828647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -395308*l**4 - 2*l**2 + 3196927 with respect to l.\nAnswer: -1581232*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 8*r - 10. Let m be (-2 - 11) + 5\/((-15)\/(-18)). What is w(m)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4177 is divided by 115?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 62, 269, 614, 1097, 1718?\n\"Answer: 69*b**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - ((sqrt(85) - -6*(sqrt(85)*1 + sqrt(85))) + sqrt(85))) + (sqrt(85) - -2*sqrt(85)*-1))\/((sqrt(2500)*2)\/sqrt(5)).\nAnswer: -7*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97488589 and 7469.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2 and (-133)\/33 + 738\/123.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 1279, 3141, 5825, 9337, 13683, 18869, 24901?\nAnswer: 31785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(4\/16*6). Suppose w*u = -0*u + 2*c + 138, 2*c - 6 = 0. Suppose -s + u = 16. Calculate the greatest common divisor of s and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33, -3\/7, -1086170, 5, 2\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*((-40)\/(-3) - -2). Let k = 196 + l. Let s = k - -25. Calculate the remainder when s is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*p - 73*p - 11894. What are the prime factors of p?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21239637511724 - 1?\nAnswer: -21239637511725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777472 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4105 - -2?\nAnswer: 4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 22 + z in the form o*z + s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91774013?\nAnswer: 83, 1105711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000891203544 rounded to 6 decimal places?\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -16 and -7.588 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12759 times 1245?\nAnswer: -15884955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + 3 + -11)\/(-1 - -2). Determine q so that s + 0*q - 4\/7*q**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1348 + -1?\nAnswer: -1349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 6*n**2 - 26*n + 5. Give t(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 54*k**2 - 462*k - 1210.\nAnswer: -2*(k + 5)*(k + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6.54, 4, -2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (3\/3 - 0) - -24. Is 21 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14722.1 - -14722. What is the fourth smallest value in 0, a, -17, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/7 - 32658*m**2\/7 + 717750*m\/7 - 3946294\/7 = 0.\nAnswer: 11, 16307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (39\/2)\/((-45)\/(-120)). Let o = c + -41. Calculate the highest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285 and 180?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*z + 10, 0*r - 2*z + 4 = 2*r. Suppose -r*k = -7*k + 12. Factor 0*p - 1\/5*p**2 + 2\/5*p**3 + 0 - 1\/5*p**k.\nAnswer: -p**2*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(-67)\/((-3015)\/(-30))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -1)\/(2*1). Let a = 4 - 0. Sort -4, a, g in descending order.\nAnswer: a, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + z. Let n be m(0). Let o(y) be the third derivative of -1\/24*y**4 + 5\/2*y**3 - 12*y**2 + 0 + 0*y. Determine o(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - m**2 + m**3 + 0 + 0. Let u = -110 + 118. Suppose -u*f + 3*f = 4*q - 20, -15 = -5*f - 3*q. Give j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29\/5 or 21\/5?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 7*v - 121. Let x = v - 49. Let j(q) = -7 - q**2 + 5 - q + x. Calculate j(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 2*a**2 - 2*a**4 - 2*a**2 + (2*a**2 - 3*a**2 + 0*a**2)*(-a**2 + a**2 + 2*a**2) to the form v*a + z*a**4 + b*a**3 + q + y*a**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/25 (b) -0.02 (c) -112 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 7. Suppose 0*s + 2 = -2*s. Let q(k) = 4*k - 1. Let a be q(s). Is a less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a11 + -77?\nAnswer: -a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.784 and 84.15.\nAnswer: -65.9736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:13 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10263 - -10267. Let i(h) = -h - 5. Let l be i(-7). Suppose -x = -3*f + 20, -3*f - 3*x = -l*f - 20. Calculate the smallest common multiple of p and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47489207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1. Let x(q) = q**2 - 7*q. Let k(a) = 2*c(a) + x(a). Let s be k(7). Let w(d) = d**2 + 13*d - 1. Let i be w(-13). Sort i, 1\/6, s in descending order.\nAnswer: s, 1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118400000 rounded to the nearest one million?\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -45*l - 402. Let z be b(-9). Solve -10*u = -z + 53 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**2*d)**34*d**(-10)\/d**(-5))**(-9) assuming d is positive.\nAnswer: d**(-261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.200811 to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 16*y**2 + 3*y - 8. Calculate the remainder when 30 is divided by u(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/112)\/(1\/(-14)*-4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*z - 2 = 0, -5*z + 79 = -2*b + 71 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in -5, 4\/9, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l - 3. Let x be n(-2). Let o(w) = 4312*w**x - 4316*w**3 + 0*w + w + 6 - 2*w**2. Let z be o(-3). What is z rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 45 = -5*o, 3*d - 15*o + 43 = -20*o. Let n be (-1466)\/30 - d\/55. Do -50 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Let y = -3 - q. Let d = y - -4. Is 0.2 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 985*a**3*k**2*u + 5*a**3*k*u + 2*a**2*k**2*u - 24*a**2*k*u + 9*a**2*u wrt k?\nAnswer: 1970*a**3*u + 4*a**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3*60\/5. Suppose -3*m + 4*z - 30 = 0, 3*z + 12 = -3*m + z. Let c(j) = -j**3 - 7*j**2 - 3*j + 18. Let l be c(m). Solve -i + 3*i - a = l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f - z + 1, -20 = 4*z. Let q be 5 - 3 - (-12 + 1). Suppose 2*i + n = -0*i + 10, f*i = -n + q. Solve 0*d = i*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1948492 and 1391780.\nAnswer: 9742460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Suppose 3*p = 4*m - 470, -5*p + k*m = -m + 787. Is 4\/12 - p\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 1 - 1.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -13*a - 78. Suppose -3*j - a = -6*j. Calculate the highest common divisor of 26 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4167 - -4167. Solve 4*d - 16 = 0, 5*d - 26 = -2*a - i*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.86 and -85.\nAnswer: -85.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11327 divided by 8?\nAnswer: 11327\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {w: 1, r: 2, c: 1, f: 2, u: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 4:24 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.09, 2\/15, -0.4, 0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-13720)\/3087*(-132)\/550\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + -97712025.42.\nAnswer: -97712025.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -268576514\nAnswer: 5\/268576514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (6 + -13 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 399, 533, 615, 639, 599, 489?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**6\/6 + i**5\/4 + 5*i**4\/12 - 5*i**3\/6 - 7*i. Solve c(j) = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 2. Suppose 2*o - 51 = 5*j - 2*o, 5*o + 8 = -4*j. What are the prime factors of t(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76791000 to the nearest 1000000.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3410 (base 5) to base 7\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**44*(y*(y**5*y)\/y)\/(y*y\/((y**3*y)\/y)) assuming y is positive.\nAnswer: y**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4*s - 4, 3*b + 2*s + 8 = 2*b. Let h be 4\/(-6) - 1412\/b. What is the highest common factor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v - 11. What is s(-9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5227 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105*p**4 + 320 with respect to p.\nAnswer: 420*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2651 (b) -0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*i - 74*i - 77*i - 129*i - 77*i - 2*i**2 + 190*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 85*k + 1526. Calculate h(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 111059992 = -2*z, -4*z - 249*y = -245*y - 222120032. Round z to the nearest one hundred thousand.\nAnswer: 55500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*t**4 + 1\/3*t**3 + 0*t + 2\/3*t**2 + 0.\nAnswer: -t**2*(t - 2)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19688480 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 22 = -3. What is the third derivative of b*g**2 - 13*g**2 + g**6 + 3*g**6 wrt g?\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/4 - 123504*j - 5084412672.\nAnswer: -3*(j + 82336)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/(14\/2226). Suppose 35*w = l*w - 18000. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**3 + 3*u**2 + 2. Let a(i) = -11*i**3 - 9*i**2 - i - 6. Let c(l) = -3*a(l) - 8*y(l). Let q(n) be the first derivative of c(n). Factor q(b).\nAnswer: 3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-8))\/(-15*7\/126)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11326 + -1842. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(1 - 3 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.2, 4, -5, 39970?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(152)\/sqrt(8) - (sqrt(931) + -2))**2.\nAnswer: -72*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1373 + 529. List the prime factors of c.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77.1 + 83.1. What is the smallest value in 1.1, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 + (-96)\/15. Is 9 a factor of (p\/10)\/(7\/(-105))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.7526452 hours in weeks?\nAnswer: 0.12352765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5 = -i, -5*i + 38*o - 33*o = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34, -58, -80, -100, -118, -134?\n\"Answer: a**2 - 27*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 16. Suppose -3*s - r = 19. Let g be 2\/(-4)*s\/1. Sort -1, 2, g.\nAnswer: -1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence locm when four letters picked without replacement from mmolco?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, 0.04, 0.3, 2\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1857802 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 133*n - 129*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/5 - 36*v + 4400.\nAnswer: -4*(v - 55)*(v + 100)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 36, 56, 80, 108?\n\"Answer: 2*m**2 + 10*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6272 or -2\/3?\nAnswer: -6272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6419519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64897600?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009554870867 to 7 decimal places.\nAnswer: -0.0095549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53941.\nAnswer: 17, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**3 - 28*z**2 - 12*z + 5. Let h(s) = s**3 - s**2 - 2*s + 1. What is d(x) - 6*h(x)?\nAnswer: -x**3 - 22*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -487*y**3 + 13*y**2 - 8*y - 109. Is l(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -120111022112121101?\nAnswer: 120111022112121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12987 and 481.\nAnswer: 12987","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -543 (b) -3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 401164548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37884 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522497 is divided by 522337.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:25 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 21*r**2 - 15*r + 25. Is x(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -5, -1, 0, 157\/48, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244 + 458 + 211 = -865*q + 48 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 f, and 1 h when three letters picked without replacement from {r: 1, m: 1, f: 1, h: 4, j: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 5*y + 4*d, -68 = -2*y + 2*d - 6. Let l = 26 + -18. Calculate the remainder when y is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 2 + 2 + 7 + 4 to the form o + y*d and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 60.\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 12:21 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 28*s**2 + 129*s - 34. Let z be q(32). Does 13 divide (20\/(-6) - z)\/(14\/(-6846))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 0 - b + 0. Suppose 0 = -2*t + 6 - 0. Let p(m) = -5 - t*m**2 + 5. Give p(c(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(4114)*-2*4)\/((sqrt(288) + sqrt(288)*-2 - sqrt(18))*1).\nAnswer: 176*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (35\/(-15) - -2)\/(44\/(-8)). Sort o, 10, 0.1 in descending order.\nAnswer: 10, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 32 + 12)*(2 - 2*h - 2).\nAnswer: 122*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*(-96)\/32. Solve -2*z = -3*g - 11, -2*g - y = -0*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/(-22))\/((-1)\/482)*-1. What is x rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/15 - (-7 + (-568)\/(-40)). List the prime factors of 14\/v + 3 - 11618\/(-6).\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2.8. Let j = 3.9 - -0.1. Sort j, -5, k in increasing order.\nAnswer: -5, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + j + 5. Suppose 4*n + 8 = -12. Let y(v) = -4*v**2 - 2*v - 6. Let t(h) = n*q(h) - 4*y(h). Give t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b3 + -2c4a?\nAnswer: -2a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 - 93. Let z(v) = -2 + 3 - v**2 + 3*v**u + 3*v + v**3. Let j(m) = -2*m**3 - 2*m**2 - 4*m - 1. What is 3*j(f) + 4*z(f)?\nAnswer: -2*f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1621*z + 42798 - 23627 + 15388 = -20555 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 146*m**2 + 6*m**2 - 73*m**2. Let l(w) = 3*w**2. Determine r(l(q)).\nAnswer: 711*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3))**49)**(-2\/145) assuming d is positive.\nAnswer: d**(98\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88954419 rounded to the nearest one million?\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 6*o**2 + 6*o - 6. Give j(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 3*k + 38 = -13, -34*t = -41*t - 11*k + 4*k - 7 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/966949, 4, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 823988166 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.723 - -0.323. What is the fourth smallest value in 3\/4, p, -2\/79, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 - -5 - 1*-3. Suppose -b + 5*a = -8, -4*a - x - 3 = 0. Solve -s = -q + 1, -2*q - 2*s = b*q + 23 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 - 158 - 84 = 14*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 5. Let v be l(-4). Suppose -j + 36 = v*j. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 95*y - 1857. Let j be z(29). What is the nearest to 0 in 0.1, j, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 35 - 39 = -z, -1 = -a. Solve 0*i - 12 = -z*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2667, 2656, 2647, 2640, 2635, 2632, 2631?\n\"Answer: k**2 - 14*k + 2680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 21*g**2 - 8*g - 18. Let p be v(-26). Suppose -73*t = -39*t - p. Calculate the lowest common multiple of 21 and t.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 16. Determine i(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004448842 rounded to 6 dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0 (c) -4 (d) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 477 and 358595403?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 17 - 5 = -3*q, -5*a + 60 = 4*q. Let p(x) = x**3 - 11*x**2 - 11*x - 17. Determine p(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e36c (base 15) to base 16.\nAnswer: -1815c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*405.9\nAnswer: -162.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/25 - (0 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {m: 7, x: 5, q: 3, o: 1}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1240, -1171, -978, -601, 20, 945?\nAnswer: 2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 134 = 650. Let x be (-4)\/(-20) + 249\/5. Which is smaller: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4106 - -6497. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234513578887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/5))\/v**(18\/11)*(v**9)**(2\/7))**36 assuming v is positive.\nAnswer: v**(21276\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z - 2. Let i be l(-1). Suppose -i*k = -0*k. Solve k = c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + -7 + (-6)\/(-2). Suppose -3*s + s + 4 = -2*t, g*t = -4*s + 8. Solve 0 = 5*d + 23 + s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/5 (c) -1\/2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11113620.35 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2179757 = 2*a - 5*n, -2*a + 2*n - 551936 = -2731720. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1272626.2797 to the nearest one thousand.\nAnswer: -1273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) + (-4)\/6. Let s be -3 - (0\/f - 0). Let p(g) = 3*g**3 + 3*g. Let b(m) = m. Let d = 673 + -672. Give d*p(t) + s*b(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -50, -101, -156, -215, -278?\n\"Answer: -2*k**2 - 45*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let i(h) = 57*h. Let s be (-10)\/15 + 4\/((-144)\/(-60)). Give s*i(w) + 95*v(w).\nAnswer: -38*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/20 and -109\/8754.\nAnswer: 87540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125205 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 540 - 540. Let b(m) be the first derivative of -2\/3*m**6 + 2 - 2*m**2 + c*m**3 + 0*m + 0*m**5 + 2*m**4. Factor b(t).\nAnswer: -4*t*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15225.15 rounded to the nearest 10?\nAnswer: -15230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6913 is divided by 6885?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = d - 10. Let k(u) = -21 + 6*u + 7 - u**2 - 15*u + 2*u**2. Calculate the remainder when k(12) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 2830955.6796443?\nAnswer: -2830955.6696443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-2 - (-30)\/(-1052)*-140). Suppose 19*v + 3 = -16. Which is bigger: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 1\/4*l**4 + 1 - 2\/3*l**3 - 5\/2*l**2 + 0*l. Does 12 divide g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 3 + 0*h**2 - 5*h + 3 to m + k*h**2 + p*h and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -348 and 1674.7?\nAnswer: -582795.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29874*-0.052\nAnswer: -1553.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - (-16)\/4)*-4 - -3)*10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b**2 + 7*b - 7. Let m(a) = -a**2 - 5*a - 1. Let x(w) = -3*w**2 - 33*w - 3. Let s(p) = 6*m(p) - x(p). Give 2*k(d) - 5*s(d).\nAnswer: d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013347 is divided by 506668?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 12:20 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20333 (base 4) to base 13.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*o - 35*o + 1 - 9*o - 48*o - 16*o.\nAnswer: -169*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 115, 169, 223, 277, 331?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91328396921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 931226.436 milliseconds in weeks?\nAnswer: 0.00153972625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 3, 5\/3 in ascending order.\nAnswer: -10, -1, 5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321919687.\nAnswer: 321919687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.173197+379\nAnswer: 379.173197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 12:20 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/8 + 23*p\/2 - 44 = 0 for p.\nAnswer: 4, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 34*m - 1116. Let h = -8 - -14. Calculate the smallest common multiple of h and a(33).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167085 divided by -3\nAnswer: 55695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnddsqdgqdgdggddddgd. Give prob of picking 1 d, 1 s, and 1 n.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.91 times -18?\nAnswer: -142.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (189\/(-10962))\/(5\/(-40))\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/75 + 342\/(-30)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462671161341 + 0.02?\nAnswer: 462671161341.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 15 + 1*-8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 3*o + 0*o)*(-2 - 3 + 3) - 29823 - 11729*o + 29823 + 31173*o to the form r*o + w and give r.\nAnswer: 19442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**3 - 5*g**2 - 6*g. Let b(u) = -6*u**3 - 4*u**2 - 6*u + 1. Let d(w) = 4*b(w) - 5*v(w). Let q be d(-8). List the prime factors of 8\/(-2)*(-25)\/q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m + 5. Let y(d) = -3*d + 12. Let r be y(6). Let h be -4*(-8 - -4)\/16. Let c(a) = h - 317*a + 157*a + 159*a. Determine r*c(f) + s(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = -d. List the prime factors of 16\/4*d\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*(x\/(x*x**(-5)))\/x))\/x)\/x**(1\/4))\/(x**(-2\/7))**(-3) assuming x is positive.\nAnswer: x**(-143\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15516 and 24669578?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2470.4913 months to millennia.\nAnswer: 0.205874275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -346 + 1288*y - 28*y**4 + 348 + 2*y**3 - 1255*y to c*y**4 + z*y + d + l*y**3 + a*y**2 and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 2623 - 2249. Suppose -h + 5*h = w. List the prime factors of h.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (7 - (4 - (13 + 6) - -15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -514991703*r**4 - 94*r**2 + 1390484*r + 1.\nAnswer: -12359800872*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 1320?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -1\/105*m**6 + 0*m**2 - 2\/21*m**3 - 8 + 1\/14*m**4 - 6*m + 0*m**5. Let a(i) be the first derivative of f(i). Factor a(h).\nAnswer: -2*h*(h - 1)**2*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001727472382 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 6:30 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*t + 49, -3*z - 8 = -t + 12. Let x = -7 + t. Put x, 0, 0.3 in ascending order.\nAnswer: 0, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13927 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 116565888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036391 rounded to four decimal places?\nAnswer: 0.0364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 55. Suppose 0 = -m - 4*m - c. Let k = 0.05 - -0.15. Sort m, k, -5\/2 in descending order.\nAnswer: k, -5\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (10 + -19))*-1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/(14\/84). Is (-107154)\/(-24)*(4 + (-8)\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15048.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/55253 and -45\/4636229.\nAnswer: 50998519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56835 and 33?\nAnswer: 625185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1098631.107 seconds?\nAnswer: 1.8165196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6347975 (base 10) to base 8.\nAnswer: 30156307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136 + -133. Suppose -3*x = 5*d - 8*x - 45, b*d + 8 = -4*x. Determine m so that 11\/3*m - 6*m**d + 2\/3 - 3*m**5 - 2\/3*m**3 + 16\/3*m**2 = 0.\nAnswer: -1, -2\/3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 200*i - 2. Let y(r) = 3*r - 1. What is -q(h) + 2*y(h)?\nAnswer: -194*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90324*l + 34*l**3 - 20*l**3 - 16*l**3 - 25360*l + 6*l**2.\nAnswer: -2*l**3 + 6*l**2 - 115684*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3, 2\/7, -2.6, 0?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r = 20. Suppose 16 = -r*u + 44. Solve -3*g + 12 = -u*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -65, -146, -269, -440, -665, -950?\nAnswer: -1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382602411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71119768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8522527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 3) + (-40 - -44).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 4*c**2 + 12*c + 4. Let o(l) = l**2 - 1. Give 4*o(a) + y(a).\nAnswer: a**3 + 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(15) - sqrt(15)*4)*-2)\/((sqrt(105)\/sqrt(5))\/sqrt(7)))**2.\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 5, t: 5, c: 4}. What is prob of picking 1 t, 1 c, and 1 g?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7062.2 rounded to the nearest 100?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88405752 - -385913.5.\nAnswer: -88019838.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 378 - 11*v**2 + 426 - 707 + 390 + 54*v**2 + 2*v**3 wrt v.\nAnswer: 6*v**2 + 86*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -722 - -721.76. Let s = 654933.7600036 - 654934. Let l = s - a. Round l to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20699, 41639, 62841, 84311, 106055, 128079, 150389?\n\"Answer: k**3 + 125*k**2 + 20558*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4203 - -3357. Does 189 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 69.91 (b) 2\/7 (c) 1174\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -12.9.\nAnswer: 2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 18 = -2. Suppose 5*f - 7 = 4*f. Let x(o) = -o + 6 - f - o**2 + 2*o. Calculate x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16156 + 16144. Put 1, -2.3, y, 4, -4\/11 in descending order.\nAnswer: 4, 1, -4\/11, -2.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 876, 5, -2, 1 in decreasing order.\nAnswer: 876, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = q - 0*q. Let z be 6*(q\/30 - 0). Put -1\/2, -2, z in ascending order.\nAnswer: -2, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.03 + -0.03. Let t = d - 6.1. Let h = 0.01 - -0.99. Which is the biggest value? (a) h (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174886 to the power of 1\/2, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16521 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1138, -1269, -1410, -1561, -1722, -1893, -2074?\nAnswer: -2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s**3 - 2*s**2 - 1. Let k(x) = 17*x**3 + 5*x**2 + 2. Let o(g) = 9*b(g) + 4*k(g). Let r be o(-1). Solve r*m + 9 = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(1 - 3\/(-3)). Suppose 3*q = -3*v + 6, 3*q - h*q - 2*v = 17. Suppose 3*t = 4*a - q, 5*t - 15 = -0*t. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14552 - 9684. What are the prime factors of n?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 36*a - 66. Let w be c(34). Let h(v) = 4*v - 6. Let g be h(6). Suppose w*s = g + 282. Does 31 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 - 357. Let p = d - -212. Let k(t) = t - 13. What is k(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 11*s - 5. Let u be v(-8). Suppose 2*a - 3*h + u = 3*a, 3*h = -4*a + 85. Let c = 110 - 55. Calculate the highest common divisor of c and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 5180 = 1948. What is the remainder when p is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**6\/120 + 3*k**5\/20 + 2*k**4\/3 + 2*k**3\/3 + 1431*k**2. Give z(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 7 = -2*o, o - 4*a = 3*o - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/6)\/(2\/30). Suppose 0 = -2*i + 3*i - t. Calculate the remainder when 7 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75481 by 4.\nAnswer: 75481\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + y. Let i(h) = 2*h**2 + 8*h - 1. Determine -i(s) - 2*k(s).\nAnswer: -4*s**2 - 10*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyqqjjjyjjjj. What is prob of sequence qqjy?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyb when three letters picked without replacement from hbywd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b + 14. What is f(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 3\/20*q**5 + 0*q**2 + 0*q**3 + 3 - 5\/4*q**4 - 20*q. Factor u(i).\nAnswer: 3*i**2*(i - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8*z = 65. Let o = -3 - z. Solve 0 = -n - n - o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/18601087 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6 + (-80)\/4)\/2 + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106084 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84354672 a multiple of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, -21, -51, -93, -147, -213, -291?\n\"Answer: -6*f**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3070\/426797 or 1?\nAnswer: 3070\/426797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j + j - 434*j**2 + 442*j**2 to the form r + x*j**2 + t*j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 p, and 1 w when three letters picked without replacement from {f: 4, p: 1, a: 2, w: 1, v: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 3*m + 1, -134 = -3*m - 113 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 14*j = 13*j + 13, -15 = 3*r + 3*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29783, 118990, 267669, 475820, 743443, 1070538?\nAnswer: 1457105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*6*(-2)\/(-4). Suppose -j + 3*k = 3*j - 13, 0 = j + 5*k - g. What is the remainder when 13 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 96*y + 501. Let w be t(-5). Solve 0 = -121*c + 114*c - w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 370\/10 + (-6 - -2). Let i = l + -27. Find the third derivative of -18*c**6 - 2*c**6 - 12*c**2 - 5*c**i wrt c.\nAnswer: -3000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o**2 - 13*o**2 - 2*o**2 - 3994048.\nAnswer: 4*o**2 - 3994048","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z - 15 = 0. Let s = -0.78 + -3.22. Which is the third smallest value? (a) s (b) 3\/8 (c) z (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -3. What is the third derivative of d*f**5 + 3*f**2 + f**2 - 6*f**5 + 4*f**5 wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 4*h + 47. Determine s(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5.46 (b) -5 (c) -1\/2 (d) -44 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**5*y + 4108*b**4*y + 436*b**3 - 30*b**2*y - 11*b**2 + 598*b*y - 8*b + y + 1 wrt b?\nAnswer: 180*b**2*y + 98592*b*y + 2616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65.04 - -70. Let v = -0.04 - u. Let k = -4 - v. Sort k, -2\/15, 1\/2 in decreasing order.\nAnswer: k, 1\/2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrxrr. What is prob of picking 1 x and 2 r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -5. Let q = -11.1 - x. Is q smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*y**3 - 43*y**3 + 127*y**3 - 42*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6227509 or -6227516?\nAnswer: -6227516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-6)\/3 - (1 + -2). Solve 3*t + t = -y + 7, -4*t = -k*y - 32 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*r + 271, -4*r + 4*x = -50 - 174. Suppose -7522 = 51*o - r*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 7. Let a(z) = -z**3 - 11*z**2 - 5*z + 29. Let v be a(-11). Suppose -v*x + 56 = -80*x. Calculate w(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -199, 68, -5 in ascending order.\nAnswer: -199, -5, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2235?\nAnswer: 17880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-31))\/(q*q**(-42)) assuming q is positive.\nAnswer: q**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2\/13 (c) 3341 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1375 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2895, 13573, 32007, 58197, 92143, 133845, 183303?\nAnswer: 240517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3531715 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1143794, -2287589, -3431384, -4575179, -5718974, -6862769?\nAnswer: -8006564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c\/(c\/c**(-4\/13)))\/c*c)\/(c**1\/c*c))**(-28)*(c**(-1))**(-18)\/(c**2)**(5\/9) assuming c is positive.\nAnswer: c**(-292\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 271c24?\nAnswer: -271c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 925144901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000083072 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 16) in base 7?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -3*k**2 - 3765. Let o(q) = 50*q. What is o(w(p))?\nAnswer: -300*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1136 - 975.8. What is d rounded to zero decimal places?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8250 (base 9) to base 14\nAnswer: 22b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 9 + 5 = d, 3*n = -5*d + 35. Suppose 0 = y + 2, -n*j + 170 = y - 1063. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.010929 and -43.\nAnswer: -42.989071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {w: 1, d: 1, u: 12, f: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 666717, 1333433, 2000149, 2666865, 3333581, 4000297?\n\"Answer: 666716*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5413 + 5424. Let a = -93 - -277. What is the remainder when a is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 - 17*b**2 + 30*b + 5. Let q be v(-10). Let r be 1*-2 - 1518\/(-198) - q. Let -16\/15 - r*p**3 - 56\/15*p - 44\/15*p**2 = 0. What is p?\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5 + 28*b**4 + 76*b**3 + 100*b**2 + 64*b + 16.\nAnswer: 4*(b + 1)**3*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61204 != 61226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24288*a*s**2*w**2 - 4043*a*s**2*w + 8*s**2*w**2 - 2*s**2*w - 5*s**2 - 106399*s*w**2 + 2*s - 2*w**2 wrt a.\nAnswer: 24288*s**2*w**2 - 4043*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 5 (b) 4\/9 (c) -0.1 (d) 21\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125 - -1167?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d*f**2 - d*f - 1721*d - 589*f**4 - f**2 + 28 wrt f?\nAnswer: 6*d*f - d - 2356*f**3 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59.1 in 4, 1, 6.6?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 12*u + 23 = 15*u, 3*u + 9 = 0. Suppose 4*i + 3 - 19 = 0. What is the smallest common multiple of i and 3\/2 - (-4)\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -4*r + 90 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 - (28 + -10) - 141?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56, 107, 162, 221, 284?\n\"Answer: 2*z**2 + 45*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 5 = -r. Let o = 0 - 25. Let g = o - -55. Calculate the remainder when g is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, 11, -2.5 in increasing order.\nAnswer: -2.5, -0.1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -530 divided by -106?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(2*1\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**5\/13 - 262*o**4\/13 + 774*o**3\/13 - 770*o**2\/13 + 256*o\/13 = 0.\nAnswer: 0, 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -0.7. Let r = 34353 + -34353.3. What is the closest to 1 in h, r, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 40 = 3*n, -8*g + 3*g = n - 39. Let c(k) = -k**3 - 2*k**2 - 1. Calculate the least common multiple of g and c(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let h = 369000\/17 + -21706. Which is the closest to k? (a) 5 (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2*d*d\/(d\/(d\/d**7))*d)\/(d**(-12)\/d**0))**(-14) assuming d is positive.\nAnswer: d**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10910100 by 2460.\nAnswer: 4435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4400.9 + -4401. Which is the closest to -6? (a) t (b) -1 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2\/3 (c) 2\/7 (d) -1203 (e) -1\/2 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068843704?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.123434 - 0.123434. Suppose 0 = -2*y - 3*y - 3*j + 27, 0 = 2*y + 2*j - 14. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 115*j - 34735. Determine x(302).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 682123 divided by 13.\nAnswer: 52471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19580903*-1.\nAnswer: 19580903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2774*a + 2766*a - 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7516 - -7511. Which is the third biggest value? (a) -0.1 (b) -232 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 0*k - d + 19, 2*k - 2*d - 12 = 0. What is the remainder when 13 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 598 - 261?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -483 - -488. Suppose 8*z - 3*z + 4*n = 494, n + 489 = p*z. What is the remainder when z is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -15, 137 = -5*l - 4*y + 37. Let n be l\/(-14) - (1 - -1). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -68. Let p = -12 + 30. Calculate the remainder when n is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 7*o + 4*o)*(-2*o + 4 - 4) + 2*o - o**2 - 2*o + 0*o**2 - 2*o**2 + 0 - 2.\nAnswer: -5*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 135 = -5. Calculate the remainder when (-292)\/(-7) + (-4 - (-120)\/r) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*u = u + 6, -4*u - 14 = l. Suppose 3*d + d = -l*x + 1508, 5*d = -2*x + 1505. Suppose 3*i = 8*i - x. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2429 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 954 + -952. Factor 172 + 73*d - 58*d**2 + 84*d**k + 172*d + 5*d**3 + 104*d**2 - 52.\nAnswer: 5*(d + 1)**2*(d + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190442 + 47334 = -14861*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -333, -344, -359, -378?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*0\/(-3))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Let y(p) = p**3 + 6 - a*p + 5*p**2 + 0 - 4*p. Calculate the least common multiple of y(-6) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -b?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 613395.\nAnswer: -1840185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 29. Let i be (-122)\/(-10) + z\/(-15). What is the greatest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 708226?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 5. Let u be o(0). Let k(s) = -3*s**3 - 5*s**2 + 5*s. Let l(n) = -12*n**3 - 21*n**2 + 21*n. Give u*l(g) - 21*k(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 157 in -5, 0.02, -1, -2\/13, -3, -1\/223?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 3. Suppose -120 = 2*f - y*f. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 745\/45*(-3)\/(-10) and 46\/111.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8198748, -16397488, -24596224, -32794956, -40993684?\n\"Answer: 2*h**2 - 8198746*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3368.1973982 less than 0.1?\nAnswer: 3368.2973982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 6*m + 7. Suppose u + 2 - 4 = 0. Suppose 2*n - u*c = -2, 2*n - 5*c = 7*n - 25. Calculate the remainder when y(-6) is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -806 - 46 = -4*f. Let o = -234 - -352. Let z = f + o. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 980619 is divided by 897?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9631 - 9609. Solve -r*h + 192 = 10*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76\/3 + 26. Put 5, -2\/13, k in descending order.\nAnswer: 5, k, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -5*o - 20 + 51, -3*o - 4*p = -25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -2212023?\nAnswer: 2212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18087596?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 5. Let d be h(5). Let g = 5 + -3. Let k be ((-2)\/(-6))\/(g\/(-6)). Which is greater: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28933\/94185 + -38\/585. Let x = -1\/23 - i. Let k = 10 + -12. Which is the nearest to -0.3? (a) 5 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*d - 294 = 0, d = -4*p + 2*d + 578. Suppose y - 5*y + p = 0. Suppose 2 = 3*c + 5*q - 1, 5*c = 2*q + y. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 - -92.85. Let n = 0.35 - i. What is the biggest value in 3, n, 1, -4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*y**6 - 490483*y**3 - 129*y**2 - 20870*y + 1 wrt y?\nAnswer: -720*y**3 - 2942898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -7. Let p(j) = 2*j - 1. Let s be p(b). Solve -3*v - 4*r = -5, -3 - s = -v + 5*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317763 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110402 (base 6) to base 4\nAnswer: 2100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b6 - -8d?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/325*5)\/(14*171\/3458).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - ((sqrt(99) - 1*sqrt(99)) + sqrt(99)))*-6)\/(6*(sqrt(9) - 2*sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93.2 + -93.1. What is the nearest to l in 0.14, 2.7, -1\/3?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*g + 127*g - 11325 = -226*g + 17847 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 697919.4 millilitres?\nAnswer: 697.9194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 10*u + 5. Give x(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(95)\/sqrt(5) + (sqrt(19) + -2)*5)**2 - (3*sqrt(57)\/sqrt(3) + 2)**2*5.\nAnswer: -240*sqrt(19) + 764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 186 + 2?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 14*m - 13 - 63 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31098444 to the power of 1\/3, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 3:55 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1118005 - 526823. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21993294.534 - 0.02\nAnswer: -21993294.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 80a39 (base 12) to base 16\nAnswer: 28dcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 a factor of 2107902765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -90, -193, -320, -483, -694?\n\"Answer: -2*q**3 - 89*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j. Suppose 4*b + 5*h - 21 = -2, -26 = -4*b + 2*h. Let c(t) = 2*t**2 + 11. Let a(u) = -u**2 - 6. Let q(y) = b*c(y) + 11*a(y). Determine o(q(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 5)*(-3*n - n + 3*n + (-2*n + 3*n - 3*n)*(2 + 5 - 5) - 4 + 4 - 2*n)*(4 + 0 - 6).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 51 - 57 = 0. Suppose 28 = r*g - 23*g. Suppose -4*o - 2 = -18. Calculate the lowest common multiple of g and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 16)*(16224 - 460*f - 16224).\nAnswer: 7820*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 34 = -70. Calculate the remainder when z is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121849 to the power of 1\/2, to the nearest integer?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-37)\/(-5) - (-24)\/(-60). Let c = 12 - v. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 677 - 73. Suppose 4*r + 5*q = z, 3*q + 1 + 2 = 0. Calculate the least common multiple of 6 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 4*z + 0*z - 3*z + 2*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -824*a**3 - 4692*a**2 + 1512*a = 0?\nAnswer: -6, 0, 63\/206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*k = -0*k + 45, 2*k = -4*y + 18. Suppose 0 = -4*j - 3*i + 27, -19 = 4*j - 5*i - y. Factor -l**j + 1 + 3*l - 2*l**3 + 3*l**2 + 4*l**3.\nAnswer: (l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 7*w**2 - 8*w - 3. Let x be d(-5). Let i = 24 + x. Let z(v) = 5*v**2 + 10*v - 11. Let q(j) = j**2 + 2*j - 2. Give i*q(l) - 2*z(l).\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 12. Suppose 5*p - 4 = a, 0*a + w*p = -2*a + 31. Find the second derivative of 16*s**2 - 3*s - 4*s**2 - a*s**2 - 9*s**2 wrt s.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10909, 21800, 32679, 43540, 54377, 65184, 75955?\nAnswer: 86684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 6:43 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2854226 and 14271130.\nAnswer: 14271130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24383?\nAnswer: 37, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 10360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4281 = 11*a + 1146. Suppose -891 = -3*z + 3*d, z - a = 2*d - 4*d. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -10 + (5 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.2. Let l be (-1)\/((-35)\/120) - 4. What is the second smallest value in c, l, 10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3.1. Let q = -7.7 - 2.3. Let u = q - -8. Sort u, -0.4, m in decreasing order.\nAnswer: m, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r - 6. Let z be g(-2). Suppose -n - n + 6 = -2*p, 0 = -2*n - p + z. Suppose -5*b + 975 = n*w + 2*w, -w = -2*b - 204. List the prime factors of w.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (3 - (-10 - -3)). Let t(g) = -s*g**2 + 52 + 13*g**2 + 14*g + g**2. What is the remainder when t(-13) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 52 + 22 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 8150*i + 1084873. Determine n(-131).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 1218 - 354. What is the highest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 353400 and 4650?\nAnswer: 353400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b**5 + 5528257*b**2 - 83313695*b?\nAnswer: -160*b**3 + 11056514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (9\/(-3) + 3). Suppose 2*w = 3*m + 26, 6*m + 65 = c*w + 2*m. Let g = w - -19. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -529\/9. What is the closest to 1 in s, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108822 divided by 18137.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 8*z - 10. Let k be c(-6). Find the second derivative of 5*h - 3*h**k - h**2 + 8*h**2 - 12*h wrt h.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 49641, 101721, 153801, 205881?\n\"Answer: 52080*s - 2439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4623059?\nAnswer: 7, 43, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:17 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 3*h - 1. Let z be n(2). Is 4 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - c + 0*c)*(192 + 203 - 640) to the form x + a*c and give a.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 8*m**2 - 10. Give a(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 121352999*q**3 - 73302497?\nAnswer: 364058997*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 208, 263, 332, 421, 536, 683, 868, 1097?\n\"Answer: d**3 + d**2 + 45*d + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -89*h**8\/28 + h**6\/30 + 25*h**4\/12 - 22*h. Find the third derivative of c(g) wrt g.\nAnswer: -21360*g**3 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31\/2 of a hour?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*f + 694591 - 2095858. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53486 is divided by 182?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 14*b**2 + 14*b - 9. Let z be u(13). Solve z*j + 12 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -0.2, 1.2, 48 in decreasing order.\nAnswer: 48, 1.2, -0.2, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1053))**2 - (0 + 0 + sqrt(13)).\nAnswer: -sqrt(13) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-4) - 10\/(-8). Let q = d - -2. Suppose 3*z - 27 = -u - u, 40 = q*u + 4*z. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + c - c)*(0 - 4 + 5) - 2*c - 3 + 3 + 701*c + 104*c + 704*c to the form p*c + z and give p.\nAnswer: 1505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 10*l + 27. Suppose 3*v = -l*f + 255 + 156, 2*v - 246 = 5*f. Does 39 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*d - 121*d + 70 = 0. What is the highest common factor of d and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 31 = 4*w + 57, -5*c - 5*w - 10 = 0. What is the third derivative of -50*t + 30*t - 88*t**c + 3*t**5 + 3*t**2 - 5*t**5 wrt t?\nAnswer: -120*t**2 - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16846 - -285?\nAnswer: 17242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s**(1\/4))*s))\/((s\/((s\/(s\/s**(-6)))\/s))\/s))\/(s\/s**(-1))**(-8))\/((s*s*s**(1\/4)*s)**(22\/7)*(s*s**(-1)*s)**(-2\/15)) assuming s is positive.\nAnswer: s**(-349\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136695 and 390.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24957953681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 71. Let i be j(73). Solve 4*x + 4 = 4*m, i*x = -9*m + 7*m + 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m + 12. Let c(f) be the first derivative of 8*f - 4 + 44*f - 12*f**2 + 11 - m*f + f**3. What is l in c(l) = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 124*h**2 + 748*h + 23. Let t be r(-6). Let z = -8 + 6. Which is the nearest to t? (a) z (b) 2 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 0*c**4 + 0*c + 1\/3*c**5 - 1\/6*c**6 + 5\/336*c**8 + 0 - 10*c**2 - 1\/42*c**7 + 0*c**3. Factor w(n).\nAnswer: 5*n**2*(n - 2)*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 3. Suppose -5*h - 22 = 3*d, 12*d - 7*d + 18 = h. Let w(l) = -l - 1. Let v(j) = -j - 1. Let k(z) = h*w(z) + 3*v(z). Calculate -3*i(f) - 7*k(f).\nAnswer: 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -213, -310, -395, -462, -505, -518?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17130 - (-1 + -10 + 8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 + -71. Find the third derivative of -2*p**3 + 1 + 101*p**x + 3*p**2 - 8 - 2 + 45*p**4 - 41*p**4 wrt p.\nAnswer: 2520*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*h - 13238*h**3 + 440*h + 13217*h**3.\nAnswer: -21*h**3 + 568*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m + 33*m - 795 - 105 = -97*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-4 - -1 - 8\/(-3)). Solve -3 - w = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 607 * -25764.\nAnswer: -15638748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 + 1 = 0. Let l = -10 - -12. Suppose p + 3 = l*p. Calculate the smallest common multiple of p and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 0.3 (b) 3 (c) -1 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + (sqrt(1323) - -1*sqrt(1323)) + sqrt(27))**2.\nAnswer: -270*sqrt(3) + 6083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4)*-8 - 2. Suppose 17 = 2*n - o, 3*n + a*o = 4*n - 10. Calculate the least common multiple of 4\/(((-2)\/(-4))\/1) and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 213 - 874 + 661.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**3 - 3*m**3 + 4*m**3 + (1 + 0 + 7)*(-3 - 3*m + 3)*(-5*m**2 + 3*m**2 + 9*m**2) + (0 - 1 - 1)*(m**3 + 5*m**3 - 4*m**3).\nAnswer: -174*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqq when three letters picked without replacement from yqyqyqff.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*18\/(-306))\/((-1)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*t = 9, 2*t = -2*x - 2*t + 6. Suppose 4*h - x*h = 0. Factor 0*q**2 + 0 + h*q**4 - 1\/2*q**5 + q**3 - 1\/2*q.\nAnswer: -q*(q - 1)**2*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/9, -15.1 in ascending order.\nAnswer: -15.1, -1, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*1)**2 + 1 + sqrt(272) + -1*(-1 + sqrt(272))**2.\nAnswer: -119 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Suppose l*p - 1 - 5 = 0. Suppose -p*k - 5*r = -39, 4*k = k - 3*r + 36. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**6*u**2 + 974*n**3*u**3 - 1819*n**2*u**3 + 2*n**2*u**2 - n**2*u - 7*n*u wrt n?\nAnswer: -360*n**3*u**2 + 5844*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 - 2*v**2 + v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**4\/3 + 1015370*u**3\/3 - 51349415165*u**2\/3 - 6748713565720*u - 662650599917040 = 0. What is u?\nAnswer: -196, 101733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80922 - -160695. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32960 + 33166 - 66604 - 8*l**2 to y*l + v + f*l**2 and give v.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*v = 14, 3*d - 5*d + 1 = -v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -27, 0.5, 0.042?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237 + -211. What is the greatest common divisor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*j - 4 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.052 + -0.052116. What is j rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 + -1 - 4526\/438. Put 2, 0.005, s, 0 in decreasing order.\nAnswer: 2, s, 0.005, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 11*r**2 - 9*r + 10. Let t be s(-10). Suppose t = -6*k + 3*k. Solve 2*i - 9 + k = -f, 4*f = 4*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22218250 divided by -444365.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51, -53, -45, -21, 25?\n\"Answer: v**3 - v**2 - 6*v - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 150651*3\nAnswer: 451953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {w: 2, g: 2, c: 1, v: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*m**2*o + 9*m*o**3 + 1000*m*o**2 + 15*o**3 + o - 1916 with respect to m.\nAnswer: -8*m*o + 9*o**3 + 1000*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29\/1486 (b) -5 (c) -160 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-7) + (-6464)\/(-7). Suppose -2*r = 5*q - t, 2*q - 3*r - 197 = 176. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1496*l**3*n**3*o**2 - 73*l**3*n**2*o**3 - l**2*n**2*o**2 - l**2*n*o - 488*l*n**3*o**3 - 4*n**3*o wrt l.\nAnswer: 8976*n**3*o**2 - 438*n**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -1.597?\nAnswer: -4.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 62. Let n = q - 25.72. What is n rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 - y. Let b(p) = -459*p**2. Determine o(b(d)).\nAnswer: 1053405*d**4 + 459*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -353366, -353368, -353380, -353408, -353458, -353536, -353648?\n\"Answer: -u**3 + u**2 + 2*u - 353368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 146730 (base 11) to base 3\nAnswer: 102121102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -18493\/3 in decreasing order.\nAnswer: 1, 0, -18493\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.83 - -0.8. Let s be 1\/5 + 3\/(-90)*1. What is the second biggest value in 4, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6) + 13 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 5226?\nAnswer: 5229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u - 3. Let j be q(-4). Let i = -21 + j. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10) - (-285)\/475?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8*551\nAnswer: -4408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 - -81. Suppose -z + 5 = j, 4*q + 4*z - z = 87. Solve 4*t = 5*t - 4, -3*c = -3*t + q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, a: 7, i: 6}. Give prob of picking 1 d and 2 a.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 + -1.1. Let t = 5.1 - v. Put 3, t, 1 in decreasing order.\nAnswer: t, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10*q - 134. Let h be l(15). Let t be -15*(-3 + h\/6). Solve 4*c - 12 = -2*y, -t*y - c + 10 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*m + 5*m. Suppose -4*x = -m*x. Is 359 + x + (-1 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4059, 9, -4, -1.\nAnswer: -4, -1, 3, 9, 4059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -77000.042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0, 1, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f - 218 - 102 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386 = 21*w - 3*h - 410, 0*h - h = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 9:12 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86545 is divided by 98?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/21, -4, 3, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -77. Solve 0 - 6 = 2*y + 2*j, o = -3*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -42*s**2 - 10*s - 2. Let b be l(-12). Round b to the nearest one hundred.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/17, 0.56, -1\/5?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2 - 8*t**2 - 14 + 23. Let u(c) = -8*c**2 + 6. Determine -7*u(q) + 6*x(q).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50727, -101450, -152195, -202968, -253775, -304622, -355515?\nAnswer: -406460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 554758?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -114\/1746397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.917 + -1.217. Let c = 5 + -8. What is the biggest value in 2\/15, c, l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9944 - 6512. Does 52 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 15 = 0, x = 3*r - 5*r - 111. Let g = r - -59. Solve 0 = g*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*x - 2*x = 2, 18 = 2*v - 2*x. Suppose -494 - 274 = -v*o. Find the third derivative of -164*s**2 - 3*s**3 - 4*s**3 + o*s**2 - s**3 wrt s.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1\/3)\/(53 - (-2066)\/(-39))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 6*s**2 + 32*s - 20. Let r be h(-6). Which is the second smallest value? (a) r (b) 88\/7 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25634379*c + 31752691?\nAnswer: 25634379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q**2 + 24*q + 7. Let f(p) = -4*p**2 + 12*p + 3. Give -3*b(t) + 7*f(t).\nAnswer: -t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1353724906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3577 is divided by 81?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k**2 + 3*k**2 + 2*k**2)*(2 - 2 + 1)*(11 - 2 + 12) in the form t*k**2 + q*k + f and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56828947 is divided by 11365782.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51941688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfgbfcobncon. Give prob of picking 1 n and 1 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -490 + 511 + (62 - -5 - 5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 1. Let l(i) = -10*i. Let a(g) = l(g) - 6*z(g). What is the units digit of a(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 b when three letters picked without replacement from qbqqlbequ.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 9772 = f - 20859, -153155 = -5*f - 3*x. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**5\/30 + w**4\/8 + w**3\/2 - 9*w**2. What is l(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 4, t: 1, v: 2, f: 7}. What is prob of picking 2 v and 1 c?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 42*p**2 + 171*p**2 + 42*p**2 + 1 + 0.\nAnswer: 255*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 7. Let k = 44.1 + -45. What is the third smallest value in 0.3, h, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 4, 5, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/5 + 22*i**3\/5 + 6*i**2\/5 - 14*i + 44\/5 = 0 for i.\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 4:53 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1330230 (base 4) to base 16\nAnswer: 1f2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99678180 divided by 420.\nAnswer: 237329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12928 and 6464?\nAnswer: 12928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*j**3*n**2 + 16*j**3 - 14*j**2*n**4 - 15*j**2 wrt n.\nAnswer: -30*j**3*n - 56*j**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 3*n - 4. Let k be v(-4). Let j be (-4)\/(-8)*(k - -8). Solve a = j*a + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1155 by 8.\nAnswer: -1155\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294919 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473232777.\nAnswer: 3, 157744259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*j - 112 wrt j.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 99?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -296*l**3 + 165*l**3 - 3*l**2 - 1 + 15*l**4 + 128*l**3 in the form j + v*l**4 + y*l**2 + h*l**3 + k*l and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/30*50\/40?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - x. Let k be p(-3). Let g = 360 - 309.3. Let t = -46.7 + g. Which is the biggest value? (a) t (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -11*p**6\/30 - 14*p**2 + 26*p. Find the first derivative of u(q) wrt q.\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/4 + 3*j**2\/4 + 27*j\/4 - 27\/4.\nAnswer: -3*(j - 3)*(j - 1)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 24 + 28)*((-4 + 2 + 3)*(2*s**5 - 4 + 4) + 7*s**5 - 8*s**5 - 42*s**5).\nAnswer: -1271*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343765, 1375043, 3093861, 5500219, 8594117?\nAnswer: 12375555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70742 divided by -5053.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 55. Is 55 a factor of n(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3782 (base 9) in base 5?\nAnswer: 42303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**8\/60480 + x**7\/15120 - x**5\/15 + 5*x**2. Let w(c) be the third derivative of p(c). Determine n so that w(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-52\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14094 and 47241?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 - 2*p**4 + 88*p**2 - 90*p**2 + 0*p**4 + 2*p in the form u + x*p + b*p**2 + v*p**3 + q*p**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 6 = 66 + 81 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 878424317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 903152\/2402*2\/(-16)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 20\/(5 + -1). What is the tens digit of 1\/(-7) + 141\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4f1 (base 16) to base 10.\nAnswer: -1265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -3504 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*2*(-2*sqrt(132) + sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132) - sqrt(132)))\/(sqrt(432)*1 - sqrt(768)*-2)*-1)**2.\nAnswer: 441\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 76291 (base 14) to base 11\nAnswer: 185885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 9*n**2 - 7*n - 7. Let h be r(-8). Let s be (h\/132)\/((6\/(-4))\/3). Do 0 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 15*s + 5. Let y be q(15). Solve k + 4*k = y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, 4, -25, -92, -209, -388?\n\"Answer: -2*d**3 - d**2 + 14*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152.07 - 153. What is p rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 + 6952\/(2 - -6).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3317, 6643, 9983, 13343, 16729?\nAnswer: 20147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6871937689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20596611 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 11 = -r - 2, -5*n - 2*r = 33. What are the prime factors of (3\/6)\/(n\/(-224))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 39451 + 39383 = 3*u, -s + 6*u + 43 = 0 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 8:06 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 55825493?\nAnswer: 55825492.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 60*v - 270. Calculate w(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f - 5. Suppose -68 = 8*z - 6*z. Let t = 36 + z. Suppose t*s = -2*n + s - 12, 3*n = -4*s - 23. Determine j(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from ghsppphprsph.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 769 in 0.1, 1\/3, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 8. Let b be l(15). Is b\/4*(-6 - 32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**4\/6 - 147*z**2 + 2*z - 6. Let n(r) = 2*r**2 - 97. Calculate n(f(v)).\nAnswer: 32*v**2 - 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 45. Solve -2*l = -6, a + 0*a + 3*l - x = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -219 divided by 73\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1*(-5)\/(-2). Let w(r) = 2*r**3 - r**2 - 2. Is w(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*q - 0*o + 20, 0 = -3*q - 5*o - 13. Let s be (-2)\/q*-5*-3. Solve -s*l + 26 + 4 = 5*f, 3*f - 4*l + 10 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 + -114. Let w = 7 - o. Which is the closest to 1\/4? (a) -1\/9 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*d**2 + 129*d - 62*d + 119*d wrt d?\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8250983 to 2 decimal places.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*v + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/15)\/(u\/(u\/(u**(-7)*u))))**(-3\/14) assuming u is positive.\nAnswer: u**(-46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(2 - 4)*777\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q - 833 = 52*q. Let g = -45 - q. Solve -15 = -5*i, i = g*u - i + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 9 = 3*c. What is the smallest common multiple of 24 + ((-6)\/3 - 0) and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -842 - 7894. Suppose -k - 2*d = -0*k - c, 0 = d - 5. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -683 (b) -1 (c) -3 (d) -4 (e) 0 (f) 2\/9 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 9. Let v be (-51)\/(-90)*-2 + (-20)\/(-150). Sort n, -3, v in decreasing order.\nAnswer: v, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1172718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9653*s + 462*s**3 - 9653*s + 1 - 271*s**3 - 9.\nAnswer: 191*s**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(18) - sqrt(18)*-2*-3)\/(sqrt(6) - ((sqrt(864)*2 - sqrt(864)) + sqrt(864))).\nAnswer: -25*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-685)\/822)\/((-10)\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p = -37*p - 2. Find the third derivative of 11 - 11 + 24*k**p - 30*k**4 + 15*k**2 wrt k.\nAnswer: -720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, m: 1, r: 1}. What is prob of sequence mp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 808250 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15987 divided by -4?\nAnswer: 15987\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 33\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x - 4. Let l be x\/(-5)*1 + (-47)\/(-5). Solve 0 = -3*v + 2*f + 5, 4*v - f - l = 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -225481?\nAnswer: -225478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvrvrvvvvrvvvv. Give prob of picking 1 v and 3 r.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788186549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {k: 4, i: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 139*y + 2581. Calculate q(-25).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -57*o - 32*o - 1170 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 226, 374, 664, 1144, 1862, 2866?\nAnswer: 4204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2 - 3 = 5*r, -2*q + r = -1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*(-107)\/642?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 403*a + 2021. Give w(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -12096.34.\nAnswer: 48385.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8548664, -17097334, -25646004?\n\"Answer: -8548670*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -30. Let h = -30 + d. Let x = 4.96 + 0.04. Sort 1, x, h in increasing order.\nAnswer: h, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 190616.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9\/3931 - -7673\/82551. Which is the nearest to -1? (a) -3\/4 (b) l (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 divided by 7?\nAnswer: 335\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11548201*o**3 - 8650*o**2 - 54*o - 4.\nAnswer: 69289206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2009*c + 503*c - 1097*c = -2603 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81174 (base 15) to base 6.\nAnswer: 12432101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j + 35 = -5*w, 10 = -2*j. Let d = -253 + 256.13. Let x = 3.23 - d. Which is the smallest value? (a) x (b) w (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*m**4 + 5*m**3*y - 2*m**3 - 2*m**2*y - 86*y wrt m?\nAnswer: -192*m + 30*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**10*y**0*y*y*(y*y*y**2)\/y*y*y\/y**(-11) assuming y is positive.\nAnswer: y**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(88) - sqrt(22)) + sqrt(22))\/((sqrt(20)*1)\/sqrt(10)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*i - 16, 0*b + b - 3*i - 10 = 0. Let w be (-1)\/b - (-2 + -1). Suppose 5*l - 15 = 10, w*r - 2*l = 132. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 - 9*a - 2. Let y be 8\/(-6)*-2*15\/4. Let p be (14\/28)\/((-1)\/y*-1). What are the prime factors of s(p)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2539435?\nAnswer: 5, 131, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -10*a - 13. Let v = 45 - 53. Let m be j(v). Let c = m + -19. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3088398434 to the power of 1\/3, to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 268033.8 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t + 14. What is the tens digit of o(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40502 and 789.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 128034690?\nAnswer: 512138760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 12:08 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21122 (base 3) in base 15?\nAnswer: db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61447 and 5042941?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60471 - 41063. Suppose -33*d + 17*d = -u. Is d a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45.5 + 45. Let z = -948\/7 - -44535\/329. Put z, -2\/7, b in decreasing order.\nAnswer: z, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v + 4*v**2 - 11 - v**3 - 3*v**3 + 26. Is 57 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j - 2 = 3*s, 3*j = 4*s + 2. Let t(x) = 4*x**3 - 2*x**2 - 4*x - 2. Let f be t(j). Is (f\/(-3))\/(4\/18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/13 + 2*o**2\/13 + 152*o\/13 + 280\/13.\nAnswer: -2*(o - 10)*(o + 2)*(o + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 2. Let r be v(-3). Suppose -5*m + 30 = 2*b, -m + 7 = 2*m - b. Find the first derivative of -5 - 4 + r - m*w + 0 wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 22. Let y = b + 58\/5. Sort y, -4, 3 in decreasing order.\nAnswer: 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 7:07 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 4:49 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmu when three letters picked without replacement from {a: 3, m: 3, i: 1, u: 1, k: 6, d: 1}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (25\/(-125))\/((-2)\/20). Solve -5*g + d*g + 9 = 3*j, 28 = 4*g - 4*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 3*w - 150 = 11*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 29*t**2. Let u(h) = -21*h - 2. Calculate m(u(q)).\nAnswer: 12789*q**2 + 2436*q + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j = 17*j + 97160. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -114\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48294846 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3441, 6897, 10357, 13827, 17313?\n\"Answer: s**3 - 4*s**2 + 3461*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -20 + l**2 + 0*l + 0*l**6 - 12*l**3 + 1\/8*l**4 + 1\/105*l**7 + 0*l**5. Differentiate c(i) with respect to i.\nAnswer: 8*i**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(21) - 5*((sqrt(84)\/sqrt(4) - sqrt(21)) + sqrt(21) + sqrt(21))))\/(sqrt(33)\/(2*sqrt(275))).\nAnswer: 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*h - 3 = -101*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -63010247.2 at most -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**7*((m\/(m*m**(2\/11)*m))\/m)\/m*m**(-1\/3)*m)**(1\/28) assuming m is positive.\nAnswer: m**(379\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let u(o) = 29428494*o - 1. Give d(u(h)).\nAnswer: -29428494*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 187.52529 - 0.162\nAnswer: 187.36329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*w**2 - 4*w**2 - 59*w**2 + 171*w + 50.\nAnswer: w**2 + 171*w + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/13 in -8, 4, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*q - 134 = 25*q - 26*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42131 + 2340 = 4101*o - 4741 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + b13?\nAnswer: b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 178, 365, 640, 1009?\nAnswer: 1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6903 and 234?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, s: 5}. Give prob of picking 1 s and 1 p.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(-8)\/60*3. Let t(f) = f + 1. Let u(o) = -5*o + 6. Let z(r) = l*t(r) - u(r). What is the derivative of z(w) wrt w?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9*(-4)\/(-80))*(-9)\/(-45)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 328179 and 787.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -25*x**2\/2 - 15*x - 134. Let w be j(-1). Let z(m) = -3*m + 13. Determine z(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -234.\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 3239\/859?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + ((-4 - -3) + 1 - -14)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(4 + 6 + -11). Let p(t) be the third derivative of -1\/3*t**3 + 17*t**2 + s*t + 0 + 1\/60*t**5 + 1\/24*t**4. Calculate p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = 5*n + 70, -q = 0. Let w be 30\/297 + (n\/(-9))\/(-7). Let h = -131\/1353 - w. Is h less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(-10\/9)*d*d))**(4\/7)\/(d**(3\/2))**(13\/5) assuming d is positive.\nAnswer: d**(-2057\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339*a - 57 = 320*a. Let i(r) be the first derivative of 2\/21*r**a - 2\/7*r**2 + 0*r - 3. Determine t, given that i(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b**3 + 154045*b**2 + 115550*b - 38515 = 0.\nAnswer: -1, 1\/4, 7703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1818*k**2 - 4*k - 2. What are the prime factors of x(-1)?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/15)\/(71\/(-1065)). Let x(b) be the second derivative of 3*b**2 + 1\/4*b**4 + 0 - 3\/2*b**d - 11*b. Determine k so that x(k) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -152*p - 5. Is k(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)*z\/(z**22*z))**33 assuming z is positive.\nAnswer: z**(-715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 - 7*t - 47. What is the hundreds digit of g(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 0*i - 4*i - 34*i**2.\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39961, 80286, 120611?\n\"Answer: 40325*h - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 6*g + 10. Determine s(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111 and 25986062?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -662 + 663. Let k = -9 - -8. Which is the closest to g? (a) -3\/5 (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67663 times 0.0946\nAnswer: 6400.9198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, m: 3, y: 5}. What is prob of picking 2 m and 1 y?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 3363.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 1492.\nAnswer: 7460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 20*l**3 - l + 1. Suppose 2*r + 3*v = r - 8, -2*v = 2*r + 4. Let f be b(r). What is the tens digit of ((-84)\/(-10))\/(f\/50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36.5 + 40.5. Suppose k + 2 = -0. Which is the nearest to o? (a) 0 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 9:28 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/39 and 73\/109227.\nAnswer: 1419951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcttcc. What is prob of sequence tc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**2\/2 + z + 3007. Let r(o) be the third derivative of -o**6\/12 + 5*o**4\/12 - 5*o**3\/3 - 7*o**2. What is -10*n(w) - r(w)?\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 9?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 981 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3367, -3366, -3365, -3364?\n\"Answer: l - 3368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - 2*h**4 + h**4 + (-h + h - 3*h**3)*(-2*h + 11*h + h) - h**4 + 5*h**3 - 5*h**3.\nAnswer: -33*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*u + k, 3*u + k + 3*k - 14 = 0. What is the least common multiple of u and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -30\/11, 0.1 in decreasing order.\nAnswer: 0.1, 0, -1, -30\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**4\/24 + 50*t**3\/3 - 48*t**2. Let y(c) = -3*c. Give y(u(l)).\nAnswer: -3*l - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*z**2 + 0*z - 1\/6*z**4 + 1\/3*z**3.\nAnswer: -z**3*(z - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 3*f**2 + 8*f + 3. Let p(q) = -q**2 + q + 1. Let z = -147 - -146. Suppose 2*i + 12 = 4*i. Let b(k) = i*p(k) + z*h(k). What is b(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgg when three letters picked without replacement from xxsxszzbsgsg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = -0*z - z + 2*b, z + 3*b = -286. Let a = 659 + z. List the prime factors of a.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 38938*l**2 + 739100*l.\nAnswer: 2*l*(l - 19450)*(l - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, -8, 8\/221?\nAnswer: 8\/221","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2271.315 + -2271. Sort 2\/7, 0.5, n in decreasing order.\nAnswer: 0.5, n, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 2*d**5 - d**5 + 2*d**5 - 6*d**5 + 2*d**5 + (-4*d + d + d)*(3*d**4 + 2*d**4 - 3*d**4) - d**5 + d**5 + 2*d**5.\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 988 and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1807, 44, -38 in decreasing order.\nAnswer: 1807, 44, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/2)\/(-3*(-6)\/(-108060)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 100 (b) 0.3 (c) 0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-seven fifths of a meter?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21147.83 - -73.09904.\nAnswer: 21220.92904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.04 + 1. Let z = -725\/43282 - -3\/323. Let f = z + -65\/268. Put j, -0.1, f, 10 in ascending order.\nAnswer: f, -0.1, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86 + -0.467\nAnswer: -86.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559 = -34*u - 722 + 707 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2 - 142*k - 889. Give s(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -36 + 17 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, 9, -45?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -34*h**2 - 13\/140*h**5 - 2\/7*h**3 + 0 - 3\/14*h**4 - 1\/490*h**7 + 0*h - 3\/140*h**6. Factor q(m).\nAnswer: -3*(m + 1)**2*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 925680 and 1320.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 4 - 3*d)*(2 - 5 + 1 + (0 + 1 - 3)*(4 - 2 - 1))*(-143 + 69 - 95).\nAnswer: -2028*d - 2028","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**2 - w - 3. Let i(d) = -d - 267 - 8*d**3 + 7*d**3 - 4*d**2 - 270 + 535. Calculate 3*i(k) - 4*j(k).\nAnswer: -3*k**3 + k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1731 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5132 and 12?\nAnswer: 15396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/120 - p**4\/6 - p**3\/2 + 9*p**2. Let v(x) be the first derivative of i(x). What is v(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 0*o**3 + o**3)*(4*o - 3*o + o - 2 + 2 + o - 2*o + 3*o - 2*o + (4 - 3 - 3)*(-2*o - 3 + 3) - 3*o + 0*o + o - 2*o + 2 - 2).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-86*a + 43*a + 26*a)*(0 - 2 + 1)*(0*a + 2*a + 0*a + a + 2*a - 6*a + (1 + 0 + 0)*(a + 0*a + a)) in the form k*a + q*a**2 + x and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:35 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyygggeegggg. What is prob of sequence yeg?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4 + 6*n**3 - 6 + 3 - 4 wrt n?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 8 + 30*d + 4 - 29*d in the form k + b*d and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = 4*o + 4*f - 1, 2*f - 6 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 6*l - 3. Let j(r) = -20*r + 8 + 3*r - 2*r**2 - r**2. Let k(y) = 11*g(y) + 4*j(y). Factor k(q).\nAnswer: -(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 + (-5481)\/14490. Which is the third smallest value? (a) w (b) -3 (c) 2 (d) -0.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Let m(w) = 5*w - 4. Let d(u) = -m(u) + 4*t(u). Let r(s) = -2*s + 7. Let y = -12 - -5. Determine y*d(i) + 4*r(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 = -4*x + 9, -4*x - 5*w = 0. What is the remainder when 17 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2945*y + 715*y - 450*y = -647*y - 107996 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d + 1. What is the tens digit of q(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -3\/941, -4, -6\/5, -4\/7 in increasing order.\nAnswer: -4, -6\/5, -4\/7, -1\/4, -3\/941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 74219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 26. Let k be u(0). Let v be 88\/10*10\/4. Let a = k + v. Sort 8, 4, a in decreasing order.\nAnswer: 8, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -5*t + 73. Let k be -1 + -24 - (0 - -5) - -1. Let h = k + t. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 15 + 18 + 141*o + 173*o - 10.\nAnswer: 314*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/30 and -13\/384?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**4\/12 - h**3\/6 + 14*h**2. Let b be a(6). Suppose 0 = -3*d + 17 - b. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -331\/32 - -38989\/224. Let s be 2\/9 - (-5912)\/(-36). Let g = s + h. Is -0.3 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -1\/29, -325, 5, 0.4?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*g**2 + 20*g - 22*g + 125*g**2 in the form f + s*g + l*g**2 and give l.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -87. Let t = g + 40. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b. Let f(j) = -j**2 - 811. Calculate f(p(s)).\nAnswer: -9*s**2 - 811","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -41*s - 11. Let c(x) = -1. Let z(u) = 5*c(u) - k(u). Let t(w) = 21*w + 3. Let i(y) = -7*t(y) + 3*z(y). Does 18 divide i(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -964, 5, 3\/2, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19370056 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 933, -8, 3 in decreasing order.\nAnswer: 933, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 496938089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14\/13 (b) 1 (c) 11 (d) 2\/7 (e) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/2)\/(9\/(-21)*1309\/1122).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-930)\/5*(-9)\/2. Suppose s = -4*h - b + 3237, b - 3000 = -5*h. Round h to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 9 = -4*t, -4*w + 3 = t - 6. Put w, -3, 1\/2 in decreasing order.\nAnswer: w, 1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 11*m = 4977. Let z = 237 - m. Let q(d) = -d**2 + 9*d - 9. Let u be q(7). Solve -2*l - l - u = -s, -l + 2*s - 10 = z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**(-20\/9)*a\/a**(-1\/8)*a*a**(3\/8) assuming a is positive.\nAnswer: a**(95\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -455, -4, 47, 4, 3 in decreasing order.\nAnswer: 47, 19, 4, 3, -4, -455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -913\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 3*a - 47. Give s(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5 - 1104*l**4 + 9756*l**3 - 22674*l**2 + 20481*l - 6462.\nAnswer: 3*(l - 359)*(l - 6)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 22696.\nAnswer: 22696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 39*k**2 - 2*k - 2. Suppose -2 = -b + 3*b. What is the common denominator of q(b) and 22\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -343*t**3\/3 + 1274*t**2 - 4732*t + 17576\/3 = 0. Calculate t.\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/162 and -181\/90?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 45*r**2 + 24*r - 14. Let o be t(1). Solve o = 9*u + 82 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*297\/18*1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnvnnnnnnn. Give prob of sequence vn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m + 33. Suppose -1 + 177 = 8*x. Let h be u(x). Let s = h - -202. List the prime factors of s.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.133?\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*i - 167*i = -2*d + 398, -4 = i. Solve 191*b - 6 = d*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -10943?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9887 + 19)*6\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 4*i**2 + 4*i + 28. Calculate the remainder when b(5) is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5635 + 5635.1. What is the nearest to c in -3\/4, -0.2, -15\/19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*h - 13790 - 33503 = 334*h + 416 for h.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/390 and -187\/780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2074 + 889. Let m = 2114 + x. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppft when four letters picked without replacement from clsltlslpllfsfclccls.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1586 is divided by 462?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f. Let c(l) be the first derivative of 5*l**3 + 27. Calculate c(i(m)).\nAnswer: 135*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6445.\nAnswer: 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -46, -44, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52087820, 52087818, 52087830, 52087862, 52087920?\n\"Answer: w**3 + w**2 - 12*w + 52087830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 372. Suppose -3*w + z = -117. Does 26 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10}. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((20 - 17) + (-1 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -473\/28 - -113\/7. Let c be (-13)\/21 + (-52)\/(-39) - 1. What is the nearest to 17 in 0.2, -3\/2, c, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/15)\/(9590\/(-3425)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-6 + 7)) + 6 - (-49 - (3 - 12)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1 - (-222)\/(-106). Let r = f - -161\/583. Let g = -1 + 2. Which is the biggest value? (a) g (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192328935 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p. Let l(x) be the first derivative of -x**2\/2 + x + 275. Calculate 4*l(v) - y(v).\nAnswer: v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.079862 kilometers?\nAnswer: 2079862000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**2 - 5133*z + 20580 = 0 for z.\nAnswer: -1715, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*f**3 - f**2 + 0 + 1\/4*f**4 + 0*f = 0. What is f?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1381.53439031767 and -0.4.\nAnswer: 1381.13439031767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120.21 - -2.79. Let u = p + 12. Let l = u - 135.061. Round l to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -5*g - 38, 7 + 4 - 3 = 6*g - 5*i - 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*b**4 - 2\/7*b**3 - 2\/7*b**2 + 0*b + 0 + 2\/7*b**5.\nAnswer: 2*b**2*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2*b - 22 = 2*y, -2*y - 4*b = 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/7 and -109\/15174.\nAnswer: 106218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 518*j**3 + 515*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 plus -30?\nAnswer: -29.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 5 (c) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 3*f**3\/2 + 8*f**2 + 5*f. What is the first derivative of x(g) wrt g?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-4)*((-72)\/7)\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -1179*q**2\/2 + 2*q + 132. Let k = -5 - -3. Let p be m(k). What is p rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 24, 53, 102, 177, 284, 429?\n\"Answer: r**3 + r**2 + 5*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1004 + 495 + 3*y**2 + 483.\nAnswer: 3*y**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 6*p - 3. Let n be r(5). Suppose -3*o - a = -15, 3*o + n*a = -o + 20. Suppose 4*j - 32 = 20. Solve 4*m - o*d = -5 - 5, 3*m + j = d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -641 + 665. Solve 4*t + 5*x + 1 = 0, 4*x - q = 3*t - 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -338 - -2362\/7. What is the closest to 0 in g, 2\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2551574399 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2200, -5, 1 in decreasing order.\nAnswer: 1, -5, -2200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39880 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 25*v**2 - 17*v + 245. Calculate q(-26).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 5. Let d = 0.01 - 1.01. Which is the nearest to d? (a) 0.2 (b) f (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10402 and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**4\/12 - 2097*s. Let u(q) = 9*q**2 + 1 - 3*q + 5*q - 1. What is u(j(g))?\nAnswer: 9*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 212946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*c + 3, -4*c - 5 = o - 6*o. Let f(m) = 22*m - 18 + 18. List the prime factors of f(o).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 - 10.1. Let k = g + 18. Which is greater: k or -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 611*n + 5 - 5 - 211*n in the form d*n + b and give d.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 37966940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 7*n**2 + 2*n + 8. Let q be m(-8). Is 16 a factor of (346 - q)*(0 + 1\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 481924 and 73088?\nAnswer: 2284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 63. Let p = 68.4 + v. Which is smaller: p or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 12, 2*j = -2*w - 6. Suppose 3*n + 14 + 4 = j. Is 14 a factor of n\/2 - 102\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.17 - 0.17. Let u = 10 - a. Let d = u + 4.05. What is the biggest value in d, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*c - 1425, 4*j + c + 1890 = 8*j. What are the prime factors of j?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5181.0002024 - -5181. What is y rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 40?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -8 (c) 0.011 (d) -0.04 (e) 8 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3 + 3*u**2 - 18*u + 18*u. Let g(z) = -5*z**2 - z - 5. Suppose 0 = 5*v - v - 44. Let j(m) = v*h(m) + 6*g(m). Factor j(d).\nAnswer: 3*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136.1 - 141. Let d = -5.9 - k. Let z be 2 + 1 + -2 - 4. Which is the nearest to 0.1? (a) z (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2833?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 4*f + 182. Let p be a(11). Let d(w) = -7*w - 4. Let m be d(-3). Calculate the highest common factor of m and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*i, 5*c + 91*i = 96*i + 429990. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.92755mg in kilograms?\nAnswer: 0.00006392755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.16 + 6.84. Let y be (-12)\/(-10) - (-34)\/(-170). What is the closest to y in -0.5, t, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**7\/840 + g**6\/240 - 7*g**5\/240 - 5*g**4\/24 - g**3\/2 - 2395*g**2. Factor w(o).\nAnswer: (o - 3)*(o + 1)*(o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (246\/42 - 6)*3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**6\/360 - n**5\/20 - n**4\/8 - n**3\/6 + 3*n. Let c(b) be the second derivative of x(b). Calculate c(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539034 - -2?\nAnswer: -539032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15507 + 15507 + 5*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -348, -420, -532, -684, -876, -1108, -1380?\n\"Answer: -20*i**2 - 12*i - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -957, -955, -951, -945, -937?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -143429846, -143429851, -143429856, -143429861, -143429866, -143429871?\n\"Answer: -5*k - 143429841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-2*q**3 + q - q) - 2*q**3 + 0 + 0 - 8*q**3 + 0*q**3 - 5*q**3.\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*z**4 - 1477*z**3 + 2*z**2 + 73697*z + 3.\nAnswer: 84*z**2 - 8862*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - u - 7. Give i(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76811848 to the power of 1\/2, to the nearest integer?\nAnswer: 8764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 992511.7 weeks?\nAnswer: 600271076160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 + 452. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177992657659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100.4 * -0.66\nAnswer: -66.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + p - 4, 5*p = -2*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = -3. Suppose -o + 4*f + 2 = 0, -3 = 5*o - 4*f - 13. Let t = o - m. Solve 0 = 4*r - j + t, -r + 3*j = 2*r - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or -12050?\nAnswer: -12050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - 0.1. Let k = z + 0.5996. Round k to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44786 is divided by 146.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**3 + 2*p**2 + 3*p + 4. Let a(s) = 12*s**3 + 6*s**2 + 8*s + 11. Calculate -4*a(b) + 11*c(b).\nAnswer: -4*b**3 - 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3379703.\nAnswer: 367, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - 0) - (-7 + 267 + -214)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 12\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*y + 7*y. What is the nearest to y in -2, 2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -2, -145, 3 in increasing order.\nAnswer: -145, -2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9 = 3*i, 3*i - 6*i + 5*r - 21 = 0. Let c(j) = j - 1. Let f(u) be the second derivative of 4*u**3\/3 - 3*u**2 + 951*u. Give i*f(w) + 12*c(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/4*1769\/6100 and 81\/140.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**2 - 8*u - 18. Let d(w) = 5*w**2 + 6*w + 18. Determine -4*d(h) - 3*q(h).\nAnswer: -5*h**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(1\/(3\/6)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19172878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 220521?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -7*u + 28. Let t = 20 - u. Let g = t - 1. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28204 and 2674893?\nAnswer: 117695292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -0.57, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62736, -125728, -188984, -252504, -316288, -380336?\nAnswer: -444648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3847630 divided by -49.\nAnswer: -3847630\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 36 = 2*j. Let f(o) = j*o - 1 - 16*o - 9*o + 0. Give f(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 283 and 46129.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - t + 214, -2*t = 3*w + w - 170. Let i = w - 41. Suppose 4*k - 3*y = k, i*k + y = 0. Is 1 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1068)\/1246*((-35)\/(-10))\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -22. Let n = -24 - r. What is the nearest to -1 in 3, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*a - 5*x + 12, -2 = 2*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 = 164*x - 867 + 254 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-23)*u)\/u**1*u**13\/((u\/u**15)\/u))**29 assuming u is positive.\nAnswer: u**1508","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63790 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 951?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*b**2*x**3 + 2*b**2*x**2 - 43*b**2*x - 4*b*x**4 + x**4 + x**2 wrt x.\nAnswer: -204*b**2 - 96*b*x + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffpbtpppeztpb. Give prob of sequence tff.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1980 - 1970.93. Round g to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 45 + 20. Let i(v) be the second derivative of 2*v**3\/3 + v**2 + 19*v. Let y(h) = 6*h + 4 + h + 0*h. Give l*i(n) - 3*y(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3214*s + 24991. Determine r(-8).\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/5 and -4 - (-5)\/(-20)*-85.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 23 (c) 0.04 (d) 1\/2 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023.4018 rounded to 1 decimal place?\nAnswer: 2023.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -46958 <= -46993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l + 2 = 0. Let x be 65\/117 + (-6)\/(-27)*l. What is the closest to x in 4, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h + 10 = 0. Suppose -h = -4*g - 0*g - 5*s, 5*s - 15 = -5*g. Factor 2\/5*a + 2\/5*a**g + 12\/5*a**3 + 0 - 8\/5*a**2 - 8\/5*a**4.\nAnswer: 2*a*(a - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*v*y**3 + 15*v*y**2 - 6*y wrt y?\nAnswer: -228*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -14. Solve 5*o = 3*c - 17, 3*c = -r*c - 3*o - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 2:24 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 6 = 0, -3*z + 7*y - 43 = 14*y + 22*y + 80 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16127 is divided by 384?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7093011 micrometers?\nAnswer: 709.3011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t - 64*t + 188*t - 2*t + t + 0*t + 2*t + 0*t - 3*t - 18*t - 3*t + 6*t + (1 + 0 - 3)*(-4*t - t + 4*t) as p*t + j and give p.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/4 - 10*k. Let v(f) = -81*f. Let b(s) = -5*s. Let t = -19 + 52. Let c(l) = t*b(l) - 2*v(l). Determine d(c(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -316 - -225. Let o = w - -93.26. Let i = o - 0.26. Which is the smallest value? (a) 12 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72276\/7 - ((-25)\/((-175)\/36) - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 1111348.\nAnswer: 6668088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 - 644*w - 640 = 0 for w.\nAnswer: -160, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2. Let d be ((-2)\/(-4))\/(1\/2). Let m be d\/(-4) + 75\/12. Let b(y) = 2*y + m - 6. What is o(b(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = -1861 + 1834 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562113269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.42513515 rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 14. Let a be w(12). What is the third derivative of -5*q**2 + 5*q**2 - 3*q**a + 3*q**3 wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 8)*(-7 + -3)\/10. Let i = -11 + -4. Let g = -11 - i. Solve -g*v + a*f = 5, 3*v - f = -v - 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2, 1 = -d + 5*q - 0. Suppose 44 - 84 = -d*z. Solve -2*c = 2*m - c + 2, -2*m = 5*c + z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1072 or -1050\/37?\nAnswer: -1072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31437 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 496 - 489. Suppose -m*w + 8 - 15 = 0. Which is smaller: w or 0.19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7716.4, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1059*o**2 + 9258233 - 9258234 + o**3 - 5*o + 4*o to j*o**2 + l*o**3 + d + v*o and give j.\nAnswer: 1059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 107. Is 24 a factor of a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-2 + 3)) + 0. Let d = -243 + 1463\/6. Let s = 1\/3 - d. Which is the nearest to s? (a) w (b) -0.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/198*44\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4597\/88 - -576\/11. What is the closest to -2\/7 in -2\/7, 0.048, -1, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 200, 56\/209, -3?\nAnswer: 56\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/7 - 24*n\/7 - 20\/7.\nAnswer: -4*(n + 1)*(n + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 9:48 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25\/7 - -337\/14. Let l = 2643779\/12 + -220185. Let v = -428\/3 + l. Calculate the common denominator of v and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlt when three letters picked without replacement from {r: 8, t: 2, l: 9}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 40. Let t = s - -143. List the prime factors of t.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 4*l**7\/105 + l**4\/8 - l**2. Find the second derivative of u(i) wrt i.\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14719625 is divided by 1226635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 26 = -2*m, 0 = 4*m - 0*m - 4. Let l = 6 + p. Sort 1, l, 3.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58695330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10029976 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 339.2981724 to 2 decimal places.\nAnswer: 339.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 - 24*s**2 - 68*s + 630. Calculate u(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 232?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 4*y - 4. Let x be r(3). Let a(f) = -f**2 - 9*f - 10. Let q be a(x). Suppose 3 = 3*d, q*b - 2*d = 2*d + 32. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 3*y - 3*y + (-y - 1 + 1)*(2*y + 2 - 2) - 16*y**2 + y + 40*y**2 - 7*y**2.\nAnswer: 16*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12163.2193 rounded to zero dps?\nAnswer: 12163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 116, 179, 258, 359, 488, 651?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2e6742 (base 15) to base 4\nAnswer: 20211022223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 154979, -45 in increasing order.\nAnswer: -45, -0.01, 154979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -18. Solve c = -l, -2*l + 3*c + p + 0 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 2*g + 7. Let x be r(-3). Solve 0 = -x*c - 10 + 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(3 + 0 + -5). Suppose p*v - 3*v = -15. Suppose 0 = a - v*a - 4*u + 468, 353 = 3*a + u. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76279517?\nAnswer: 76279517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 2*j**3\/3 - 2*j + 7. Let o be 8\/5 + (-2)\/(-5). List the prime factors of t(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 5*y - 4. Let t be b(-3). Suppose 4 = z + t*p, 3*z + 5*p - 6 = 5. Calculate the common denominator of z\/11 - ((-5285)\/(-330) - -4) and 63\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (439 - 350) + -179 + 3.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.084 (b) -1\/5 (c) 4 (d) 1\/91 (e) 0.05 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*l - 10 = 0, 4*k + 0*k + 4*l - 40 = 0. Suppose -3*j = -k*c, 0 = j - 3*j. Solve -2*h - 13 + 3 = c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46916 is divided by 447?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/23, -0.2, 28\/11 in increasing order.\nAnswer: -0.2, 1\/23, 28\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1.1 (b) -0.2 (c) 0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 225727 - 112916 - 112811.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119023*n + 3928 - 4*n**2 - 59511*n - 3928 - 59512*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/14)\/(6\/14). Let y = 91\/69 - -1\/69. Factor y*u - s*u**2 + 0.\nAnswer: -2*u*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o + q - 5, 0 = o - q - 5. Find the second derivative of -1020*m**2 - 13*m - 12*m + 992*m**o wrt m.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q - 5. Let j(d) = 5*d - 4. Let r be 42\/8 - 5\/20. Let h(p) = r*j(p) - 4*s(p). Calculate h(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (4 + -2 + -5 + (-9 - -18))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*m - 311*m = 103. What is the second derivative of 166*d + 14903*d**3 + m*d**4 + 2*d**5 - 14903*d**3 wrt d?\nAnswer: 40*d**3 + 1236*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946 is divided by 186?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -206683, -413985, -621287?\n\"Answer: -207302*r + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/(-216))\/(20\/(-105))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1139.\nAnswer: -455.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -106, -98, -80, -46, 10, 94, 212?\n\"Answer: j**3 - j**2 + 4*j - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 3*o**2 + 3*o. Let w = 5 - 3. Let i be 1\/w - (-3)\/2. Is x(i) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-211365)\/36*6\/(-25). Let n = 1411 - t. Let d = -8232 + 131653\/16. Calculate the common denominator of n and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8)\/(-5))\/(458\/50) and 12 + -14 + 442\/(-51)?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**3 - o**2 - 5*o - 13. Let i(u) = u**3 - u**2 + u + 1. Let p(x) = 6*i(x) + m(x). What is p(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) - (2 + sqrt(2299)))*-3 - sqrt(2299))*6 - (-3 + (sqrt(19) + (sqrt(171) - (sqrt(171) + -1 + sqrt(171))) - sqrt(57)\/(sqrt(3)*-3))))**2.\nAnswer: -14668*sqrt(19)\/3 + 720727\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 (base 7) in base 14?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3375*f**2 + 0*f**3 + 1711*f**2 - 3*f**3 - f**3 + 1664*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1761 divided by -3.\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**3 - 3477*i**2 + 2*i - 270080 wrt i?\nAnswer: -9*i**2 - 6954*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 262 + 274. What is the lowest common multiple of 7 - ((-8 - k) + 1) and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -6403269\nAnswer: -2\/6403269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 - 58*y**2 + 13*y**3 + 55*y**2 + y**4 - 3*y**3 in the form c + a*y**3 + s*y**4 + t*y + h*y**2 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-114)\/(-4)*240\/(-9). Let c be l\/(-6) - 18\/(-54). Suppose -4*t - 3 + c = 0. Calculate the remainder when t is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, n: 1, y: 4, x: 2, h: 4, k: 2}. What is prob of picking 1 x, 1 y, and 2 k?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + 0.85. Let x = -0.1500039 + l. Round x to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144012, 576041, 1296092, 2304165, 3600260, 5184377?\nAnswer: 7056516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + r**2 + 1 + (3 + 2*r**2 - 3)*(-4 - 2 + 5) - 5*r**2 + 6*r**2 + 0*r**2 + 4 - 6*r**2 - 4 + 0*r**2 + 0*r**2 - 2*r**2.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a factor of 34129998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*h**3 - 4*h - 628?\nAnswer: -12*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1067417846, -2134835693, -3202253540?\nAnswer: -4269671387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 14*u + 4. Let w(n) = -7*n**2 - 54*n - 17. Determine -9*d(i) - 2*w(i).\nAnswer: -4*i**2 - 18*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = 7*b - 512. Suppose 4*o + 96 = 3*o. Let n be 7\/(3 - (-285)\/o). What is the greatest common factor of b and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 370102, 370150, 370198, 370246, 370294, 370342?\n\"Answer: 48*l + 370054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.5 + 0. Let s = 0.5 + y. Let l = s + 5.9975. Round l to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -651*w - 659*w + 1309*w. Let y(c) = -109*c**2. Give x(y(l)).\nAnswer: 109*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2708 - 2704. Let x(r) be the third derivative of 1\/270*r**5 + 0 + 0*r + 13*r**2 - 1\/36*r**a + 0*r**3. Factor x(b).\nAnswer: 2*b*(b - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 11. Let p = f + -4. Is 2 a factor of (-21)\/p*2\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 55*x**5 - 680*x**3 + 2080*x**2 + 562*x - 570*x - 320 - 17*x**4 - 1352*x - 83*x**4 = 0?\nAnswer: -4, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 46, 96, 202, 376, 630, 976?\nAnswer: 1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*x = -106, -5*r + 2*x - 34 = -3*r. Let t = -33 - r. Let m = -6 - t. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 38. Suppose 5*l - 5*w = l - 63, z*l - 4*w = -36. Let g be (1 + 9\/l)*22. Is g at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 7 = -4, -9791 = -5*g - 3*n. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5 - 105*c**3 - 5*c - 4*c + 9*c - 15*c**2 wrt c?\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6 - 17 - j + 1 + 7 + 4. Let p(d) = -8*d**2 + d - 1. Give 2*g(t) + 2*p(t).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12427697, 12427695, 12427693, 12427691?\nAnswer: 12427689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 136?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - i - i**5 + (0*i**2 - i**2 + 2*i**2)*(-2*i**3 + i**3 - i**3) - i**5 - 3*i**5 + 3*i**5 + (2*i**2 + 4*i**2 - 4*i**2)*(-22*i - 19*i + 39*i + 16*i**3).\nAnswer: 28*i**5 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 399 (b) 0 (c) 1\/8 (d) -4 (e) -2\/3 (f) -28 (g) 13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1 - 4 + 20*y - 9. Let o(x) be the second derivative of -4*x**3\/3 + 5*x**2\/2 + 3*x - 141. Determine 5*a(h) + 12*o(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/27*3\/2. Is (-123536)\/(-84) + x\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6365?\nAnswer: 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*f + (2 - 1 - 3)*(-3*f + 4*f - 2*f) - 4*f + f + 5*f)*((3 + 3 + 6)*(0 - 4 + 2) - 7 + 16 + 12).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6271*m*v**2 - 1078860*m*v - 328*v**2 - 4*v wrt v?\nAnswer: 12542*m - 656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from ssssususuwsssussu.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.36 + -0.06. Let d(r) = -r**2 - 4*r - 3. Let f be d(-2). Let k = 17197 - 17195. What is the closest to -1\/4 in s, f, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - (-65)\/(-13)) + 2\/(-1). Let o be s*1 + (-10 + 4 - -12). Solve -o*k = 7 + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 1101312512?\nAnswer: -1101312522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 6 = -11*v. Suppose 0 = v*u - h - 2 - 101, -3*u + 187 = 5*h. Calculate the greatest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -347, 23, -4 in decreasing order.\nAnswer: 23, 5, 4, -4, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 5*p - 3. Let z be m(-6). Let a(j) = j**3 - 2*j**2 + 7*j. Let t be a(z). What is the highest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380 = 13*h + 198 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.062.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-66))\/(95\/76). What is the nearest to 0.1 in -3, -0.5, n, 1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -295 + -129. Let z = -859 - i. Is 1 - (-3 + z\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + 5 + -3 + 0 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1 = 4*j, -2*c - 6*j = -j - 26. Let q(w) = w + 7. Let f be q(c). Solve 4*k + 2 = -f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 4:17 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i**2 - 3*i**2 + 0*i**2 + 2*i to x*i**2 + v + m*i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -223, -458, -703, -964, -1247?\n\"Answer: -b**3 + b**2 - 231*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 710856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 832?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30 - f**5 + 30 - 2*f**4 + 1 - 4*f**5 - 1 + (f**5 - f**3 + f**3)*(1 + 2 - 4).\nAnswer: -6*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -71*j**2. Let u(z) = 5*z - 4. Let n(c) = -6*c + 5. Let y(s) = -4*n(s) - 5*u(s). What is y(t(o))?\nAnswer: 71*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**6\/120 - t**5\/60 + t**4\/24 - t**3\/6 - t**2. Let g be y(3). What is the highest common divisor of 100 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -758 by -2529.\nAnswer: 758\/2529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -4)*(13113\/5358 + 10\/(-4)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-1125)*(-15)\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 28*p + 35. Suppose -c = c - 8. Let f = 16 - c. What is the remainder when f is divided by b(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) -1.3 (b) -2 (c) 1\/2 (d) 2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3150 and 350.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447*p - 455*p - 8 = 0. Sort 4, -5, -118, p in descending order.\nAnswer: 4, p, -5, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3 - 2\/6*(-5706)\/634.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-14)*(-4)\/10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.6 - -2.6. Let x = d + 14. Let z = x - 3.9. Sort -2\/7, 3\/5, z.\nAnswer: -2\/7, z, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**8\/840 - 8*d**7\/175 + 17*d**6\/50 - 68*d**5\/75 + 19*d**4\/20 - 68*d**2 - 3*d. Let u(m) = 0. Calculate m.\nAnswer: 0, 1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22 - 22*f - 128 + 72 wrt f.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/27)\/((-4)\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 324059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -22, -85, -214, -433, -766, -1237, -1870?\n\"Answer: -4*n**3 + 3*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 0*v = 0. Suppose 7*y - 26 - 1465 = v. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6310 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 211*p + 58*p + 6*p in the form a + r*p and give r.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 165132*a - 6817144356.\nAnswer: -(a + 82566)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - 29)\/((-2)\/34) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**1*z))**2\/((z\/z**(-1\/3)*z)\/(((z**5*z)\/z*z)\/z)) assuming z is positive.\nAnswer: z**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 4. Let t be h(2). Let r(p) = -p**2 + 9*p + 6. What are the prime factors of r(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + 2*(2*sqrt(50) - sqrt(50)) - ((sqrt(450) - (sqrt(450) + 1)) + -3)**2).\nAnswer: -60*sqrt(2) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -101\/3. Let h = 13271 - 13276. What is the second biggest value in h, 0.5, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -39, 7 in descending order.\nAnswer: 7, 2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w - 42. Let t be s(12). Suppose 5*h + 3 = t. What is the highest common divisor of 6 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111.9 - 1112350264\nAnswer: -1112350375.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4217, -1490, 3063, 9448, 17671, 27738?\nAnswer: 39655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 5*d**2 - 2*d + 2. Let k be o(4). Let x = 47 - k. Which is the biggest value? (a) -1 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/729144 and -67\/159900?\nAnswer: 18228600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**5\/4 + 51*w**4 - 2745*w**3\/4 + 5325*w**2\/2 - 3000*w = 0.\nAnswer: -80, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**9\/126 + c**5\/60 - c**2 + 4*c. Let y(x) be the first derivative of l(x). What is the third derivative of y(d) wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o - 5*o**4 - 15*o**2 + 14*o**2 + o**3 + 2 - 6*o as n*o**3 + j + c*o**2 + a*o**4 + z*o and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -157, 2\/5, -3, -0.3, -6\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 11:34 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y = -30*y + 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-2)*4\/(-6). Suppose -3*j + s + 8 = 0, b*j - 5*s = -s + 18. Let a be (-10)\/(-4)*j*1. Solve 3*o - u - 11 = -0*u, 5*o + 3*u = -a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 8*w + 13. Suppose -35*f = -33*f - 8. Suppose -3*a + 33 = -2*d, a = 3*d - 0 + f. Calculate the remainder when a is divided by i(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -84. Put -1, 4, 0, y in decreasing order.\nAnswer: 4, y, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4638 = -2*v + 4*f, 179*v = 176*v + 3*f + 6951. Which is smaller: v or 2314?\nAnswer: 2314","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*j - 2*j - 9 = 0, 2*x + 4 = 2*j. Suppose 8 = m + x. Calculate the greatest common factor of 63 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**4 - n**3 - 2*n + 1. Let z(i) = 1211*i**4 - 4*i**3 - 6*i**2 - 7*i + 37. Let u(q) = -4*d(q) + z(q). What is the third derivative of u(x) wrt x?\nAnswer: 28968*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.30873767 + 3.9087371. Let x = 0.6 - z. Round x to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(528) - (sqrt(528) + (-1*sqrt(528) - sqrt(528) - sqrt(528)))*-1))\/(sqrt(72)\/(sqrt(6)*-1*5)))**2.\nAnswer: 27500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -387*m**2 - 5*m - 16*m - 11*m - 13*m + 44*m in the form y*m**2 + j*m + u and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 2*l - 6 = 0, 11*k + 9 = 16*k - 3*l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 392*b**3 + 3*b**2*s**2 - 5*b*v - 8*s**2*v + 98*s**2 - 2*s*v + 7*s + 2*v with respect to b.\nAnswer: 1176*b**2 + 6*b*s**2 - 5*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 236 and 7551517?\nAnswer: 1782158012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 343, 1465, 3329, 5929, 9259?\n\"Answer: -s**3 + 377*s**2 - 2*s - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvvv when four letters picked without replacement from {v: 3, x: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1727 = -2*h + 5*z + 1721, 2*h + 6 = -z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/72 and 55\/468.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 528 + 492. Let p = -3 - -3. Suppose p = -n - 0*n + 5. Solve -2*b - 4*k = 10, -3*b - u*k - n = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 8*b**2 - 7*b - 7. Let x be c(7). Let j(l) = l**3 + 7*l**2 + l + 1. Determine j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -173*w**3 - 7*w**2 - 170*w + 2. Let p(o) = -174*o**3 - 5*o**2 - 171*o + 1. Let l(m) = 3*p(m) - 2*q(m). Find the second derivative of l(s) wrt s.\nAnswer: -1056*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 - 3118*z\/5 + 3116\/5.\nAnswer: 2*(z - 1558)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 3*o**2 + o + 1. Let b be y(-2). Suppose 0 = 3*x - x - 5*q - 13, 0 = -3*q - b. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*w + 436*w - 2*w**3 - 876*w - 23*w**3.\nAnswer: -25*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15\/(-20) - (9 - 2162830\/40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*d + 1)*(5*d + d + 4*d)*(2 - 2 + 2).\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 4*j + 3573*j**3 - 4 + 2*j + 12 - 3581*j**3 to the form l + r*j**3 + a*j + v*j**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 4582*a + 498160.\nAnswer: -2*(a - 2395)*(a + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 divided by 207?\nAnswer: -24\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**3 + 2*w**2 - 4*w + 4. Let b(y) = 5*y**3 + 2*y**2 - 4*y + 4. Let a(o) = 5*b(o) - 6*l(o). List the prime factors of a(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -726.818 to the nearest integer.\nAnswer: -727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 1. Let f(z) = -3*z - 9. Let d be f(-2). Give o(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 51. Let x(r) = 10*r**2 - 4. Is x(f) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -37*v**2. Let s(n) = -138720*n. Determine k(s(b)).\nAnswer: -711999820800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70 - 1) + (-718 - -748) + (0 + 0 - 8).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1644?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, p: 2}. What is prob of sequence pmm?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -4*j + 0 + 0*j**2 + 0*j**3 + 1\/72*j**4 - 1\/120*j**5. Factor t(f).\nAnswer: -f**2*(f - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2))**(-1\/5)*((h**(-2\/3)\/h*h)\/h)**(-18))\/((h*h**(-2\/7))**44)**(-12) assuming h is positive.\nAnswer: h**(28493\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*(-2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 15*f - 2168. Calculate the highest common factor of f and 1840.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 2*m)*(-3 - 3 + 2) + 19 - 19 - 28*m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814345377?\nAnswer: 3, 19, 14286761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**5\/30 + 15*v**2. Let b(g) = 27*g. Give s(b(q)).\nAnswer: -1458*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x + 37*x - 3*x)*(4 + 1 - 4).\nAnswer: 44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -721 + -35243?\nAnswer: -35964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 3, 2\/37, 1?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bcbb33c + -3?\nAnswer: bcbb339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 2465.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, i: 3, t: 1, w: 2, z: 1, l: 4}. What is prob of picking 2 w and 1 l?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22325 times -0.9491?\nAnswer: 21188.6575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/12 + 1 + 1. Let k be 10\/(-14) - 8\/28. What is the nearest to 1 in k, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*c - c - 8 = 0, -3*b + 3*c + 18 = 0. Solve -1 - 1 = -3*w + 2*o, b*w + 3*o + 3 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4523859793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p. Let m(s) = -s - 1. Let n(z) = z**2 - 6*z - 6. Let q(d) = -6*m(d) + n(d). Give a(q(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = 13*l, 0 - 15 = -5*w - 4*l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*1\/(-3) - -10. Suppose -2*m + 5*a = o, -4*a = -m - 2*a - 3. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 30753757\nAnswer: -5\/30753757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, -6301, -0.3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 289*y**8\/168 - y**7\/210 - y**6\/120 - y**5\/60 - 1653*y**4\/8 - 2*y**2 - 206*y + 1. What is the third derivative of f(d) wrt d?\nAnswer: 34680*d**2 - 24*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-32)*(-4)\/16. Let d = -4 - -3.7. What is the closest to y in -1\/3, d, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i + 16. Suppose 4*b - 2*t - 6 = 2, -2*b = -3*t + 4. Suppose 30 = 4*s - 6*a, -3*a + 8 = -7. Solve -5*g - s = -b*q, -5*q - 6 = i*g - 2*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*f + 17*f + 55*f**2 + 101*f**2 to the form r + p*f**2 + k*f and give p.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43*w**3 - w**2 - 50*w - 54150 wrt w.\nAnswer: -129*w**2 - 2*w - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 44*k**3 + 54688 - 54689 + 4*k.\nAnswer: 44*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2838 divide 41275872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21891.08 litres?\nAnswer: 21891080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*f + 18, -3*f = 2*f - 20. Suppose -a + x + 18 = 0. Let b = a + -13. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -37. Sort 1, y, -3.\nAnswer: -3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15206899*w + 7603454*w + 7603443*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 275580 and 120.\nAnswer: 551160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) + 47\/(-9). Let q(y) be the third derivative of y**5\/60 + y**4\/8 - y**3\/6 - 2*y**2 - 4. What is the units digit of q(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/7 - 12212*i\/7 - 24312.\nAnswer: -4*(i + 14)*(i + 3039)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30398*m + 52642?\nAnswer: -30398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 + -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Suppose -45*r = -39*r + 30. Let o(m) = -2*m**2 + 4*m + 8. Let h(k) = -1. Let a(i) = -i - 4. Let g(j) = -a(j) + 3*h(j). Determine r*g(y) + s*o(y).\nAnswer: -2*y**2 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -258, -1983, -6646, -15717, -30666?\n\"Answer: -245*x**3 + x**2 - 13*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/810*51\/34.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494795444.\nAnswer: 2, 11, 13, 197, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42, -134, -334, -690, -1250?\n\"Answer: -8*l**3 - 6*l**2 - 18*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**2. Let m(l) = -l**3 - 4*l**2 - 11*l - 44. Let u be m(-6). Let f(b) = 195*b - 93*b - u*b. What is z(f(c))?\nAnswer: -384*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4168 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*t - 3*t - 604800. Round t to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 10 + 4 - l + (-53 - 27 - 29)*(-4*l + l + l) + 2 - 2*l - 2.\nAnswer: 215*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1106 - -153732\/139. What is the third smallest value in 4\/3, -1\/5, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -151*j - 8. Let z be q(-8). Suppose 0 = 5*w + d - 5 - 3, 3*w = 3*d + 12. Suppose w*s - 7*s + z = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from rjalt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(-4 + 1 + 1)*(-3*p**2 - 3*p + 3*p + (6*p - 4*p - 4*p)*(p - 2*p - p) + 2*p**2 + 0*p**2 - p**2).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 u when four letters picked without replacement from {v: 2, m: 4, k: 4, j: 6, u: 1, e: 1}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4686 (base 15) to base 5.\nAnswer: -434401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*q - 2*q + 44 = 0, 4*i - 5*q + 41 = 0. Let w(l) = -l**2 - 4*l + 7. Let h be w(-5). Sort i, h, -2, 0 in decreasing order.\nAnswer: h, 0, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-24)*(-7)\/(28\/5184). Calculate the highest common factor of s and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1035, 1071, 1107?\n\"Answer: 36*l + 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 - 3*r**3 + 7*r**4 + r**3 - 1 to o + b*r + x*r**3 + f*r**4 + p*r**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 91*x**2 + 45*x**3 - x**2 + 194*x**3 - 4*x**3 + 25*x**4.\nAnswer: 5*x**2*(x + 9)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/34537518 and 19\/1068.\nAnswer: 69075036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4078*h**3 - 8098*h**3 + 4018*h**3 + 132*h.\nAnswer: -2*h**3 + 132*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 128 - 23 = 0. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 24, 53, 94, 147, 212?\n\"Answer: 6*c**2 - c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 974704000 to the nearest 1000000.\nAnswer: 975000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1678 divide 3280490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2 - 10 - 3*h**3 + 6*h**2 + 10*h + 2*h**3. What is the remainder when o(7) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1281 in 5, -0.1, 52?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Suppose 6*m = 3*m - 12. Let q(d) = -1 - 2*d + 0*d - 4. Let l be q(m). Let x(o) = 4*o. Give l*x(a) - 5*j(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:51 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-24)\/16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 - 3.3. Which is the smallest value? (a) s (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*q = 14833 + 637 + 11010 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 10*n**2. Let w be l(10). Let o = 5 - 3. Let s be (-21)\/7*(-15)\/9. Sort w, s, o.\nAnswer: w, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(24)\/sqrt(3)*1).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 454?\nAnswer: 1\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7\/4, -5\/3, 2379, 4?\nAnswer: 2379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t + 3*t - 95 = 0. Suppose o - 4 = -u + 2, 5*o - t*u = -20. Which is smaller: 9\/10 or o?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 5007600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 1:43 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-10) + (-696)\/(-20). Suppose n = 2*v + 5*v. Calculate the remainder when 15 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913676074.\nAnswer: 2, 456838037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 9*h + 19865 = 4*h, 5*h - 3985 = g. Let x = 7060 + g. Suppose 2*o - x = -3*b, o - 436 - 1104 = b. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 6*w**2 - 3*w + 8. Suppose 0*h + 38 = 3*h - 5*o, 4*h + 4*o - 8 = 0. Calculate t(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 + 2.4. Let l = b - -1. Let z be ((-84)\/(-16))\/7*-4. What is the biggest value in l, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1228 + 2*j**2 - 5*j**2 - 1411.\nAnswer: -3*j**2 - 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/7*b**2 - 2\/7*b**4 + 0*b + 0 + 8\/7*b**3.\nAnswer: -2*b**2*(b - 5)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 2:05 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**24\/k**(8\/3))\/((k**31*k)\/k**(-1\/16)) assuming k is positive.\nAnswer: k**(-515\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**5\/20 + y**4\/6 - 5*y**3\/6 + y**2\/2 + y - 14. Let t be h(-4). Let i(w) = 2*w + 23. Determine i(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16047690 smaller than 16047690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 3*h**2 + 4*h**2)*(-3*h**2 - h**2 + 5*h**2) - 2*h**4 + 2*h**4 - 4*h**4 + (2*h**2 - h**2 + 0*h**2)*(3*h**2 + 2*h**2 - 4*h**2).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 87, 226, 437, 726, 1099, 1562, 2121?\nAnswer: 2782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -406.\nAnswer: 1\/406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 - -8 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -42. Let d = 1 + 3. Suppose 0 = 2*u - 0*w - 3*w - 6, -d*w = 3*u - 43. Calculate the remainder when h is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -44*j - 1. Determine x(1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 13 = 0. Let d = m - 9. Suppose -f - k + 1 = -d, 0 = -5*f - 2*k + 13. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-1)\/1*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*(y**10\/y)\/y)*y**(-14) assuming y is positive.\nAnswer: y**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 1370*x - 103*x**4 - 105*x**3 - 247*x**3 + 358*x + 1728 + 35*x**4 - 288*x**2 - 4*x**5 = 0. Calculate x.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 1\/10 (c) -236 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Let w(a) = 0*a**2 - n*a**2 - a**2. Let c(s) be the first derivative of s**2 + 1383. Calculate w(c(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c + 27*c - 8*c + 0*c as s*c + w and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1355 (base 9) to base 2\nAnswer: -1111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1850518098.\nAnswer: 2, 3, 11, 13, 65357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*g - 848 + 848)*(2*g - 4*g + 0*g) - 36*g - 12*g + 9*g - 7*g**2 to the form o*g + d*g**2 + a and give d.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a decade?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*p - 224 = -0*g, -5*g - 2*p = 1120. Let q = g + 418. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, -2\/21, 27, -3, 2\/3 in increasing order.\nAnswer: -3, -2\/21, -1\/13, 2\/3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 658898 and 134174?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4459372 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*sqrt(171) + 5.\nAnswer: 8 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3196037 days?\nAnswer: 27613759680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:55 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 12\/1613?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 22 = 4*d, -2*l = -5*d + 10 - 29. Let i be d*(1\/4 + 29\/(-100)). Let f = 16\/75 + i. Which is the closest to -0.1? (a) 0 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 26 = 2*g, c = -g - 0 + 1. Let o be (-8)\/(-36) + (-2)\/9. Put o, g, -2 in decreasing order.\nAnswer: g, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/10 + 7 + 104\/(-16). Put 4, -9\/5, z in descending order.\nAnswer: 4, z, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316777?\nAnswer: 316777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40803113\/1355 - 30113. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from {x: 1, t: 4, o: 1, f: 5, c: 1, l: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-12) - (-12)\/16. Is n < 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + sqrt(128) + -2 + (2*sqrt(128) - sqrt(128)))**2.\nAnswer: -96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 48\/(-9))\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30142?\nAnswer: 2, 7, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 20. Let y = 6 + n. Which is the second biggest value? (a) -3 (b) y (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 736, 736, 744, 766, 808, 876?\n\"Answer: u**3 - 2*u**2 - u + 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 + 5*v**2 - 2*v - 2. Let i(y) = -2*y**3 - 6*y**2 + 2*y + 3. Let r(u) = -4*i(u) - 5*z(u). What is r(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00203190511 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b - 6*b + 3*b**4 + b**4 + 2*b**4 - 2*b**4 + (0 + 2 + 0)*(-3*b**2 + 2*b**4 + 3*b**2).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyygggg. Give prob of picking 4 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {a: 1, r: 7, u: 5}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3228*0.008.\nAnswer: -0.0025824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30 + 14*m**3 + 9*m**3 - 6*m**3 + 0 wrt m?\nAnswer: 51*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28540.\nAnswer: 2, 5, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**3 + 8*f**2 + 8*f - 8. Let o(g) = -g**3 + g**2 + g - 1. What is i(h) - 8*o(h)?\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 110*j + 12*j**2 - 13*j**2 - 8*j**2 - 16*j**2 + 20*j**2 - 105 = 0?\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 65 and 65 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Suppose y + b - 1 = 0. Let k(v) be the first derivative of -v**3\/3 + 3*v + 1. Let l(p) = 3*p**2 - 7. Determine y*l(x) - 7*k(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340 + 3041 + 1119 = 225*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -527*l**2 + 204*l - 102. Let z(m) = m**2 - 2*m + 1. Calculate i(a) + 102*z(a).\nAnswer: -425*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*1 + 6 + 21. Let b be (6\/4)\/(6\/16). Suppose b*t = 10 + c. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-662 - 1394 - 1106 - 981 + 1152)*(-4 + 4 - 7*q**2).\nAnswer: 20937*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 + 138558*r - 1385480 = 0. Calculate r.\nAnswer: 10, 138548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -258 + 268.6. Let q = w + -5.6. Which is the nearest to 11? (a) -1\/3 (b) q (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25058 is divided by 72.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -22839 < -22838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 82. Let s be ((-6)\/10)\/(o\/(-50)). Suppose -282 = -2*w + 3*u, s*w - 2*u - 136 = 148. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, z: 1, d: 3, x: 2, g: 2, v: 3}. What is prob of picking 1 d and 1 g?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -248, -242, -226, -194, -140, -58?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 20 - (1 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/42)\/((-4)\/14). Factor 2*k**4 - 8*k**3 + 5*k + 7*k - 4*k + 2*k**j - 4.\nAnswer: 4*(k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -7. Suppose y*a + p - 97 = 2*a, -a + 48 = p. Calculate the greatest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130996?\nAnswer: 2, 32749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*g - 173*g - 106 - 17961*g**2.\nAnswer: -17961*g**2 - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -412.78 at least as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3515976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*z**2 - 74*z**2 + 245*z**3 - 464*z + 182*z**3 + 36*z**2 wrt z?\nAnswer: 2562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3600622121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**2 - h + 1. Let i(r) = 2610*r**2 + 13*r - 14. Determine -2*i(g) - 26*t(g).\nAnswer: -5038*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13980, 27606, 41228, 54846, 68460?\n\"Answer: -2*f**2 + 13632*f + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (205*g - 124*g + 193*g + 400*g + 222*g)*(5 - 2 - 1 + 1 - 4 + 1 + (-3 - 2 + 7)*(-2 + 1 - 1) - 4 + 0 - 1) in the form o*g + t and give o.\nAnswer: -8064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185601.\nAnswer: 3, 13, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from {i: 1, z: 4, o: 2, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*n - 58*n + 327240. List the prime factors of n.\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3431846556 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q**2 - 2*q**2 - 2*q**2 - q**2 + 4*q**2 - 2*q**2 + (q - 3*q + 4*q)*(4*q - q - 4*q))*(-14*q - 127*q + 68*q).\nAnswer: -146*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, -54, 22 in ascending order.\nAnswer: -54, 22, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101 or 199\/2?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k = 299 - 234. Solve p - 4*y - 8 - 8 = 0, 3*p = k*y + 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233313.\nAnswer: 3, 83, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -43e706 + 4?\nAnswer: -43e702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1316*b + 1313*b - 2613*b + b**2 + 1 + (b + 2*b - b)*(-5*b + 4*b + 2*b) to the form o*b + j*b**2 + y and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213142, -426294, -639446?\nAnswer: -852598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 - 351*z + 721*z - 370*z. Let a(m) = -12*m**2 - 58. Give a(k(u)).\nAnswer: -108*u**4 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**9\/5040 + c**7\/2520 + c**4\/6 - 4*c. Let v(m) be the third derivative of r(m). Find the third derivative of v(o) wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjwqjhqhwwhwj. What is prob of picking 1 w and 1 h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6345208, -6345232, -6345256, -6345280, -6345304, -6345328?\nAnswer: -6345352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 3, 7, 13, 21?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n + 3. Let l be 12800*n - (1 + -1). Round l to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g = 4*l - 1376, -g + 685 = -l. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 4. Let s(a) = 5*a**2 + 2*a - 173. What is 6*c(t) + s(t)?\nAnswer: -t**2 + 2*t - 197","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 0.4 (b) -2\/7 (c) 5\/6 (d) 6 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mclsi. Give prob of sequence mic.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**3\/3 + 4*w**2 + 6*w + 2. Let h be a(9). Let s = -1 - h. Is s < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*w + 4. Suppose 0*a + 8 = -w*a, -88 = -5*d - 3*a. Calculate the highest common factor of d and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4949143078139 take away 2?\nAnswer: -4949143078141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/14 - 22\/(-77))\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 1, 2, -2, 5924200.\nAnswer: -3, -2, 1, 2, 5, 5924200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2 - (-21)\/(-11)). Suppose -4*p + 5*m = -g, m + 5 = -p - p. Which is bigger: 2\/9 or p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 26*s + 51. Let z be (-24)\/((-9)\/(-11) + (-6)\/(-33)). Let j be r(z). Solve -j*v = -5*t + v - 25, v + 15 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, -4, 10, -1772 in decreasing order.\nAnswer: 10, 8, -4, -5, -1772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x**2 + 2*x - 5. Suppose 46*h = 149 - 90 + 171. Let t(u) = u**2 + u + 1. What is h*t(f) + r(f)?\nAnswer: -2*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (188\/658)\/((-8)\/(-14) + (0 - -1))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -45. Suppose 24 = 5*o - v - 0*v, -5*v = 4*o + j. Suppose 2*w - w - o*h = 30, w + 3*h = -5. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*b = 7, -39*b + 34*b - 22 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1293*l**3*n*v - 53*l**3*n - 197*l**3*v*x - 45*l**2*n + l*n + 2*l*x + 13*n*x + v - 4 with respect to v.\nAnswer: -1293*l**3*n - 197*l**3*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/2)\/(9\/(-96)). Suppose -67*c + 12 = -v*c. Solve -2*i - 3*a + 13 = c, 0 = 3*i - 5*a + 34 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*n**2 + 138*n**2 - 53*n**2 - 44*n**2 - 3 - 491*n in the form u*n + g*n**2 + d and give u.\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94332 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)\/g*g**(-5))**(3\/28)*(g\/((g*g\/(g*g**2)*g)\/g)*g\/((g*g\/(g\/(g*g\/(g\/g**(-2)))))\/g))**(-36) assuming g is positive.\nAnswer: g**(-16203\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*x - 34 = 351, 5*x + 154 = 2*i. Let u be 371\/i + (-2)\/(-11). Find the second derivative of 11*d**5 + 6*d - 5*d**u - 8*d**5 - d wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -55\/192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-8))\/(((-15)\/25)\/(-1)). Let r = 0.5 - 0.6. Which is the nearest to 0? (a) r (b) m (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538 + 116 = -113*g + 331*g. Solve 3*h - 12 = -3*r, -4*r = g*h - 8 - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**4 + 212*k**3 + 5068*k**2 - 146756*k - 2642520 = 0.\nAnswer: -19, 30, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4738 is divided by 83.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = p + v + 32, -7*v = 0. Calculate the highest common factor of 136 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8536 and -68?\nAnswer: -580448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 184, 1, -4 in increasing order.\nAnswer: -4, 1, 7, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4493 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 18 - 6. Let x be (0\/3)\/(a - 5). Suppose c + b - 1 - 23 = x, 0 = c - b - 30. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m + 8. Let j be q(-8). Suppose 24 = 4*b - j. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 + 48*k - 48*k.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14331839 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 47*s - 4. Let g be f(1). Let t = 40318\/11 - 3668. Find the common denominator of (-46 - -49) + g\/(-3) and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26911.4579 to the nearest integer.\nAnswer: -26911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(1\/38)\/v)\/(v\/(v\/v**(2\/31))*v)*(v*v*v*(v*(v*v**(33\/7))\/v*v)\/v*v*v)\/(v*v**35\/v) assuming v is positive.\nAnswer: v**(-200575\/8246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 8. Suppose -2*t + 24 = -t - 5*p, 0 = -t - p. Suppose t*o = 5*o - 2. Solve o*x = m*y, -3*x + x = -3*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(108) + -1 + sqrt(108) + -2.\nAnswer: 2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 2609*u + 2609*u. Let i(r) = 0*r**2 - 14*r**2 - 155 + 155. What is i(n(g))?\nAnswer: -14*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 + 409*u + 22929. What is b(179)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 1048311*d**2 + 291604347*d + 20270530545.\nAnswer: -3*(d - 349715)*(d + 139)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -7 + (0 - -3) - -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2357 - 1237 - 187)*(3*l - 4*l + 2*l) to the form o*l + v and give o.\nAnswer: -3781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -178, -17, -0.1, 17.8, -4\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3292480 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 134*v**3 + 408*v**2 + 410*v + 137.\nAnswer: -(v - 137)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100886*q**2 - 1185848*q wrt q.\nAnswer: -201772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108241241?\nAnswer: 3, 11897, 31051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 20708?\nAnswer: 227788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459452385.\nAnswer: 3, 5, 7, 486193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5751*s**2 - 4*s - 4. Suppose 5*q + 14 = -4*y, 0 = -3*y - 2*y - q - 28. Let k be c(y). Let a = 97016 + k. What is a rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 4*u - 77\/2*u**2 + 6. Let r(i) = -51*i + 3. Let t(n) = -5*f(n) + 7*r(n). Differentiate t(q) with respect to q.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -1\/504*p**8 + 0*p**3 + 4\/315*p**7 + 0*p - 1\/36*p**4 + 2\/45*p**5 + 0 - 1\/30*p**6 + 12*p**2. Find c such that i(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59696 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 14 = -u, -32 = 106*u - 110*u. Let t = -5 + 9. Solve t*h = y*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 e, and 1 l when three letters picked without replacement from ekllllhellellhell.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 661968 divided by 661968?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -714432 by 134.\nAnswer: -357216\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -83580 to the nearest one thousand.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133 - -68. Let r = 131 + u. Let h be 4\/14 - 120\/(-21). What is the highest common divisor of h and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 33*f**2 + 5. Let g be w(-4). Let n = g - 379. Let l be -7 + 21*2\/2. Calculate the greatest common divisor of n and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 165494*b + 165492. What is i(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 25161240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60.325 - 0.325. Let w = 58 - k. Which is the nearest to w? (a) 2 (b) 1\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -2 (b) 4 (c) 0.5 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3302564\/(-602160) + 6\/15. Let r = f + 3\/2509. What is the common denominator of -37\/8 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (356*k**3 - 3 + 333*k**3 + 3 - 180*k**3)*(28 - 12*k - 28).\nAnswer: -6108*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**4\/4 - 2*d**3\/3 + 9*d**2\/2 + 18*d + 161. Let v(w) = 0. What is w?\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.8 + 14.8. Which is the second smallest value? (a) o (b) 2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283940772 to the nearest integer?\nAnswer: 16851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2*h, f + h + h + 5 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**6\/80 - v**5\/24 - v**4\/6 - 7*v. Let h(j) be the third derivative of w(j). Find the first derivative of h(a) wrt a.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 9 (b) 3 (c) -4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*h - 225, 4*i = -104*h + 106*h + 178. Let y = 243 - -76. What is the greatest common divisor of y and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000494272 to six dps.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -116636?\nAnswer: 116639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggvay. What is prob of picking 1 a, 1 y, and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 4 + 0 + 2 - 1 + (5 + 2 - 6)*(1 + 0 - 2))*(-5304*g**3 + 5615*g**3 - g - 12 + 14) to z*g**3 + c + d*g**2 + r*g and give z.\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(40\/(-15))*-20. Calculate the greatest common factor of k and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 - 10010000000?\nAnswer: -10010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 23*n = 21*n, 0 = 2*z + n. Solve z = 2*b - 14 + 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5 + 9*w**4 - 105069*w**3 - 1364157*w**2 - 5348322*w - 6604416 = 0. What is w?\nAnswer: -182, -7, -3, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/8 + (-6)\/(-8). Suppose -y = c, l*c = -y + 4*c + 4. Let u(x) = -13 - x**y + 13. Let w(f) = f. Determine w(u(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-12)*l)\/l)**(1\/51) assuming l is positive.\nAnswer: l**(-4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = n - 4140. Let z = n + -242. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k**2 - 3*k. Let h(u) = 91*u**2 + 26*u. Give 26*g(x) + 3*h(x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19234335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**3 - 26*r**3 + 14*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 72 = -t - 0*y, -3*t - 2*y = -219. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 2:05 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 128 + 2561?\nAnswer: 2689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -d + 9*p + 9022, 0 = d + 3*p - 9038. List the prime factors of d.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2111 + 1292. Find the common denominator of 2\/(-3)*(167\/(-4) - -2) and -5*4\/(-70) + 1515\/l.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -25. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 244 - 246. What is the closest to 2 in i, 1, 0.22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2775 = k, -k - 1080 = 2*g + 309. Let s = 862 + g. Is 42 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18919\/8 + 16542\/7. Calculate the common denominator of g and -5\/49.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52036837591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22291 is divided by 3149?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 58040130 to the nearest 1000000.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**1)\/f)**(-2\/133)*((f\/(f*f*f**(-4)*f))\/f)\/f**(-2\/19))**(-1\/29))**(-13\/2) assuming f is positive.\nAnswer: f**(65\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000045 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by -3?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3776.688 to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383c5 (base 15) to base 12.\nAnswer: 8801b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 46. Let p(c) = -2*c - 49. What is 5*j(x) - 4*p(x)?\nAnswer: 3*x - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 125016.7488 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 - 3*r**3 - 311.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7517.2 + 0.\nAnswer: -7517.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + (58 - 72) + -5 + 17?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 1288 = o. Is (0 - 2\/(-7))*o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 28*o**2 - 292*o + 235. Determine t(10).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3545, 3163, 2131, 125, -3179, -8105, -14977?\n\"Answer: -54*q**3 - q**2 - q + 3601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*v - 3*z, 4*z - 7 = -3*v - 2. Let d(w) = 2*w + 2. Is d(v) 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 483 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 - -58.31. Let m = i - 0.22. Let h = m + -0.089927. Round h to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111057403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 12:18 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 706387968 a multiple of 2144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3\/3 - 946*d**2\/3 + 40985*d\/3 + 11132 = 0.\nAnswer: -4\/5, 69, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p + 5*a + 50, 0 = -2*p - 5*a + 13. Let k = -6 + p. Let y(r) = r**2 - k*r**2 - r**2. Let q(m) = -2*m**2. Give q(y(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101388 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5619478 is divided by 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/2 + (-18)\/36 + 5. Let p(k) = -3 + 16 - k - 2 - 4 - a. Calculate p(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 50. Which is the nearest to m? (a) 0.4 (b) 2\/13 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 + -83. Let x = 166 + -193. Let c = x + p. Let f(z) = z. Calculate f(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in -3, -35, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 627192\/5 at least 125438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = w + 3*j, 2*w - 3*j - 538 = -0*j. Let g(d) = w*d**3 - 136*d**3 - 129*d**3 - 1 - 2*d. Calculate g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2 = 3*n - n, -3*u - 15 = 0. Let r be (-3)\/n - (-11)\/(924\/(-76)). Which is the closest to -1? (a) 3 (b) -2 (c) 2\/7 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 5:19 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.083015 to three dps.\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(27 - 2))\/(556\/3475)*(45 + -5).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 185.\nAnswer: -55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6) - (-1 + 177\/126). What is the closest to 1\/4 in m, 2\/11, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38186435 rounded to the nearest one million?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (85\/10)\/((-1)\/(-2)). List the prime factors of b + 0 + -3 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 24*b - 15. What is l(-11)?\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -20 - (-21 + 20) - -2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2844 + 2842. Let f(q) be the first derivative of q**2\/2 - q - 14. Let j(v) = -10*v**2 + 2*v - 2. Calculate b*f(c) + j(c).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 262 = 3*s, -d - 48 - 18 = -4*s. Let u(p) = 20*p**3 - 25*p**2 + 25*p - 25. Let k(m) = -m**3 + m**2 - m + 1. What is d*k(l) - 2*u(l)?\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 180560.9699972 + -180561. Let t = -0.03 - c. What is t rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 + 402 = -t + 35*u, -4*t = -u - 4*u + 197 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - (sqrt(100)*-1 + sqrt(100))\/sqrt(10))\/(sqrt(4)\/sqrt(2)*-3))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1247*t - 6474 = 26435 + 18447 - 12699 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/2 in 12677, -3\/5, 19?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 537, 380, 115, -258, -739?\n\"Answer: -54*x**2 + 5*x + 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3948141639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/93 + (-1031211)\/(-899)?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 9 = 2*d, -i - 13 = 4*d + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -557.55 - -557.15. Let p = 3 + 0. Which is the biggest value? (a) 0.08 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x + 16. Let n be (-23)\/7 - 2\/(-7). Let s(o) = 3*o + 4*o + 5*o - 3 - 11*o. Give n*j(t) - 16*s(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -9) + 0 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - 1. Let x(u) = 16*u - 6. Let y(j) = -11*t(j) + 2*x(j). Let d(s) = -2*s**3 - s - 3. Determine d(f) - 2*y(f).\nAnswer: -2*f**3 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5495b + 532?\nAnswer: -54429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -168050 (base 10) to base 14.\nAnswer: -45358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12230301 (base 4) to base 6\nAnswer: 331013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4992 and 5200.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188530057\/175404 + 3\/58468. Let t = -1080 + p. Calculate the common denominator of t and -31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0\/t*t\/(t*t**(1\/2))*((t*t*t**(-1))\/t)\/(t*t**(-2\/15))*t**6\/((t*t*t**0)\/t*t*t*t)*t\/t**(3\/8)*t**(-2\/7) assuming t is positive.\nAnswer: t**(-23\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-528)\/(-56)*7\/(-1). Does 64 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -38307, 32 in decreasing order.\nAnswer: 32, 4, -11, -38307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*j**2 + 2*a**2*j - 3*a**2 - 6*a*j**5 wrt j?\nAnswer: 4*a**2 - 120*a*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**3 + 4. Let y = -40 + 39. Let s(v) = -3*v**3 + v**2. Let z be s(y). Let h(o) = 1. Determine z*h(j) - x(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38, -33, -28, -23?\n\"Answer: 5*k - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8786457 and 118944.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0.9. Let s be (-12)\/10*30\/(-9). Suppose 2*y = -y + s*q + 16, y = -2*q - 8. What is the closest to c in y, 5, -1\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + 2 - 2 + d**4 - 5*d**4 + 2*d**4 + (-2*d - 2*d + 3*d)*(5*d**3 - d**3 - 5*d**3) + 2*d**2 - 9*d**4 - 2*d**3 - 12 + 9*d**4 - 7*d**4.\nAnswer: -9*d**4 - 2*d**3 + 2*d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1 + -2) + 0. Suppose n*t - 2*t = -8. Solve -t*s + s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1619 (b) 20 (c) 1359\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 264 + -80. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/8*8\/12. Suppose -w + 15 = 2*w. Does w = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -504 - -626 - (-12 + 58)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -d - 13, 3*m - 5*d - 31 = -10. Suppose -x + m*x = 4*h + 96, -5*x + 2*h = -480. Find the common denominator of 47\/3 and 4\/6 - (-92)\/x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 116, 42, -78, -244, -456?\n\"Answer: -23*p**2 - 5*p + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 - 784\/(-40). Let x(l) = -l + 2. Let d(t) = t**3 - 22*t**2 - t + 22. Let s be d(22). Let m be x(s). Solve -3*a = q + 15, -5*a + a - v = m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*c - o - 3, c + 3*o = -9. Suppose c*j + 158 = j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2\/11 - 5802910*t\/11 - 17408739\/11 = 0. What is t?\nAnswer: -3, 5802913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - 2) + (-2 - -5). Suppose -f*v - 25 = -2801. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4162?\nAnswer: 2, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -11*t - 204. Let z(f) = -6*f - 102. Let c(d) = 3*h(d) - 7*z(d). Let a be c(-11). Solve y - 4 + a = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -21*o - 27 - 15 - 17. Let u be k(-5). Which is greater: 48 or u?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-6) - (-154)\/(-140). What is the closest to y in -4, 0.35, -2?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 + k. Let y be a(-1). Let r(t) = 5*t + 5. Let p(d) = 0 + 1 + 4*d - d. Let x(u) = u. Let j(b) = p(b) - 2*x(b). Calculate y*r(s) - 6*j(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1)\/c)\/c)**(-41))**(5\/2)*((c\/(c**(-1)*c))\/c)**37\/(c**1*c)**(-7) assuming c is positive.\nAnswer: c**(643\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/3)*c)**20*(c*c**(-2\/3))**15*((c**(-2\/5))**(-32))**(3\/40) assuming c is positive.\nAnswer: c**(2447\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -252, 13 in ascending order.\nAnswer: -252, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.1 - -6.8. Suppose 0*f = 3*f - 2*p + 2, 4*f + 2*p = 16. Which is the nearest to f? (a) s (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47 + -1b1?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 6 + -33*(-63)\/(-243)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-14))\/(12\/(-4)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -2 (c) -1\/3 (d) 0.3 (e) 18 (f) -10 (g) 100\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2169.08 - -2163.88027. Let q = 5.17 - -0.03. Let u = j + q. Round u to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 - 55 - 9*p**2 + (2*p + 0*p + 0*p)*(0*p + p + 0*p) + 0*p**2 - 3*p**2 - 2*p**2 in the form h + q*p**2 + r*p and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-3)\/(-6) - 0). Suppose -x + 54 = 4*x + u*f, -f = -5*x + 63. Is 13 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 5832?\nAnswer: 23328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11360589743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54.46 + 54.56. What is the closest to z in -2, 7, -1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -48 (b) 0.2 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.26 + -0.13. Let k = p - -2.87. Which is the second smallest value? (a) 6 (b) -2\/11 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*i, 155*x - 4*i + 10 = 157*x. Let o be ((-8)\/14)\/((-12)\/1218*-7). Is o at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*h + 41*h - 711 = -75*h. Let p(y) = -23*y - 214. Give p(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Suppose -3*x = -4*f + 14, 2*f - q = x + 2*x. Suppose 30 = 3*c + x*c. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 482 - -1014. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53355 divided by 10671.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 8*l**2 + 6*l - 4. Let w be ((-3)\/(-18)*3\/(-2))\/((-270)\/(-7560)). Determine h(w).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33875 + 0?\nAnswer: -33875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18651340 and -0.1.\nAnswer: -1865134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = s + s. Let g = 57 - s. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(4\/3))**(-13))**(-24))**(-32) assuming r is positive.\nAnswer: r**(-13312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 0)*(10*d - 89 + 42 + 46) in the form m*d + v and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3937 - -1758?\nAnswer: 1758.3937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - z + 2 = 0, 0 = 3*m + 2*z + 3*z - 2. Which is the third biggest value? (a) -2\/5 (b) m (c) 0.4 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 4*n - 82 = 130 - 82, -4*n - 126 = 15*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -85, -188, -331, -514, -737, -1000?\nAnswer: -1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*n + n = 3, 2*n = 2. Suppose 4*r - 2 - 2 = -2*z, r - 2*z - 6 = o. Let d(y) = -2*y**3 + y. Let s be d(1). Sort 47, r, s.\nAnswer: s, r, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1132 - 890 = 11*c. What is the remainder when 197 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 77*i + 73*i = 14, -2*v + 5*i + 21 = 0. Let t(l) = -2*l + 4. Let b(k) = 6*k - 11. Give v*b(h) - 7*t(h).\nAnswer: 2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = 1. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36509714?\nAnswer: 2, 18254857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - m**2 + 369739*m**3 - 184896*m**3 + 0*m**2 - 184855*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/270*39)\/(1\/2) and 6\/8 - 266\/72?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 267.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -259112.947 to the nearest 1000.\nAnswer: -259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnb when three letters picked without replacement from cracnbccrcbbc?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 191?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-15)\/(-6) + 1). Suppose 3 - i = 2*k - 4*w, 4*k + w = 28. Calculate the remainder when 11 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 3:27 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/(-23)*(-1 - 5701) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 19*j**2 + 2. Let h be d(-19). List the prime factors of -1 + (-2)\/h - -55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 8 - 4 + 2)*(54*m + 264*m + 233*m) as v + o*m and give o.\nAnswer: -6061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8377*r + 28 = -8384*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 992, 990, 986, 980, 972?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 2*m + 10. Let z be (-1 - (-15)\/(-10)) + (-6)\/4. Let n be w(z). Solve 0 = -n*h - 0*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 2*q - 1. Let p be w(1). Suppose p = -3*h + 3 + 3. Suppose -h*s + 3770 = -3*i, -i + 0*s = 2*s + 1270. Round i to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542925 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -354475 - 7?\nAnswer: -354482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 931.4079 weeks?\nAnswer: 9388591.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 10*r + 5*r - 35 = 0, -d = 3*r + 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0.345, 5, 3\/10, 1\/10, -3 in descending order.\nAnswer: 5, 0.345, 3\/10, 1\/10, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 14 + 7*j**3 - 15*j**3 + 19 - 5*j**2 + j as r*j**2 + p + a*j + g*j**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l. Let z(i) = 95*i + 19. Let h(j) = 16*j + 3. Let d(b) = 19*h(b) - 3*z(b). Determine d(c(t)).\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 10:49 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -29*n + 6. Let b(v) = 25*v - 5. Let u(f) = -7*b(f) - 6*k(f). Let q(i) = -7*i**2 - 28*i - 28. Determine q(j) - 28*u(j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 3*g + 2*g**2 - g**2. Let j(v) be the second derivative of -1\/6*v**3 + 0*v**2 - v + 0. Determine -d(n) - 3*j(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.8 and 73.754.\nAnswer: -354.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-3)*24\/64*(-7 + 5). Solve 2*m + 3 = -y*r - 7, -4*r - m - 13 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20822*76.5.\nAnswer: -1592883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*a + 247*a - 60 = 125*a + 14*h, -3*a - 2*h - 14 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*m = -77*m - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 590000. Let z be (-1)\/(-2) - (-8)\/(-16). Suppose -11*p + 9*p = z. Let a be l(p). What is a rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 9:48 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 6 - (3 - 1 - (-51 + 65))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4420 (base 10) in base 3?\nAnswer: -20001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.113137 millennia in months?\nAnswer: 85357.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 36. Solve -d - 3 = -z*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1000000?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 6:39 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 3285 = -31*k. What is the remainder when 145 is divided by k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, 7, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.081? (a) 71 (b) -4.5 (c) 0.3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 2*d. Let w be u(2). Let r = 3 + w. Suppose -x - 6 = -5*f + r*x, 0 = -4*f + 3*x + 5. Solve -2*b + b - f = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 10*p**2 - 10*p - 5. Let o be b(-9). Let g = o - 8. Which is greater: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -27. Let v = k + 14. List the prime factors of v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77 - (36 - (-6 - -47) - 3).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b**2 + 1. Give h(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21353028*d**4 + 8237931*d wrt d.\nAnswer: -256236336*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -4. Let u be (-2)\/6*(-15)\/j. Which is the third smallest value? (a) -5 (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1 = -j, 0 = -5*j - 7*q - 14 + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uscnp. What is prob of picking 1 c and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -112 + 4?\nAnswer: -10e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/26)\/(3608\/(-1353))\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16247 is divided by 1813.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259 = 3*o + 238 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.859993677 rounded to 2 decimal places?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 8:51 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -66 + 61. Is 10 a factor of ((-6206)\/(-428))\/(((-2)\/(-40))\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) + 7\/(-42). Let v = 0.02 - 0.24. Let q = -0.02 - v. Which is the closest to 1? (a) s (b) q (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 234 = -28. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -7 in increasing order.\nAnswer: -7, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - -3. Suppose p - j = -p. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31896436?\nAnswer: 2, 11, 13, 55763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 5*c - 1270. Let a be (19 + -17)*(-3)\/(-2). Suppose -350 = -5*v + 4*m, 5*m - 87 + c = a*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/89 - -86\/267. Let f = 3 + 15. Let v be (-27)\/f + (-1)\/2. Which is the biggest value? (a) v (b) p (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -r + 2*k, 128 = 4*r + 5*k - 228. Let v(s) = -s**2 + s - 46. Let n be v(0). Let t = n + r. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 7:19 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (6 - ((-65)\/13 - -12))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 8, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 6:32 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -92993 (base 11) to base 10\nAnswer: -135622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 6 = f - 3, 37 = f - 4*y - 2*y for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96034 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*r - 15 = -64*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09836 - -0.1.\nAnswer: 0.19836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 10*j**2 - 12*j - 8. Calculate w(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/119*12\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*n - 7. Suppose -4*p - 37 = n. Find the common denominator of (-25)\/(-10)*14\/p and 21\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-140)*49\/(-28).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(7 - 0)\/1. Let y(w) = w + 13. Let h be y(b). Suppose 0 = -3*a + a + h. Solve -3*g + 2*j - a = 11, 0 = -g + 2*j - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Let t(q) = -2*q + 2*q + 4*q - 5*q. Let d = 6 - 10. Let r(x) = -4*x. Let i(w) = d*r(w) + 18*t(w). Give i(b(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379 = -11*x + 412 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -315198391.7 to the nearest 1000000.\nAnswer: -315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20286000 and 4000?\nAnswer: 40572000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 943*m + 916 wrt m?\nAnswer: 943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*c + 6, 3*c + 5*t + 17 = t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -4\/5, 0.2387, 27?\nAnswer: 0.2387","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -16 - (2 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314288 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**(-2))\/(l*(l*l\/(l*l\/(l\/(l**3\/l)))*l*l)\/l*l))\/(l\/l**(-2\/7)*l\/(l**(-2\/7)\/l)))**(1\/36))**(-1\/23) assuming l is positive.\nAnswer: l**(1\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*c + 18830, 4069 = -5*c + 4*r + 22899. What is the remainder when c is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3376 + (-13)\/(104\/88) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7 + 32*x - 35*x + 0*x. Let m(z) = -3*z - 8. Calculate 5*m(h) - 6*r(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 d when four letters picked without replacement from {y: 1, p: 4, d: 2, c: 10}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 9*p + 0 + 10*p - 11 - 21*p. Let z be f(-8). Suppose -z*l - 251910 = -796910. Round l to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134.177 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3413667 is divided by 169.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.173364 to 3 dps.\nAnswer: 0.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2828)\/6)\/((-80)\/10) + ((-2001)\/(-828))\/29.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - 0.4. Let z = -0.67 - -0.7. Let g = z + -0.43. Which is the closest to 1? (a) g (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -765 (base 8) to base 12.\nAnswer: -359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(((-6)\/(-1))\/(-3)). Let w = 11 - s. What is the second derivative of -w*z**5 + 3*z - 3*z**3 + 2*z**5 + 3*z**3 wrt z?\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4593 - -12644. Is x a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.02 - 0.02. Let m = i - 10. Let t = m + 6. Which is the nearest to t? (a) 3\/8 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69 + -165. Let g be n\/(-42) + 8\/(-14). Solve g*l - 3*l = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*x - 2037 = 293*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6082*z - 18721 with respect to z.\nAnswer: 6082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -2, -17 in descending order.\nAnswer: -4\/7, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2039, -2046, -2063, -2096, -2151?\nAnswer: -2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**2))\/k*k*(k\/(k\/(((k\/((k\/(k**(-6)\/k))\/k))\/k)\/k)*k))\/k)\/(k*(k**(-1\/4)\/k)\/k)**36 assuming k is positive.\nAnswer: k**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -211327 (base 11) in base 3?\nAnswer: -122012021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -173.67 and 0.184.\nAnswer: -173.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03759177 + -0.03775. Round i to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**4 - 41955*i**3 + 125775*i**2 + 377435*i + 209700 = 0?\nAnswer: -1, 5, 8388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26700?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102820 is divided by 34273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -845*s**3 - 550794790*s**2 - 84737645*s - 3259140.\nAnswer: -5*(s + 651828)*(13*s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 158537647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285443273 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16104 (base 7) to base 14\nAnswer: -1904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**2\/2 + a - 2. Let w be y(-7). Calculate the remainder when 27 is divided by 4\/w - 29\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3*l + x + 26 = 80, -l - 80*x = -87*x - 28 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-16))\/(16605\/(-164))*3?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 342084 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 93.\nAnswer: 17\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.8 in -3\/8, -4\/5, -2\/19, 2\/15, -2\/11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529069 is divided by 798.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3 - 748*j**2 - 1499*j - 750 = 0.\nAnswer: -1, 750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -v - 382, -134 = -b + 4*v - 2*v. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 22 = -12*n + 59 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 5 + 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/44)\/((-1)\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, r: 4, h: 3}. Give prob of picking 1 r and 2 k.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4)*g\/g**3*(g\/g**(2\/5))**40)**(-2\/63))**27 assuming g is positive.\nAnswer: g**(-261\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 421*p**2 - 2*p - 16 - 5 + 22. List the prime factors of k(1).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53622474991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -5*r**7\/42 + 3*r**3\/2 + 30*r. What is the second derivative of a(b) wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 o, and 1 r when three letters picked without replacement from {o: 1, s: 7, e: 3, r: 5}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 104056867 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21962550 take away 0.106842?\nAnswer: 21962549.893158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/136500 and 167\/332280.\nAnswer: 58149000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jysj when four letters picked without replacement from yyyssjssyscsjyyysyy.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/4 and -4\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 8:53 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, i: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9393 is divided by 154.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 12168 - f**3 - 12476 + 5*f to the form g*f**2 + c*f**3 + p*f + k and give k.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1221\/154370 - 1\/718. Let f = -88\/215 - u. Let k = -0.35 + 0.05. Is k bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 957621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26323166 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -269c + 11?\nAnswer: -268b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*d**3 + 2*c*d**2 - 34199*c*d - 2*d**3 + 18*d**2 + d wrt d?\nAnswer: 6*c*d + 4*c - 12*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -5. Let o(l) = l**2 - 5. Let n(c) = 2*c**2 - 7. Let y(t) = s*n(t) + 7*o(t). Let j(z) = 2*z**2. Give j(y(r)).\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3880893 and 73\/24.\nAnswer: 31047144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321215035 (base 6) to base 11.\nAnswer: 3218a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/4))**(-2\/11)\/(z**(1\/4))**(1\/13))**(-23\/3))**(-18) assuming z is positive.\nAnswer: z**(-2553\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 977*t**2 + 47*t**3 - 977*t**2.\nAnswer: 47*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 0.06 (c) -1.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f + 9*f - 11*f = 58 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538 less than -90?\nAnswer: -1628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1206567 and 274446?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(-9*50\/14625)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51343\/5, 2, 173 in descending order.\nAnswer: 51343\/5, 173, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 5 (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -735, -770, -871, -1074, -1415?\n\"Answer: -6*j**3 + 3*j**2 - 2*j - 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-24)\/(-56)*7\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8783, -17558, -26331, -35102?\n\"Answer: w**2 - 8778*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 5*p - 18 - 7 = 0, 0 = -4*p + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 279192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -11*g + 5. Let o(s) = -14*s - 2. Let y(r) = 5*j(r) - 4*o(r). Let k(n) = 5*n**2. What is y(k(p))?\nAnswer: 5*p**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26\/(-4))\/((-4)\/(-8)). Let o(y) = 10 + 0*y + 2 + 2 - 3*y. Is o(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - m + 302*m**3 + 2 - 301*m**3 as a*m**2 + x*m**3 + u + z*m and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 243*i + 102*i + 284*i + (-i - 2*i + 2*i)*(1 - 2 - 1).\nAnswer: 631*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 = 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/4? (a) -5 (b) 2 (c) 1299\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 557 divide 8215086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 7*b**2 + 8*b + 7. Suppose -210 = 5*k + k. Let w be 28*(4 + 110\/k). Let s be 56\/(-9) - w\/(-108). Determine l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/331116 and -179\/80760.\nAnswer: 3311160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281286.81 months to decades.\nAnswer: 2344.05675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1920)*1 + sqrt(1920) + sqrt(1920))*2)\/(1*(-1*sqrt(54))\/sqrt(9)) + 0.\nAnswer: -96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/(-8)*4 + 349 + -349.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -943695\nAnswer: -1\/62913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, j: 4, r: 10, u: 2}. Give prob of picking 1 u and 1 j.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 847.6273 millilitres?\nAnswer: 0.8476273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1409 * 0.1\nAnswer: 140.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 4*y**2 - y + 1. Suppose 2*n - 19 = -3*u, 0 = -2*n + 3*u + 3 + 10. Let f be (-1 - n\/4)*1. Determine g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13124111 - 10?\nAnswer: -13124121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(2\/7)*v)\/v*v)**(-47))**(16\/7)*v**7\/(((v\/(v**(-7)*v))\/v)\/v)*(v*(v*v\/(v**(-1)\/v))\/v*v)\/v*(v\/v**(-2\/5))\/v assuming v is positive.\nAnswer: v**(-43552\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2 + 8, -49 = -q + k. Calculate the remainder when q is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -h - 2*z, 2*z = 2*h - 8. Suppose -3*b + 25 = h*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10107.9 rounded to the nearest 100?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 3 - 21 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-1))\/k)**(-32))**(-5\/3)*((k*k**(1\/4))\/(k\/k**(-2\/9)*k))\/(k\/(k**(-2)*k)*k**(-1\/6)) assuming k is positive.\nAnswer: k**(1819\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6178*f**5 + 2959*f.\nAnswer: -123560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/4 - 6*b + 45\/4.\nAnswer: 3*(b - 5)*(b - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010000100010 (base 2) to base 7.\nAnswer: -21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 106*z**3 + 5*z - 5*z - 66*z**3 to the form l + y*z + q*z**2 + w*z**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 53)\/336*84\/(-66).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6064*d - 5995*d = -2208 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - y - 4. Let l = 4 + -7. Let a be t(l). Suppose -3*b + 101 = 5*s, 0 = -2*s + 2*b + 42 - a. Calculate the greatest common divisor of s and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 5 = -2*y + h, -4 = 2*h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:47 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, r: 3, h: 5}. What is prob of sequence rhr?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -13 + p - 11*p - p. Is m(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 886 = 2*q - y, -5*q - y + 2222 = 0. What is the remainder when q is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - v + 2*v)*(4*v - 4*v - 10*v + v).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*f + 4*f. Suppose 0 = -4*q - 3*j + 73, 6*q - 95 = q - f*j. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**3 + 7*u**2 - 241*u. Let a(m) = 2*m**3 - 3*m**2 + 120*m. Calculate 9*a(r) + 4*q(r).\nAnswer: 6*r**3 + r**2 + 116*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33350, -133396, -300140, -533582, -833722?\nAnswer: -1200560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f = 16*f + 129. Let r be (0 - f\/1)*(-1)\/1. Suppose 46*b = r*b + 114. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 34147*w + 34173*w = 1326, 7*y - 51 = -w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.288975115 to 1 dp.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 - m**3 - 2*m**3 + (3 - 2*m - 3)*(-m**2 + 2*m**2 - 2*m**2) + m**2 - m**2 + m**3 + 2*m**3 - 1 + 1 - 4 + m**3 + 4 - 6*m**2 - 3*m**3 - 4*m**3 + 8*m**2.\nAnswer: -3*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-245)\/(-85) + (-4 - -1). Let b be 1 - (4\/(-4) - (161 + 2)). Let g = 164 - b. Is a bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06359155 * -22.\nAnswer: -1.3990141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -56. Calculate the lowest common multiple of t and (-215)\/(-3) + 24\/72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 72 = -0*j + j, 5*j + 3*z - 292 = 0. Calculate the remainder when (-150 - -150) + (97 - 2) is divided by j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1252*j**2. Let p(b) = 2173*b. What is p(g(s))?\nAnswer: 2720596*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.870158313 and -0.4.\nAnswer: -0.3480633252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((6*((sqrt(84) + 1*sqrt(84) - sqrt(84) - sqrt(84)) + sqrt(84)))\/sqrt(12) - 3*(-1 + sqrt(7))*3)**2 + -1)*3.\nAnswer: -324*sqrt(7) + 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 426\/(-27) - (-2)\/(-9). Let b = 47\/3 + v. Is 3 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j*j*(j**(3\/8)\/j)\/j))*j\/j**(4\/11)*j assuming j is positive.\nAnswer: j**(177\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/5 (b) -0.1 (c) -1.598 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487*z**2 + 2964*z**3 - 344*z**2 - 143*z**2.\nAnswer: 2964*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**6\/180 + 19*t**5\/30 + 361*t**4\/12 + 2*t**3\/3 + 31*t**2\/2 + 4. Let n(w) be the third derivative of f(w). Factor n(d).\nAnswer: 2*(d + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**4\/24 - o**3\/3 - 2*o**2 + 3. Determine h(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m - 20. What are the prime factors of p(-10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(5) + sqrt(80) + -2 + -4 - (-1 + sqrt(5) + 3 + -5)))**2.\nAnswer: -384*sqrt(5) + 1424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*u - 196*u + 15 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-64870)\/(-845) + -77 + 178\/(-130)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(76*l - 29*l + 27*l) as r*l + x and give r.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 2)*(-1)\/2. Let o be (-6 - 13) + (-3 - -4). Let b = -19 - o. Put -5, b, t in descending order.\nAnswer: b, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 4*h - 12*h)*(-49 - 31*h**2 + 49)*(-7 - 2*h + 7) to the form b*h**2 + i*h + g + c*h**3 + x*h**4 and give x.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018229 to 5 dps.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*d**3 + 11*d**3 + 39*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 195.3 + -194.9. Sort -17, -5, j, -4 in ascending order.\nAnswer: -17, -5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 + -116. Suppose -5*f + 4*l + 7 + 1 = 0, -4*f + 4 = -4*l. What is the second derivative of 17 + s**4 - 17 + 5*s**f - d*s wrt s?\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -5*q**4\/4 + 31*q**3\/3 - 18*q**2. What are the prime factors of k(-4)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - h + 0 = 11, -2*c + h = -8. What is the highest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1032 = 82*u + 47*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*c = 21, -45 + 33 = -t - 3*c. Solve 0 = -t*a - 3*f + 12, 3*a + f = -3*f + 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.204 to one decimal place.\nAnswer: -99.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 9. Let n be j(-9). Suppose -3*l - a - 79 = -n*a, 5*l + 3*a + 129 = 0. What is the common denominator of -53\/8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 204 - 75. Let j = q + -63. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 42661\/(-888) + 28 + 10\/(-12)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 131615 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 175, 242, 313, 388?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10668*c**3 + 5302*c - 6. Let l(p) = -2*p**3 + 14*p + 2. Let g(q) = 3*l(q) + u(q). Find the second derivative of g(o) wrt o.\nAnswer: 63972*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(0 + 1 + 0). Let b(t) be the first derivative of 2*t + l + t**2 + 1\/6*t**3. Let b(m) = 0. Calculate m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3133, 3035, 2937?\n\"Answer: -98*k + 3231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 1 = 6*h, 5*h + i = 45 - 39 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2690591062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792352163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 1. Let l be s(-1). Let x(g) = -g + g**l + g. Let d(i) = -23*i + 8. Let m(j) = -26*j + 10. Let n(c) = -5*d(c) + 4*m(c). What is n(x(q))?\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 1 - 2 + 3 + 4*k + k**2 + 1 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 3. Suppose 3*z + 182 = o - z, z = r. What is the highest common factor of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*0.05\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**5\/60 - 7*c**4\/24 + c**3\/2 + 7*c**2\/2 + 14*c. Let v(k) be the first derivative of f(k). Give v(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7153760*f**2 + f**3 + 14307525*f**2 - 7153765*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56\/19 - -6254\/2109. Let d = v - -101\/555. Let y = 106.5 - 105.5. Sort y, 3, d, 0.5.\nAnswer: d, 0.5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)*c**(-44) assuming c is positive.\nAnswer: c**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 46. What is the second derivative of -n*u**2 + 4*u**3 + 16*u**2 + 2*u + 2*u wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 6797.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -0.5. Let p = w - 2. Let j be ((-9)\/(675\/4))\/((-6)\/(-54)*6). Sort p, j, 0 in ascending order.\nAnswer: p, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -467, -1968, -4445, -7898, -12327?\n\"Answer: -488*i**2 - 37*i + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**6\/30 - 4*o**5\/15 + 5*o**4\/6 - 4*o**3\/3 + 5*o**2\/2 + 2*o - 83. Let d(f) be the second derivative of r(f). Factor d(y).\nAnswer: 4*(y - 2)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302 + 49 + 753*o**3 - 756*o**3.\nAnswer: -3*o**3 - 253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Which is the third biggest value? (a) -1 (b) l (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400943278?\nAnswer: 2, 433, 462983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 4 - 152*f + 152*f + f**2. Let s(n) = -34*n**2. Give x(s(c)).\nAnswer: -68*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 17*n + 49 = 0. Let y = -32 - n. Let d = -4 + 11. Calculate the remainder when y is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**1))**(10\/3)\/(j*j**3*j\/((j**7\/j)\/j))*(j**(-5)\/((j\/((j**(-3\/7)\/j)\/j))\/j))**(-19\/4) assuming j is positive.\nAnswer: j**(811\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0108581 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/6741360 and -21\/15605?\nAnswer: 6741360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 10. Let w = 11 + o. What is the derivative of 0*y**3 - y**4 + 1 - y**w + y**3 wrt y?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3922?\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 7*h**5\/2 + 11*h**4\/2 - 669*h**3\/2 - 3659*h**2\/2 - 3173*h - 1680 = 0.\nAnswer: -7, -3, -2, -1, 80\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:07 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 4, -99.3, 8, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 18. Let l be p(4). What is the derivative of -1705*c + 1705*c - 4 - l*c**3 wrt c?\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*x + 3. Suppose j - 10 = 5*k, 6*k = x*k. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-288))\/(3\/(-8))*(-3)\/(-21).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17.81969212 + 44.1\nAnswer: 26.28030788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 6*y**2 - 6*y - 1. Let g be r(7). Let i = -6 + 8. What is the first derivative of 3 - g - 4*o + i*o wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17887142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24298041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 3*p**2 - 2*p - 1. Let o be t(-3). Let c be (-1)\/(-2)*-6 + 5. What is the third derivative of 0*i**2 + i**3 + o*i**c - 4*i**3 - i**3 wrt i?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.4, 5, -1\/104, 13, -166?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j - 88. Let w be i(0). Let a be (8 + 0)\/(w\/(-36)). Do 3 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113146636.\nAnswer: 2, 193, 146563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from {g: 1, y: 2, u: 1, n: 2, h: 1, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -23 - -12 - 4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13200 - -210?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24.1, 1, -1\/4 in descending order.\nAnswer: 1, -1\/4, -24.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 22 = -5. Let u = b - 30. Let r(c) = -9*c + 11. Let m(l) = -5*l + 6. Let k(w) = 11*m(w) - 6*r(w). Calculate k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1855 - 31533\/17. What is the nearest to 6 in -5\/6, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -15, -27850 = -4*f + 4*y + 3838. Let p = f + -4021. Let d = -54681\/14 + p. Calculate the common denominator of 73\/2 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-432)*-18)\/(5\/(-60))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = -23*i + 28*i. Factor 2*v**2 + 86 - i*v + 137 - 23.\nAnswer: 2*(v - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 251530131 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 108626002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (192\/784)\/(38\/14 - 3)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuo when four letters picked without replacement from uuuuuoouuuuu.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6501.094 seconds?\nAnswer: 6501094000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1544 + -781583?\nAnswer: -783237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7771394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001 + -1010111000010?\nAnswer: -1010101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7855636 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 -6*k**2\/7 + 5438*k\/7 - 7240\/7 = 0. What is k?\nAnswer: 4\/3, 905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -111101111011011010100110 (base 2) in base 6?\nAnswer: -1335542034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -20*z + 7658. Let r = -263 + z. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75 + 4?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 293*p - 294. Let i be g(1). Which is smaller: 3\/1538 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i + 3. Let s be ((-12)\/(-10) + (-3)\/15)*-6. Calculate t(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(1836\/252 + (-2)\/7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 46*t**5\/5 - 12*t - 101. Differentiate y(v) with respect to v.\nAnswer: 184*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 2)**2 - sqrt(468)*2)*-3*-1.\nAnswer: 60*sqrt(13) + 2508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**5\/2 + w**4\/6 - 37*w**3\/6 - 9*w**2\/2 + w. Let n(q) = -q**3 - q**2 - 3*q - 1. Let h(s) = 2*a(s) - 18*n(s). Factor h(b).\nAnswer: -2*b*(b - 10)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44184 is divided by 43908?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 11 = 6*l. Let z = -3 + l. Suppose -3*t = -z - 28. Solve -o = -6*o + 3*x + t, 4*o + 12 = -3*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 8592610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwppaw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:37 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18176 is divided by 75.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/149)*z)\/(z**(-19)*z)*(((z**(-3\/35)\/z*z)\/z)\/z)**50 assuming z is positive.\nAnswer: z**(-87896\/1043)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 + 3*n**4 - 2*n**3 - 2*n**2 + 3*n - 1.\nAnswer: -(n - 1)**4*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16838 - 16431. Which is smaller: h or 410?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*(39 + 7). Let k = -15 - y. Solve -p - k = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*o, 2*r + 2*o = 0. Let a(v) = v**3 + v**2 + v + 5. Let j be a(r). Factor -2*l**5 + j*l**5 - l**4 + 0*l**5 + l**5.\nAnswer: l**4*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -52 - 137. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 1667832.\nAnswer: 20013984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1330024 (base 5) to base 15.\nAnswer: 7e79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 11*f - 84 = 0. What is the remainder when f is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 3685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*g + 165, -i - 69 = -2*g - 185. Let y = 61 + g. Solve 12 = -3*a - 4*t, a - t = -y*a + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 1:04 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513 equal to 5519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12469537.\nAnswer: 193, 64609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 11:17 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - -32) + ((-20)\/25)\/((-4)\/50).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -198, -401, -614, -843, -1094, -1373?\n\"Answer: -z**3 + z**2 - 199*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-40)\/(-15)*-4054*-3?\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*i**3 + 0 + 16\/9*i**2 + 0*i - 2\/9*i**4.\nAnswer: -2*i**2*(i - 2)*(i + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -193\nAnswer: -38.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/1063 (b) 0.1 (c) 1\/58 (d) -2 (e) -0.5 (f) 2\/5 (g) 8\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 222816, 223106, 223396?\n\"Answer: 290*c + 222526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 5. Let q = -3 + y. Is -2 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -97*j - 189. Let w be b(-2). Let k(c) = c**2 + 3*c + 4. Determine k(w).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 23*x = -51. Suppose -x*q - z - 2 = -10, 5*z = 5*q. Solve 4*j - q*j = -8, -3*j - 8 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6854944 and 3.7.\nAnswer: -25363292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 249\/166*(-20)\/(-6)*2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87899, -91597, -95295?\nAnswer: -98993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*d = 1408 + 1195 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36045604 + -210230.\nAnswer: -36255834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-14))\/(-3))\/((-26)\/(-156)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + z**2 + 60 - z - 2*z - 65. Let k be i(-2). Let j = -6 + 5.6. Which is the second biggest value? (a) -1 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -61, -98054?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4\/3 - 10*r**3\/3 - 5*r**2.\nAnswer: 5*r**2*(r - 3)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 19. What is the closest to g in -2\/21, 2, -3\/2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1eb + 4?\nAnswer: 1ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*b + 914*b - 2147 + 13363 = 0 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 76845?\nAnswer: 76843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51.954 - -52. Let d = 0.004 + v. Which is the smallest value? (a) -2 (b) d (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 2. Let a(s) = -s + s - 2*s - q. List the prime factors of a(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 11:38 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 6*n - 211 = -n, 375*t + n - 479 = -146*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from {s: 2, b: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 + 321 = -73*c - 530 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 307705, 615409, 923113?\nAnswer: 1230817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from allglabbalag. Give prob of picking 1 a and 3 l.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**3 + 2*u**2 - u + 1. Let p(y) = -7*y - 1. Let o be p(-2). Let s = 11 - o. Is k(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -47. Let h = j - -67. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 6*g**2 + 7*g + 14. Let v be r(4). Let k be ((-16)\/v)\/(1\/(-50)). What is the greatest common divisor of k and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/150*1641 - (-45)\/150. Solve g = 11*k + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01153249546 to 5 decimal places.\nAnswer: 0.01153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7680175\/19 - -404221. Solve -d*g**2 - 2\/19*g**3 - 100\/19 - 90\/19*g = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(704) - (((-1 + sqrt(704))**2 - sqrt(704)) + sqrt(704))))*-5.\nAnswer: -120*sqrt(11) + 3550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2. Suppose -24 = -3*m - 3. Suppose 2*t = -3 + m. Let n(l) = l + 3*l + 6*l + t*l. Calculate n(o(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 56*a - 483. What is the remainder when 158 is divided by s(65)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {b: 1, h: 1, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1307 - -27?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6357144 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194235.3 days to milliseconds.\nAnswer: 16781929920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q + 354 = 19*q - 4*q. Solve -72*i = -73*i - q for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*p + 71. Suppose -4*x + 0 = -p. Solve -x - 3 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*41.4\nAnswer: 16.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 20*o - 11. Let x be ((2 - 4)\/(-8))\/((-80)\/(-3520)). Let n be y(x). Which is smaller: 81\/8 or n?\nAnswer: 81\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 261628250 by -2012525.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2236 - 2230. What is the lowest common multiple of s and (-2)\/(-8) - 94\/(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3, -4*d + 1 - 5 = -2*l. Let z be l\/(-18) - 43\/9. Let g be (-11)\/z + 2\/(-1). What is the nearest to 1 in 1\/9, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -16, -3, 3, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -28*z**2 + 822*z + 5719. Calculate q(-7).\nAnswer: -1407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 20. Solve -1 + w = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.7 + -16.2. Let n = h + 11.5000098. What is n rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/11)*y**(-8)*(y\/y**(-1\/4))\/(y\/y**(-2\/11)))**(-4\/17) assuming y is positive.\nAnswer: y**(31\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2691.28533 to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -357621, -357692, -357811, -357978, -358193, -358456?\n\"Answer: -24*t**2 + t - 357598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6 + 15 = 0. Let b be -1 - (-4 - x) - -17. What is the highest common factor of b and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*5*26\/78. Let s(a) be the third derivative of 0*a**g + 0 + 0*a - 3*a**2 - 1\/420*a**6 - 2\/21*a**3 + 1\/28*a**4. Suppose s(t) = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -8, 0.1, -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -27*n**2 + 397*n + 47. Calculate k(15).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12226387 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -428902.63025879246 - 0.18482820754. Let f = -428903 - k. Let w = f - -0.185. Round w to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 34845605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f. Let q(n) = -92*n - 5. Give z(q(s)).\nAnswer: -736*s - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o + 53. Let w be t(0). Let s = w - 40. Find the first derivative of 71*f + s + 1 - 71*f + 30*f**3 wrt f.\nAnswer: 90*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o**3 + 7*o**2. Suppose 2*y + 6 = -2. Let c(g) = 62*g**2 - g**3 - 19*g**2 - 24*g**2 - 20*g**2. Determine y*a(z) - 28*c(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91 + 16*v + 117 - 35 + v)*(0 + 0 + 2).\nAnswer: 34*v - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -1\/3*k**4 + 24*k**2 + 2\/3*k**3 - 2*k - 13. Factor f(g).\nAnswer: -4*(g - 4)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54, -236, -546, -984, -1550, -2244, -3066?\n\"Answer: -64*v**2 + 10*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 2*d**3 - 15 + 14 in the form j + m*d + n*d**2 + l*d**3 and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687185 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/1 + 2660\/(-70)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*d**4 + 20*d**3 - 55*d**2 + 10*d.\nAnswer: 5*d*(d - 1)*(d + 2)*(5*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1436.6 and -28.\nAnswer: 40224.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039 rounded to 6 decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147.92 + -148. Which is the nearest to t? (a) -2\/13 (b) 0.4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 679113\/182, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17041*w + 2064 = -17084*w for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -412934, -412955, -412976, -412997, -413018?\n\"Answer: -21*o - 412913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, p: 9, q: 4}. Give prob of sequence qqkk.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3310, -28356, -96834, -230452, -450918, -779940, -1239226, -1850484?\nAnswer: -2635422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -19 (b) 2 (c) -15 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 - 4*d**2 - 2*d. Let h(z) be the third derivative of -13*z**6\/120 - 4*z**5\/15 - 3*z**4\/8 - 407*z**2. What is 2*h(b) - 9*j(b)?\nAnswer: b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6247 is divided by 5666?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13*p**2 + 1849*p + 353. What is z(-142)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3. Let q = 2267\/6 + -378. What is the nearest to q in 3\/5, u, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (4 - 20\/5). Suppose 2 + 3 = n*u. Is u >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n*p**3 + 4035714*n*p**2 - 59316246*n wrt p.\nAnswer: -6*n*p**2 + 8071428*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 + 71. Let q(x) = 14*x**2 - 283. What is 9*p(s) + 2*q(s)?\nAnswer: s**2 + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 f when three letters picked without replacement from ppppvffvp?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121.1 - -21.1. Let x = 100 + j. Let n = 0.5 - 3.5. Is x equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -15. Does 2 divide (-14)\/w - 6\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 92a442 - -357?\nAnswer: 92a799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 276 = -5*z, 2*z + 4*y + 5 - 101 = 0. Calculate the remainder when (3 - 1)*(-7)\/(z\/(-496)) is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -18*u - 9 + 15*u**2 + 2*u**2 + 29*u. Let j(t) = -8*t**2 - 5*t + 4. Give 9*j(f) + 4*n(f).\nAnswer: -4*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 8*y - 6. Let r(u) = -u**2 + 9*u - 7. What is -6*k(p) + 5*r(p)?\nAnswer: p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**5\/300 - 134*r**4\/15 + 1073*r**3\/30 - 3*r**2 - r - 1146. Factor s(n).\nAnswer: -(n - 1)*(n + 1073)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-7)\/70)\/((-20)\/(-45)*3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/4 - -3)*(1 + 4). Let i be (-215)\/b*(3*-2 + 2). Suppose -c = a - 23, 5*a + c - i - 45 = 0. What is the greatest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21391 less than 0.599301?\nAnswer: 21391.599301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 5*o**2 + 7*o - 3. Give z(4).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y = 18*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 131ca - -273?\nAnswer: 1345d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5 = -7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 + 4*x**2 + 5*x - 5. Let s(f) = f - 2. Let o be s(-3). Let r be t(o). Round r to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*g - 856 = -183*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*v - 83 = 0, 4*s + v = -s + 71. What is the remainder when 88 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*q - 2832 = -2801, -3*i - 4*q + 53 = 0. Let -1 + 4\/5*s**2 + 6\/5*s**i + 1\/5*s**4 - 6\/5*s = 0. What is s?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1083 divide 1220541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 0.02, 25, 3\/5, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 60 = -4*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 g when four letters picked without replacement from xgxxxgxxxgxgxx?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 0\/((-1)\/(-1)). Let w(j) = j**2 - j + 5. Let x be w(0). Suppose x - c = v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 106112, 106106, 106088, 106052, 105992, 105902, 105776, 105608?\n\"Answer: -m**3 + m + 106112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.244 + -2.544. Sort -0.22, 2\/11, -8, 0.5, j in descending order.\nAnswer: j, 0.5, 2\/11, -0.22, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o**5\/15 + 386*o**4\/15 + 1024*o**3\/3 + 8474*o**2\/15 + 3212*o\/15 - 544\/15 = 0. What is o?\nAnswer: -8, -1, 1\/8, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 17*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2, -319661 in descending order.\nAnswer: 35, 2, -319661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018247 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 2*s - 3*s)*(s - 3 + 3) - 5*s**2 - 2*s**2 + 5*s**2 + 10*s**2 + 2*s**2 + 15*s**2 - 5*s**2.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(243) + -2*1*sqrt(243).\nAnswer: -27*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1. Let c(j) = 2*j - 4. Determine 3*b(w) + c(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 167.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -0.4 (b) -4 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 580205741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199571900 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 97?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -851.\nAnswer: 24\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 24?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.74567 rounded to 1 decimal place?\nAnswer: -177.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 22*f - 3. Let o be s(8). Suppose 4*h + o = z, -2*h + h + 532 = 3*z. Calculate the common denominator of 5\/20 + z\/(-28) and 23\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 11876665.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*a - 4 - 9, 0 = -4*c - 2*a + 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.51 and -46?\nAnswer: 46.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18036741\/376 + -47970. Let j = -126589\/10 - -12654. What is the common denominator of r and j?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -962 + 246 - 58*j**5 - 2*j + 56*j**5 - 1 - j**5 + 1 + (2*j**3 + 3*j - 3*j)*(-4*j**2 + 0*j**2 + 3*j**2).\nAnswer: -5*j**5 - 2*j - 716","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 - 44. Suppose 0 = -2*d - 3*d + 3*y - 25, -5*y + n = -4*d. Let p(m) = -m - 1. Let j(g) = 6*g + 7. Let z(l) = -j(l) - 5*p(l). Determine z(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -486941 or -1947767\/4?\nAnswer: -486941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/4 - j**3\/2 + 14*j**2. Let f be z(4). Let d = 76 + f. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 0*w**3 + 0*w**4 + 1\/20*w**5 + 0*w - 5*w**2 + 0. Let g(i) = -3*i. Calculate f(g(q)).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -176, -349, -524, -701?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Let c(u) = u**2 + 5 + 4 - r + 8*u. Is c(-9) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6716?\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**2 + j**3 - 2*j**3 + 924*j + 36*j**2.\nAnswer: -j**3 + 25*j**2 + 924*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7 = 4*s, 10 = 15*s - 20*s. Suppose 1690 = 5*r - d*w, -2*w = -5*r + 1367 + 318. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2. Suppose 5*m - 3*m - 4 = 0. Let i(s) be the second derivative of s + 1\/4*s**4 + 0*s**m + 0*s**3 + 0. What is z(i(r))?\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/57 + (1158724\/(-38))\/(-7). Calculate the highest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.04, -0.5, -1\/4, 91, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -354535 divided by 3655\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/134 and -155\/42.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*k**3 + 2*k**3 + 3*k**3)*(3*k - 2*k - 3*k) + (-5 + 5 - 2*k)*(-3*k**3 - k**2 + k**2) - 2*k**4 - 13*k**4 + 0*k**4)*(0 + 1 - 2).\nAnswer: 11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtdedeltetzvv. Give prob of picking 2 d and 1 v.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -77, -178, -309, -464, -637, -822, -1013?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-27)*-3*((-387099)\/324)\/177.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 167 - -1137?\nAnswer: 12a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1877 divide 5685925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 32 + 6. Let r = 47 + c. Suppose 0 + 3 = 5*z + 3*x, 2*z + x = 2. Solve r - z = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Let l(t) = 90*t**2 + t. Let x be l(d). Let m = -643 - -656. What is the highest common divisor of m and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2438*p*s*v - 2709*p*s - 2*s*v with respect to v.\nAnswer: -2438*p*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, f: 9, w: 3}. What is prob of sequence fwf?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/12*(-1 - (-8 + 5)). Which is the nearest to -2\/3? (a) u (b) 0 (c) -1.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**5 + 7520*s**4 - 2834970*s**3 + 5557340*s**2 + 31110175*s - 33840060 = 0.\nAnswer: -3, 1, 4, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -9. Suppose -x + p*x = -45. Let k(f) = -4*f - 2. Let a be k(-5). Calculate the greatest common divisor of x and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100111 - 211210?\nAnswer: -2012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + 0*j**3 - 5*j**3 + (-10 + 10 + 4*j**2)*(-4*j + 5*j + j) + j**3 - 3 + 3 + 2*j**3 - j**3 + j**3 - 6*j**3 - 2*j + 2*j**3 + 3*j**3.\nAnswer: 8*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.970734 and -0.1081905.\nAnswer: 0.8625435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -1883\nAnswer: -9415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 10) to base 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 4:24 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 24 = 5*r, 33*r - 16*m = -15*m + 128 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/(30\/(-940)). Let b = -15 + h. Factor 2\/3 - 2*v + 2*v**2 - b*v**3.\nAnswer: -2*(v - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -83 + a?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7402731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/7))**(-24) assuming i is positive.\nAnswer: i**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -673*b**2 - 670*b**2 + 1340*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 66188 + 22484 = 0. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaabdooaoaaa. What is prob of sequence od?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 11*v**3\/6 - 3*v**2\/2 - 5*v. What is the tens digit of t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 3:49 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 21*u. Let p(z) = -36*z**2. Give v(p(w)).\nAnswer: -756*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from {a: 2, x: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160066 is divided by 53348.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -25. Suppose 0 = 7*z - 11*z + a. Solve w = -z*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**24\/p)\/(p**6\/p*p)*(((((p*p**(-19)\/p*p*p)\/p)\/p*p)\/p*p)\/p*p)\/(p\/((p**(2\/49)\/p)\/p*p)))**(-42) assuming p is positive.\nAnswer: p**(870\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-45))\/((-2)\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 394*b - 1754, -2*m - 4*b = 2*m - b - 1324 + 1093 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5976 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -7) + (-976)\/144 + 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2464*c**3 + 2*c - 25967. Let m(g) = -1231*g**3 - g + 12984. Let s(w) = -3*l(w) - 7*m(w). What is the first derivative of s(v) wrt v?\nAnswer: 3675*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 148424 or 2?\nAnswer: 148424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9834 - 82.9514. Let z = -0.032 + j. Let u = z + 82.00000113. Round u to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/462 and 61\/12653520.\nAnswer: 88574640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-6)*70\/21. Suppose 6*j - 23 = -f. Suppose -3*c = -6*c + j*q + 8208, 5*c = 4*q + 13685. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 13, 6, 29\/21, 0.1, -1\/3, -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/5152772?\nAnswer: -5\/5152772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -802, 2, -82 in descending order.\nAnswer: 2, -82, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(1\/7)*o)\/o)\/(o*o*o**(-16)\/o))**(-21\/2))**(1\/50) assuming o is positive.\nAnswer: o**(-159\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-21) + 3496\/84. Let y = k + -41. Let i = 4.9 - -1.1. Which is the closest to y? (a) 0.5 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9063 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 4, 3\/44, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 3*q - 2*q + 0*q - 11. Let v be f(7). Suppose -2*x + 4*j = -292, -6 = 3*j + v. Calculate the greatest common divisor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**10\/1260 + d**6\/72 + 4*d**3\/3 - 3. Let a(x) be the third derivative of b(x). Find the third derivative of a(k) wrt k.\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 6:07 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 378*q - 536*q + 6162. Calculate the remainder when 3157 is divided by q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 3 (c) -5 (d) 192\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -2*m - 3*m. Let z be -40 - ((-3 - -2) + -1). Let r = m + z. Solve 0*w = w - r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p - 2. Let h be w(2). Let i be (6 - 4)\/((-4)\/h). Let t(l) = -l**2 + 5*l + 2. Give t(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9311 + -8647. Which is bigger: v or 2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -1 (c) 2\/9 (d) 3.274 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -295005*g**3 + 2*g**2 - 2*g + 1. Let k be m(1). Let u be k\/(-5) + 44\/(-55). What is u rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -a + 29. Let t = -8 + a. Let -x**3 - 44*x - t + 24*x + 23*x = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3208 = -5*s. Is s a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3576 is divided by 587?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + 35\/15. Find the third derivative of -4*m**2 + 0*m**2 + 5*m**s + 2*m**5 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - i + i - 2*i + 0*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 8*z - 6. Let d be g(9). Differentiate -6 - d + 2 + 2 - 4*v**2 with respect to v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(7 + 85\/(-15))\/(-4). Let v = -18068\/27 + 669. Let r = 1\/54 + v. What is the nearest to r in s, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-30) - (-2)\/5. Let q = 219504 + -219507. Put k, 11\/3, q, -1\/3 in descending order.\nAnswer: 11\/3, -1\/3, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.00591 minus 185006?\nAnswer: -185007.00591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16325.5 + 16325. Sort -4, z, -9, -7, 1\/5 in descending order.\nAnswer: 1\/5, z, -4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000748278 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1748, -3513, -5290, -7085, -8904?\n\"Answer: -f**3 - 1758*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -787*b - 164 = 4*j - 789*b, -2*j - 3*b - 90 = 0 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 20 - 20. Which is the nearest to 2\/3? (a) l (b) 13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053))**2*-1 - (2*sqrt(13) + 5).\nAnswer: -1058 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 15\/17832812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 - 126. Let p(l) = 2*l. Let j be p(1). Suppose 2*n = 2 + j. Solve 2 = -d, 2*s - d + n = c*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 117 + -2055?\nAnswer: -1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 28*z - 2592. Calculate t(91).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 3*d - 10, -24001 = 2*d - 24021 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 227 and 35.\nAnswer: 7945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*x + 83*x - 26*x + 3955 + 5267 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 15283, 1 in ascending order.\nAnswer: -4, 1, 5, 15283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 2)*-2 + sqrt(343))**2*-6.\nAnswer: -2154 - 336*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*sqrt(1368) - 2*sqrt(1368))\/(4*(sqrt(32) - 2*sqrt(32))))**2.\nAnswer: 15*sqrt(19)\/4 + 1771\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkgg when four letters picked without replacement from {k: 2, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -25*v + 22. Let h(t) = -4*t + 1. Give -2*h(q) + x(q).\nAnswer: -17*q + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(153) - 6*(sqrt(153) + (sqrt(153) - (sqrt(153)*1 + sqrt(153)))) - 4*1*sqrt(153))\/(sqrt(9) + (-3*sqrt(45))\/sqrt(5) - -1*(sqrt(324) - sqrt(9))).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k*l*x**3 + 3*k*l*x**2 + 14*k*x**3 - l*x**2 + 2*x**3 + 136*x wrt k?\nAnswer: -l*x**3 + 3*l*x**2 + 14*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1862?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(272)*-2 + -1.\nAnswer: -8*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/185 (b) -0.24 (c) -0.1 (d) 0.07 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/(-15)*(-5)\/(-27). Let w = 2\/81 - g. Let f = 216\/5 - 43. Put w, 0.4, f in descending order.\nAnswer: w, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -72*q - 622. Let c be b(-12). Solve 245*l = c*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/40 and -35\/176.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*y**3 + 22*y**3 + 27*y**3 - 88*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 2*r + 3*r)*(5 - 3 + 1)*(0 - 2 + 0)*(6 + r - 6)*(0*r**2 - 2*r**2 + 0*r**2).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -2)*(-23 - 20). Calculate the common denominator of 1484\/(-330) + h\/(-645) and -79\/96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 80\/(-25)*25\/10. Let j be (116\/t)\/(-1*(-2)\/128000). What is j rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 15775922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257596?\nAnswer: 2, 64399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*k + 3*k = -1781826 + 321524. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*o = -53*o + 3880 + 7778 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 - -52. Let p = 21.3 + k. Let q = -30 - -59\/2. Is q equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1916 and -3.0939?\nAnswer: 5927.9124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2140, 3, 11174 in descending order.\nAnswer: 11174, 2140, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -0*a + 2*a + 2*w, -4*a = 5*w - 59. Let r be 0*(1 + 2\/(-4)). Let g = a + r. Solve 1 = 3*q - g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1206 by 364.\nAnswer: 603\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/565 - -1168\/10735. Let b = -73176\/11 + 512210\/77. What is the closest to -0.5 in b, 0.4, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 124427*(-3)\/6*2. Let b = s - -40427. Round b to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**3 + 32*h**2 - 80*h = 0.\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -583 + 591. Calculate the lowest common multiple of 164 and j.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8602633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1163 - -3876. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-30)*(-10)\/8. Let x = 0.039 - 0.439. Which is the second biggest value? (a) x (b) f (c) 3\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 + 34 = 28*p - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 64720 = 4*s, 79*k - 77*k + 48543 = 3*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 0*q + 3*q + 2*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 63 = 3. Let a be 4\/22 + (-2808)\/(-44). Let x = a + -35. What is the remainder when x is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/284 and -59\/20?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 6:52 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123\/40 + 35\/8. Let w = -22\/59 - -1812\/4543. Let z = w + -3623\/154. Calculate the common denominator of i and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07502 != 447\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.03, -14\/55, -10, 1, 3\/2?\nAnswer: -14\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from -27.34.\nAnswer: -27.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 57\/5, 0, 5 in increasing order.\nAnswer: 0, 5, 57\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 123 = -12*d, -4*f - 136 + 89 = 3*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 19*j - 664. Let n be l(35). What is the closest to 1\/2 in 1\/6, -0.2, 4\/5, n?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(((t**1\/t*t)\/t*t)\/t))**33\/(((t*t\/(t\/t**(-3\/4))*t*t)\/t)\/t*t**(-12)*t) assuming t is positive.\nAnswer: t**(307\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -19, 4\/53359, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30438707 is divided by 10840?\nAnswer: 10827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2162 is divided by 113.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 235 + 115 = 0. What is the greatest common factor of h and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5668009 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11700 + w**2 + 6361 - 18061.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y**6 + 6*y**5 - 6971*y**4 + 816470*y**2 - 8?\nAnswer: 360*y**3 + 360*y**2 - 167304*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*c**2 + 13*c**2 - 9*c**2)*(-1 - 5 + 3)*(2*c**3 + 0 + 0).\nAnswer: -108*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2 + -2 + sqrt(2299))**2 - ((sqrt(2299) + 0 - sqrt(2299)) + 4)**2).\nAnswer: -11415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14095765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.448662 months to centuries.\nAnswer: 0.002873885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.179t in grams?\nAnswer: 807179000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -12, -3, 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:47 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -293 in increasing order.\nAnswer: -293, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - 292\/(-16). Let v(x) = 2*x**3 + 6*x**2 - 2*x + 4. Let k be v(-3). Let y be 58\/k + (-4)\/(-20). What is the highest common divisor of y and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 2*q**2 + 11*q - 1 - 3 - 15*q + 2. Does 3 divide o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/4*45232\/(-7196).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.19981169 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237984, 237985, 237986, 237987?\nAnswer: 237988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 925\/5 + (1 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.51*-0.1\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -9. Suppose -3*k + c = 3. Let s be 2 + -2 + 2\/(-7). Which is bigger: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19473223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21484078 divided by -139507?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9*3 + (-12)\/(-2). Suppose t - 5 = f. Calculate the remainder when 104 is divided by ((630\/(-12))\/(-5))\/(f\/(-2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 = 5. Suppose 2*h + 2*x + 11 - 731 = 0, -u*x - 1080 = -3*h. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35248.28*0.3.\nAnswer: -10574.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 9*v**2 - v + 13. Calculate the remainder when 6 is divided by p(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -215\/1008 - 1\/112. Suppose -3*h + p + 3 = 18, 0 = h - 4*p + 16. Let x be 6\/h*(-8)\/(-6). What is the closest to -1 in x, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2. Let j(h) = 346 + 2*h - 346. What is n(j(y))?\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-1\/3))**(-22)*s*s**3*s*s**(-5) assuming s is positive.\nAnswer: s**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snqn. Give prob of sequence qns.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 31 (b) -0.87 (c) 3 (d) -5 (e) -3 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -34*h**2. Let g(c) = -1446*c. Calculate g(p(w)).\nAnswer: 49164*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10025796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0740256672 from 852140.\nAnswer: 852140.0740256672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1401 = -188. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose -2*i - 32 = -2*p, -4*p + 9*i - 4*i + 68 = 0. Suppose x - p = -g*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 - 8*r**2 + 5*r - 7. Let w be g(5). Let x = w + -1347\/7. Let t be (-1)\/(-6) - 9\/54. Is x != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 + 23782*s + 23784*s + 23790*s + 23789*s - 95145*s.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.4. Which is the nearest to 8? (a) 1\/3 (b) 0.5 (c) k (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:49 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 9*s + 20. Let z be p(-6). Solve z*n = 4*k + 2 + 20, 5*n = 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1418521*s - 312 - 1418519*s + 3*s**2 - 329*s**2 wrt s.\nAnswer: -652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((((-1*sqrt(504))\/sqrt(8))**2 + -4)*-1 + -1).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 32*y - 30*y. Suppose -12*a**y - 20*a**2 - 7*a - a + 17 - 17 = 0. Calculate a.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 24*u - 17. Let z(o) = 21*o - 14. Let m(r) = -3*h(r) + 4*z(r). Let f(g) = 13*g - 6. What is 3*f(n) - 4*m(n)?\nAnswer: -9*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 335287, 1341151, 3017591, 5364607?\n\"Answer: 335288*o**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1140 and -73\/9606210.\nAnswer: 19212420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 921317102, 921317103, 921317104?\nAnswer: 921317105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*m = -5063 + 14135 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 113*u**8\/6 + 239*u**5\/15 - 10*u**2 - 3*u + 7. What is the third derivative of d(n) wrt n?\nAnswer: 379680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 - -123. Let o = -3.093 - 0.007. Let l = o - -0.1. Sort l, 2\/9, i in decreasing order.\nAnswer: i, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/((-1)\/6*6*-1). Let u(h) = h + 2. Calculate u(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-18))**(-50)*c*c\/(c\/c**(4\/9))*c*(c*c*((c\/c**(35\/2))\/c)\/c*c)\/c assuming c is positive.\nAnswer: c**(15947\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4198585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1097\/8648 + -2\/1081. Sort -0.1, c, 33\/2, -0.2.\nAnswer: -0.2, -0.1, c, 33\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 925000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -93*p**3 + 5*p**2 + 3*p + 4. Is 57 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 + 2*t**2 - 2*t + 5. What is the tens digit of u(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 31880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u - 2982 = -2963 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -182, -270, -360, -452?\n\"Answer: -d**2 - 85*d - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 403 - 404.91. Let k = 2 + t. Let p = -3.09 + k. Which is the smallest value? (a) -0.3 (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -33*q**5\/10 + 65*q**4\/6 + 8*q**2 + 5. What is the second derivative of a(b) wrt b?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 12, -4 in descending order.\nAnswer: 12, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49444 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 3:59 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -16, 51 in ascending order.\nAnswer: -16, -10, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o. Suppose -5*f = 5*w - 25, -4*f + 2*w + 19 + 31 = o. Calculate the highest common factor of 15 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 6544*b**2 - 112236*b - 277704.\nAnswer: 4*(b - 1653)*(b + 3)*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49, -51, -55, -61, -69, -79, -91?\n\"Answer: -i**2 + i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 4)*(2*c - 2*c**2 - 2*c + (1 - 2 - 2)*(c - c - 2*c**2)) to n*c**2 + j*c + w and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.49282 or -2?\nAnswer: 5.49282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.138 * 0.25.\nAnswer: -0.0345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2190, -4173, -6156, -8139?\nAnswer: -10122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -743 and -771.\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3351, 1513, -5519, -17745, -35165, -57779, -85587?\n\"Answer: -2597*r**2 + 5953*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -16*v**7\/21 - v**4\/4 + 4*v**3\/3 + 99*v. What is the third derivative of o(c) wrt c?\nAnswer: -1920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Suppose 3*k + 2*p - 29 = 0, 0 = 3*k + 2*p - 5*p - 24. Let j be (30\/k)\/(-5)*-6. Let f(v) = 7 - 3 + 5*v**2 - j. Give g(f(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2*6)\/(sqrt(9) + -2*(sqrt(9) + sqrt(36))).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - ((-16)\/(-6))\/1. Let t be 0 + (-8)\/(-12) + 3\/(-9). Which is the second biggest value? (a) m (b) -8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158421 is divided by 276.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 17*i**2 + 3*i - 1. Let l be p(1). Solve -16 = 3*z - l*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-157 - -39) + (34 - 10) + 25.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 10. What is the tens digit of q\/(-12) - (-160)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749754439 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {b: 4, j: 3, r: 2, q: 3, i: 4, o: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + -10. Let i = -164\/9 - p. Which is the third smallest value? (a) -0.1 (b) 1\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + j + 38. Suppose -5*f = -7*f. Let i be n(f). Suppose 25 = -5*l, 4*h + 2*l - 4 = i. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*o**2 + 25*o**2 + 0*o + 0*o as p + t*o**2 + c*o and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 16 = 3*n + 6, -3*h = -3. Suppose 3*k - 4*f + 436 = 0, k + 2*f + n*f = -124. Is 4\/6 + k\/(-6) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Let q = 3 - 0. Suppose -4*b = -q*m - 36, -4*m - 22 = -3*b - 3*m. Solve 4*f = g + 3*g - 4, b = -j*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 8.00000038. What is f rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36 - 36 - 4*f**2 + (1 - 1 - f)*(2*f + f - 4*f) - 8*f**2 - 6*f**2 + 9*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - n**2 + n**2)*(3 - 4 - 1) + 2*n**2 + n**2 - 2*n**2 + 22*n - 49032 + n**2 + 76*n + 49031.\nAnswer: 4*n**2 + 98*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 29 - 33 = 0. Let s(b) = 7*b - 5. Let h be s(f). Suppose -4\/7*i - 6\/7*i**h + 0 - 2\/7*i**3 = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-10)*(-4985)\/8973.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opxoo. Give prob of picking 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Let z(l) = -219*l**2 - 249*l**2 - 101*l**2 - 39*l**2. Determine z(x(u)).\nAnswer: -608*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168285 = 970*j + 793*j + 36060 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 - -226. Suppose -5*g - 21 = -5*y + 104, -k = -5*y - 3*g. Calculate the remainder when (-5)\/(50\/28)*-25 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 164 - 6034336?\nAnswer: -6034142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -558 - -1250. Suppose -16*u - c = -7204. Suppose 0 = -3*r + 2*r + 37. Calculate the highest common divisor of r and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36210404 by -4.\nAnswer: 9052601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 679*p**3 + 3*p**2 - 2*p + 0*p**2 - 1353*p**3 + 2 + 2*p**4 + 0*p**2 + 672*p**3 to r*p**2 + x*p**4 + w + k*p + v*p**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Suppose 0*h + 4*h + d = 46, l = -d - 2. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51 or -0.147215?\nAnswer: -0.147215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3087232 - -4?\nAnswer: 3087236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3088002*k**4 + 2623475*k**2?\nAnswer: 74112048*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 6, -3*i + u = -9*i + 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 712741, 712675, 712567, 712417, 712225?\nAnswer: 711991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018955765.\nAnswer: 5, 37, 67, 82207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/198)\/(760\/(-4788)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 + 97. Which is the second biggest value? (a) 1\/4 (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.13 + -0.13. Let u = -6 - -8. Let z = q - u. Which is the nearest to 0? (a) 1\/2 (b) z (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(38\/96*-2). Let y be (-447)\/19*21\/(-45). Let z = c + y. What is the common denominator of -40\/7 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1233, 10, -1.\nAnswer: -3, -1, 10, 1233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, w: 2, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1407 and 8499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.12 - 1.12. Let r = 37 - 45.9. Let o = r + j. Which is the smallest value? (a) 5 (b) 3\/4 (c) o (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -649, -1271, -1863, -2419, -2933, -3399, -3811, -4163?\n\"Answer: f**3 + 9*f**2 - 656*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 406, 1, 283, -2 in ascending order.\nAnswer: -5, -2, 1, 2, 283, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 460\/(-69)*-98*(-735)\/20. What is w rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-6)*4\/(-4762). Let r = -3345299\/14286 + m. Let h = r + 237. What is the common denominator of h and -5\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 + 6*w - 5. What is the tens digit of u(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.061802 months in years?\nAnswer: 1.3384835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*d + 131*d. Solve 5*m + d*m - 14 = -s, 3*s - 22 = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.624 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-15)*-3*245\/196\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -6.4, -150.6 in descending order.\nAnswer: 2\/5, -6.4, -150.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -3, 3\/76, -0.4?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 717805 and 3980555?\nAnswer: 43786105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 28 - 106 + 28 + 29 + 23 + u**3 - 12*u**2. Let f(i) = 3*i**3 - 35*i**2 + 4*i + 7. Let g(a) = -4*f(a) + 11*x(a). What is g(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -124 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 8:33 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 51\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 422064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + n = 954, -756 = -6*q + 2*q + n. What is the remainder when q is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5783171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -2, -1 in increasing order.\nAnswer: -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 14*s + 35. Give h(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -9.3. Which is the nearest to -3? (a) 2\/7 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10, w: 3, x: 4, s: 3}. Give prob of sequence xswx.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and (-17)\/(-5) - (-6)\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 1. Let y be j(2). Let d = 3 - 4. Let w be 28\/(-42)*15\/(-2). Sort w, d, y in descending order.\nAnswer: w, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkkfkkkfkfkkkkkf. Give prob of picking 1 f and 2 k.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 231351?\nAnswer: -231345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w. Let g(j) = 29*j + 259. Let f(u) = -24*u - 258. Let k(x) = -6*f(x) - 5*g(x). Calculate k(a(b)).\nAnswer: -7*b + 253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46892 + 127029. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -73*w**2 - 4*w. Let b(q) = 37*q**2 + 2*q. Let m(i) = -11*b(i) - 6*g(i). Is m(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(242))*-4)**2 - 5*(-5 + sqrt(8)*-2)**2.\nAnswer: 152*sqrt(2) + 3603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 0*4\/12. Let l be 1 - (-9 - -2)*w. Solve -2*v + l = -x - 6*v, -2*v = -x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, q: 3, i: 2}. Give prob of picking 2 q and 1 i.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2. Let v(p) = -2*p. Calculate i(v(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**5\/3 - 1648*k**4 + 19756*k**3\/3 - 29624*k**2\/3 + 6582*k - 4936\/3 = 0?\nAnswer: 1, 2468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2274 - 2*k + 2410 - 4528)*(7*k**3 + 19*k**3 - 8*k**3) to the form z*k**3 + m*k**4 + g + h*k + s*k**2 and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5040.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26.55114 years?\nAnswer: 318.61368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbxxeqxqxxjxxqqqq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11671 and 8?\nAnswer: 93368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -82. Let x = 0.09 + -0.09. Let w = 0 - -4. Which is the nearest to x? (a) -5 (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/(-70) + 2\/7 - (-13888)\/7440.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19879351?\nAnswer: 61, 325891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(((-525)\/(-30))\/(-7) - -1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.08 (b) 1\/4 (c) 1\/12 (d) 0.045 (e) -5 (f) 786\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-5335)\/1358)\/((-3)\/147).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 30 - 1458. Let i = q + 274. What is the remainder when 114 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2259 - -4237. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -28 - (86 - 85).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12747*p + 9704*p + 3053*p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -5, -0.1, 2 in ascending order.\nAnswer: -5, -0.1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-11) + 2 + (-16 - 28120\/(-440)))\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 0*s + 0*s - 2*s. Let p(m) = 58 - 17 - 26 - 17. Let y(f) = -f**2 + 1. Let t(n) = -p(n) - 2*y(n). Give t(v(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 12 = 30*h. Solve -h*l = 2*m - 6, -l - 3*m - 3 = -4*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -482 + 0 - (31 + -23). Let v = w - -573. What is the remainder when v is divided by 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39428.\nAnswer: 2, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3)\/c)**(1\/75)\/(c**8\/c**(-1\/2)))\/((c**(1\/2)*c)**(-1\/31)\/((c\/c**4)\/c**8)) assuming c is positive.\nAnswer: c**(-135799\/6975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 967009, 1, 3 in decreasing order.\nAnswer: 967009, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 5) to base 3.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75494 not equal to 75494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*j - 50 = 0, 456*p = 458*p + 5*j - 30 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11) - (3 + (sqrt(11) + -1)**2)).\nAnswer: -10 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 12 + 6 = 0. Let j(f) = -55*f**3 + 2*f**2 + 5*f + 2. Is j(s) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36851 + 4753829\/129. Does -1 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96074038?\nAnswer: 2, 17, 97, 29131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94123968 and 13056?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22020 (base 3) to base 10.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v**2 - 13124*v + 12860256 = 0. What is v?\nAnswer: -9832\/5, 654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cciiciiim. What is prob of sequence ccc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*k - 60, 0 = -3*k - 8*a + 3*a + 64. Suppose 4*p - p = -k. Let u(y) = y**2 + 4*y - 6. What is u(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156117 + -27524. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17, 8, -23, -88, -199, -368, -607?\n\"Answer: -2*a**3 + a**2 + 2*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 3:52 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*l**4*t + 2*l**4 + 659*l**3 - 2*l**2*t - 14310*l*t wrt l.\nAnswer: 1008*l*t + 48*l + 3954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*p + 10*p - 60 = 0, -3*p = -2*g - 30. Let q be 6\/g + 48\/20. Solve 8 = 5*x - q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 - 11502*r + 5 + r**3 + 11503*r + 2*r**2 as v + c*r**3 + s*r**2 + w*r and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5068 and 24?\nAnswer: 30408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 2) + -1*-1*3. Let n = -44 - -10. What is the units digit of b\/6 - n\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -224 (b) 2\/85 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27 + 3452\/306 + (-14487)\/1317?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 14 = 5*o - 4*n, -11 = o + 3*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95475097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 33227835?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3747 + 3749. Solve 0 = -r*v + 150*b - 145*b - 21, 2*v + 3*b - 3 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + n + (1 - 4 + 1)*(4*n + 3*n - 5*n) + n - 4*n + 0*n)*(1 + 2 - 6)*(19*n - 3*n - 3*n).\nAnswer: 234*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19362345529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 417.6047ml in litres?\nAnswer: 0.4176047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 16550*z - 1754284. Calculate l(106).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4650 by -155.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 126, 151, 180, 213, 250, 291, 336?\n\"Answer: 2*b**2 + 19*b + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 10. Calculate c(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(6\/(-3))*1. Let c = 23 + 15. Suppose d*k + k + c = 2*v, 5*k = -4*v + 11. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991006?\nAnswer: 2, 17, 31, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 99*w - 60. Let m be j(-50). Sort m, 1, 0, -3 in decreasing order.\nAnswer: 1, 0, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128b15 (base 12) in base 5?\nAnswer: -34240404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10025254310 - -5?\nAnswer: 10025254315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 207 - 32?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 172399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428495?\nAnswer: 5, 43, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15381487\/7 or 2197356?\nAnswer: 2197356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 88\/16 + (-2)\/(-4). What is the derivative of -6 + 3*w**2 - 5*w**2 + 7*w**2 - k*w**2 wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57389 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 16 - (-6)\/18*3. Solve 0 = -2*y - 2*a + g - 16, -y - 6 = 2*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxqqvvqqxqqq. Give prob of sequence xx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 41. Suppose f - t = -4. Suppose 3*w + m + 14 = 0, -4*m - 18 = 2*w + 8. Which is the third biggest value? (a) -3\/5 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (60\/36)\/(3\/(-9)). Sort 1, -4, 2, a in increasing order.\nAnswer: a, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/3 - 14*c**3\/3 - 8*c**2 + 8*c\/3 + 32\/3 = 0. What is c?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1062*-6.6\nAnswer: -7009.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2\/187487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 23*j**6\/30 - 10*j**3\/3 - j**2 + 3*j + 27. Find the second derivative of a(s) wrt s.\nAnswer: 276*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*o - w + 3*w, -2*o - 5 = -5*w. Let p = -26170.2 - -26170. Which is the second biggest value? (a) -5 (b) o (c) p (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 - -156.8. Let c = -0.4 + -0.1. What is the closest to -1 in c, -4, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + x**2 - 164*x**3 + 154*x**3 - x**2 as v*x**3 + b + i*x**2 + k*x and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/33)*p)\/p**(5\/6) assuming p is positive.\nAnswer: p**(7\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**4 + 1926*i**3 + 309120*i**2 - 1926*i - 309123 = 0. Calculate i.\nAnswer: -321, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n**3 + 2*n**2 - 4*n + 6. Let h be y(4). Let x = -119 - h. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -88, -9 in decreasing order.\nAnswer: 2, -9, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5.8. What is the second smallest value in -2\/5, -2, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.5 + 3. Let z be (-5)\/(-2)*(-176)\/3740. Let q = 0.04 - -1.96. What is the nearest to -0.1 in z, a, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -4, 6.\nAnswer: -6, -4, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 92 = b, 2*b + 4*x - 55 = 119. Let z = b - 103. Let u(w) = -w**2 - 6*w - 5. Determine u(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -554577*q + 6100349. Give l(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 886 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: b\"What is the ath term of 48068, 96135, 144200, 192263?\n\"Answer: -a**2 + 48070*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/((sqrt(900) - sqrt(900)*-1) + sqrt(9)).\nAnswer: sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -9708195?\nAnswer: -9708204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2944755 and 3025.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/13935 and 43\/3762450.\nAnswer: 3762450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 42 = -3*g, -5*g + 4*c = 8*c - 75. What is the tens digit of (-238)\/(-3)*(22 - g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -482, -748, -1014, -1280?\nAnswer: -1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Let t(j) = -j**3 + 3*j**2 + j + 9. Let m be t(4). Sort 5, m, u in descending order.\nAnswer: 5, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 4*r**2 + r - 7. Let f be g(5). Let v = -19 + f. Suppose -b + 5*x = -21, -b - 6 = -v*b - 4*x. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21600184 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847 is divided by 168.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 31812, -1 in ascending order.\nAnswer: -3, -1, 31812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1738659*t - 1738681*t - 1386 = 0 for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/12)*s*(s**(-1\/7)*s)\/s)\/((s*s**(-4)*s*s)\/(s\/(s*s**(2\/5)*s)))*(s**2*s*s**(-7\/6))**15 assuming s is positive.\nAnswer: s**(11777\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*b**2 + 20*b**2 + 11*b**2)*(4*b**2 - 2*b**2 + b**2) to p*b + f*b**4 + i*b**2 + r + o*b**3 and give f.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1370520*p + 2957646?\nAnswer: 1370520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 36. Let i be h(16). Suppose i*d - 200 = 1580. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - sqrt(360)*-2 - 4*sqrt(40)*1)\/((-1*sqrt(16))\/sqrt(2) + sqrt(56)\/sqrt(63)))**2.\nAnswer: 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgl when three letters picked without replacement from gllllglgllll?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.033593 (b) 1 (c) -1\/6 (d) -4 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4938*q + 1766*q + 1137*q to d*q + r and give d.\nAnswer: 7841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11056.7 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**(3\/7)\/d)\/d)\/d*d\/d**(-1)*d)\/(d**(-3\/2)\/d**(5\/6))*((d**2\/d)**29)**32 assuming d is positive.\nAnswer: d**(19567\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p. Let w(t) = 0 + 0 - 14*t + 24*t. Let k(h) = 12*c(h) - w(h). Let l(n) = 4*n - 4*n + n. Calculate k(l(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z**3 - 2*z**2 + 3*z - 4. What is the remainder when b(2) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/125580 and 17\/16146?\nAnswer: 1130220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -0.3, 0.2, -145, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1456*u - 828*u - 630*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*q**2 + 6*q**2 - 3*q**2)*(6*q - 6*q - 3*q**2) - 3*q - 4*q**4 + 3*q to u*q**3 + g*q**2 + m*q**4 + v*q + s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 6 = -a, 0*a - 3*l - 10 = -a. Let z(b) = 26*b**3 + 16*b**2. Let m = -15 + 18. Let w(o) = -5*o**3 - 3*o**2. Give a*w(g) + m*z(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 5*w**3 - w + 2*w**3 + 3*w**3 + 16*w**3.\nAnswer: 16*w**3 - w + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*v + 1276 = -313*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**6\/40 + w**5\/20 - 4*w**2 - 2*w. Let n(q) be the first derivative of k(q). Solve n(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 53c?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159*(-3)\/(-9) - (1 - 0).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 6 - 1 - (1 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0493197644 to 6 dps.\nAnswer: -0.04932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**4 - 316*z**3 + 1752*z**2 = 0. Calculate z.\nAnswer: 0, 6, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1249 - 2535. Let q = f - -6433. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 189*g - 187*g - 5*q - 205, -g + 115 = -5*q. What is the greatest common divisor of g and 1125?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130)\/4485)\/((-2)\/(-6))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*f + 305845 - 303883 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 457504600 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112 at most as big as 398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 1:39 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 357667 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - ((14 - 33) + 0)) + 2 + 61\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i**3 + i**2 + 4*i - 5. Let r be t(1). Let j(h) = -31*h**3 - 5*h**2 - h - 3. Let n(f) = -47*f**3 - 8*f**2 - 2*f - 5. Determine r*j(c) + 5*n(c).\nAnswer: 13*c**3 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6713*v**2 + 37*v + 26 wrt v.\nAnswer: 13426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/44)\/((-25)\/100)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 - 14*k**3 + 14*k**3 + 74*k**4 + 134*k**2 - 5 + 7 wrt k?\nAnswer: 1776*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -271362322.5 from -45882.\nAnswer: 271316440.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**2 + 75*f = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -236*u**2. Let r(k) = -8*k + 18. Let n(s) = -7*s + 15. Let t(m) = -6*n(m) + 5*r(m). Calculate f(t(d)).\nAnswer: -944*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 31*u + 27. Let r(x) = 2*x**2 + 68*x + 56. Let l(p) = 5*f(p) - 2*r(p). Determine l(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -256801 + 0?\nAnswer: -256801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**4*v + 12105*h**4 + 494*h + 408*v - 23105 wrt h?\nAnswer: 4*h**3*v + 48420*h**3 + 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 991, 2252, 4017, 6286, 9059, 12336?\nAnswer: 16117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2. Let v(l) = 2028866*l**2. Determine f(v(b)).\nAnswer: -12348891737868*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -7*r + 3160. Suppose -r = s - 492. Suppose -113 = -5*d + k, -57 = -3*d + k + 12. What is the highest common divisor of s and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/(-27)*(90\/24)\/(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-5))\/((0 - -1)\/(1 - -4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78559\/74 - -1063. What is the common denominator of f and 43\/24?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*g + 7, 3*m = 7*g - 3*g - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (h + 3 - 3)*(1 + 7 - 23) + 121*h + 34 - 34 as v + a*h and give a.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 6*s**2 + 6*s - 1. Let m be o(5). Suppose -m*t + 64 + 24 = 0. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3*(-684)\/532. What is the biggest value in x, -0.2, -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 789.5 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(85)*2*5)\/(sqrt(720)*1) - ((1 + sqrt(68))*-1 + sqrt(68))**2*-2).\nAnswer: -1 + 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-135)\/8*(-10)\/(-15). Let p = -13 - s. Which is smaller: p or 2\/53?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/40 and 37\/890.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1368*s + 1363*s + 5*q = 55, -23*s + 2*q + 1 - 35 = 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406773 (base 8) to base 11.\nAnswer: 92190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/4)\/(50\/1420). Solve g*w - 84*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3141 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 3*v**2 + v + 1. Give i(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:07 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9129663 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccleww. Give prob of sequence lcw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -555\/8 (b) 3 (c) 22 (d) 0.191 (e) -4\/5 (f) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2\/21, -1.7, 5, -8464?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (27\/(-6))\/(6\/(-8)). Let n be r + -4 - (-2)\/(-6). Factor 1\/3 + 5\/3*w**4 - 10\/3*w**3 + 10\/3*w**2 - n*w - 1\/3*w**5.\nAnswer: -(w - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13))**(7\/5) assuming v is positive.\nAnswer: v**(14\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1293211117 + 40*b - 1293211117.\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/5 - 5721056*v\/5 - 11442096\/5.\nAnswer: -4*(v + 2)*(v + 1430262)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1965965 divided by 29.\nAnswer: 1965965\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.932 - 103.668. Let l = -114 - i. What is l rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156465 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -190010, -189696, -189384, -189074, -188766, -188460?\n\"Answer: -g**2 + 317*g - 190326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*t = 402*t - 268*t + 2800 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 754, 1615, 2476, 3337?\nAnswer: 4198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.247 + 9.447. Let l = t - 9. Sort l, -7, 3 in descending order.\nAnswer: 3, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3257\/7 - 465. Sort d, -1\/5, 1\/4, 6\/13 in increasing order.\nAnswer: -1\/5, 1\/4, d, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -337132.9 to the nearest one thousand.\nAnswer: -337000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1687 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(468) + -5 - (-4 + sqrt(468) + -1)**2).\nAnswer: -2485 + 330*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(-2 + 4*v + 2) + (0*v + v + v)*(2 - 5 - 5) + 8*v + v + 5*v as k + w*v and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12194 >= 280437\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*k - 7*k. Let y(g) = -k - 2 - g + 4. Let v(q) = q**2 + q + 2. Let p(d) = -2*v(d) + 2*y(d). Factor p(l).\nAnswer: -2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133.8 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1231*f + 729*f + 184*f + 36731 + 12581 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q**(-11)*q)))\/((q\/(((q*(q\/(q**(-24)*q))\/q)\/q)\/q))\/q))**(-33) assuming q is positive.\nAnswer: q**(-363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 212459801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -23. Suppose 0*o + z = 4*o. Suppose -o*h + 7*h = 55. Is h 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 (((-182)\/(-20))\/13)\/(((-3150)\/(-108))\/5)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 379738095 and 3.\nAnswer: 1139214285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - f - 57. Let a be y(0). Let m = -38 - a. Calculate the remainder when m is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*z - i, 2*z + i - 3 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/4)\/(22\/11). What is the second biggest value in -4, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h**4 - 53*h**3 - 48*h**2 + 48*h. Let n(s) = 33*s**4 - 222*s**3 - 192*s**2 + 192*s. Let k(j) = -5*n(j) + 21*r(j). Factor k(z).\nAnswer: 3*z*(z - 4)*(z - 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q**3\/2 - 339*q**2\/2 + 399*q - 180 = 0. Calculate q.\nAnswer: 3\/5, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 261, 245, 203, 123, -7, -199?\n\"Answer: -2*t**3 - t**2 + t + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*v - 75 = -181*v. Calculate the greatest common factor of v and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 3:17 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4780 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*o + 60 = 0, -245421*i = -245417*i - 20*o + 600 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36307\/(-1722) + 4\/(-14). Let p be (-2)\/((-82)\/19) - 2. Let q = b - p. Find the common denominator of -37\/4 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d + 17*d - 6*d - 3 + d + 3 + (2 - 2 - 1)*(0*d - d - 3*d) + 2*d + 0*d - d in the form h + s*d and give s.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(19) + -2*sqrt(19))*2 + (sqrt(209) + sqrt(209)*1)\/sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6))**(-8\/3) assuming n is positive.\nAnswer: n**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 1 + 1)*(0*l - 3*l + 4*l) + 2*l**2 - 4*l**2 + 0*l**2 + 2*l**2 - 4*l**2 - l**2 + 2*l**2 - l**2 + 0*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151052 and 23408.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + b - 5*g + 9 = 0, -99*b + 95*b + 3*g - 11 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1. Let p(v) = -v**2 + 8*v. Let l(f) = -p(f) + 2*q(f). Let b be l(8). Let g = 11\/40 + 1\/8. What is the nearest to 2 in -0.2, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 282132\/42 - 20\/(-35). Suppose -c = -48*x + 46*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 1. Let k be (-6 - -7)*86\/2. Let t(s) = -k - 11*s + 108 - 33 - 37. Calculate 6*i(y) - t(y).\nAnswer: 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60088 and -0.26.\nAnswer: -15622.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - 5*t**3 + 2*t**3 + (2 - 8 - 8)*(66*t**2 - 22*t**3 - 66*t**2) to the form f*t + i*t**3 + d + b*t**2 and give i.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(850)*3 - (6*sqrt(34)*-1 - sqrt(34)))\/(-6*2*(sqrt(2) + sqrt(2)*3)*-2).\nAnswer: 11*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00061699 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-93)\/62)\/((-6)\/40). Let b = -1 - -2. Differentiate -b - 4 + 12*k**2 - v*k**2 wrt k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489435 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302858 is divided by 8866.\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -14*j + 11989. Let n(p) = -3*p**2. Give c(n(w)).\nAnswer: 42*w**2 + 11989","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**18*m)**(1\/6))**(-3\/8) assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3.83. Which is smaller: v or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 1668471332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17608278?\nAnswer: 2, 3, 29, 101197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 2:11 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 9:46 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -24, -34, -42, -48, -52?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110021202 + 10?\nAnswer: -2110021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1868 and 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74382 and 135240.\nAnswer: 1487640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 10*r**5 + 14*r**4 + 28*r**3 - 4*r**2 - 26*r - 10. Let c(s) = -s**5 + s**4 - s - 1. Let v(x) = 6*c(x) + o(x). Solve v(a) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 115151796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6492868 (base 10) to base 8\nAnswer: 30611304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 15 = -4*d. Let y(u) = -2*u + 0*u + d - 383*u**2 - 2*u - 20. Let w be y(-9). Round w to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u - 90 = -u. Let p(k) = -k**3 - 7*k**2 - 5*k + 16. Let c be p(u). What is the highest common factor of c and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 54.56. Let f = 0.56 + p. Let y be (15\/(-6))\/1*18\/15. Which is the nearest to -15? (a) y (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759282.\nAnswer: 2, 3, 126547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6))**(14\/9)*((w\/(w*(w*w\/(w*w**(-6)))\/w))\/w)**(15\/4) assuming w is positive.\nAnswer: w**(-427\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16316 + 16355. Let p(c) = c**2 - 41*c + 73. Calculate p(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1518, 2975, 4276, 5421?\n\"Answer: -78*i**2 + 1691*i - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2. What is the least common multiple of u(-1) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 5*b**2 + 4*b + 1. Let s be p(4). Let y(t) = -12*t**3 - 4*t**2 - 6*t + 4. Let c be y(-5). Is s\/(-2) + c\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -224 in increasing order.\nAnswer: -224, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(975) + sqrt(39))\/sqrt(3) + (-1 + sqrt(637))**2.\nAnswer: -7*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/1338892 and 62\/7505.\nAnswer: 6694460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(3 - 4 + 0)*(1 - 2 + 0)*(1 - 10 + 1)*(-6 + 6 - 9*d).\nAnswer: 72*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -405.\nAnswer: -404.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4451\/3, 185, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2 - 5*l. Let y = 38 - 32. Let t(o) be the third derivative of -o**5\/15 - o**4\/6 + o**2. Let v(s) = y*t(s) - 5*x(s). What is v(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4202 by 191.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - (-4 + 4) - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 2368334?\nAnswer: -7105002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*g**2 - 36*g**2 + 12*g**2 + 3 - 3 + g**2 + g**2 + 2*g**2 - 4*g**2 + (2*g + 2 - 2)*(-5*g + 2*g + g).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j + 2. Suppose 2*k = 4*s + 24, 3*k + 0 = -j*s - 9. What is the third derivative of k*u**2 + 6*u**2 + u**5 - 18*u**5 - 28*u**2 wrt u?\nAnswer: -1020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261331 and 1295.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -646513*t**3 - 4*t**4 - 2 + 646569*t**3 + 0*t**4 + 0*t**2 + t**2 - 2*t to the form j*t**3 + o*t**4 + u*t + c + f*t**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*c = 124*c + 8. Sort -1, -29, c.\nAnswer: -29, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*u + 693 + 278, -4*g = 4*u - 3876. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 490690 or 490610?\nAnswer: 490610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**3 + 3*t**2 + 11*t. Let h(l) = 2*l**3 - l**2 - 3*l. Let i(n) = 6*c(n) + 22*h(n). Find the third derivative of i(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -3*r - 278. Let n be 2\/8 - r\/20. What is the units digit of n\/4 - (-161)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 46 (b) -0.5 (c) 0.5 (d) -77 (e) 0.2 (f) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9481943533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((770\/440)\/((-175)\/(-2)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 7*n**2 - 4. Let x be m(-7). Let v(j) = -j**2 - 3*j + 2. Let f be v(x). Does 10 divide 37 + f*1\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10282 and 4?\nAnswer: 20564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 24*b**2 + 3*b + 33. Give a(-4).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 7 = -x, -11379*x + 11374*x = -3*m - 21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -50798.0234 to the nearest 100.\nAnswer: -50800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -360 (b) -9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r - 7. Let s be f(5). Suppose v - 5*v = -2*o + 316, -v + 812 = 5*o. What is the highest common factor of o and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1513 (b) -1\/2 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*y - 8*y + 650 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = -2*h, -2*r - 9*h - 20 = -13*h. What is the biggest value in 19, r, 0.4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -35*x + 6972. Give h(199).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (31\/(-34) + 1)*10960\/4110\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 12493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, o: 5}. Give prob of sequence oa.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 31*j**2 + 16*j - 54. Let c be y(-31). Let z = c - -286. Is z > -264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + c - 1. Let a(t) = -27*t**2 + 28*t + 6. Let u(n) = -a(n) - 6*q(n). Find the second derivative of u(i) wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 - -104. Let x = -0.11 + 0.12. Let i = -0.41 + x. What is the closest to -0.1 in i, w, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -36 (b) 0.05 (c) -539 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 195\/(-126) - ((-128)\/60 - -2) and -45\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1120 divide 3661784843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -302498 + 63796.7\nAnswer: -238701.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*t - 74*t + 138*t - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrxsjxxjr. What is prob of sequence js?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3151.\nAnswer: 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*d - 26, 5*y - 51 = d - 0*d. Let n be (-4)\/y - (-164)\/10. Calculate the highest common factor of n and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(-3\/16)\/m)\/m))\/((m\/m**(-28))\/m)*m*(m\/(((m*m**(-7\/5))\/m*m)\/m))\/m*m*m\/(m**(-29)\/m) assuming m is positive.\nAnswer: m**(767\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2880\/75*((-2990)\/(-52))\/(-23).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14452\/108345 + 2\/36115. Which is the closest to 1.2? (a) v (b) 1 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {r: 1, i: 1, p: 2, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 1\/6*o**4 + 3\/20*o**5 + 0 + 0*o - 86*o**2 - 12*o**3. Differentiate m(q) with respect to q.\nAnswer: 18*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8*q = 4741, 0 = -2*y + 2*q - 4*q + 9426. What are the prime factors of y?\nAnswer: 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 11 - 5. Let m(r) = 1531*r**2 - 2. Let f be m(y). Suppose -5*z = -16*z + f. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8292.426 tonnes to nanograms.\nAnswer: 8292426000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 12*t - 64. Solve -t = 2*k + 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 9*w - 9. Suppose -15 = -16*k + 13*k. Suppose -7 - 28 = -k*l. Give d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*v + 9*v + 3*v + 5*v + 1 to g + p*v and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190224925.\nAnswer: 5, 11, 691727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 212 + 37. Calculate the remainder when g is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -101\/89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 6978\/179651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 708946 and 553.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**3\/3 + 3*c**2 - 23*c\/3 + 5 = 0?\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 228 = -s + 6*h, 0 = -3*h + 55028 - 55142 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x. Let u(a) = -12*a. Let q(o) = -6*k(o) + u(o). Let h(r) = -48 + 67 - 19 + 11*r. Determine h(q(i)).\nAnswer: -66*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 341 = -2*o. Suppose 3*j = -j + 5*s + 859, s + o = j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3674\/7 + -524. Let -8\/7*v**3 + 2\/7*v + 4\/7*v**2 - 4\/7*v**4 + o*v**5 + 0 = 0. Calculate v.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**4 - 10*n**3 - 55*n**2 + 5028*n.\nAnswer: 12*n**2 - 60*n - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -3\/2, 5.71, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -397, -323, -209, -61, 115, 313, 527, 751?\n\"Answer: -t**3 + 26*t**2 + 3*t - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2031475555 to the nearest integer?\nAnswer: 45072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11 or 5372?\nAnswer: 5372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - u**2 + u + 4. Let h be d(0). Suppose 2*i = -2*i - h. What is the units digit of 9 - (1 + i)*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 3. Suppose -78*d + 75*d = -75. Suppose 2*h + d - 35 = 0. What is m(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4 - 8332*j**3 - 158064*j**2 + 80296400*j - 2553160000 = 0. Calculate j.\nAnswer: -2059, -124, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - 2*3*sqrt(209))*-3)\/(sqrt(704)*1).\nAnswer: 15*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36 and 9\/(-6)*966\/(-17682)?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266971096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 31*h + 5. Let z(t) = -30*t - 6. Let s(j) = -7*j**2 + 19*j + 292. Let u be s(8). Calculate u*z(a) - 5*r(a).\nAnswer: -35*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -9*f**5\/20 - 14*f**4\/3 - 90*f + 96. Let m(t) be the first derivative of s(t). What is the third derivative of m(b) wrt b?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59513 is divided by 578.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 2, g: 4, l: 2}. Give prob of sequence gq.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 133093 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4086. Let a(t) = 4903. Let w(v) = -5*a(v) - 6*j(v). Let r(y) = y + 4. Let g(o) = 2*o + 4. Let m(k) = 5*g(k) - 4*r(k). Give m(b) - 4*w(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) 25 (b) 144 (c) -56 (d) 0.5 (e) -4 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 67\/6 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46947844.\nAnswer: 2, 11736961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 302, -5, 2\/35.\nAnswer: -5, 2\/35, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -44719*a**2 - 1 + 7 + 44718*a**2 + 10*a - 5 + (-1 + 1 + 2*a**2)*(-4 + 2 + 0) as m + y*a + r*a**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**6\/15 + d**5\/5 - 2*d**4\/3 - 8*d**3\/3 + 6*d. Factor p(o).\nAnswer: 2*o*(o - 2)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - y + y)*(-12*y - 21 + 21) + 5*y**3 + 4*y**3 + 4*y**3 + 3*y**3 - 2*y**3 - 2*y**3 + (2*y**2 - 2*y**2 - y**2)*(y - 3*y + 0*y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 - -0.07947. What is n rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwti. Give prob of picking 1 i and 1 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -49. Let v(j) = 12*j + 37. Let w be v(-16). Let y = 264 + w. What is the remainder when y is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 17, -2, -39, -94, -167, -258?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1348 - 1377) + (-7 - -3 - 0) + 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8759 - 6*x - 8806 + 17565.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*u + 510, 456 = -4*d - 5*u - 179. Sort 1, d, -4 in ascending order.\nAnswer: d, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*u = -152131 - 346215. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:57 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112515 - 77160. What are the prime factors of v?\nAnswer: 3, 5, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3220?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 4*h - 20. Let d be q(7). What is the greatest common divisor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2050 and -25?\nAnswer: 51250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 332222?\nAnswer: -332221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 19500552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -5*q - 12. Let i(x) = 2*x - 5*x + q*x. Let f(b) = -2*b**2. Give f(i(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94815.\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 1. Let u be w(5). Suppose 0 = -o + 5*t - 13, 5*o + 2*t = -3*t + 25. Suppose -3*l + o = -u. Solve 4*g = 2*g + l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8\/5)\/(o**30\/o))\/(o*o**(7\/2)\/o*o)**(4\/33) assuming o is positive.\nAnswer: o**(-1713\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98, 819, 2726, 6413, 12474, 21503?\n\"Answer: 99*n**3 - n**2 + 31*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 10 = -128. What is the remainder when 91 is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**2 + 3842*x + 3827.\nAnswer: (x + 1)*(15*x + 3827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 10*j + 1 + 4*j**2 + 8*j - 4*j. Let x(s) = 3*s**2 + 9*s + 1. What is 5*l(v) - 7*x(v)?\nAnswer: -v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*m + 19, -5*m - 2*d - 2*d = 2. Let s be (1224\/2)\/m - -3. Let l = -213 + s. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2440644 (base 7) to base 12.\nAnswer: -1309a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 124\/(-6)*(-19755)\/(-4390)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 18*o**2 - 344*o - 2047. Calculate w(31).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 11, d: 5}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -351 - 359 - 5*g**2 - 357 + 1067. Let c(t) be the second derivative of t**3\/3 + 87*t**2\/2 + 2*t + 31. Determine x(c(o)).\nAnswer: -20*o**2 - 1740*o - 37845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaaqeaqaaqqqqqaareaa. What is prob of sequence eqqo?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*sqrt(68) + 3 - (1*2*sqrt(68)*3)**2.\nAnswer: -2440 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4 = 2*f. Suppose -f*w + 23 = 19. Calculate the lowest common multiple of 9 and (w - 0)*9\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 74649, 298601, 671855, 1194411, 1866269, 2687429?\n\"Answer: 74651*x**2 - x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a + 3. Let i(y) = 1. Let j(g) = -g**2 - 6*g + 6. Let s be j(-6). Let n(v) = s*i(v) + b(v). Let c be n(4). Is -17 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 1.5. Let j = 3.53 + y. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 830854.9 minutes?\nAnswer: 49851294000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*s**2 + 120*s**2 + 497*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/73, -1\/8, -4\/3, 2813363?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45848773639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t*t**(1\/3)))\/t))**(-29)*(t**(-1))**(-2\/7)*((t**(-3\/5)*t)**(-26\/5))**(15\/7) assuming t is positive.\nAnswer: t**(-7543\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*y**2 + 773*m - 2*y**4 - 2100*y**2 - 12*y wrt y?\nAnswer: -2*m - 24*y**2 - 4200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2. Let r(i) = -1. Let k(x) = 4. Let h(d) = -k(d) - 5*r(d). Let u(c) = 2*c + 2. Let m(p) = 2*h(p) - u(p). What is l(m(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + g + 1984 = 0, -3*u + 3972 = -u - 3*g. Let r = u - 1250. Round r to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162676*d**6*u - d**5*u + 3*d**2*u + 170*d**2 - u + 8 wrt d?\nAnswer: -19521120*d**3*u - 60*d**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/(36\/6)*(-5)\/210?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 48, -0.2, -2, 1.93?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 7132046*s**2 + s**3 + 7131939*s**2 - 2*s.\nAnswer: s**3 - 107*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 - (0 + (0 - -2)). Suppose -3*k + 15 = -x. Let l be (k\/(-4))\/2 + -8 + 3. Let i(h) = -2*h - 8. What is i(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59391357.55633834 - -59391357. Let k = -3.4436599 + v. Let o = k + 4. Round o to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 10:18 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.61476 rounded to 2 dps?\nAnswer: 2.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 3\/5 (c) 2.8161 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/60292327 and -101\/6.\nAnswer: 361753962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 4955927 - 9911974 + 4956047.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 4*s + 4. Let k be h(4). Find the first derivative of -3*z**3 - 6*z + 4 + 6*z + k*z**3 wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, w: 2, l: 1, m: 1}. Give prob of sequence wum.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r = -196 + 46 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 less than 0.5?\nAnswer: 87.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -2*w**2 + 0 + 0*w + 0*w**3 + 1\/20*w**5 - 1\/8*w**4. What is the second derivative of x(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 862279 and 1419?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/5 and -25\/19?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k - 377 + 179 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*g + 6691*g**2 + 16*g - 269 - 37*g - 1272*g**2 + 4454*g**2 wrt g?\nAnswer: 19746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660693291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**4\/12 + 13*u**3\/6 + 7*u**2. Let h be z(6). Does 16 divide (h + 0\/(-2))*40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392*x + 395*x - 273 = 0. List the prime factors of x.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*q - 132*q - 158 + 1576 - 125*q - 3*q**2.\nAnswer: -3*q**2 + 1418","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxppp. What is prob of sequence xp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 6*v + 1. Let c be m(6). Let u = -103417 - -722480\/7. Let d = 206 + u. Is c equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032 divided by -344?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) + 6\/(-10). Let l(q) = 3*q**2 - 26*q - 2074. Let f be l(31). Which is the second smallest value? (a) 2\/7 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*(sqrt(12)\/sqrt(4) + sqrt(3)).\nAnswer: -4*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5*2.8394\nAnswer: -14.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*c + 42 = 0, l - 4*c = -6*c + 22. Suppose 4*y + y = l. Suppose -t + 2 = 5, -3*z - y*t + 24 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 35.74. Let v = i + 3.74. Which is smaller: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 0.839?\nAnswer: -2.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 + 7778*n + 23340.\nAnswer: -2*(n - 11670)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let y(s) = -3*s**3 + s**o + 1 + 2*s - s + 0*s. Let t be y(-1). Let f(k) = -k**2 + 4*k - 1. What is f(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -5*u**3\/3 - 405. Let g(t) = -2*t - 127. Calculate o(g(q)).\nAnswer: -20*q**2 - 2540*q - 80645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d - 27. Let r be l(6). Solve -2*f - r = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1005, 4380, 9971, 17778?\nAnswer: 27801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5825431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, -3, -2 in increasing order.\nAnswer: -14, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14788420.\nAnswer: 2, 5, 101, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1496*o + 18535. Let t be d(12). Suppose 4*c - 8 = 36. Calculate the highest common factor of t and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**6\/40 + 3*g**5\/10 - 8*g**4\/3 + 8*g. Let n(a) be the third derivative of x(a). What is the derivative of n(m) wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -187\/45 + 32\/9. Sort -0.5, -7, 3, h.\nAnswer: -7, h, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32739.\nAnswer: 3, 7, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4136346881?\nAnswer: 137, 30192313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33ad + -2649?\nAnswer: -5a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-1 + 1) - 2. Let i(b) = 4*b - 79. Let a be i(19). Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084139570.\nAnswer: 2, 5, 108413957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000094 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(40\/336 - (-3)\/(-9)). Suppose 0 = 5*w - 9 - 6. Suppose -w*p + 21 = -4*s, 7 = p + 3*s + s. What is the greatest common divisor of p and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 11 - 6 - (8 - (5 - 5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffb when three letters picked without replacement from bffffb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 33, -52, -171, -306, -439?\n\"Answer: 3*o**3 - 35*o**2 - o + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8 = -74. Let t(l) = 15*l - 5. Let c be t(4). Calculate the highest common factor of c and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1729)\/(-532) - (-165)\/12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + 44.2. Let m = u - 32. Which is greater: 0.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 27. Let b be -5*(g - -3 - -2). Let a(n) = -n**3 - 5*n**2 - 4*n - 3. Determine a(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:52 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h + 9 - 2 - 21 + 4 + 0*h. Let p(s) be the third derivative of 0*s + 6*s**2 + 0 - 1\/12*s**4 + 0*s**3. What is p(v(w))?\nAnswer: 10*w + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 174905682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 2:52 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (9 - 8) + -11 + 6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.036529812 to 4 dps.\nAnswer: -0.0365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 30 + 20. Let a(z) be the first derivative of 0*z**h + 20 - 23\/3*z**3 + 0*z. Let b(m) = 2*m**2. What is a(b(t))?\nAnswer: -92*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -12948.171 to the nearest ten.\nAnswer: -12950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 1219 (c) -4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 9:42 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 926950, 1853892, 2780834, 3707776?\n\"Answer: 926942*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6)*2\/36)\/(34\/(-1632)*54)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156733000 rounded to the nearest one million?\nAnswer: 157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 386312183 + -386312180.61810373. Let x = -0.51809343 - z. Let h = x - -2.9. What is h rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1\/(40\/615216) - 54\/(-90)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65612831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2689273 or 2689274?\nAnswer: 2689273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-2 - 12\/(-4) - (-4 + 2)). Let i(p) be the third derivative of n*p**3 + 0 + 1\/420*p**5 + 0*p + 5\/168*p**4 - 15*p**2. Factor i(j).\nAnswer: j*(j + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + -241\/5. Let q = 17 + -27. Let v be 13\/42*q - -3. What is the biggest value in k, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-2 - -3) - 0. Suppose l*v = 5*v - 110. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - (8 + 27))\/(-37) - 132\/(-1073).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -826 - -834. Which is the fourth smallest value? (a) 12\/5 (b) 2\/5 (c) h (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 - (2 - 5) - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7079947?\nAnswer: 7, 827, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11343.000025985 - -11343. Round w to 6 dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 971 - 562. Suppose 389 = -5*h + o. Solve -c = 2*c + b + 6, 8 = -h*c - 5*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 85*u + 2627. What is w(24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g - 3. Let w be i(3). Let o be (-15 + 3 + -6)*1. List the prime factors of 2\/w + (-148)\/o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-6)\/336*(-4)\/2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 13 - (-7 + 7). Let l = 3\/157 + 2977\/314. Let h = q + l. Find the common denominator of h and 105\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43473484 to the power of 1\/2, to the nearest integer?\nAnswer: 6593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21567*h**3 + h**2 + 37*h + 39?\nAnswer: 129402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(k\/(k*((k*k**10)\/k)\/k))*k*k*k))\/k*k\/(k**(2\/15)\/k))**(-39)*(((k\/k**(-2))\/k)\/(k*(k\/k**6)\/k))**(-2\/5) assuming k is positive.\nAnswer: k**(2352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(1\/(-1)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221202000000 - 101101?\nAnswer: -221202101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 95 - (119 - (113 - 78))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from {a: 6, i: 3, w: 1, l: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16345, -16301, -16239, -16153, -16037, -15885, -15691?\n\"Answer: h**3 + 3*h**2 + 28*h - 16377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2596\/(-1180)*(-30)\/(-99).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2 + 33*i - 14. Let r(k) = -5*k**2 - 37*k + 11. Determine -3*m(j) - 4*r(j).\nAnswer: -4*j**2 + 49*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 280, -8, 3, 2 in ascending order.\nAnswer: -8, 1, 2, 3, 5, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 92 and -3.02.\nAnswer: -277.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -13*a + 9. Let n(s) = -3*s + 2. Suppose -1 = 3*i + 5. Give i*d(z) + 9*n(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44946349753405 - 5.\nAnswer: 44946349753400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -110260, -220535, -330810, -441085, -551360?\n\"Answer: -110275*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 795 and 477?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 412 (c) 3 (d) -135 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -674 divided by -1661?\nAnswer: 674\/1661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-2*4)\/(sqrt(27)\/(sqrt(3) + sqrt(6)\/sqrt(2)) - (sqrt(9) - (sqrt(324) + 2*sqrt(324) + sqrt(324)))).\nAnswer: -48*sqrt(5)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 12*u + 12 = 0. Factor -2*z - 3*z**u - 19 + 7 - 2*z - 11*z.\nAnswer: -3*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grgggr. What is prob of sequence ggr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24010694 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1975 + 22?\nAnswer: -1953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2395*d + 3436 + 1354 = 0. Suppose -4\/5*j - 2*j**d + 0 - 6\/5*j**3 = 0. Calculate j.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 579 - 277 + 174 + 95.\nAnswer: -3*o - 587","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461371 is divided by 1728?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 158*1932\/12719*((-60)\/(-27))\/(-2).\nAnswer: -80\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 - 9*u**2 - u**2 - u**3 + 1 + 10*u**2.\nAnswer: -7*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51955 - 3254 = -21*c. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 10. Let j be 2\/2*h\/(-14). Is j not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 44\/(-20))\/1. Which is the closest to -1\/4? (a) x (b) 0 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1761502179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5423473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -21*u**5\/5 + 43779*u**4\/5 + 1479654*u**3\/5 + 1754868*u**2\/5 - 2464968*u\/5 - 813312\/5 = 0.\nAnswer: -32, -2, -2\/7, 1, 2118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225192027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let j = 159 + -172. Which is smaller: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 925537\/319 and 2901 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 324 - 120 = 4*o, o - 4*f - 36 = 0. What is the units digit of (-4)\/(-2*4\/o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5694 + 5702. What is the lowest common multiple of (-14)\/(-4) + 1\/2 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2368564401 to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 4*y**3 + 3*y**3)*(86*y**2 + 145*y**2 - 20*y**2).\nAnswer: 844*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 0 + 0 + 8. Suppose 0 = w*v - 18 - 6. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616*p**3 - p**2 + 162*p - 621*p**3 - 415*p.\nAnswer: -5*p**3 - p**2 - 253*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*r + 2 - 14, 4*n + 16 = -3*r. Suppose -158 = 2*z - r*z. Let t = z + 113. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*y + 10, -5 = 3*y - 0*y + w. Solve u = -8*j + 4*j + 4, u = y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jajajja. What is prob of sequence jaaj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22635, 0, -0.3, 4, 2, -0.06?\nAnswer: 22635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584 = -r + 577 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/3 + 23*o**2\/3 + 8*o = 0. Calculate o.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -79265*v**3 + 3420 wrt v?\nAnswer: -237795*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/24*1*-3. What are the prime factors of q - (2 - 2) - -15?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15190, 60860, 137082, 243922, 381446, 549720, 748810?\nAnswer: 978782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*x = -18, 0*n - 5*x = n - 27. Suppose 4*q + 11 = 5*f + 1, n*f - 4 = -4*q. Suppose q = -0*p - p + 16. What is the remainder when 45 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*b - 44*b + 4*b**4 + 2*b**3 + 93*b - 1 to t*b**3 + u*b**2 + j*b**4 + v*b + x and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 4*k + 2*k - 5*k as y*k + n and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 15. Let b be w(-7). Suppose 0 = 6*c - b*c + 1270. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -963 + 968. Solve -4*t - 45 = s*o, -8*o + 3*o - 15 = -2*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7536 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x. Let c(n) = -5*n. Let h(f) = 3*c(f) - 2*d(f). Let r(q) = -q - q + 0*q + q. Determine r(h(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 f when four letters picked without replacement from {w: 2, f: 5, n: 10, q: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -5*m - 50, -10*m + 7376 = 2*s + 7436 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 50 = -3*q - 6, -3*d + 55 = q. Suppose 4*f - 23 = 4*g + d, -2*f = g - 17. What is the greatest common divisor of f and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c - 2 - 8*c**2 - 2*c**3 + 5*c**2 + 3*c**2. Is 3 a factor of r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**3 - 5*k**2 - 11. Let w(s) = -3*s**3 + 2*s**2 + 6. Suppose 14 = 5*l - 16. Let m(a) = l*u(a) + 11*w(a). Find the third derivative of m(z) wrt z.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 205176600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.9 and -0.05814?\nAnswer: 0.95814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 2*p - 2*p)*(-2*p + 13*p - 3*p).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**9*c**10)**(13\/2) assuming c is positive.\nAnswer: c**(273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-77)\/(-35))\/((-1)\/(-2)))\/((-8)\/(-40))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4102131 rounded to the nearest 10000?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193\/965 + (-251338)\/(-35) + (-6)\/21?\nAnswer: 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/729 and 17\/405243.\nAnswer: 3647187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 289 + -1448\/5. Which is the nearest to 0.1? (a) 1 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 2*p - 8. Let x be m(4). Suppose 3*o + x*o + q - 10 = 0, 0 = -4*o + 4*q + 8. Sort o, 2, -3 in decreasing order.\nAnswer: o, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25194, 25200, 25216, 25248, 25302, 25384, 25500?\n\"Answer: z**3 - z**2 + 2*z + 25192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wllw when four letters picked without replacement from {l: 4, w: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(-864)\/(-24)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4012781867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**5 + 3*z**4 + z**3 + 5*z**2 + 19*z - 3. Let y(s) = s**5 - s**4 - s**2 - s + 1. Let n(b) = v(b) + 3*y(b). Find the third derivative of n(l) wrt l.\nAnswer: 240*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-3 - 76)) + (55 - (123 + -48)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 - 1. Let y be s(1). Suppose -3*d + y = -6. Calculate the common denominator of 21\/4 and d\/10*(-83)\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(12\/(-5)))\/(((-148)\/48)\/37).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + f = 7053, 121 = 5*f + 111. Is d a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -40*y - 10. Let v(a) = -118*a - 28. Determine -17*q(n) + 6*v(n).\nAnswer: -28*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45388046653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(-4\/11)*w)))\/w)\/(w*w**(-4))*w**2*w**(2\/7) assuming w is positive.\nAnswer: w**(379\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145 or 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -791 (base 13) to base 12\nAnswer: -905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 5*a**2 - 10 + 3*a - 3*a**3 + 4*a**3 + 4*a**2 as h*a**3 + c*a + l + n*a**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1073041444 and 3028.\nAnswer: 3028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - 13*a**2 - 8*a - 8. Give g(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25602, -25581, -25560, -25539, -25518?\n\"Answer: 21*k - 25623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1797996001924 - 0.075.\nAnswer: -1797996001924.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -13939.1593995.\nAnswer: -13939.5593995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 6*w = 5*w, -5*z + 2*w + 11 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222 (base 3) to base 4.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/7 - 257*n**2\/7 + 9*n\/7 + 2313\/7 = 0. Calculate n.\nAnswer: -257, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ididxdxddxxxdxxdxx. What is prob of picking 3 x?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 745 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1 + 0 - -1. Suppose 10*d + 3*d - 897 = z. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1087 and 33?\nAnswer: 35871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2408762753?\nAnswer: 19, 6672473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730887 is divided by 1078.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*n = 0. Let s be (1 + n)\/(-10)*5\/(-2). Are s and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -2)\/(4 + -3). Suppose i = -5*u + 29 + 21. Solve 3*g + u = 2*z, 8 = -z - 0*g - 5*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 63.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 3*b + b**2 - b**3 - 3*b + 0*b**3. Let c(f) = -f**2 + 5*f + f**3 - 2*f**2 - f**2. Give 7*c(q) + 6*p(q).\nAnswer: q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 9:24 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2 + 3 - 4 - 3 - 3*o + o**2. What are the prime factors of m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1395 is divided by 54.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 6. Let v be j(-5). Suppose -3*p - v*u - 8 = 0, -3*u + u = -4*p + 26. Let z = -90981 + 90976. Put 5, 1, z, p in ascending order.\nAnswer: z, 1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 2*s**4 - 94*s**2 - 279*s**3 + 79 + 279*s**3 - 80 + 2*s**4 as p*s + r*s**3 + y + b*s**4 + f*s**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (1 - (-2)\/2). Let y(f) = 0*f + 4*f - s*f. Let j(a) = -a**2 + 2*a**2 - 2*a**2. Determine y(j(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7025 and 1686.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 32*a - 30. Suppose -59*t + 6 = -56*t. Let q be z(t). Which is smaller: 100\/3 or q?\nAnswer: 100\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 6*r**2 + 7*r + 6. Let w be n(4). What is the highest common divisor of w and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 15*k**2 + 15*k - 14. Let t be y(14). Let c(r) = -r**2 - r + 8. Give c(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110220 (base 3) to base 6.\nAnswer: 15423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174 - 166. What are the prime factors of ((-12848)\/i)\/(4*(-2)\/4)?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -325224 - -5?\nAnswer: -325216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + 11?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 22. Suppose -6*t = -z - 0. What are the prime factors of 40 - 2 - (-2 + t)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/126720 and 97\/4367616.\nAnswer: 65514240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38715757?\nAnswer: 211, 183487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13712431?\nAnswer: 13712431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -11\/5, 3?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 4*u**2 - 3*u. Let n be c(2). Suppose 5*b + 3*q - 75 = 0, 3*q - n*q + 95 = 5*b. What is the smallest common multiple of b and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -29*g**4\/12 + 280*g**2. Let t = 9 + -7. Let o(r) = -7 - t*r**2 + 7. Determine o(s(q)).\nAnswer: -6728*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-33)\/24)\/(20\/6) and ((-110)\/(-220))\/(4\/(-6))*53\/(-33)?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 2*x - 4. Let l be i(-4). Suppose p = -m + l*p + 15, -4*p - 20 = 4*m. Let o = 5 + -1. Which is the nearest to -1\/3? (a) o (b) -4\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 11*a. Let y be n(-8). Let z = -6 + y. Calculate the remainder when (-4)\/z - 60\/(-27) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004003017 to six dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -115619 and -0.016.\nAnswer: 1849.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 = -12. Solve 5*w - i = 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52300 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22bcb (base 14) to base 8.\nAnswer: 245257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10354)\/(-62) + -63)\/(1 - -7) + -43?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 12) to base 7.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1.7. Let s be (3\/(-2))\/(12\/2). Let a = 33 - 33. What is the closest to a in n, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, n: 3, q: 2}. What is prob of sequence qqu?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 10*m + 26. Let j be v(12). Let g = 55 - j. Suppose 3*z + 2 = z, g*t = -2*z + 1078. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Let j be (2 - 2)\/(6 - 5). What is the second derivative of -10*n**3 - 4*n + j*n + 10*n**3 + 3*n**m wrt n?\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, 0, -21 in ascending order.\nAnswer: -21, -5, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -6. Suppose -m + 1 - 2 = k. Which is greater: 3 or m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -32\/4285 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 948 + 238 = 0. List the prime factors of d.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-71.\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from qqzqzzz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-63)*-3*(-15)\/145\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11347, 12002, 12671, 13360, 14075, 14822, 15607?\nAnswer: 16436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -36448.5.\nAnswer: 36448.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6075 + 1459 = 287*c - 789 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 10) + 4 - (8 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 262212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 232 + -228. Which is the smallest value? (a) i (b) 3 (c) 1\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -60. Let b = -1.1 - t. Let m = -65 - -66. What is the closest to b in 9\/5, -1\/6, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b - 11. Suppose -129 = -2*r - 233. Let i(y) = 62*y + 118. Let j(d) = -7*d - 13. Let m(f) = r*j(f) - 6*i(f). Give -17*l(w) + 6*m(w).\nAnswer: 3*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-23.0571\nAnswer: 6.91713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 2*k - 3*k + k. Let t(z) = 4*z**2. Calculate p(t(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*u**3 - 403*u + 2 + 403*u in the form a*u + m + r*u**2 + w*u**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-37527)\/(-9) + 6\/(-9). Let f(j) = -2017*j**3 + 1. Let q be f(1). Let a = u + q. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*l**3*m**3 - 26*l**3*m**2 - 403*l**3 - 24*l**2*m**3 + 15*l*m**3 + l*m**2 wrt m?\nAnswer: -30*l**3 - 144*l**2 + 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 4:19 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -83060 * -1.4\nAnswer: 116284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 140*n. Let y(g) = g. Calculate o(y(b)).\nAnswer: 140*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55589129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19259 is divided by 166.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (78 + 63056\/(-928))?\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4639, -4422, -4015, -3418, -2631?\n\"Answer: 95*w**2 - 68*w - 4666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3111203 + 300010?\nAnswer: -2211133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-24) + 1970\/8. Suppose -2*p - 2*k + 20 = 0, -3*p - 4*k + 50 = 16. Suppose -1356 + s = -p*z. What are the prime factors of z?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6060*c - 7 = 6067*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 17*y + 16. Let z be c(-16). Solve k + 0*k = z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-53 - -5)\/(-8) + -6 + 287300. What is i rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155012502*k**3 + 352950936*k**2 wrt k?\nAnswer: 930075012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x + 48 = 0. Suppose 3 = o + 5, -5*s + 3*o = -x. Let r = 3.6 + -4. What is the closest to s in 4, -2\/11, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(-36) + ((-78)\/9 - -7). Solve 132*x - 106*x - 208 = z for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/60 + 19*m**4\/24 - 17*m**3\/6 + 25*m**2. Let h be t(18). Is -1\/33 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.864 from 0.1231839.\nAnswer: -12.7408161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f**2 - f. Let a(o) = 1773671*o. Calculate a(c(b)).\nAnswer: -15963039*b**2 - 1773671*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.083 - 0.117. Let z be 3 + (2 - 4) - (-9)\/(-7). Let m = -1 - -0.5. Which is the nearest to z? (a) 2 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 42*q**2 - 151*q - 441. Determine m(-39).\nAnswer: 885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**2 - 4*f - 2. Suppose -3*t + 25 = 2*t. What is the units digit of a(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/67 - 24\/871. What is the nearest to l in -2, -0.1, 7, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 200 = -5*k - 3*x, 80 = -2*k + x. Let z be (-4)\/2 - 75\/k. Let f = 2165\/6 - 1078\/3. Sort f, 2.4, z in decreasing order.\nAnswer: 2.4, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256750 is divided by 128368?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20610.615ms in minutes?\nAnswer: 0.34351025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3110543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/20 + 3\/(-3). Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*t = -5*x - 23, 4*t - 16 = 5*x. Let u = 42 - 36. Let q be (3\/4)\/(u\/x). Which is the biggest value? (a) 0.5 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.38 + -0.04. Let b = 0.16 + d. What is the third smallest value in b, -0.3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = 22*l - 66 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.377, -1.1, 1, 5.\nAnswer: -1.1, -0.377, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 13*a - 2 + 3*a + 18*a - 7*a - 9*a.\nAnswer: -16*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 223 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 39 = -4*j, 0 = 5*p + 44 - 49 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, -4\/3, 1\/3, 5, 2\/11 in descending order.\nAnswer: 104, 5, 1\/3, 2\/11, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 - 321?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -899 and 0.033749?\nAnswer: 899.033749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - d + 26 = -3*d, 0 = 3*d + 6. Suppose -a = -g + 28. Let l = g - 39. Which is bigger: l or -2\/63?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/5 - 4801836*a**2\/5 + 9603678*a\/5 - 960368 = 0. What is a?\nAnswer: -2400920, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47278700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10 - 0) + 2 - (30 + -8)) + -7 + 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 2. Let u be f(-3). Is 1\/u - (-188)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(192)*3 - (sqrt(192) + ((sqrt(192) - (sqrt(192) + 2)) + sqrt(192))*-2 + sqrt(192)))*-3)**2*-1.\nAnswer: -396900 + 64800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - 15\/(-3) - -3. Let r(m) = 3*m**3 + 2*m**2 - 2*m - 2. Let t(i) = 11*i**2 - 5*i + 4*i**3 - 5 - 6*i**2 + 3*i**3. Calculate d*t(n) - 5*r(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 528 and -187.\nAnswer: -98736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 200079.872 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 55 = -130*h + 131*h, -4*n = 2*h + 90 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4679?\nAnswer: 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 7:24 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 5. Determine p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7493?\nAnswer: 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - 82*o**2 + 2*o + 66. What is h(-41)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 24*x - 48. Let i be l(-22). Are i and 0.03 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5414 divided by -318.\nAnswer: 2707\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-456)*24*(-22)\/(-264)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.1 - 17. Sort n, -1\/4, 0.4 in descending order.\nAnswer: 0.4, n, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, l: 2}. Give prob of sequence lln.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 13 = 7, 0 = 4*j - h + 20. What is the smallest value in -0.1, 4, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -79, -130, -167, -184?\n\"Answer: r**3 - 2*r**2 - 60*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -135798 + 429203. Let p = 73405 - w. Round p to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 798340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.174\nAnswer: 0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 28*v + 12798. Calculate m(-100).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0\/t)**(-2\/59)*t**(-5)\/((t\/(t**0*t))\/t))\/(t**(2\/11)*t**(-2)*t*t**(-3\/7)*t*t**0) assuming t is positive.\nAnswer: t**(-289\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 3 + 2*1. Let x = 17 + -12. Let w(y) = x*y**3 - 5*y**3 + 5*y**3 + y**2. Let q(d) = -d**3. What is a*w(c) + 6*q(c)?\nAnswer: -c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/6215 and -7\/15005496.\nAnswer: 75027480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 8*q + 4. Let t be c(-8). Let s be (-16)\/(-6) + t\/(-6). Solve -3*w - 3*f - 6 = 0, -w - f - s = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 29. Let n = -1916395 - -1916311.9979. Let u = n + b. What is u rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/(-3))\/(3\/9). Suppose -2*w - 50 = -68. Calculate the highest common factor of n and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/115, 2, -0.3, 23.2 in ascending order.\nAnswer: -0.3, -6\/115, 2, 23.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 15. Let r be t(-4). Suppose -w + 370 = r. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165091580 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 15*t**4 - 21612*t**3 + 10385280*t**2 - 1667174400*t + 1327104000 = 0.\nAnswer: 4\/5, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8036745*k**3 - 9877265*k**2 wrt k?\nAnswer: -48220470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (8 - 5) - (1 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1743*p - 1329*p + 61580 = 159884 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122228, 244464, 366686, 488888, 611064, 733208, 855314, 977376?\nAnswer: 1099388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**5\/420 - m**4\/84 - m**3\/42 + 6*m**2. Solve d(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-45)*1)\/((-10)\/(-6))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4614 divide 991387110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 5*m + 3. Suppose 5*d = -4*n + 72, d = 5*n - 129 + 10. Suppose t + 0*w - 11 = -3*w, -3*t - 4*w = -n. Let i be f(t). Which is smaller: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3138756120750 - 3138756120750 - 3*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(-1\/28)\/(q**(-3\/10)\/q**3)*((q*(q**4*q)\/q*q*q*q)\/(q**(-1\/8)\/q))\/((q**0*q)\/q*q**8) assuming q is positive.\nAnswer: q**(311\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -284780*n**3*x - 2*n**3 - 5*n**2*x + n**2 - 17*n*x + 4888*n - 1 wrt n?\nAnswer: -1708680*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-15))\/(2\/(-6)). What are the prime factors of (2\/2 + o)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*c**2 + 83*c**2 - 2 + 2 + (-1 + c + 1)*(-c - 1 + 1).\nAnswer: 68*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c + 160 = 7*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 1. Let t be d\/2*1\/2. Let q = 3 + -2. Which is the nearest to q? (a) -0.5 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9746)\/2658*3\/(-22)*-178\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 9:42 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 493 - 9365\/19. Sort -1, -0.1, y.\nAnswer: -1, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -12. Suppose 0*f = 4*f - d. Suppose -3*c = -b + 34, -f*b - 3*c = 36 - 187. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -895, -1743, -3175, -5215, -7887, -11215, -15223?\nAnswer: -19935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 2*n**3\/3 - n**2\/2 + 4*n - 8. Calculate the remainder when b(6) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 43. Sort 2, -1, a in ascending order.\nAnswer: -1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -8. Suppose m = -3*z - 0*z + 102. Calculate the remainder when z is divided by 94\/8 + 2\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4\/6 - 295*q**3\/6 - 10067*q**2\/6 - 77945*q\/6 - 25186 = 0.\nAnswer: -257, -28, -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -5*z**4\/24 - 3*z**3\/2 - 804*z**2. Let c(r) = r + 2. Let p be (-4)\/22 - (-679)\/(-77). Give p*c(v) - 2*d(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 17*t - 4. Let c be l(6). Let h(k) = -2*k - 9. Let f be h(-6). Let x(q) = f + 4*q**2 - q**2 - 5 - q. Give x(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**8\/6720 - f**5\/15 - f**2. Let o(u) be the third derivative of h(u). Let m(q) = 0*q**2 + 3*q**2 - 4*q**2. Give m(o(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-5 - (-4 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*j**3 + 2299*g**2*j**3 + 149*g*j**3 + 2*g wrt g?\nAnswer: 12*g*j**3 + 4598*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2 - 53*b*g**3 + 330*g**3 with respect to b.\nAnswer: -2*b - 53*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24774*j**3 - 48446*j**3 + 23675*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:45 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -3, 2.\nAnswer: -5, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/237 and (4\/(-20))\/((-24)\/(-130)).\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiujxoxxoinixjxjjio. What is prob of picking 1 i and 1 x?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, 9878.\nAnswer: -15, 1, 9878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*g**2 - 14*g - 50*g**2 + 14*g.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s**2 - 22*s + 24. Let x(j) = -6*j**2 + 1 + 2*j - 4*j + 5*j**2 + j. Let v(i) = d(i) - 6*x(i). Factor v(g).\nAnswer: -2*(g - 1)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*l**4 - 2*l**4 - l**3 - 10*l**4 + 8*l**2 - 65*l**2 in the form r*l**2 + m*l + x*l**4 + o*l**3 + v and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 71792.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p + 3680*p**5 - 227*p**2 - 252*p**2 + 481*p**2 - 295*p**2 wrt p.\nAnswer: 220800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-4))\/c)\/c**(-1\/6))\/(c**(-1\/2)\/(c**(2\/3)\/c)))\/((c**(-2)\/c)**23)**(-2\/137) assuming c is positive.\nAnswer: c**(-1921\/411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 611209.6 decades?\nAnswer: 6112.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1180?\nAnswer: 1\/1180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 34 - 2 = 0. Let q = -4 - p. Solve c - q = 0, 5*w - 37 = c - 4*c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f**3 + f**2 - f. Suppose 645*t + 34 = 679*t. Determine i(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -682\/29 + 12640\/609. What is the common denominator of o and (-494)\/90 - (-1105)\/425?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 62. Suppose 54*f - b*f = 0. Suppose 0*i - 6 = -3*i. Solve 2*a + i + 4 = f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 3:39 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(396)*-1 + sqrt(396))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 302681663 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -55392680496 and -0.3.\nAnswer: -55392680496.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 + 4 - (-198 - -251).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.08 + -0.32. Let y = -3.28 - b. Let m = y - 0.5. What is m rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29515763?\nAnswer: 29515763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*n**5 + 34*n**2 wrt n.\nAnswer: -8520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426645 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2. Let a be h(1). Suppose 0 = 4*i - a*i - 127. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2861, -6, -18, 11 in ascending order.\nAnswer: -18, -6, 11, 2861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 532477 (base 8) to base 7\nAnswer: 1336260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(2 - 2 - -1). Suppose 8*o - 140 - 412 = 0. What is the remainder when o is divided by 34 - -1 - (a - 1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 1:10 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16737 divided by -5579\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 6591*c + 2309. Let k(h) = -h. What is v(k(t))?\nAnswer: -t**2 - 6591*t + 2309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j - 4. Let r(x) = -13*x + 7. Let c(d) = -6*r(d) - 11*v(d). Let f be c(-4). Is f bigger than -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16241 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*p - 155133, d - 103422 = -d + 3*p. Let n = d - 35911. What is n rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -182 - -560. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(1\/9)*q**6\/q)**(-20) assuming q is positive.\nAnswer: q**(-1460\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 794108297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -151. What are the prime factors of j?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*v**3 + 16*v**3 - 161*v**3 + 26*v**3.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2599 + -46885\/18. Find the common denominator of 2 + (16\/(-66))\/1 and c.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, 5248882, 6 in increasing order.\nAnswer: -6, 5, 6, 5248882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5*p**(-2)*p)**(3\/8)\/(p**3*p**4\/p*p*p*((p\/p**0)\/p)**(2\/9)) assuming p is positive.\nAnswer: p**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j - 9. Give w(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13 - -5 - (-2 + 3). Let s(c) = c**3 + 9*c**2 - 5*c + 17. Let a be s(y). Suppose 4*x - a = 686. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*-1*sqrt(51))\/(sqrt(18)\/sqrt(96)).\nAnswer: -8*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yypypyppyypyy. Give prob of picking 1 y and 2 p.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.067 + -0.133. Which is the closest to v? (a) 23 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 + 4464*h\/5 + 13374\/5.\nAnswer: 2*(h + 3)*(h + 2229)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.686183 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40462, 53276, 66090, 78904, 91718, 104532?\n\"Answer: 12814*h + 27648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 26\/2*(27*6\/270)\/(24\/120)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**1*c*c*c)\/c)\/c)\/c)**8\/(c*c**2*c**(-2\/11)) assuming c is positive.\nAnswer: c**(145\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y + 50*y + 8*y + 59*y.\nAnswer: 133*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 2*d**2 - 2*d**2)*(-37 + 2*d**2 + 37 - 6*d).\nAnswer: -2*d**4 + 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3409 - 1284 - 2*m**2 + m**2 + 364.\nAnswer: -m**2 - 4329","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 81 = -0*s. Let j = s - 113. Let l = 180 + j. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25.13 - 25. Let y = 0.1314 - k. Round y to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218\/(6*(-12)\/(-828)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/22 - (-92)\/(-22). Let b = 3 - -1. Suppose -5*u - 4 + 12 = 4*y, 3*y + b*u - 7 = 0. Sort s, y, 4.\nAnswer: s, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 17453655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y - 4*y - 3*y + 4*y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 471.0037cm in meters?\nAnswer: 4.710037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.33 + -0.05. Let m = g - 0.02. Round m to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 11?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -145, 1 in descending order.\nAnswer: 1, 0.2, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 2893782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 7:33 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q - 1. Let x be u(1). Suppose x*a - 8 = 22. What are the prime factors of a + (1\/(-1) - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*l + 3*l. Suppose 5*q - 95 = -50. What is the greatest common divisor of l and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f + 13*f + 8*f**2 + 3*f - f.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*w - 44*w**2 + 209560 - 209559 - 14*w to c + v*w + n*w**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1376743384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 + -74. Suppose -u = 22*o - 14*o. Which is smaller: 2\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 2:36 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58 + -29 - 37) + (-1 - (-3 - -5)) - 54.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -8. Let z(f) = -f**2 + 7*f - 5. Let y be z(j). Solve y + 4 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1297261021 and 1.027.\nAnswer: -1297261019.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 116040 and -49.\nAnswer: 115991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 185 and (182682\/119)\/18 + (-4)\/14.\nAnswer: 3145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -23*y**2 - 103*y - 7. Let o(k) = -102*k**2 - 411*k - 30. Calculate 2*o(v) - 9*x(v).\nAnswer: 3*v**2 + 105*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*s - 80*s = -21. Let i be (-40)\/48 - s\/(-6). What is the nearest to i in -1, -1\/3, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 1038*n + 148066. Determine y(-171).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7154*h*l**2 + 3364823*h + 13*l**4 wrt l.\nAnswer: -14308*h*l + 52*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 4:07 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 8*u**2 - 10*u - 7. Let z be g(-9). Suppose -1 = -z*w + 3*w. Let r = -56\/5 + 11. Is r > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6278818 divided by -3?\nAnswer: -6278818\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.478 minus 5.27?\nAnswer: -5.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 154 - 28. Let q = -2446 + 2448. Solve 0 = 16*c - f*c + q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1116 = 412*i - 994 + 50 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 9*f. Let p = 221 - 228. Give l(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = 3*j, 4*j + 12 = 4*z. Suppose 3*q - 18 - 79 = z*g, -43 = -2*q - 3*g. What is the greatest common divisor of q and 1073?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 8:53 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 - 117268059*m**3 + 249371400*m wrt m.\nAnswer: -12*m**2 - 703608354*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -1 in descending order.\nAnswer: 9, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 223 - 125. Let w = f + -70. Suppose -17*i + w*i = 440. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.3 + 184?\nAnswer: 201.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) + sqrt(156)*-1*6))\/(2*sqrt(192) - sqrt(12)).\nAnswer: 6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 1 = -47*i + 42, 7 = 2301*i - 2298*i + 4*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129, -265, -397, -525, -649, -769?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3878240 and 1388?\nAnswer: 1345749280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -206 + 142. Let v = h + 69. Let a = 11 - 16. What is the third smallest value in 16, a, v?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 407 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277688 divided by -206.\nAnswer: -1348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -473, -475, -477, -479?\n\"Answer: -2*u - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24aa838 (base 11) to base 8.\nAnswer: 20454227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 79 = t - 89, 3*d - t + 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -266*t. Let f(j) = -j**2. Calculate b(f(c)).\nAnswer: 266*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -40303 divided by 983?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*w + 281, -z + 2*z - 142 = w. Let t be (-6)\/33 - (-4)\/z. Is 0.006 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epdkpeaneneke. Give prob of sequence ae.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.711526 kilometers?\nAnswer: 6711526000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -125*d - 43. What is the tens digit of v(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 15 (b) -0.023363 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2 + 989068620*t + 81521394589058700 = 0. What is t?\nAnswer: -164844770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 15*b**2 - 13*b - 8. Let l = -775 - -789. Determine z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 347*i + 7. Let s(o) = -o**2 - 32*o - 154. Let r be s(-26). Does 17 divide y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0) + -159 + 171 - (35 + -12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - 382*w**2 - 3 + 384*w**2 + 1 - 2*w - w**3 as r*w + a + s*w**2 + u*w**3 + x*w**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n + 5*h = -53, -3*n = 5*h + 41. Let m(z) = 2*z**2 + 7*z - 35. List the prime factors of m(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 8*x**2 - 8*x - 6. Let s be 0*(9\/6 + -2). Suppose s = 3*g + 28 - 7. Let a be t(g). Let u(n) = -3*n. What is u(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d + 160. Let m be f(15). Is 2 a factor of 58*((-117)\/(-130) - (-1)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/40106 + 101508251\/280742. Let z = 30743\/84 - h. What is the common denominator of 2\/(-7)*(-161)\/12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -941 to the nearest 10.\nAnswer: -940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 922, 3115, 7392, 14449, 24982, 39687?\nAnswer: 59260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15508, -31023, -46542, -62065, -77592?\n\"Answer: -2*v**2 - 15509*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*v = 478*v + 600 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**2 + 15*v**2 - 6*v**2 + v**2.\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 386*n**3 - 3*n**2 + 6*n - 148. Let g(t) = 384*t**3 - 4*t**2 + 8*t - 149. Let o(b) = 3*g(b) - 4*r(b). Find the first derivative of o(c) wrt c.\nAnswer: -1176*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30250, -30243, -30232, -30217, -30198?\n\"Answer: 2*p**2 + p - 30253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 8*v + 3. Let o = -75 - -49. Let r be (-186)\/o + 2\/26*-2. Calculate the remainder when m(r) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15073560*h*t**2 - t**2 - 72*t + 3638 wrt h?\nAnswer: -15073560*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -10242 and -440422\/43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/5, 3\/5, 0.3, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*q + 48, -151 - 162 + 466 = -5*q + 3*i + 147 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - r = -48, 0 = -2*s - 3*s - 2*r + 234. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5151933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1764124202 - 0.17.\nAnswer: 1764124201.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 15. Let z be (19 + -19)*(-1)\/w. Solve z = x - 4*x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**6\/60 + g**5\/15 + g**4\/12 + 10*g**2. Factor p(z).\nAnswer: 2*z*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-2) - 18\/24. Sort 5, -3, a.\nAnswer: -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*y + 90*y + 74*y + 87*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 3*x + 27. Which is the nearest to -0.1? (a) x (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-22884)\/8)\/((-30)\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7813114, 7813111, 7813096, 7813063, 7813006, 7812919?\nAnswer: 7812796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025 a factor of 6662250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5)\/q)**42)**(-4\/3) assuming q is positive.\nAnswer: q**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**2 - 412146*s + 70977864 = 0. What is s?\nAnswer: -137554, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14 - (-6 - 13)) + 1143 + -2 - 2. What is the highest common factor of 517 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f + 5*o + 12, 2*f - 28 = 5*o. Let g = 7 - f. Differentiate 7*y**2 + 19*y + g - 19*y wrt y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5808 (b) -2 (c) 1 (d) -6 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 a when four letters picked without replacement from apppaaaapapaa.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 23006\/2 + 64\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**2 - 18*s - 7. Is g(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 2371896?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*n + 9, -2*z + 4*n + 25 = z. Let s(u) = -15*u**3 + 13*u**z + 3*u + u - 2*u**2 + 3 + u**2. Calculate the remainder when 142 is divided by s(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 4*r**2 + 5. Calculate the lowest common multiple of w(3) and 5*1\/((-5)\/(-16)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6990 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 5. Let h be k(-4). Suppose h*p = 8*p + 5. Which is smaller: p or -2\/117?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 110 + 112 - 6*t - 22*t)*(-3*t - 2*t + 4*t)*(-2*t**2 + 2*t**2 - 4*t**2).\nAnswer: 4*t**5 - 112*t**4 + 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 10:56 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 909427 and 689?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21555 + 7748*y + 7733*y - 21551 - 15490*y.\nAnswer: -9*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 - (-12 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 - 1664*v\/5 + 10056\/5.\nAnswer: -2*(v - 6)*(v + 838)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.05, 2, 1\/19, 0.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -369348.53255 from 4.\nAnswer: 369352.53255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -1189 (base 14) to base 13\nAnswer: -1516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t - 1. Let r be l(1). Let c(a) = -a**2 + 9 + r*a - 9. Let s = 4 - -2. Determine c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqrrrrrrqqrrrr. What is prob of picking 2 r and 2 q?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 6. Let a be j(-6). Let f = -56 + 59. Suppose -4*z - 18 = 4*w - 2*w, -12 = f*z. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 381 + -1515\/4. Let x = 68639121\/1330 + -103221\/2. Let f = x - 14\/95. Find the common denominator of f and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 12*o**2 + 17*o - 5. Let i(g) = -4*g**3 - 34*g**2 - 51*g + 17. Let u(p) = -7*b(p) - 2*i(p). Determine u(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 21. Suppose 5*n - 3*n - 10 = w. Suppose 798 = n*q + 2*y, 3*q - 479 = -0*y - y. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3273659\/5 <= -654733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 4*q. Let s be r(-4). Let x be 1*(0 + 1) - 2. Let a = -29 - -25. Sort a, s, x in descending order.\nAnswer: s, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 4*d + 26, -4*s + 3*d = -1 + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5483 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((5 + sqrt(432) + 2*sqrt(432) + sqrt(432) - (1 + sqrt(432)*-2 - sqrt(432))**2) + 0)*2*4 + -1).\nAnswer: -31073 + 960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2696, -10450, -23376, -41480, -64768, -93246, -126920, -165796?\nAnswer: -209880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 103 = -y + 16, -3*y = -9. What is the remainder when 164 is divided by (4\/6)\/(u\/(-3105))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20234324 (base 7) to base 16\nAnswer: -19c760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h - 2. Suppose b - 5*u = -u + 14, -3*b + 18 = -4*u. Suppose -2 = -b*k + 10. Calculate the remainder when n(k) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -277495\/690438 + -1\/20307. Find the common denominator of 151\/12 and t.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2712 and 47\/9492?\nAnswer: 18984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21696 and 4060896.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -62*t**3 - 4*t**2 + 4*t + 11. Let x(o) = o**3 - 1. Let a(l) = f(l) + 4*x(l). Is a(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135310731?\nAnswer: 3, 45103577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 12047*c - 4521*c - 7516*c - 5945*c - 2*c**2 in the form m*c + i*c**2 + z and give m.\nAnswer: -5935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-4)\/(-2))\/4)\/(13\/(-130)). Let a(z) = -z**2 - 2*z + 2. Let l(f) = 3 + 2*f - 3*f - 2. Let b(y) = h*a(y) + 10*l(y). Factor b(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*(sqrt(33)\/sqrt(3) - sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 4)\/((-54)\/7803). Is -577 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503.01 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 14*j**2 - 47*j - 49. What is the remainder when 754 is divided by p(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1619656981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 711 - 502. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -8*o**2\/13 + 290*o\/13 - 1302\/13 = 0?\nAnswer: 21\/4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-5))\/(24\/(-180)). Solve 5*i = 4*r + i + j, r = 5*i + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*c**2 - 20640 + 20640.\nAnswer: -368*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2004 and 63\/1336.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 290?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 - -3)\/((-90)\/(-18)))\/((-2)\/20). Let i = 97\/3 + -34. Let v = -18 + 23. Which is the second biggest value? (a) v (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-348)\/464*(-8)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*r + 4 + 20*r + 5 - 5 + 71*r to b*r + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 at most -3736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + w + 1428, 4*w = 8*b - 3*b - 1796. Suppose -2*v + 3*v - 5*h + 81 = 0, -4*h = -4*v - b. Let i = 1 - v. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-6))\/(2 - 39\/24). Let z be -12*(k\/16 - (-1)\/(-4)). Solve 4*n + 5*m + 5 = 0, 2*n + 2*m + 30 = z*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.4312 and -34.\nAnswer: -35.4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 2672.\nAnswer: 2671.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:42 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4*l**3 - 7*l**2 - l**3 - 2796369*l + 2796371*l to i + f*l + o*l**2 + z*l**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(66)\/sqrt(2)*-2)\/sqrt(3).\nAnswer: -2*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/2 + 140362344*w - 3283597935529056.\nAnswer: -3*(w - 46787448)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 350 by -3.\nAnswer: -350\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11425296 by -6.\nAnswer: -1904216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -27*l**2. Let m(b) = 16*b + 11*b + 13*b + 0*b - 13*b. What is i(m(f))?\nAnswer: -19683*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*l + 21, 3*x = 2*l + 2*x - 1. Suppose 5*k + l*t + 367 = 0, -2*k - t + 29 = 176. List the prime factors of k\/((-2)\/(-3)*-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 11 = 3*p, -4*p = 2*y - 0*p. Suppose -4*t + 88 = -3*x - x, -t = y*x + 59. Is (-2)\/6*x\/6*50 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -14 - 2. Suppose 2*p = -k*m + 16, -4*p - 33 = -5*m - 2*p. Calculate the remainder when 12 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14 + 1 - (-4 - -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 270\/11, -90, 5, -0.4 in increasing order.\nAnswer: -90, -0.4, 5, 9, 270\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9459 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111001010100010001100 (base 2) to base 4.\nAnswer: -113022202030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -2*s**7\/21 + 34*s**4\/3 - s**3\/3 + 30*s**2 + 83*s - 3. What is the second derivative of c(g) wrt g?\nAnswer: -80*g**3 + 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 1, v: 1}. What is prob of picking 1 v and 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.13, 1.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -391.1 - 104.9. Let f = s + 499. Which is the third smallest value? (a) f (b) 3\/7 (c) -4\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 9*g + 2. Let l be f(-9). Let r = l + 2. Let z = -4 + 3. Which is the nearest to z? (a) r (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*i + 16, l - 9*i + 0*i = -8*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/30 - 13*m**4\/8 - 62*m**3\/3 - 75*m**2. Differentiate d(t) with respect to t.\nAnswer: 4*t - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52633403070 plus 2?\nAnswer: 52633403072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142312824 and 31356.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-98))\/(3932\/13762).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 7321*y**4\/24 + 5129*y**3\/6 - 1265*y**2. Find the first derivative of v(z) wrt z.\nAnswer: 7321","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -23*w**2 + 6*w + 24. Let s be d(-3). Let p = s - -202. Which is the biggest value? (a) 0.02 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9623111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -162*b**5\/5 + 26682*b**4\/5 - 100346*b**3 - 151338*b**2\/5 + 6292*b\/5 = 0.\nAnswer: -1\/3, 0, 1\/27, 22, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 47*g + 547. Give t(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142865604.\nAnswer: 2, 285716401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 2*y + 4*k - 4, 4*k = -y + 2. What is the third derivative of -58*u**4 - 12505*u**3 + 12505*u**3 - 115*u**y wrt u?\nAnswer: -1392*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 - 8*g**3 + 7180*g**2 - 7191*g**2 + 3*g**3 - g**3 - 3*g**3 + (-3 - g**3 + 3)*(11 + 2 - 5) + 2*g**3 - g + g.\nAnswer: -14*g**3 - 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.006 - -20.\nAnswer: 19.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 - p**2 - p + 1. Let r(c) = 196*c**3 + 2*c**2 + 2*c + 322. Let l(v) = -2*o(v) - r(v). Differentiate l(y) wrt y.\nAnswer: -606*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 11.8, -5, 0.2, -0.4, 50 in descending order.\nAnswer: 50, 11.8, 0.2, -0.4, -1.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 12\/8)*-4. Calculate the highest common divisor of 266 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 4 + 4 + (-3*j - j + 3*j)*(-5 + 4 + 3) - 3*j - 6*j - 9*j.\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12190588112 and -28.25.\nAnswer: -12190588140.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 - 5*w**3 - 16*w**3 + (2 - 2 + 2*w)*(4*w - 4*w + w**2).\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from {a: 1, r: 1, e: 1, k: 1, q: 2, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -899.9824 - 0.0176. Let p = m - -863.7. Round p to 0 decimal places.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012698 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6*0.02\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1095450, -4381707, -9858776, -17526657?\n\"Answer: -1095406*c**2 - 39*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2. Let a(p) be the second derivative of 101*p**4\/12 - 2*p + 68. Give y(a(i)).\nAnswer: 20402*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5657538259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 85, 168, 251?\n\"Answer: 83*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1650*k + 25. Let b(m) = -136*m + 2. Determine -100*b(g) + 8*n(g).\nAnswer: 400*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15716 = -18*f - 7826 - 7764 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3 + 162*d**2*o - d**2 - 892*d*o + 4*d wrt d?\nAnswer: 12*d + 324*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 60, 3, 0.7.\nAnswer: -4\/3, 0.7, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2*d**3 - 7*d**3 - 790*d - 4 + 786*d - 5 - 22*d**2 to the form c*d**3 + u + s*d + z*d**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - (sqrt(91)*-3 - sqrt(91))*5)\/(sqrt(112)*1).\nAnswer: 21*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 0*q + 2*q - 21 + 16 as b + g*q and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 497*x**6 - 34*x**3 + 0 - 502*x**6 + 5*x**3 - 17*x**3 + 2 + 136*x**2 wrt x?\nAnswer: -600*x**3 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*v - k = -138*v + 54, v = -2*k + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15302819 or 15302837?\nAnswer: 15302819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2*r**2 + 8)*(18*r - 2*r + 184*r).\nAnswer: -400*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 (base 10) in base 15?\nAnswer: -e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00191011 to five dps.\nAnswer: -0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -81.196 and -0.5.\nAnswer: 40.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - (6 - (-74 + 0)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1016 + 3348. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*l = 16*l + 45*l - 68, -2 = 2*x - 5*l for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -6 + 5 + 6 + (-5 - 2) + 0?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 13947.\nAnswer: 20\/13947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - -3*sqrt(48))\/(sqrt(294)*-2 + sqrt(294)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.73 * 45.1.\nAnswer: 123.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17443061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6051049 to the nearest integer?\nAnswer: 2460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 20870980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**17\/(b*b\/((b*b*b\/(b*b\/b**(-1\/3))*b)\/b*b)))**(24\/11))**24)**23 assuming b is positive.\nAnswer: b**(220800\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1068)\/(-105) + -9 + 12\/(-20)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 684, 804, 948, 1122, 1332?\n\"Answer: k**3 + 6*k**2 + 95*k + 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2065*f - 2500 = -4*z + 2067*f, -4*f = 5*z - 3112. Suppose 3*r = 101 + 43. Calculate the greatest common divisor of z and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*x - 486 = -73*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1573821 and 1863.\nAnswer: 14164389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*c**2*m - 19*c**2*x + 2088723*c*m - 796*c*x + 161*m*x wrt x.\nAnswer: -19*c**2 - 796*c + 161*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2 - 1847*r - 5550 = 0. What is r?\nAnswer: -3, 1850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 654 - 698 = 0. Let q = 529 + l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6498, 12976, 19452, 25926, 32398, 38868, 45336?\nAnswer: 51802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 243550751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.8, -0.08 in descending order.\nAnswer: 0.3, -0.08, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + q**2 + q**2)*(-47*q + 70*q + 1 - 68*q).\nAnswer: 90*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 + 9 = r, r + 4*g = -9. Suppose z - f + r = 0, 4*z - f + 2 - 5 = 0. Let n(k) = -k**z - 2*k**2 + k**2. Let o(w) = -w. Give n(o(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 122\/153 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13444523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 10:54 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 30447, 0.3, -5 in ascending order.\nAnswer: -5, -2\/7, 0.3, 30447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 5:05 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -217\/39070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: 239\/(-3585) + (-74)\/15 - 214\/(-42)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3704 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13876, -55508, -124900, -222058, -346988, -499696?\n\"Answer: -v**3 - 13874*v**2 - 3*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1965)\/3537*(-1 + 5\/2).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1253*l**3 - 17*l**2 - 4*l + 14. Let r be b(-1). Solve r*a - 1258*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 898, 1796, 2694, 3592?\nAnswer: 4490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 less than 11012?\nAnswer: 11012.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62*u**5 - 2060*u**2 + 2060*u**2 - 4*u**5 + 0*u**5 + 2*u**5 + (-2*u**3 + 2*u**3 - 2*u**5)*(2 - 1 + 1).\nAnswer: -68*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38342198\/279 - 274855\/2. Find the common denominator of -43\/2232 and j.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-926*n**5 - 176*n**5 - 737*n**5)*(-1 - 4 + 3).\nAnswer: 3678*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 f when three letters picked without replacement from fbffbafabufa?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-90)*5*((-39)\/9)\/13. Sort z, 0.1, -0.284 in ascending order.\nAnswer: -0.284, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1250 (base 8) to base 16.\nAnswer: 2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5\/9 - 16*i**4\/9 - 44*i**3\/9 - 16*i**2\/3 - 2*i.\nAnswer: -2*i*(i + 1)**2*(i + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 2:07 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 194777249?\nAnswer: 194777249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 419657\/56232 + -1465\/198. What is the common denominator of s and 29\/15?\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37803656 divided by -4\nAnswer: -9450914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53577631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/5)\/(((-1804)\/(-1599))\/44).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79234087.\nAnswer: 137, 211, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7146 - 3355. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209858089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/62 and 6\/223?\nAnswer: 13826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 2, y: 2, w: 3, p: 6}. What is prob of picking 1 p and 1 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 52, 2\/9, 1, -18?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 8*k + 36. Let m be x(3). Suppose -4*f = -d - 19, m*f - d - 2*d - 3 = 0. Solve -5*z = 21 - f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -861 at least as big as -862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117999 and 2307.\nAnswer: 90741231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.411939ms in minutes?\nAnswer: 0.00000686565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3 - 6 - c - 1. Let s be h(-6). Suppose -21 = -3*z - 3*m, 4*z - m - 19 = -s*m. Solve 0 = d - o + 1, 0*o = z*d - 3*o + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 770530 from -4.\nAnswer: -770534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*i = -5*k - 2, -22 = 2*k - 2*i. Let b(s) = -s**3 - 7*s**2 + 57 - 52 - 2*s - s - 4*s. What is b(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1240204 + 2?\nAnswer: -1240202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d035e + 1?\nAnswer: d0360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2\/7)*k)**(-32)\/(k\/(((k\/((k**(-2\/9)*k)\/k))\/k)\/k*k)*k**(-3\/5)) assuming k is positive.\nAnswer: k**(-27416\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 380240 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5576 + 5513.7. Is n at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1480 + 3*d**2 - 12*d**2 + 15*d**2 - 1480 + 3*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-9))\/(-35)*(-21)\/42*(-26)\/(-3)?\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24198719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 - 4*c**2 - 22*c**2 + (-2*c + c + 2*c)*(4*c - 4*c - c) to the form z*c**2 + u + o*c and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -58686.614 rounded to the nearest 10?\nAnswer: -58690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (24\/20)\/(-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 - 2)*(-1 + 0 - 1) + 1 - 1 - 3)*(-205*i**4 - 2*i**3 - 312*i**4 - 230*i**4) as b*i**3 + d*i**4 + x*i + w*i**2 + y and give d.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + c - 5*k, c = -5*k + 30. Suppose -q = -3*a + 95, -q = c*a + q - 162. What is the highest common divisor of a and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 253 - 48*j + 253. Let n(q) = -10*q. Give z(n(i)).\nAnswer: 460*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 0*x + 31\/60*x**5 - 41\/2*x**2 + 17\/3*x**3 + 33 + 0*x**4. Let w(i) be the second derivative of l(i). Differentiate w(q) wrt q.\nAnswer: 62*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 14 - 2. What is the remainder when 4 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Let a = 2 - 2. Let p be 29\/(((-38280)\/(-32))\/165). Solve d*z + a*z = p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19342, 0.2, 5 in ascending order.\nAnswer: 0.2, 5, 19342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Suppose t*r - 22 = 2*r. Let n(d) = -15*d**2 - 2*d - 11. Let g(f) = -8*f**2 - f - 6. Let s = 11 - 17. Determine r*g(l) + s*n(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 722987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 2*b - 69 + 55, -11*i - 2*b = 32 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 - 86. Let w(z) = -h*z + 6*z + 2*z - 11. Let m(k) = k - 5. Let p be m(5). Give w(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (26\/11 - 2)*(-5)\/(-10). Let o = -17 + 17.7. Sort o, g, -0.3.\nAnswer: -0.3, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 22. Let d be (v\/(-10))\/(14\/35). Is d at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95594187 is divided by 848.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 323251778 greater than 323251777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-39) - (-1)\/26*17.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j - 2*v, 4*v = -5*j - 48 + 56. Solve 0 = -j*d + 11*d + 44 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -98a2 - -3?\nAnswer: -989f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = -m, m - 2*p = -4*p + 2. Let k(y) be the first derivative of 0*y + m*y**2 - 1 - 1\/10*y**5 - 1\/4*y**4 - 1\/6*y**3. Factor k(f).\nAnswer: -f**2*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 3:45 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 5*w - 6. Let l be i(6). Sort l, 5, -1 in decreasing order.\nAnswer: 5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 95 + 297. Let o = d + 37. Let a = -39 - o. What is the highest common factor of a and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 14*z + 54*z + 21 - 70*z. Let g(n) = 1. Calculate b(w) - 6*g(w).\nAnswer: -2*w + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**5 + 3260*q**4 - 3541446*q**3 + 1280820796*q**2 + 1284365503*q = 0?\nAnswer: -1, 0, 1087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17677.\nAnswer: 11, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*n + 31*n**2 - 45*n)*(-1247*n - 2010*n + 80*n - 1386*n) as o + c*n + k*n**2 + z*n**3 and give z.\nAnswer: -141453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -7*f + 2*f + 25, 3*n - f + 5 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 8*i**2 + 25*i - 99. Let v be q(6). Let w be (-136)\/(-20) - (-126)\/v. Factor w*g**3 - 28\/5*g**2 + 64\/5*g - 48\/5.\nAnswer: 4*(g - 3)*(g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16614594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlmllbmmzggz. Give prob of sequence wbg.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2305*k - 26857 + 16995 - 107693 = 0 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 times -0.1\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8144 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from aagggagggnggggg.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 4*o**3)*(2 + 1 + 7)*(0 - 1 + 3) as z + q*o**2 + m*o + k*o**3 and give k.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-4))\/(((-6)\/20)\/((-216)\/(-540)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 18, -1, -1\/20, -0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 370608, 0 in descending order.\nAnswer: 370608, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*(w\/(w\/(w**(-21)*w)))\/w*w*w*w)\/w)\/w*w**(-6\/5) assuming w is positive.\nAnswer: w**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -246459680 to the nearest ten thousand.\nAnswer: -246460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 + 5*v**2 + 2*v + 11. Let b(f) = f**3 - 1. Let z(r) = -3*b(r) - h(r). Does 10 divide z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**3\/3 + y**2\/2 + 53*y - 33. Let h be g(-7). What is the remainder when 94 is divided by -13*(-10)\/(2 - h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24*(-15)\/2080)\/((-9)\/24)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 0*p**4 + 0*p**5 + 0 - 8*p - 17\/30*p**6 + 0*p**3 - 19\/2*p**2. What is the first derivative of t(o) wrt o?\nAnswer: -68*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 13 - 23)*(1 - 1 + 2*t).\nAnswer: -54*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -19. Let r be (l\/20)\/(6\/(-8)). Let p = -24 - -27. What is the third smallest value in r, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140122303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6425756 (base 10) in base 14?\nAnswer: -bd3a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1916 and 123\/40.\nAnswer: 19160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1953584637 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5965188 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 506 = -26. Suppose 4*o = p + 226, o + 16 = 4*p + h. What is the remainder when o is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/74 - 21\/185. Find the common denominator of h and -41\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/(-552))\/(((-1)\/11)\/(-1)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -53, -249, -575, -1031, -1617?\n\"Answer: -65*t**2 - t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-3)\/3*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*g**3 + 7*g - 29*g**3 + 15*g**3 - 1 to z + y*g**3 + b*g**2 + j*g and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Suppose v*s = 4*s - 2. Solve s*r = 3*r + 2*w - 12, -r + 3*w - 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 4:29 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 10 + 11 - 308*d.\nAnswer: -304*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 3 - 27 - 26 - 7*z.\nAnswer: -7*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17458 and 3374875.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, x: 6, q: 10}. Give prob of picking 3 q and 1 n.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5, -0.03, 6\/43, -1.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6475.89545 to 0 dps.\nAnswer: 6476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 5:26 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -42. Let z(v) = -6*v**2 + 5. Let a(k) = -7*k**2 + 6. Let l(g) = j*z(g) + 5*a(g). Let o(w) = 11*w**2. What is o(l(d))?\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.8 - -9.2. Let z = o - 37. Which is the closest to z? (a) 3 (b) -2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.647486km in millimeters?\nAnswer: 1647486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 1:46 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 6*k**2 + 9*k + 9. Suppose 15*d - 16 = 13*d. Let m be a(d). Round m to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 11 - 35. Let g(r) be the third derivative of r**6\/120 + 2*r**5\/15 - r**4\/6 - r**3 - r**2. Calculate the remainder when 128 is divided by g(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*c - 1 - 11, w + 3*c + 8 = 0. Suppose 263*u + 18 = 272*u. What is the highest common divisor of w and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -170 - -165.6. Let z = -4.39784 - h. What is z rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 223 - 63. Let t be 1\/(4*(-5)\/d). Solve w = t*w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpwxwwpwwwwwvx. Give prob of sequence vxw.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a\/(a**(-4\/5)*a)*a)\/a)**(2\/41)\/(a\/(a**(-3\/13)\/a)*(a*a**(-1\/29)*a)\/a) assuming a is positive.\nAnswer: a**(-236469\/77285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/8628 and -99\/46.\nAnswer: 198444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21625468 (base 9) in base 6?\nAnswer: 1012214442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 64\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from cckacykca?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -36361 (base 10) in base 16?\nAnswer: -8e09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*r**2 - 43*r**2 - 45*r**2 - 45*r**2 - 22*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0, -5\/6, -987, 1, -8.8 in decreasing order.\nAnswer: 1, 4\/7, 0, -5\/6, -8.8, -987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 844 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*s + 2*s + 216. Sort -74, 0.5, s in decreasing order.\nAnswer: s, 0.5, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -442 - -303. Which is the third smallest value? (a) 4 (b) t (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -44825*a + 268972. Calculate q(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2*v - 3*v + 2*v)*(v + 2*v - 9*v) to the form z + f*v + y*v**2 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 1.5. Let i = -1.3 + r. Let n = 240 + -2156\/9. Sort i, -4\/7, n in descending order.\nAnswer: n, i, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/5 - 27*i**2\/5 - 24*i\/5 + 52\/5 = 0. What is i?\nAnswer: -26, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73417294*g**2 + 10730394*g wrt g?\nAnswer: 146834588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0 - 1\/120*c**6 + 0*c**5 + 2*c**2 + 0*c + 1\/3*c**3 + 1\/24*c**4. Calculate y(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -1.8, 1.6, -5, 0.4, 20?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -683*p**7\/42 - 105*p**4\/4 - 863*p. What is the third derivative of l(q) wrt q?\nAnswer: -40980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - c**2 + c**2 + 24 to the form q + t*c + s*c**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6*o = 0. Let u = 1 + 3. Let m = 6 - u. Solve m*t + o*t = 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**6\/15 + p**5\/12 + 3*p**4\/8 + 441*p**2. Suppose -2 + 0 = -t. Let m(h) = -2*h**3 - h**2 - 2*h. Determine t*c(v) + 9*m(v).\nAnswer: -2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-65)*(-1)\/(-28)*10.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/2013886 and 31\/3842.\nAnswer: 34236062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96965 and 88150.\nAnswer: 969650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 415 times 2\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*n - 11 = -0*s, 0 = s + 2*n + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 4*t**2 - t - 3. Let w be y(-4). Let o(m) = 17*m**3 - 2*m**2 + m. Let u be o(w). Solve 2*c + u = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8463 divided by 273.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12 - 2 - 4 - r. Suppose -l + 2 = -i, 3*i - 2*l - 3 + 14 = 0. Calculate the remainder when 25 is divided by m(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 3*b**2 - 2*b**2)*(-5*b + 0*b + 3*b)*(-85 + 129 - 551).\nAnswer: -1014*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1975*w**2 + w**3 + 29*w - 17*w - 11*w - 3*w - 3*w**3 to m + h*w**2 + z*w**3 + a*w and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4626 - -7345. Suppose -90*z + 89*z + m = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 103645056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065351362?\nAnswer: 2, 4789, 111229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 - (-25)\/2*14. Round y to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0*m**5 + 0*m**2 + 0*m**7 + 0*m**6 + 0 - 5\/28*m**8 + 0*m**3 - 4\/3*m**4 + 39*m. What is the third derivative of k(w) wrt w?\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, v: 1, o: 1, b: 1}. Give prob of sequence iv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2 + 77524*k + 751246322 = 0.\nAnswer: -19381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-12)*(-63)\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + -54 + -14 + -45 - -23.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 132.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 35. Solve -2*v + 4*q + 19 = 5, 5*q = v - l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04491296 to three decimal places.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10100330 - -4?\nAnswer: -10100321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 75, -1\/18, 4?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 63000\/(-106820) - (44\/(-462))\/((-1)\/(-6))\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 10:59 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*w + 1604 = 0, -2*i + 17*w = 14*w - 1606. Let b = i + -81. List the prime factors of b.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(30\/(-51)))\/(2\/(-14)). Let u = -89 + t. What is the highest common divisor of 240 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 858 (base 10) to base 3\nAnswer: 1011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:57 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + -4 + 4 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2407092672 - -0.1.\nAnswer: -2407092671.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*f + 54*f = -335. Suppose f = -17*j - 86. Let c(l) = -l**2 - 11*l + 1. What is c(j)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 95*u - 47. Let q(m) = 81*m - 46. Give 3*q(c) - 2*r(c).\nAnswer: 53*c - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**3 - 4*p**2 - 4*p - 3. Let m(f) = f**3 + 1. Let o(z) = g(z) + 3*m(z). Solve o(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 965*j**2 - 57945*j - 681615.\nAnswer: 5*(j - 243)*(j + 17)*(j + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20718 (base 9) to base 10.\nAnswer: -13706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m\/m**(-8)))*m)\/((m\/m**1*m)\/m*m*m*m) assuming m is positive.\nAnswer: m**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighty-seven fifths of a milligram?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 25576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 213 divided by 3\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2653655 is divided by 153?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1267801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-4) - 59)\/((16 - 2)\/7)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rouf when four letters picked without replacement from {o: 2, f: 7, e: 4, u: 1, r: 1}?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59990.502010614 - -646.554017586. Let r = -60767.056 + m. Let t = -130 - r. Round t to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26, 65, 122, 191, 266, 341, 410?\n\"Answer: -f**3 + 15*f**2 + f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**4 + 9*f**4 - 5*f**4 + f**4 + 3*f - 3*f + (1 - 4 + 1)*(0*f**3 + 0*f**3 - 2*f**4) + 1 - 6*f**4 - 1 - 2*f.\nAnswer: 11*f**4 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 = -z. Suppose j - z = -j. Suppose l = -0*l - 1, -4*l = -j*c + 29. Solve -i = -c*i + 4*q - 12, -3*i = q - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - -1)*(-36)\/(4104\/722))\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 184.7 + -176. Let r = k - 9. Which is the third biggest value? (a) r (b) -4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (1 + 2 + -1). Let c(p) = -3*p. Let z(l) = -2*l + 2*l + l. Suppose 0*s + 1 = -s. Determine g*c(a) + s*z(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215850663 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -2*k**3 + 5*k - 1\/4*k**4 - 22 + 1\/2*k**2. Determine s(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 13. Let y = -6 - t. Suppose 0 = 3*k - y*q + 15 - 83, 10 = k + 5*q. What is the remainder when k is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31424\/21 or -1497?\nAnswer: -31424\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707 + 2*f - 4*f**2 + 7*f - 62*f + 6*f**2.\nAnswer: 2*f**2 - 53*f + 707","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f**2 - 5*f*m**2 + 2*f*m - f - 4853*m**2 wrt f?\nAnswer: 10*f - 5*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107225841.\nAnswer: 3, 35741947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 + -3 - (-3 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17645 (b) -0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Let a(f) = -f. Let c(v) = -5*a(v) + 6*i(v). Let w(x) = -4*x**2 - 33. Let z(p) = 2*p**2 + 18. Let h(q) = 6*w(q) + 11*z(q). What is c(h(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*r = 26*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 0. Suppose 0 = -2*j + j + 4. Suppose -m - 2*x + 8 = 0, j*m + 0*m - 6 = k*x. Solve 0 = 2*v + m + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 1\/40*z**5 - z + 0*z**3 + 11\/120*z**6 + 0*z**2 + 1\/14*z**7 + 0*z**4 + 132. Factor k(s).\nAnswer: s**3*(3*s + 2)*(4*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**4 + p**2 + 13*p - 10*p - 6*p in the form s*p**3 + v*p**4 + q + u*p**2 + h*p and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.7 + 15.8. What is the third biggest value in p, 3\/2, -1\/2, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.149 and 3654.\nAnswer: 3654.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 350473.\nAnswer: -20\/350473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, c: 10, t: 1, n: 3, w: 1}. Give prob of picking 3 n.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33123558 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f - 3. Let s(y) = 2*y + 1. Let t be s(f). Let d = 3.8 - 4. Which is the third smallest value? (a) t (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -326334*c**2 + 4723577.\nAnswer: -652668*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 5*d**2 - 2*d + 4. Let t = -14 - -19. Let m be i(t). Let c(o) = 3*o**2 - 2*o - 9. Is c(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -14. Let i = 48 - 47.95. Which is the biggest value? (a) i (b) -4\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((315\/(-4))\/(-15))\/(4\/(16\/12))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -1 (c) -9112 (d) -3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 1. Let n(j) = 9*j - 9. Determine n(s) - 4*p(s).\nAnswer: s - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + 0 + ((sqrt(1300) + 0)*-5 - (sqrt(1300) - (sqrt(1300) + (1*sqrt(1300) - sqrt(1300)) + -1))) + -3)**2.\nAnswer: -162505 - 500*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-30)\/(-5)*(-6)\/45.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**6\/1260 + s**5\/70 + 3*s**4\/28 - 8*s**3\/3 - 5. Let z(o) be the third derivative of d(o). Factor z(g).\nAnswer: 2*(g + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2622 by -11.\nAnswer: -2622\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69cb4 (base 15) to base 6.\nAnswer: 11120054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60602092 is divided by 397.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11180269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Let l be (-30)\/(-10)*(-2)\/18. Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6652 or -6654?\nAnswer: -6654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5363.7 rounded to the nearest 100?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 266022.13936261\nAnswer: -266025.13936261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 247 + 33. Let o = 276 - r. Which is the biggest value? (a) -2\/11 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 27*a + 14*a + 45 + 13*a + 3.\nAnswer: 5*a + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 364204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0 + 48. Let k = d - 13. Suppose 6 = 3*v - 5*c, -4*c = -k*v + 8 + 1. Calculate the greatest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4459028.\nAnswer: 2, 7, 163, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -87553?\nAnswer: -8754a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123080 - 2*o - 123080.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 6, 2*c = 3*v - 4*v + 2. Suppose -v = -14*r + 10*r. Suppose r*u + 22 = x + 5*u, 0 = x + 4*u - 18. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007343 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -20*q**2. Let o(w) be the first derivative of -3*w**2\/2 + 35. Let n(z) = -2*z. Let l(x) = -5*n(x) + 3*o(x). Determine g(l(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 21320011332?\nAnswer: -21320012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwiwiw. Give prob of sequence iwiw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f3 - -1?\nAnswer: f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 2*y**2 - 4*y + 5. Suppose -2*i = -4 - 4. Let d be r(i). Is 2493\/d + 2\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 2*s**2 + 9679*s - 2*s**2 - 9679*s + s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 4*m + 3*m)*(-2*m + 0*m + 0*m)*(-9*m - 4 + 4 + (1 - 1 - 2)*(2*m - 4 + 4)).\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/10*-4 + 264\/(-495)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p. Suppose -5*a + 6 = -3*h, p = h - 6*h + 15. Suppose -103 = -5*g - a*s, -4*g - 4*s + s + 80 = 0. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253728573.\nAnswer: 3, 7, 37, 326549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 733107 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 3:09 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.223 - 0.777. Suppose 0*c = c. What is the nearest to c in z, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 397.7*1.9.\nAnswer: 755.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n + 21 - 1387 = -310 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.9 - -8. Let q = 0.1 - s. Is q smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 18*c**2. Let b(q) = -9*q + 16. Let h(i) = 36*i - 60. Let p(n) = 15*b(n) + 4*h(n). What is p(a(g))?\nAnswer: 162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, -0.1, -0.6, -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13523560.942469642 + -740390651.057519058. Let t = 753914181 + u. Let y = 31 + t. Round y to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/12)\/((-4)\/(-16)). Suppose 0 = -3*c - 4*n - 59, -4*n = j*c + n + 64. Let v(u) = 6*u - 2. Let i be v(1). Put c, i, 3 in decreasing order.\nAnswer: i, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*v - 50, -2*i + 3*v - 20 = -4*i. Let b be (-4)\/6*(-185)\/i. Suppose 4*k - 2*p = -k + 61, 4*p = 3*k - 45. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 4*g + 1. Suppose 5*n + 149 = -11. Let o = n - -37. Determine s(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(7)*-2 + 0 - (-2 + sqrt(448))))**2 + (-3*(-2 + sqrt(1008)) + -3)**2.\nAnswer: -276*sqrt(7) + 9790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -551, -822?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6596060878?\nAnswer: 2, 11, 59, 103, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1115153 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 7*n - 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70613*s**3 - 71162*s wrt s?\nAnswer: 423678*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-2*f**3 - 12*f**3 + 26*f**3)*(-5*f**2 + 2*f**2 + 5*f**2) + (1 - 1 + f)*(-14*f**4 - 63*f**3 + 63*f**3).\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 330100 (base 4) to base 11\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6168.698 kilometers in nanometers?\nAnswer: 6168698000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 24. Calculate the greatest common factor of 16 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**4 + o - 1. Let b(t) = 60*t**4 - 73*t - 3. Let s(i) = 5*a(i) - b(i). Find the second derivative of s(h) wrt h.\nAnswer: -660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + (13 - 17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -2593, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2528 - -4127. Is 41 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5515444289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17, -105, -371, -905, -1797, -3137, -5015?\n\"Answer: -15*u**3 + u**2 + 14*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3849 + 5390. Suppose 6*f - d = 541. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3, 70, 209, 426, 733?\n\"Answer: 2*w**3 + 21*w**2 - 4*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2089, -4147, -6207, -8269?\n\"Answer: -d**2 - 2055*d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 11*h**2 - 2*h - 1. Suppose -5*s - 164 = 4*p, 0*s + 4*s + 133 = -5*p. Calculate the remainder when (1 - s)*4\/6 is divided by a(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + -2 - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 2*w - w)*(-5 + 2 + 1)*(w + 4*w - 2*w)*(8 + 20*w**2 - 5 - 12*w**2) to j*w**3 + f*w + i*w**2 + c*w**4 + b and give c.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttbbbbbb. What is prob of picking 1 t and 3 b?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2311.\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 divided by -26.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4170914221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 + -6 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**3 - 8*x**2 - 2*x + 6. Let t = 46 + -44. Suppose 4*w + 6 = t*w. What are the prime factors of j(w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4455*d**4 - 3*d**2 + 2*d + 23968.\nAnswer: 17820*d**3 - 6*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 439371833?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 2. Suppose -26 = 4*t - 42. Suppose s = 2 - 0, t*s = -2*n + 2. Let u be (-2)\/(-8) + (3\/4)\/n. Determine b(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6953, -13906, -20845, -27764, -34657, -41518, -48341?\n\"Answer: g**3 + g**2 - 6963*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 138 - 238. Let q be x\/20 - (-142)\/(-60). Which is the nearest to 2\/5? (a) 3 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h - 12*h - 19*h to the form m*h + w and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2309ae - -2?\nAnswer: 2309b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8827 divided by -15047.\nAnswer: 8827\/15047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -5*y**3\/6 + 2*y**2 - 12*y. Let n(u) = u - 1. Let a(i) = -i**2 + 3*i + 1. Let x be a(3). Let l(g) = x*n(g) - r(g). Give l(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -2, -6\/7, -0.4, 0.01?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -579393899*c*u**2 + 144846754*c*u - c wrt u.\nAnswer: -1158787798*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/15*(6 - 1). Let b = 19 - a. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {w: 17, h: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 4, -3 in ascending order.\nAnswer: -20, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:10 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*(5 + ((sqrt(72) + 0)**2 + -1 - -6*(2*sqrt(72))**2) + -4).\nAnswer: -5400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 - -176. Let j = z - 89. Let s be ((-6)\/4)\/((-6)\/(-16)). Put s, 8, j in decreasing order.\nAnswer: 8, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxvxvvxvvv. Give prob of sequence vvx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -377 + 473. Let w(d) = -d**2 + d + 25. Calculate the remainder when k is divided by w(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 1566 = 1722 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 1, x: 3}. Give prob of sequence xt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4*t - 5*t)*(0 + 2*t + 0) + 5*t - 5*t + 2*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 483 and 8419173.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17897878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -110*u - 269. Let w be n(-15). Suppose 4*h = -g + w, -29*h - 4179 = -3*g - 32*h. List the prime factors of g.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 53539.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3.97. Let x = 1139 - 1139.03012. Let u = q + x. What is u rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**6\/72 - i**4\/24 + i**3\/3 - i. Let l(h) be the second derivative of d(h). Differentiate l(x) with respect to x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 96 = 0. Let k(r) = -r**2 - 284*r - 19422. Calculate the least common multiple of k(-168) and x.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -528.2 + 526.2. Which is the fourth smallest value? (a) r (b) -909 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26393227961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -r - 4*v, -819*v = -824*v + 10 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 + 91*j**2 + 571*j + 16185. Calculate n(-30).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*o + 3*f + 24, 6 = o - f. Suppose 4*n = 2*q + o*q + 2, 6 = -3*n. Is q less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -26*z**3 - 1114*z**2 - 6496*z - 8501. Let q(o) = -2*o**3 - 86*o**2 - 500*o - 654. Let c(m) = 4*j(m) - 54*q(m). Let c(i) = 0. What is i?\nAnswer: -41, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15030 + 26009. What are the prime factors of t?\nAnswer: 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1356 + 2709\/2. What is the second smallest value in 6, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 13*m - 1\/12*m**4 + 0 - 1\/10*m**5 + 0*m**3 + 2*m**2. What is the smallest common multiple of x(-2) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*d + 2*d = -73, 0 = 4*o + 5*d - 50. Solve 4*c = c - o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 767 + -176. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -40*j - 1. Suppose 391 = a + 371. Calculate the remainder when r(-2) is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 63.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 11:10 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 v when four letters picked without replacement from vaavgaa?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -1172*r + 5319 + 30982 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/45, -5, 3\/11, -3.\nAnswer: -5, -3, 2\/45, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2687?\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6779, -6614, -6449, -6284, -6119?\nAnswer: -5954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(2*3\/(-12)). Let n(h) = h**3 + h**2. Let q(u) = -100*u**2 + 2*u**3 + 3*u**3 - u**3 - 2*u**3 + 98*u**2. What is i*n(f) + q(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6984*i**3 + 1162*i**3 - 4549*i**3.\nAnswer: -10371*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5 + 78*t**4 - 704*t**3 + 1600*t**2 + 2304*t - 8704.\nAnswer: -(t - 68)*(t - 4)**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h*p**4 + 2*h*p**2 - 57*h*p + 11129*h - 3*p**5 - 4044453*p**4 + 2*p**2 - p + 3 wrt p.\nAnswer: 48*h*p - 180*p**2 - 97066872*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2588092016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**2 + 114*y + 73. What is p(29)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-45))\/(1\/25). Let w(l) = -l. Let y be w(-5). Let k = u - y. Solve -10 = 5*j - k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -5*b**2\/2 - b - 25. Let k be n(-2). List the prime factors of 20\/(-15)*-3 + k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-250)\/750)\/((-8)\/3)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 0 - (sqrt(60)\/sqrt(2))\/sqrt(10))*-1)**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1049106209 and 2462?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*((-16)\/78)\/4. Suppose 138*m + 105 = 42 - 489. What is the smallest value in 1\/2, 4, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/5)*a*a**(-1\/7)\/a*a*a)\/((((a**(3\/2)\/a)\/a)\/a)\/((a**1\/a)\/a)))**(-38))**(-15\/8) assuming a is positive.\nAnswer: a**(14193\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1011 divide 59708110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from olvlwowovoonwlno. Give prob of sequence wwwv.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/32 and 23\/53148?\nAnswer: 425184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5266788 and 2622.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110211000102002000 + -1?\nAnswer: -1110211000102002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 254 + -1266\/5. Let g = -0.03 - -0.43. Let l = -5 - -4.9. Which is the closest to o? (a) l (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 308 + -309. Sort -5, -15, -2, q in descending order.\nAnswer: q, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 24, 5.\nAnswer: -1, 4, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 883909 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2)*(3*k**5 - k**5 - 4*k**5) + (-k - 1 + 2 + 0)*(-1580*k**2 + 1580*k**2 + 7*k**4).\nAnswer: -11*k**5 + 7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2\/4 - 475\/930). Let h = -60 + g. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, 1 a, and 1 d when four letters picked without replacement from {f: 8, j: 4, d: 2, a: 2}.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3 + (-25)\/(-10)). Solve -2*h - h + 10 = -5*u, -2*u = -y*h + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:38 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)*-2*-5)\/((sqrt(72) + 1*sqrt(72))\/sqrt(12)) + (-4*(1 + (sqrt(448) - (-3 + sqrt(448) + (sqrt(448) - (sqrt(448) + 0)))) + sqrt(448)))**2.\nAnswer: 1029*sqrt(7) + 7424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d - 5 = 0. Let g be 1\/((-2)\/136)*8\/(-16). Suppose 4*n + 2*b = 7*b + 1, -4*n = 2*b + g. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -153*n + 16 - 3 + 143*n - 2*n**2 + 3*n**2 - 2*n**2. What is d(-14)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*a**2 - 35 - 48*a**2 - a + 81*a**3 - 70*a**3 to the form v*a**2 + i + f*a + u*a**3 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6293 divided by 899?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.89128 rounded to two decimal places?\nAnswer: -1.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-4)\/(h\/h**(-12)))\/(h**15*h*h**(1\/2)))**(-2\/95))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26182368, -26182367, -26182366, -26182365, -26182364, -26182363?\nAnswer: -26182362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -3847?\nAnswer: -3851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -3\/7, 129.5.\nAnswer: -6, -3\/7, 1, 129.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11*t - 53. Let b be z(9). Let w = 1208 - b. Find the second derivative of 1360 - w + 10*n**3 + 38*n wrt n.\nAnswer: 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 22. Suppose -2*b = 2*j - 21 - d, -3*j + 40 = -4*b. Is (-102)\/(-5) + (-8)\/j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2460*q - 53*q**3 - 6908*q - q**4 + 1903*q**5 - 946*q**5 - 932*q**5 wrt q.\nAnswer: 500*q**3 - 12*q**2 - 318*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - -37. Let x = 200 - z. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9986431 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42.67? (a) 3 (b) 5 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00549705985 to six decimal places.\nAnswer: 0.005497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*v + 73 - 73)*(1 + 0 + 1)*(1 + 2*v + v - 4*v).\nAnswer: -52*v**2 + 52*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3365.3 and 11.\nAnswer: -3354.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/3)\/((-140)\/360)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 330021311?\nAnswer: 330021320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42827390 <= 42827396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence plpl when four letters picked without replacement from plpnlllpllllp.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800)*1 - sqrt(800))\/sqrt(4) - (1*(sqrt(162) - -1*sqrt(162)) - sqrt(162))**2) + 0.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 125*u**2 - 7628*u + 180. Give p(61).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-10))\/((-2)\/10). Let f be (-2)\/(-4) - (-4)\/m. Let w = -3 - -2.8. Sort f, w, -3\/4 in ascending order.\nAnswer: -3\/4, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47276 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:38 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 30*k**2 - 2*k - 9. Let d(q) = -10*q**2 + q + 3. Let c(i) = -7*d(i) - 2*s(i). What is the units digit of c(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 40*f. Let c(t) = 10*t + 4*t - 11*t - 5*t. Give v(c(a)).\nAnswer: -80*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 11 = -2*y, 5*y + 5 = -x. Suppose -s + 2*q = 2*s, x*s + 4*q = 22. Solve 1 + s = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -907*k**2 + 479.\nAnswer: -1814*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 16*z + 138 = 0. Suppose -43*x - 30 = -z*x. Calculate the remainder when 89 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44557 is divided by 111?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 431 + -433. Suppose 0 = -31*u + 675 - 1822. Put f, -5, u in decreasing order.\nAnswer: f, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215 (base 12) to base 8.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80 + -22. Let n = v - -41. What is the greatest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - -1 - (1 + 0). Suppose x + 55*y = 53*y + 25, 5*y = x + 31. What is the greatest common divisor of x and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8) - (-1545)\/20*283\/849.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**2*i**2*r - 2*b**2*i*r - 69*b**2 - 346*b*i**2*r + 2*r + 2 wrt i.\nAnswer: 8*b**2*r - 692*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - t. Let z(k) = -3*k**2 - 4*k - 179. What is -5*i(c) + z(c)?\nAnswer: 2*c**2 + c - 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 995 - 582. Is s a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185 <= 192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55883 + -31883. What is s rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9 - 2 - 9*l + 11*l + 14*l. Let v(b) = -4 + 4 + 3*b - 2. What is -4*s(n) + 22*v(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 11) to base 3\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 939 + -935. Let t(p) = -22*p**2 + 3*p. Let i(r) = r - 7. Let n(g) = f*i(g) - 2*t(g). What is the second derivative of n(z) wrt z?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = 59 - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyc when three letters picked without replacement from ieypscpsysps?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/10 + 3*p**4\/8 - 3*p**3\/2 + 4*p**2. Let q(i) = -i**2 - i + 1. Determine -b(z) - 9*q(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 3, 4, -67, -4 in decreasing order.\nAnswer: 4, 3, 1, -3, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -10. Let p(r) = 7*r**3 + r**2. Let n be p(3). Calculate the highest common divisor of c and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/((sqrt(21)*1)\/sqrt(7)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41\/2? (a) 2 (b) 0.29 (c) 18891\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -0.4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 961379 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 7*o + 33. Determine i, given that 5*i**2 - 7*i**2 - 16*i - 6*i**2 - o + 4*i**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4487474 divided by 2243737\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 6272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3901 divided by -149.\nAnswer: 3901\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -43741*b**2 + 18*b. Let c(r) = -r**2. Determine l(c(v)).\nAnswer: -43741*v**4 - 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (19\/1)\/(5\/25) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*h**4 + 71*h**2 + 58*h**2 - 130*h**2 + (-2*h**2 - 4 + 4)*(-h**2 - 3 + 3).\nAnswer: -54*h**4 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45.2 + -50.2. Let m = 6088\/67 - 414439\/5159. Let x = m - 75\/7. Which is the biggest value? (a) -1 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -5*y + 94, 84 = 4*y + 553*c + 555*c - 1107*c for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 2:52 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 124 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jyylyjylyyyllj.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1814, 1178, 514, -172, -874, -1586, -2302?\n\"Answer: j**3 - 20*j**2 - 583*j + 2416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*i - 163 + 38, 0 = -3*u + 2*i + 50. Let l = -0.95 - -0.85. Which is the closest to l? (a) u (b) -3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 87, 172, 271, 390, 535, 712, 927, 1186?\n\"Answer: g**3 + g**2 + 75*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*a**3*b + 3*a**3*k + 39314*a**2*b**2*k + 132*a**2 - 28*a - 7*k + 2 wrt b.\nAnswer: 7*a**3 + 78628*a**2*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 4 - (54 + -63)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/21)*v*v**(1\/3))**(-6\/5) assuming v is positive.\nAnswer: v**(-54\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 5*b - 676. Suppose -b*j = -104*j + 328. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4259 a multiple of 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -6. Let f(r) be the second derivative of -1\/6*r**3 + 1\/6*r**2 - 1\/30*r**x + 2*r + 1\/30*r**5 + 0 + 1\/18*r**4 + 1\/126*r**7. Factor f(y).\nAnswer: (y - 1)**4*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -64, -109, -154, -199, -244?\n\"Answer: -45*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 20. Let n = -19.7 + u. Sort 8, -1, n.\nAnswer: -1, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 12. What is the second derivative of -2*q - q**4 + t*q - q**4 wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 39. Suppose 0*m - b = -m. Calculate the greatest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 20 in descending order.\nAnswer: 20, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 - 543848?\nAnswer: -543847.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8446591 divided by 1\nAnswer: 8446591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149617*v**3 + 82778 wrt v.\nAnswer: -448851*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(637) + 2).\nAnswer: 6 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 91?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4*c = 6, -5*c + 2 = 27*r - 24*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-106 - -78) - (8 + 4 + -8 + 3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23681\/398)\/((-49)\/42).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {n: 5, r: 8}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - u**2 - 2*u**4 + 5*u**2 - 2*u**3 + u**3 in the form w*u**4 + n*u + v*u**2 + c + g*u**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13*((-91)\/(-13) + 5616) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8394797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58377175 by 25.\nAnswer: 2335087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 148608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -291, 18 in ascending order.\nAnswer: -291, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -121043040 (base 5) in base 4?\nAnswer: -2022002103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 1\/10*r**6 + 2\/105*r**7 + 0*r**4 + 2\/15*r**5 + 0*r + 70*r**2 + 0*r**3 + 0. Suppose y(a) = 0. Calculate a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 481 (b) -5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 3*v + 1. Let t(m) = -2976*m**2 - 5*m + 2. Give 2*o(f) - t(f).\nAnswer: 2972*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 - (-6 + 1) - 15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 9*l + 3. Let b be d(9). Suppose -f - 28 = -b*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3722 - 3*m - 88*m**3 + 3719 + m to g*m + k + c*m**2 + n*m**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1817 - -1)*(-42)\/(-24). Round t to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 147 + 154 = 0. Let s = b + 2062\/7. Calculate the common denominator of -46\/11 and s.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4982484.6ns to hours.\nAnswer: 0.0000013840235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.25, 5, -0.06118, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1601.3 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, 4, -122.\nAnswer: -163, -122, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 48*m**3 - 81*m**2 - 129*m. Let v(l) = -3*l**3 + 5*l**2 + 8*l. Let d(g) = 2*b(g) + 33*v(g). Solve d(p) = 0 for p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34438.\nAnswer: 2, 67, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - (1 + -9)) + 2. Let d be (-3)\/(-4)*s\/(-18). Is -14\/5 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 168*w**3 + 12*w**2 - 6*w - 29. Let z(c) = 168*c**3 + 10*c**2 - 5*c - 27. Calculate 5*q(i) - 6*z(i).\nAnswer: -168*i**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33310 + 42463. What are the prime factors of x?\nAnswer: 75773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311332213 (base 4) to base 8\nAnswer: 657647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*n, -n - 122 = -g - 27. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 8718.\nAnswer: -26154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 235\/(-1350) + 8\/108?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 15*o**3 + 4*o**2 + 6. Let u(t) = t**3 - t**2 - 1. What is -r(y) - 6*u(y)?\nAnswer: -21*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/16884980 and 93\/140.\nAnswer: 16884980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 6*o. Let r(b) = b. Let x(h) = m(h) - 6*r(h). Let p(v) = 3*v**2. Give x(p(l)).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 2*b**2 - 2*b - 2. Let p be v(-2). Let l = 24 - p. Suppose 4*o = 2*t + 3*t - 78, 0 = -4*t - 5*o + l. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 - 0.6. Let f = -290 - -3768\/13. Sort z, f, 0.1 in decreasing order.\nAnswer: z, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*l - 3, -8 = l - 5*z - 20. Sort -235, 2, l in descending order.\nAnswer: 2, l, -235","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by -88?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 121*y**5\/20 + 57*y**2 - 68*y. Find the first derivative of a(k) wrt k.\nAnswer: 363*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxww when four letters picked without replacement from wxwfnwwf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (15 - 7) - (2634 - 2532)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*g)*(-2 + 5 - 2 + (-1 - 3 + 3)*(3 + 2 + 0))*(-2 + 2 - 2*g).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 1. Let b be p(2). Suppose 2*t + b = 9. Let h = t + -6. Put 1, h, -1 in decreasing order.\nAnswer: 1, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 15\/17, -3, 1\/3, -13, 1 in increasing order.\nAnswer: -13, -3, -0.1, 1\/3, 15\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*k - 78*k = 243*k + 5948 + 1374 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282 divided by -3.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -1529, 5, -3, -11 in increasing order.\nAnswer: -1529, -11, -3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 2*l + 2. Let y be h(3). Let r = y + 5. Let c be 14 + (19 - (34 - 10)). Solve 12 = r*a - 2*m, -4*a = a - m - c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(18) - 4*sqrt(72))**2 + (-1 + sqrt(18) - sqrt(18)) + -1).\nAnswer: -3520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) - ((sqrt(528) - (sqrt(528) - 3*sqrt(528))) + sqrt(528))*-4)\/sqrt(11))**2.\nAnswer: 13872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + (1 - 2))\/(-1) + 8. Suppose -2*f = -4*f - f. Sort n, f, 4 in increasing order.\nAnswer: f, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -2*d - 2*t, 4*d = 4*t + 32. Let o(q) = 4*q + 4. Let l(f) = 17*f + 17. Suppose 0 = 2*u + 2*j + 46, 0 = -u + 3*u + j + 49. Give d*l(r) + u*o(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15168*a - 15551*a + 5306 + 47445*a - 15823*a wrt a?\nAnswer: 903","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*g - 0*a - 52, 2*a = 5*g + 130. Let b = g - -28. Suppose -3*d + 6743 = d + 3*r, -5053 = -3*d + b*r. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = 3*d + 2*d, 3*d - 18 = -4*g. Solve -g*j + 5 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -335*u + 289*u - 598 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**2. Let v(u) = -577*u**2. What is v(j(f))?\nAnswer: -20772*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2546 - 930. What is the hundreds digit of (1 - o\/(-10))\/(6\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + 57. Calculate the greatest common factor of f and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 + 0)*(2 + 0 + 3) + (3 - 3 + 2)*(-3 - 1 + 2) + 4 - 3 + 1)*(-z**5 - z**5 + z**5).\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.9861 kilograms to grams.\nAnswer: 44986.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 996159241 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24034, 48073, 72112, 96151, 120190?\nAnswer: 144229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81416253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/37, -18, -4, -0.5 in ascending order.\nAnswer: -18, -6, -4, -0.5, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*r*s**2 - 2*b + 2*r**3*s - 70*r*s**3 + 14*s**3 - 2 wrt r.\nAnswer: 2*b*s**2 + 6*r**2*s - 70*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:38 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -53 + 35 + 77*s + 24. Does 33 divide t(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246*i**5*s**2 - 3*i**5*s + i**2*s**2 + 1193*i**2*s wrt i.\nAnswer: -14760*i**2*s**2 - 180*i**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 91. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 31790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/1915 and -51\/23146?\nAnswer: 44324590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.112, 0.1, 7\/3, -1\/5, -1\/4 in descending order.\nAnswer: 7\/3, 2, 0.112, 0.1, -1\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 - 5*a + 3. Let o be b(3). Suppose 4*h - h = o. What is the remainder when 43 is divided by 8\/h - (-174)\/8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/13 - 272*u**3\/13 - 91118*u**2\/13 + 1030268*u\/13 - 938880\/13 = 0 for u.\nAnswer: -163, 1, 10, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 16 = v, -1 + 50 = 4*v + 5*s. Let j = -4 + v. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209070 and 3910.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5632 by 172.\nAnswer: -1408\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14\/13*t**2 + 0 - 6\/13*t - 10\/13*t**3 - 2\/13*t**4 = 0 for t.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.4 - 53. What is n rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 130 - 32576*v - 32596*v + 65100*v in the form i*v + d and give d.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) + 202\/8. Suppose 4*y + g = 9. Let x(l) = 2*l**2 - 2*l - 3. Is 8 a factor of x(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1879 = 122*j - 195. Solve -m + j = 4*a, m - 13 = 104*a - 107*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 + (39 + -19 - -1 - (-9 - -5)).\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 12.5. Sort r, -6\/11, 1 in descending order.\nAnswer: 1, r, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0421726947 + -1.07013.\nAnswer: -1.0279573053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, 51, 276, 737, 1518?\n\"Answer: 14*u**3 - 8*u**2 - u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 7. Let l be m(-8). Let x = 6 - l. What is the first derivative of -4*c + 3*c - 7*c + 5*c - x wrt c?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -1\/105*c**7 - 8*c**2 + 1\/12*c**4 - 1\/60*c**6 + 0 + 0*c**3 + 0*c + 1\/30*c**5. Factor d(i).\nAnswer: -2*i*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 3*o. Let n(i) = i**2 - i. Determine h(f) - 4*n(f).\nAnswer: -3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) 1747 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Suppose -j*q + q = -4. Let i(l) = -6 - 2992*l - 2941*l + 8889*l - 2947*l. Give i(q).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11532159 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 5*k**2 + k - 2. Let y = 2 - -3. Let l be w(y). Suppose -l*f + 4*u = f + 1900, 3*f - 4*u = -1430. Round f to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17904 by 2.\nAnswer: 8952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.3 equal to 320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3916764 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7467, 29911, 67317, 119685, 187015, 269307, 366561?\nAnswer: 478777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2) + -246 + 51\/(-17). Let q = k + 284. Calculate the remainder when 67 is divided by q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 143440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/680 and 14\/(1512\/330) - -4.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406\/(-370) + 18\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (32 + -9)) + (73 - 0)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239 - 233. Let r(c) = -2*c**2 - 24*c - 13. Let i(p) = p**2 + 11*p + 6. Let m(k) = f*r(k) + 13*i(k). Let b(s) = -s**2 + 1. Let q be b(2). What is m(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 12*u - 1192 = 2*w, 4*w = -3*u + 1216. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*i - 9*i - 9*i - 2*i**3)*(-3 + 3 + 1)*(0 - 3 + 4) as a*i + q + b*i**2 + l*i**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 11) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 88a3 + -14?\nAnswer: 888c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0265483766 rounded to four dps?\nAnswer: 0.0265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 321718861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**4\/12 - n**3\/2 - 3*n**2\/2 - 250*n. Give f(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4441624 - -15?\nAnswer: 4441641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 425 - 325. Let t be 3\/(18\/g) - 3\/(-9). Solve -t*z + 22*z + 5 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l + 3 = 0. Let d = -172 - -189. Calculate the remainder when d is divided by 2 - (l + 3 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/98 equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4204 = -0*y + 2*y - 4212 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 93\/18 + -3 + -2. Let p = 0.1 - 0.2. Which is the biggest value? (a) v (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167668020 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 27477 and -5.83.\nAnswer: 27471.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 4292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 632969.\nAnswer: -4\/632969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 20549908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220 and 280.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -5. Suppose -41 = -4*n + 15. Let k = 14 - n. Solve i + k*i = z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003008 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(15\/8))\/(k*k**(-13)) assuming k is positive.\nAnswer: k**(97\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*u**2 - 16*u**2 + 16*u**2 + (-4*u**2 + 0*u**2 + 3*u**2)*(-1 - 1 + 3) + 13*u**2 - 4*u**2 + u**2)*(4 - 4 - u).\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 25*i**2 + 224*i + 1. Let j(q) = q**3 + 5*q**2 + 4*q. What is the least common multiple of j(-3) and m(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 2378*y + 139. Give k(0).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 507b - -4?\nAnswer: 5081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -946448*k + 946549*k + 1414 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9405 + 9519. Solve -z + 89 = 2*r + 5*o, -4*o = r + 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 + 6*o. Let k be f(-5). Let v = k - 25. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411320916?\nAnswer: 2, 3, 17, 53, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -543 - -273. Let j = y - -385. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 70 + 632 = m, 3*m = 4*t - 1404. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 209419 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -37\/5, 4, 3\/8, 1, -2\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0102020456 rounded to three dps?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -1 - (-16 + 13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -1.1. Let m = r + 2.5. Let u = -0.5 - m. What is the nearest to u in 0, 4, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*d = -d - 10, -4*j + 3*d + 2 = 0. Let l(f) = -f**2 - 7*f - 3. Let b be l(-6). Let c = -1 + b. Solve c*o = o + j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011101000010 - 101001?\nAnswer: -101011101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497116.8 grams to micrograms.\nAnswer: 497116800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 3:30 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7331\/74 or 100?\nAnswer: 7331\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - m)*(0*m**2 - m**2 + 0*m**2) + 196 + 64*m**2 + 98 - 62*m**2 - 3*m**3 + (-2*m**2 + 5*m**2 - m**2)*(m - m - 2*m).\nAnswer: -6*m**3 + 2*m**2 + 294","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + -626.8455835.\nAnswer: -627.5455835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -12*x**2 + 362*x - 2492. Determine w(20).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 2585771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*w, -5*w + w = 0. Let m be 5 - z - (-4 + -215). Let g = -126 + m. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*c + 12, 4*f - 5*f = 2*c + 6. Let w(d) = -2*d**3 + 0 + d**2 + 3 - 3*d**f + 4*d - 1. What is the tens digit of w(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -901.\nAnswer: -33\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2 + 12. Calculate the remainder when 28\/(-98) + (-170)\/s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 35 = s - 15, 20 = -3*v + s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1871 + -1262. Suppose 0 = -3*f + y + 1320, 3*f - 720 = 4*y + r. What are the prime factors of f?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 186*q - 5226. Calculate the lowest common multiple of 207 and p(29).\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-7)\/(-14))\/(2\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -960, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-10)*2 + (-806)\/155.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k*n*v + 349*k*v - n*v - 13*n + 2 wrt k.\nAnswer: n*v + 349*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008672 rounded to five dps?\nAnswer: 0.00867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35160253?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (6 - 3) + -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 9*y - 23. Let d be m(6). Calculate the highest common divisor of 31 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 8.093373\nAnswer: -1.6186746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 36 = 2*p - 0*o, 0 = 3*p + o - 49 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -3c74c9?\nAnswer: 3c74cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 + -48. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -2, -4, 3 in increasing order.\nAnswer: -27, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 548.58 rounded to 0 dps?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574800 = 10*r + 2*r. What is r rounded to the nearest one thousand?\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0*d - 5*a - 69, -5*a + 11 = d. Let z(w) = -3*w**3 + 2*w**2 - 3*w + 6. Let g be z(2). Let t = g + d. Solve 6 = -2*u, t = 5*n - u - 6 - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 + f**2 - 5*f**2)*(5*f - 16*f + 47*f)*(0 + 0*f + 4*f + 2) to the form w*f**4 + r*f + h*f**2 + j*f**3 + s and give j.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4018.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26405895.12 - 0.0642.\nAnswer: 26405895.0558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 30*r**2 - 35*r - 47. Let z be l(-31). Solve -4 = 75*n - z*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -65. Suppose g + 6 = 11, 0 = 2*r + 2*g - d. Suppose u + 4*x - 4169 = -0*u, r*x = 3*u - 12451. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -8. Let y = -3 - s. What is the closest to y in 1\/4, -2, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*u = -706, -r = 5*u + 8 - 198. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745458 (base 10) in base 5?\nAnswer: 142323313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let w(j) = 4*j. Let d(t) = 5*n(t) - w(t). Let x(s) = -s**2 - s. Let b be 3\/9*20\/(-15)*-9. Calculate b*x(v) + 5*d(v).\nAnswer: -4*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 13*y**2 + 2*y - 14. Let m be j(13). Let o be 31*(-3)\/9 + m\/(-18). Is -9 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:14 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 3:54 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21440*j**3*r**2 + 4*j**2*r - 9*j**2 + 91*j*r**2 wrt j.\nAnswer: -128640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 32.3. What is the fourth biggest value in f, 1, -0.5, 38.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2987525370 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2139 + -2239 - (7 + (-1 + -1 - 0))\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r + 27 = 3*l, -2*l = -4*r - 28. Let n be l\/(-6) - (-11)\/3. What is the second derivative of -3*y**2 - 10 + 10 - n*y wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41220030 + -2?\nAnswer: 41220023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 621 + -620.999709. Round r to 5 decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 503 - 23. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10011, -20575, -31139, -41703, -52267?\n\"Answer: -10564*z + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5140000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 8. Let a be s(-9). Let d(v) = 1. Let x(o) = -o - 1. Let t(l) = -d(l) - 5*x(l). List the prime factors of t(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, i: 2, d: 1}. Give prob of sequence iied.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -24, -1\/3, -0.4, 0.5, -66006?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12453 - 12425. Calculate the remainder when 19235 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62223, 62215, 62197, 62163, 62107, 62023?\nAnswer: 61905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -211828*h**4 + 36252.\nAnswer: -847312*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {p: 1, c: 1, u: 1, o: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 3.2?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.41 (b) 3 (c) 1 (d) 0.221 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -423202 (base 5) in base 7?\nAnswer: -56222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1. Let m(k) = -113*k + 3. Determine m(t) - 3*o(t).\nAnswer: -113*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:38 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -171*y**3 + 5. Let k(g) = 43*g**3 - 1. Calculate -9*k(m) - 2*z(m).\nAnswer: -45*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11311320234 + 2?\nAnswer: 11311320241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -7\/5 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -38029 (b) -3.9 (c) -2 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75875798?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4, 12 = -0*x + x + 3*p. What is the greatest common factor of x and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 2. Suppose 7*h + 3*l + 27 = 3*h, -5*h + 3*l = 0. Calculate the remainder when 1313\/91 + (-8)\/(-14) is divided by o(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 7:04 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -9*j - 268. Let v = 265 - j. Calculate the greatest common divisor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4\/8 - 5367*r**3\/4 - 8527683*r**2\/8 + 240146415*r - 12012690150 = 0 for r.\nAnswer: -1884, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 8) in base 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**4 - 2545256*p**2 - 8417822*p?\nAnswer: 24*p**2 - 5090512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219670 = 755*k - 700*k. What are the prime factors of k?\nAnswer: 2, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254, -509, -764?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001001 (base 2) to base 15.\nAnswer: d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 + 0 = 0. Let 15*v**4 + v**3 + 4*v**i - 4*v**5 - 3*v**4 - 13*v**3 = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*j**2 - 4*j**2 + 10*j**2.\nAnswer: -58*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -62. Solve 4*w + 4 = 2*f, -j*w - 9 = f - 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 9*a + 41. Let b be f(-10). Calculate the highest common factor of 62 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v + 20, -2*z = -5*v + 12. Solve -4*d = 3*y - 23, -z*d - 1 = -2*y + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*f - 5*f - 25 = -6*f + 5*f, -228*x - 168 = -4*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 23 = -2*n - a, -n + 11 = 3*a. Let p = 6 + n. Solve 5*o + 3 + p = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - 4080\/(-289) - 0.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + -101. What is the least common multiple of 126 and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 10*f - 14. Let t be q(8). Let s(n) = -4*n - n + t*n + 6*n. Let c(z) = -z**2 + z. Let m(d) = -3*c(d) + s(d). Let h(k) = 6*k. What is h(m(w))?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 75\/45 + 2\/(-1). Let u = -0.156 - -0.256. Let i = -9 - -11. Which is the closest to -1? (a) i (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3 - 12 = 3*d, -93*g + 5 = -44*g - d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2 - 8. Let p be (-130)\/(-78) + -4*3\/(-9). Is k bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18*(35\/10 + -3) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 26 + (-3 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 5*n - q, 5*n + 123 = -67*q + 65*q. Let r(y) = y**2 + 25*y + 49. Let w be r(n). Solve 6*l = -27 + w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 3\/4*t**5 - 39\/4*t**3 - 9*t**2 - 3*t - 9\/2*t**4 = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.03 - -12. Let l = a + 0.028. Round l to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(20\/110) + 3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 8*k - k + (-4 + 4 - 2 + (0 + 2 - 1)*(3 - 5 + 1))*(k - 6*k + k + (3 - 3 - 1)*(-2 - k + 2) - 21*k + 7*k + 55*k).\nAnswer: -106*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - v**2 - 11*v + 45. What is h(5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/6)\/((-350)\/100) - 2.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5052744 litres?\nAnswer: 505.2744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 - j**4 - 2 + (0*j**3 + 2*j**3 - 3*j**3)*(2*j + 0*j + j) in the form t*j**3 + m*j + w*j**2 + u*j**4 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - 2221210?\nAnswer: -2221150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -368661178, -368661181, -368661184, -368661187?\n\"Answer: -3*i - 368661175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 839, 824, 785, 710, 587, 404, 149, -190?\n\"Answer: -2*f**3 - f + 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l + 219. Let t be f(-31). Suppose 7*c - t*c = -d + 102, -3*d + 334 = c. Calculate the greatest common divisor of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 191118 and 1134?\nAnswer: 36121302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-33.378996\nAnswer: 6.6757992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 7:03 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - 0.09. Let w = u + 5.05. Which is the nearest to -1? (a) 2\/5 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 4*o**2 + 1. Let z = -126 + 128. Let h(p) = -15*p - 2*p**z + 25*p - 10*p. What is h(l(u))?\nAnswer: -128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -29\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151528757 is divided by 37882188.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -8797220\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33029*f**4 + 74*f**2 - 22*f.\nAnswer: 792696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 510*b - 17319. Give p(-32).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = -2*b + 2, 2*b = -4*o - 16. Let d = -70 + 69.8. What is the second biggest value in b, d, 1\/12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 4*q + 4. Let v(o) = -1. Let t(r) = g(r) - 2*v(r). What is t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/24 + v**3\/6 + v**2\/4 - 7*v. Factor c(w).\nAnswer: (w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((9 - 5) + -4)\/2. Sort -12, -0.1, v in decreasing order.\nAnswer: v, -0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*y = -2462 - 1142 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*p - 101726 - 30294. Does 115 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*a + 2703, -5*b + 3430 = 5*a - 9*a. List the prime factors of b.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123*x**5 + 13 - 1 - 7 + x + 369*x**5 - 9 wrt x.\nAnswer: 4920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -355136, -355220, -355300, -355376?\n\"Answer: 2*n**2 - 90*n - 355048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 253.58 and 2.753?\nAnswer: 698.10574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -6976, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*z = -107*z - 5*f + 143, 0 = -4*z + 2*f + 90 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 - 1286*u**3 - u**2 + 0*u + 0*u + 1331*u**3 + 1 as y + x*u + c*u**3 + q*u**2 + k*u**4 and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 338 - 612 = 8*n + 30*n + 616, 0 = -n - 5*k - 43 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-2)*4\/(-5). What is the first derivative of 7*q**u + 4 + 3 + 0 - 2 wrt q?\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 328228362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102 - 3138\/(-30))\/(2 - -1 - 4)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i, 158*f - 25 = 157*f + i. Put -1, 12, f in increasing order.\nAnswer: -1, 12, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2136 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: Simplify (sqrt(112)\/sqrt(7))\/sqrt(8) + sqrt(24)\/(-3*sqrt(12)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 117*l**2 - 1399*l - 2. Determine y(12).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**4 + 4*n**4 + n**4)*(n - 3 + 1 - 9).\nAnswer: n**5 - 11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d - 1119 = -1867 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6579*n + 6585*n = 672. Calculate the highest common factor of n and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**6\/15 + z**5\/60 - z**4\/24 - 5*z**3\/6 + 9*z. Let g(l) be the second derivative of p(l). Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.51 and 1.292?\nAnswer: 4.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d - 7*d = 88 + 337 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 257 = 2*p - 916, 0 = 2*b + 3*p - 1322. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -108 + (7 - -2) + (-68 - (-113 + 71))?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.921554 decades to years.\nAnswer: 49.21554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4*h - 20, h = 4*i - 6 - 9. Let b = -1 + 3. Let d = b + 5. Calculate the remainder when d is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - 3*(-2)\/(-3). Suppose 3*g - 6 = 3*v, -5*v - 6 = -2*g - 2*g. Suppose -2*d = v*d + l. Is -2 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/((-3)\/(-12)*3)*-60.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8001.7311 and -9.763.\nAnswer: -8011.4941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -39 - 33*i + 1 - 5*i - 30 + 41*i**2 + 2*i**3 - 9*i**2 = 0.\nAnswer: -17, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 5. Suppose -8 = -m + 2*f, -m - 5*f = 3*m - 6. Suppose -15 = -t + m*t. Which is the third biggest value? (a) -1 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 minus -112835898235?\nAnswer: 112835898235.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.635082 millilitres?\nAnswer: 0.003635082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 4*y - 6*y**2 + 5*y**2 as c + t*y + l*y**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/15 + -2)*-18. Let s be (3\/10)\/(m\/15). Let 3\/4*x**2 + 1\/4*x**3 + s*x + 1\/4 = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -12 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 97*m + 278*m**2 - 42*m + 1 - 61*m + 0*m**2. Is r(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-220*f + 3*f - 58*f)*(5 - 3 + 0) in the form o*f + j and give o.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 2)*-1 + (26 - -2). Let p = -13 + z. What is the tens digit of p\/(-32)*(-1 - 93)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*b = 82*b + 41655 + 38901. What is the greatest common factor of 204 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7586581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6 = 0, -h - 2*h + 348 = 3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**(-7\/5)*b))*(b*(b\/(b*b\/(b\/b**(-1\/15))))\/b*b)\/b)\/(b**21\/(b*b**5)) assuming b is positive.\nAnswer: b**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*6\/(-2)*1\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 1. Suppose 0 = 4*t - 7 - 1, -10 = l - 2*t. Let d(j) = -33*j**2 - 6*j - 46. Let q(u) = l*r(u) + d(u). Differentiate q(p) wrt p.\nAnswer: -66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 40. Let w be (u\/(-12))\/((-1)\/24). Let q = 14 + w. Solve q*l = l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 25582*r - 102863. Calculate u(4).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/6)*l)**(-3\/20))**(-3\/7) assuming l is positive.\nAnswer: l**(3\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from uqqqxxukux.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2282132 is divided by 170?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 g, 1 b, and 1 r when four letters picked without replacement from srseggsgbfrgsgr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 352 = -4*q, 2*q - 67 = -p + 283. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -33.9. Let r = -3 + g. Let o be (-2)\/5 - 28\/80. What is the third biggest value in -2\/11, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 - 32*t**2 + 35*t + 66 = 0. Calculate t.\nAnswer: -33, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 - 18 + 18 - 2*y**2 - y + y + (1 - 4 - 6)*(-y**2 - 4*y**2 + 0*y**2) to w*y + s*y**2 + b and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**(2\/3)))\/(v*(v*v**21\/v)\/v))**(-31) assuming v is positive.\nAnswer: v**(1922\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*d - 7 = 0, 0 = -4*m + 5*d + 3. Let n(r) = 3 - 2 + 10*r**2 + 1 + 3 + m*r. Is n(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b26 (base 13) to base 16\nAnswer: -ff8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 3*t**8\/112 + 2*t**7\/105 - t**5\/60 + t**4\/24 - 4*t**2 + t. Find the third derivative of r(z) wrt z.\nAnswer: 540*z**2 + 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.65, 150, 130?\nAnswer: 2.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51569892 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1312 - -80034\/61. Let g = -14 + 15. Are g and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*u**3 - 28954*u**2 - 1596*u + 1117 wrt u.\nAnswer: -264*u - 57908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81 + 1.8.\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (4 + -8 + (-4 - 1) - (-5 + -17))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 - 70 + 33 + 37.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-11)))\/v**8*v**(13\/2)*v**18)**44 assuming v is positive.\nAnswer: v**242","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4 = -2*r. Let u = 4 + r. Suppose -3*l - 12 = -u*b + 22, -3*b = -3*l - 51. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = j, -3*j + 5 = -2*i - 1. Let o = 29\/12 - 7\/4. Sort j, o, 5 in ascending order.\nAnswer: o, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 65 = -11*f. Let j = f - -3. Suppose 2*z = -2*z + j. Which is the third smallest value? (a) z (b) 2\/13 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*y**2 + 48*y**2 - 5*y - 22*y**2 as g*y**2 + w*y + n and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-10) + (-3642)\/(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92758.64ml in litres?\nAnswer: 92.75864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00081185 to five decimal places.\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -6*b**7\/35 + 11*b**3\/3 - 74*b**2. Differentiate t(i) wrt i.\nAnswer: -144*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15636112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 0*c**2 + 3 - 4\/15*c**3 + 0*c + 7\/10*c**4. Determine n so that a(n) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2 - 28 = 0. Let f be 2\/n*6\/4. Let j = -0.5 - -1. Which is smaller: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.22 + 3.12. Put 33, t, 1 in decreasing order.\nAnswer: 33, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2655*s - 1544*s - 1658*s = -35008 for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, x: 1, b: 1, i: 1}. Give prob of sequence bl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-24))\/((-720)\/810 + (-5)\/(-9))\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from mawzmammmmaw?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50817210701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -20991\nAnswer: -20990.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 (base 11) in base 8?\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 2 + 4 + -8. Let j be (58\/s - 1) + 2. Let d be 6\/(-70)*j\/(-8). Which is smaller: 0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 21.13. Let y = i + -1.17. Let h = y - -0.9. What is the third biggest value in h, 2, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 10:32 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + 5*2*sqrt(1872) - (-3 + sqrt(1872)*1 + -1 + (sqrt(1872) - -2*sqrt(1872))))**2*-1.\nAnswer: -67445 - 1008*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {i: 2, l: 1, h: 1, k: 3, p: 8, a: 3}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12221102001012 (base 3) to base 14.\nAnswer: -5c28b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/5 + 7*j**3\/5 - 39*j**2\/5 - 36*j\/5 + 108\/5 = 0. Calculate j.\nAnswer: -6, -2, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2620?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-418))\/(812\/(-15428))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((x\/(x\/(x*x**(-1\/5))))\/x)\/x)\/(x*x\/(x*x**(1\/5)*x)))**(-50))**24)**2 assuming x is positive.\nAnswer: x**2400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 2*x**2 - 3*x + 4. Suppose -2*p = v - 4, 12 = 5*v - 2*p - 8. Let r = v + -2. Let w be 33\/12 + r\/8. What is c(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4031395 is divided by 6026.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*i + i - 3*i)*(2 - 5 + 1) - i + 0*i + 2*i)*(-81*i**3 - 219 + 219) to the form c*i**4 + b*i**3 + g*i**2 + n + k*i and give c.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53596217 and 2677.\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.832 + -18.5. Let w = -0.132 + t. Put -2, -2\/11, w, 0.4 in decreasing order.\nAnswer: 0.4, w, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/225, 4\/7, -304 in decreasing order.\nAnswer: 4\/7, -22\/225, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68.14 - 70.14. Let d = -8 - -13. What is the third biggest value in m, 12, -2\/25, d?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -15*q**3 + q**2 + q. Let z be u(-1). Let t be (0 + -5)*(-9)\/z. Suppose -t*w = 2*p + 1, w - 4*p = -w + 26. Solve -2*m - w*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345346084 a multiple of 2714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-121156)\/(-11760)*10 + -103.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255.4617 centuries in millennia?\nAnswer: 25.54617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7170 divided by 2390?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 442.8 and 0.13584.\nAnswer: 442.93584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -7*h + 2*h - 4, -3*h - 5*u = 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*z + 15 = 8*n, 0 = -3*n + z + 17. Suppose -46*v - 81*v = -635. What is the greatest common divisor of n and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1162, 2.7, 78 in increasing order.\nAnswer: -1162, 2.7, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3551*l*q**4 - 2272*l*q**3 - 26*l*q + 992*l - 4*q - 13 wrt q.\nAnswer: 42612*l*q**2 - 13632*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*r - 39 + 179. Solve 0 = -2*t + 6*t + 8, 0 = 4*y + r*t - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -212 and -1064\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 12*y**2 + 11*y + 3. Suppose 53 = -5*s + 2*w, 5*s + 51 = -0*s + 4*w. Let t be x(s). Solve 5*n - t*b - 9 = -b, 2*n + 4*b = 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*f - 12 + 12 - 234*f + 752*f - 264*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**4 + 561*l**3 + 3418*l**2 - 9072*l = 0.\nAnswer: -8, 0, 2, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*k - 19 - 31, 20 = 4*a. Let m be 5\/(10\/k) - -2. List the prime factors of 2\/(m*(-1)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*x + 3, 17*f + 4*x = 20*f + 4. Solve f*o + 2*o - 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 965.5596 centuries?\nAnswer: 9655.596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i - 168 = 0. Let s = -69 + i. Let l = s - -29. Solve -x = -2*n - 11, 0*x - l*n - 14 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -410, -841, -1346, -1931, -2602, -3365, -4226, -5191?\nAnswer: -6266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63592942.\nAnswer: 2, 7, 389, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 11*q**2 - 19*q + 11. Let u be k(9). Sort u, 1, -3.\nAnswer: -3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5333 + 5331. Sort -3, 2, -4, 8, h in increasing order.\nAnswer: -4, -3, h, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -86*q - 14. Let o be x(0). Let c(s) = s**3 + 15*s**2 + 14*s + 2. Let g be c(o). Sort -1, 90, g in decreasing order.\nAnswer: 90, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30371 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: What is 714 minutes before 11:59 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -6*h - 2. Which is smaller: h or -6\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197685 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**3\/12 - s**2\/8 - 972. Determine d, given that j(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 - 3*i**2 + 7*i + 6. Let p be v(-4). What is the first derivative of 4*q**3 - 35 + p + 7*q**2 + 45 wrt q?\nAnswer: 12*q**2 + 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8545 (base 16) to base 10\nAnswer: -34117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 109.004092?\nAnswer: -113.004092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 660 or -2\/969?\nAnswer: -2\/969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6) + ((-95844)\/1260)\/(-16 - (-459)\/30).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((321\/18)\/((-5)\/230))\/((-14)\/126) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99937795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 8. Let y be j(-6). Suppose -y*f = -0*f - 6. Suppose 5*v = 5*g + f*v - 21, -3*v + 6 = 0. Let k(x) = x**2 - 2*x - 7. What is k(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x. Let t(h) = -1. Let r(m) = 6*m + 2. Let i be 35\/28 + 9\/12. Suppose 3 = -2*v + o + 2, 5*v + 4 = 3*o. Let c(y) = i*t(y) + v*r(y). What is c(n(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -49845.22524\nAnswer: -49833.22524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134cef (base 16) to base 15.\nAnswer: -19eba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -12 - -15 - (-23)\/(-7). Which is smaller: v or -540?\nAnswer: -540","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263021 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 6. Let l be r(5). Suppose -4*z = -5*n + 8 - 31, l*n + 12 = 0. Solve -15 = -3*g - 4*b, g + 3 - 8 = -z*b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -118116, -118118, -118120, -118122, -118124, -118126?\n\"Answer: -2*l - 118114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12705 * 217\nAnswer: -2756985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*g - 9 = 0, -5*t - 4*g - 15 - 1 = 0. Let n be (t\/(-8))\/(1\/(-58)). Let y = 28 + n. Which is the nearest to 11\/7? (a) 2 (b) y (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40320 + 3302?\nAnswer: -32013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 10:57 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*i**3 + 54 - 54 + (-3 + 3 - 2*i)*(674 + 107*i**2 - 674).\nAnswer: -168*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (-10 - -16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i**2*l - 3*i*j*l + 289795*i*j - 5*j*l - 27*j - 196*l - 31 wrt i?\nAnswer: 8*i*l - 3*j*l + 289795*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*(-98)\/(-1225)*(3*(-1)\/(-3))\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 24 = 2*k. Let m be (13 + -5 + 1)\/1. Calculate the highest common divisor of k and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((340\/(-1275))\/(2\/(-3)))\/((-5)\/25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*d + 77, 3*l - l = -5*d + 49. Let q = -88 + 103. Calculate the remainder when l is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2*q*t - 35*b**2*q - 58*b**2*t**2 - 7*b*q*t + 13*q wrt t.\nAnswer: b**2*q - 116*b**2*t - 7*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*l**2 - 2 + 2*l**3 - 79*l**2 + 3 + 0 + 47*l**2 to o*l + x + f*l**2 + v*l**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**3 + 6*x**2 - 3*x - 25. What is the hundreds digit of d(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -97\nAnswer: 19.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 552 divide 5143206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2260207 - -1?\nAnswer: -2260206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a + 78*a**3 + 9 - 79*a**3 - 5 - 3*a**2. Determine p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 657a67 - -4?\nAnswer: 657a6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 + 0 = 0. Let h = j + 8. Let z(n) = h*n + 1 - 4*n - 3*n. What is z(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1360 and 492864?\nAnswer: 2464320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i + 4. Let w(k) = -3*k - 2. What is -2*a(v) - 5*w(v)?\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.6 + 8.6. Let t = 5515\/196 - 117\/49. Let p = t - 47\/2. Which is bigger: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*d**3 - 3 + (0*d + 4*d - 3*d)*(-d**2 + 5*d**2 - 3*d**2))*(0*d - 2*d**2 + 0*d).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -69.9240456 and 187.\nAnswer: 117.0759544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {c: 8, z: 4, o: 4, q: 3}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 6*z**2 - 4*z + 7. Let h be g(-3). Let q(w) = w**3 + 9*w**2 + 13*w + 9. Let r be q(h). Let u = 35 + r. Sort u, 0, -5 in ascending order.\nAnswer: -5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 9. Suppose 0 = 4*s - 20, -3*t - s + 2 + 3 = 0. Suppose -n*u + 3*u + 92 = t. Calculate the common denominator of 1\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2285\/5 - ((-5)\/5 - 1) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (802 - 86 + 10)*(-4*a - 11 + 11 + (3 + 1 - 3)*(-5*a + 2*a + a))*(-2*a + 6*a - 3*a).\nAnswer: -4356*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255998636.\nAnswer: 2, 239, 267781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 divided by -6.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44981*c**4 + 56*c + 3376 wrt c?\nAnswer: 539772*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*v + 8. What is the remainder when 626\/18 + v\/27 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 + 21*i - 107. Is 19 a factor of w(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*u - 18486 = 20034. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/63)\/((-14)\/(-6)))\/((-416)\/112).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**3\/4 - 22553*v**2\/4 - 3436543*v\/2 + 1723910 = 0.\nAnswer: -22244, -310, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/130)\/(1\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -324 - -462. Let a = k + -98. Let d = a - 33.4. What is d rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2284 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21247 + -14989. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m + 1206 = 3*p, 0 = 4*p + 2*m - 1608. Suppose -5*h = 3*f - 1064, 895 + 903 = 5*f - 4*h. Let a = p + f. Round a to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 - 23*b\/4 - 6.\nAnswer: (b - 24)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 + 7 = -3*t, -3*l = 2*t - 29. Suppose 2*f - 1 = 12*o - l*o, 4*f + 10 = 2*o. Factor -4\/9*a + 8\/9*a**2 + 1\/9*a**5 - 1\/3*a**o - 2\/9*a**4 + 0.\nAnswer: a*(a - 2)*(a - 1)**2*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13196 - (39\/((-78)\/4) + (-3 - 1))?\nAnswer: 2, 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 2*p + 61 = -2*i, 65950*i - 152 = 65954*i - 4*p for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Suppose 4*d - 85 = -5*h, 0*h - 4*d = -h + 41. Let i = h - l. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 413*g**6\/15 - 37*g**2 + 239*g - 2. Differentiate y(q) wrt q.\nAnswer: 3304*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -738 - -426. Let u = l - -2180\/7. Let y = -3251.9 - -3252. Which is the closest to 1\/3? (a) u (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29742002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 + -0.7. Let x = 14 + j. Let g = -15.4 + x. What is the biggest value in -2\/11, g, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*g*m*t**2 - 50*g*m + 2*g*t**2 + 8*m*t**2 + 2*m + t**2 - 40*t wrt g?\nAnswer: -13*m*t**2 - 50*m + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3 - 1. Let y(n) = 2 + 212*n - 1 - 212*n - 3*n**3. Let b be y(v). Solve -2*x + 3*x = -b*k - 9, 0 = k - x - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20787359 to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 8*l + 5*l + 44 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -216125.\nAnswer: -2\/216125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 26, 46, 70?\n\"Answer: 2*g**2 + 10*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = 5*p + 5*f - 2*f, f = 5*p + 129. Suppose d - 56 = 4*j, -j = -0*d + 4*d - 224. Let y = d + p. Calculate the highest common divisor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -39, 373\/2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 33 and -323936917466.\nAnswer: -323936917433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/(4\/24)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 448696\/25 or 17947?\nAnswer: 17947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/4 + 33*y**2\/4 - 93*y\/4 + 63\/4.\nAnswer: -3*(y - 7)*(y - 3)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 33*q**2 + 15*q - 55. What are the prime factors of g(-13)?\nAnswer: 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 1231923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -27. Suppose -15*i - 13 = -103. Calculate the lowest common multiple of m and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1934 + -1870. Solve -23*d + 55*d = s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 2. Let i = -22 - -77. Let d(y) = -y**2 - 15*y + 3. Let f be d(-7). Let q = i - f. Determine p(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3639\/9 + -6)*6\/(-45). Let z = q + 38681\/720. Calculate the common denominator of z and 13\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 13 - ((-7 - 2) + (12 - 7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5547.514mm?\nAnswer: 0.005547514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0662139 plus -23.058?\nAnswer: -22.9917861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -o - 4. Let c be 3\/(-3)*8\/o. What is the first derivative of c + 0 - 2 - 2*i wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5985 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -386 + 386.2. What is the biggest value in -0.3, -0.11, 0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -24*b**2 - 1\/24*b**4 + 0*b - b**3 + 0. What is n(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/7739 or 0?\nAnswer: 10\/7739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*l + 2 + 582*l - 42*l.\nAnswer: 601*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p*p*p\/(p**4\/p)))\/(p**22*p))**(-2\/17))**(-25\/2) assuming p is positive.\nAnswer: p**(-575\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1407)\/14*(6\/9 + -2) is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -537*v + 1513*v + 791*v to r + b*v and give b.\nAnswer: 1767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-1\/2))**(1\/54)\/(n**0)**(-2\/23)*(n**(-6)*n*n)\/(n**(-4\/7)\/n)*n**(-4)\/(n*n\/n**(-5)) assuming n is positive.\nAnswer: n**(-10117\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22122638 is divided by 693.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3311 - 3314. Let t = -3519 - -3521.962. Let z = c + t. What is z rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, w: 5, z: 3}. What is prob of sequence wwz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/7))\/q)**(-32))**15*q**6*q*q**1*(q**7*q)\/(q*q**(2\/5)) assuming q is positive.\nAnswer: q**(-4289\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(210)\/sqrt(96) - sqrt(35)) + sqrt(35))\/sqrt(7).\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**4 - 8170*y**3 - 383635*y**2 - 4752830*y - 4377360 = 0. What is y?\nAnswer: -1586, -24, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126689759 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -19*f + 351. Let c(j) = 7*j - 175. Calculate -5*c(s) - 2*k(s).\nAnswer: 3*s + 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1339 + -859. Suppose -2*c - c = -q. What is the greatest common factor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u**(-19)\/u)\/u))\/(u**(1\/2)\/u*u)*(u**(-3))**49)**(-47) assuming u is positive.\nAnswer: u**(11797\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 134971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.57381 rounded to one dp?\nAnswer: -27.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2993 + -4790. What are the prime factors of 4*6\/((-72)\/p)?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4881205001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, u: 2, h: 3, m: 2, c: 2}. What is prob of sequence cpum?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 10, f: 3, r: 1}. What is prob of sequence nrn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:32 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 2. Let t = b - 46. Let g = -89.902 - t. Round g to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) 0.062 (c) 1\/84 (d) 3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {g: 3, t: 5, i: 9, d: 2}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*y**3 + b + 21*y**4 - 26 wrt y.\nAnswer: -6*b*y**2 + 84*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -7*s. Suppose 5*u + 0*u = s. Solve 4*o = -4*c - 8, o + u*c + 2 = -4*c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udddddu. What is prob of sequence dudd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22888 - 22885. What is m in -10\/3*m + 2\/3*m**w + 2\/3*m**2 + 2 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 84. Let c = a + -80. Which is smaller: -62 or c?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9830905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -943 - -0.113.\nAnswer: -942.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31477123*o**2 + 57112143*o.\nAnswer: -62954246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -231, -240, -249, -258, -267, -276?\n\"Answer: -9*w - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 10:47 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03346 rounded to three decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 142?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k - 5*y = 102, 5*k - 3*y = 620. List the prime factors of k.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**8\/1680 + n**7\/63 - 5*n**6\/36 + 4*n**4\/3 - n**2 - 25*n - 2. Let r(u) be the third derivative of l(u). Factor r(o).\nAnswer: -4*o*(o - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226516327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 54 in decreasing order.\nAnswer: 54, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 2. Suppose 7*f - t = 2*f + 35, -4*t - 20 = -5*f. Suppose -4*u = -6*u + f. Suppose 2*j + 0 = -u. Give r(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4735.545t to grams.\nAnswer: 4735545000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*m - 56*m + 1048 + 1048 - 64*m - 3142 + 1046.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-nine halves of a gram?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.01194 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207232155 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 + 9*y - 19. Suppose 6*k = -0*k + 66. Is z(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7804 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 62, 67, 84, 119, 178, 267?\n\"Answer: h**3 - 2*h + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -43. Suppose 6*g - 2*g = 12, q + g - k = 0. Let n(z) = 2*z - z - 11 - q*z - z. Let w(r) = 2*r + 6. Give -6*n(p) - 11*w(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2745358455 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 901 times 1\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*n**5 + 12*n**5 - 59*n**2 - 4*n**5 + 8*n**2 wrt n.\nAnswer: -3000*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.69 rounded to zero dps?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i - 2. Let d be q(1). Let c(l) = -3*l**2 + 2*l - 1. What is c(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9877 + 36827 = 2*k. List the prime factors of k.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -15. Suppose -5*p + 2*b + 11 = 0, -4*p + 20 = -2*b + j*b. Let z(v) = 5*v**2 + 3*v. Let s(k) = 6*k**2 + 4*k. Determine p*s(t) - 4*z(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -1a5296?\nAnswer: -1a5296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v**(-2\/3)*v)\/v*v))**(-2\/29)\/(((v\/(v*v*v*(v\/v**(-2)*v)\/v*v))\/v*v*v)\/(((v*v*v\/(v*v**(2\/7))*v)\/v*v)\/v)) assuming v is positive.\nAnswer: v**(4103\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 7:12 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(99)*-2*-1 + sqrt(99) + sqrt(99) + sqrt(99)*2*4)\/((sqrt(27) + sqrt(27) + sqrt(243)*-6)\/((sqrt(216) - sqrt(24))\/sqrt(8))))**2.\nAnswer: -6*sqrt(11) + 115\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 - 1.80423371\nAnswer: -1.84423371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:49 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*x = -21 + 9, 0 = 5*n - 2*x + 6*x - 9 + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 5:18 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqquqyuqqqaququ. What is prob of sequence uuu?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20cc59 - 67?\nAnswer: 20cbc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*m - 245 - 41*m - 265 - 13*m + 505 - 19*m.\nAnswer: -m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (16 + 11 + -32)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-96)*-12*-59*12\/6.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-9)\/(-3))*(-20)\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -4. Suppose 0 = -3*o - 4*q + 15, 3*o + b = 3*q + q. Find the third derivative of -2 + 1 + x**2 + o - 2*x**3 wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 1 + sqrt(475)*-1 + sqrt(475))**2 - (4 + sqrt(475) + -1).\nAnswer: 5*sqrt(19) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -8901083.54.\nAnswer: -8901086.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) - (-47)\/(-9). Let v = -17 - -13. Is x smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = 4*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.2. Let x be ((-20)\/5)\/((-3)\/(0 + -3)). Sort x, v, -1.\nAnswer: x, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58630 - 29417. What is the remainder when f is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 j when four letters picked without replacement from {u: 3, j: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 3*q**2 + 4*q - 1. Let z be w(4). Calculate the lowest common multiple of 6 and (-21)\/(-5) - z\/(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12343\/154 - -569\/7. Find the common denominator of -81\/34 and f.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**6\/5 + u**4\/4 + 16*u**2 - 51*u. Differentiate a(y) with respect to y.\nAnswer: -24*y**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 35*z - 8. Let q(g) = -33*g + 7. Calculate 4*l(j) + 5*q(j).\nAnswer: -25*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*h**2 - 49*h**2 + 199*h**2 - 37*h**2 - 57*h**2 - 3*h.\nAnswer: 24*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 = 4*q. Calculate the common denominator of (-314)\/(-120) - q\/12 and 10\/(-12) - (-12)\/16.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15124.17141 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/97, 0.1, -2, 1\/4, 2 in decreasing order.\nAnswer: 2, 1\/4, 0.1, -1\/97, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1305, -1301, -1297, -1293, -1289, -1285?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10958036 and 7377.\nAnswer: -10950659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 46 = -1. Suppose q - 6*q - k = -5*n, 3*q - 8 = -2*n. Solve -f + 3 - n = 0, -4*y = -4*f - 36 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -s + 36, -14 = -2*s - 3*c + 84. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 59, 162, 319, 536?\n\"Answer: v**3 + 18*v**2 - 6*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 20.02386 centimeters?\nAnswer: 0.2002386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91931 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2247 (base 16) to base 14\nAnswer: -32ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51116 and 13364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 26*h - 546. What is p(22)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32308371, 64616743, 96925115, 129233487?\nAnswer: 161541859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 10.11. Let m = -0.1099955 - w. Round m to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -768*o**2 - 1094*o**2 - 929*o**2 + 1702*o**2.\nAnswer: -1089*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + 4 - 4)*(29*l**2 + 5*l**2 - 4*l**2)*(29 - 3 + 22) as a*l + v*l**2 + t*l**3 + o and give t.\nAnswer: -7200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 0 = -2*q - 25, -3*y + 14 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 5, 26 in increasing order.\nAnswer: -91, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27529, 27547, 27599, 27703, 27877, 28139?\nAnswer: 28507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79820203 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 2. Suppose 0*z - 5*c = z - 10, 2*z - 12 = -2*c. Suppose -o = -z*t + 2. Solve -t*a + 3 + 1 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*q - 56 = 6*y, -2*y + 4*q - 20 = 0. What are the prime factors of -478*(-3)\/y*-3?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110001001010001 + 10100?\nAnswer: -10110001000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/630 and -149\/17010?\nAnswer: 17010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6657.\nAnswer: 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 637933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/2 + (3 - 3) + 2. Let l be 21\/15 + (-9)\/(-15) + m. What is the units digit of 5 - l - 0 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 69794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -614408043857110974.99999883 - -614408018426074990. Let s = 25431035845 + x. Let c = s - -140. Round c to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51219?\nAnswer: 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39423809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**4\/6 - 40*f. Let y(i) = -3*i + i**2 + 7*i**2 + 3*i. Determine w(y(p)).\nAnswer: 128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*a - 0*a. Let m = 17055 + -17054.5. Sort m, -0.04, a in decreasing order.\nAnswer: a, m, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13294 times 0.3?\nAnswer: 3988.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1144 is divided by 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 3*x + 10. Let o be f(9). Let s = o - 46. Let b be 65\/15 - 2\/6. Solve -b*i - s = -6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 819 or -6179?\nAnswer: 819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) + 1)*-3.\nAnswer: -18*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbc when three letters picked without replacement from {m: 5, b: 3, c: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 7\/78*f**4 - 2\/39*f**3 + 0 + 78*f + 0*f**2. Suppose j(v) = 0. What is v?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/20 - w**4\/4 - w**3\/3 + w**2 + w. Let u = -1 + 1. Let n be -1*((u - -3) + -1). Determine m(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -7 - (4 + 2 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v - 4388 = -151*v + 5089. What is the remainder when 1203 is divided by v?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48222\/(-2223))\/(-47)*(-3)\/((-18)\/104)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -37*o**3 - 9*o**2 + 8*o - 99. Is h(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (56\/(-147))\/(30\/(-315)). Sort h, -336, -3 in descending order.\nAnswer: h, -3, -336","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30818 and 31578?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4489)\/8978*(2\/46)\/(-1)\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 5, -2, -244, -1\/699 in descending order.\nAnswer: 5, -1\/699, -1\/3, -2, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**3 + 5*y**3 - 2*y**3)*(104*y + 21*y - 231*y) as q*y**2 + m*y**4 + i + l*y**3 + w*y and give m.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*h + 25*h. Let i(w) be the second derivative of 3*w**2 - 1\/6*w**3 + h + w. Give i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/20 - (11 + (-342)\/30). What is the biggest value in -18, -5\/2, q, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -3 + 3)*(-3)\/(-6). Let j(t) = -t**2 - t - 2. Give j(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 - -3. Suppose -h = -5*x - 10, -4*h + 3*x + 0 = -6. Let t(n) = -n**3 - 2*n**2 - 2*n + 4. Let m be t(h). Put -2, m, r in decreasing order.\nAnswer: m, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17279101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29364061 to the nearest integer?\nAnswer: 5419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (17 - 8) - (8 - 46)) + -6.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/267117 and -145\/24.\nAnswer: 2136936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511*j**2 + 508*j**2 - 1531*j**2 + 512*j**2 + 12*j**3 - 11*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.728758 to 2 dps.\nAnswer: -4.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85.46 - 85.417805. Let g = 0.042 - n. Round g to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 21092\nAnswer: -105460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s + 7*s**3 - s**3 + s**3 + s**3 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = y - 3 - 8, 20 = 5*y - 3*s. Let j be (2 - -9)*1\/y. Let u(o) = 15 - 3 - o - j. Calculate u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2. Let f(n) = -n**3 + 20*n**2 - 18*n - 31. Let c be f(19). Let o be 26\/12*388 - (-8)\/c. Let y(u) = o*u + 0 - 7 - 835*u. Determine y(z(t)).\nAnswer: 5*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111010011010210 (base 3) in base 8?\nAnswer: -32456660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q + 1. Suppose 10 - 2 = 4*d. Suppose i - 4 = -d. Calculate y(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.65757 millennia in months?\nAnswer: 103890.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -2*a**6\/15 + 19*a**3\/3 - 11*a. What is the second derivative of b(s) wrt s?\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let z be c(1). Suppose -z + 3 = 2*p. What is the third biggest value in p, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + -4 + ((sqrt(85) - (sqrt(85) + (sqrt(85) - 2*sqrt(85))))\/sqrt(5))**2 + (-2 + sqrt(51)\/sqrt(3) - (sqrt(2448) + sqrt(2448)*-2)**2)).\nAnswer: -2*sqrt(17) + 4878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101100000000100 - 0?\nAnswer: 1010101100000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p - 4. Let s = -264 - -260. Let q be r(s). Calculate the greatest common factor of 40 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -9. Let r be 2\/12 + 62\/(-12). Let n = r + m. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 523012 and 14.\nAnswer: 523012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 352\/(-12))*3. Suppose -5*d + 5*f + l = -66, f = -4*d + 128. Suppose -2*u = 2*u - d. Solve -2*r + 2 = 2*h, -5*h + u = 2*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 9*i + 10. Let f be ((-583)\/(-1166))\/(((-3)\/16)\/3). What is n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1491 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -244858.88 rounded to the nearest 1000?\nAnswer: -245000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5\/2 + 19*k**4\/8 + k**3 - 15*k**2\/8 = 0.\nAnswer: -1, 0, 3\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/1)\/(132\/11 - 14). Suppose -14 = 6*d - 5*d - 4*z, k*d + 1 = -z. Are -28\/51 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5676, 11350, 17024, 22698, 28372, 34046?\nAnswer: 39720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 22. Let x be (-8)\/(-6)*(7 - o). Suppose -x*n + 51 = 3*w, 4*w + n - 33 = 22. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*20.9.\nAnswer: -10.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48024 and 72036?\nAnswer: 144072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1517744 and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -7\/51 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from {a: 4, x: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3294 is divided by 820.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1395292 divided by -697646?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 3*p + 3. Let f be c(-2). Let k = 2 + -3. Let y = -0.0272 - 4.9728. What is the closest to -1\/4 in f, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31280 and 2576.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5*x**2 - 1 + 6 + 0.\nAnswer: -5*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - 2*i**2 + i**2 + (-4*i + i + 5*i)*(-2*i + 0*i + i) + 1 + i**2 - 1 + (-1 - i + 1)*(-2 + 2*i + 2) - 2*i - i**2 + 2*i.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -5*u + 3*a, 2*u + 2*a = 6*a - 42. Let f = 37 + u. What is the smallest common multiple of 2 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -4, -9, 5\/4.\nAnswer: -9, -4, 1, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - (7 - 3 - -37)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y**2 - 4*y + 7. Let u be m(2). Solve u*r - 7*r = 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21974189 to the power of 1\/2, to the nearest integer?\nAnswer: 4688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -52. Suppose 5*s = a + 3. Suppose -4*m = -3*c - 1939, s*c + c + 20 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/243)\/(-1*(-1)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26979552 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1058 = -2*i, -13*i + 18*i - 5*r = 2625. Calculate the remainder when 531 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*q + 4, 3 - 7 = 4*q + 4*c. Let y(u) = -16*u + 2. Let w be y(q). Let z = w - -47. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19620*7.5.\nAnswer: 147150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) -0.1 (c) 12.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 12, 3, -28, 29, 2 in descending order.\nAnswer: 29, 12, 3, 2, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 118*f**2 + 196*f + 8942. What is the tens digit of q(-111)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyy when three letters picked without replacement from {a: 1, g: 14, y: 5}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5453*o + 17. Suppose 3 = -2*l - 19. Let f be m(l). Round f to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10*x + 6. Let o be q(-1). Let b be (7\/o)\/((-7)\/84). What is the tens digit of 782\/7 - (-6)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h + 5. Let b(d) = 11*d**2. Determine b(g(y)).\nAnswer: 44*y**2 - 220*y + 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101010010110 (base 2) in base 16?\nAnswer: -6a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1994?\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 339*s**3*x**3 - s**3*x + 76*s**3 + 2*s*x wrt x.\nAnswer: 2034*s**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163.39 - 165. Let t = 1.561 + m. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 62. Suppose 260 = 8*g - a*g. List the prime factors of g.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 1. Let b(j) = -4*j + 12. Let d(o) = -b(o) - 6*s(o). Let u(r) = r + 4. Determine 5*d(p) + 7*u(p).\nAnswer: -3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1269.277 kilograms to grams.\nAnswer: 1269277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/5, 1, 2\/9, 0, -0.07, -99.7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-20))\/2*(-46 + 896\/14).\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 4*i - 5. Let y be n(-5). Suppose -5*x + 6*c - 3*c + 74 = y, -x = 2*c - 7. Let a = 191 + -48. What is the greatest common divisor of x and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**5\/60 - a**3\/3 - 5*a**2. Let v(c) = -c**2 - 4. Give -5*g(y) + 2*v(y).\nAnswer: 3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55983 is divided by 258.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -147*j**2 - 85*j + 85. Let l(m) = 33*m**2 + 21*m - 21. Let t(z) = 2*a(z) + 9*l(z). Suppose -3*d = -7*d - 36. What is the units digit of t(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 1. Let w be a(4). Let l(g) = g**3 + 6*g**2 + 7*g + 10. Let s be l(w). Suppose -795 = -s*f - 3*f. Round f to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + (4 - 2))\/(4\/(-2066))?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4810, -9623, -14436, -19249?\nAnswer: -24062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 3. Let r be t(9). List the prime factors of r*3\/(-6) + 7.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95288 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -73.6. Let l = -0.5 + r. Which is the closest to l? (a) -1 (b) -1\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2 = 14, -2*v - 13 = -w. Suppose -w*y = -3*y - 8. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86904 and 1241?\nAnswer: 6343992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Let b = 10\/7 + -1. Let v be 3\/(-5)*(-4)\/(-12). Put v, s, b in descending order.\nAnswer: s, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -92, -107, -124, -143?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 481315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*j**3 - 21*j**3 - j**2 - 2*j**2 - 4*j + 2*j as s*j + h*j**2 + w*j**3 + d and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(85)*5)\/sqrt(5))**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by 5076527?\nAnswer: 50\/5076527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*s + 414 - 95 = 173 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u - 3*p = -27, -3*u = -4*p + 38. Sort 4, u, 2.\nAnswer: u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzezczccchzzzzzzv. Give prob of picking 1 e, 1 h, 1 z, and 1 c.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57005768 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5449511*n + 10899053*n - 5449542*n + 8*n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55799089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = -2*a, -3*a + 25 = 3*v + 2*v. Let z be a + 0 + (110 - 2). Let g = 192 - z. Is g a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from lilplplpuplplpplplpi.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -u + 25, -s - 4*u = 15. Calculate the remainder when 18 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 5*g - 2. Let w(k) = -4*k**2 + 9*k + 4. Suppose 0 = -4*n + 8, 2*n - 37 = 4*u - 5. Let y(f) = u*j(f) - 4*w(f). Give y(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12 < -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 3, a: 1, n: 3, o: 2, u: 1}. What is prob of picking 2 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + (sqrt(3) - -1*sqrt(3) - sqrt(3)))**2 + 3.\nAnswer: 2*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Let h(w) = -6*w - 26. Let k be h(-7). Suppose -4*v = z - 2, a = 3*z + 3*v - v - k. Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -42.52. Let d = n + 5.48. Let v = 0 - d. Which is the nearest to -0.1? (a) v (b) 6\/7 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 311836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 46*q - 4. What is the units digit of c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.179 - -156.821. Let r = z + -155.99. Let g = r - 0.01. Which is smaller: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 14. Let w(r) = 2*r + 2. Let t(z) = 5 - 7 - 14*z - 5 - 4. Let c(v) = -13*v - 11. Let a(d) = 4*c(d) - 3*t(d). Calculate l*w(u) + 4*a(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*l = -30*l - 1200 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 - 4)*(-9*j + 5*j + 17*j) - j + 0*j + 3*j + 2*j + 0*j - j - 2*j - 2*j + 2*j.\nAnswer: 40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 934515 and 19665.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104289 is divided by 11214?\nAnswer: 3363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 + (-3 - 0 - -2). Suppose -5*c + 2*c + p = 0. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, -3, -0.3, -5, -1\/8 in increasing order.\nAnswer: -5, -3, -0.3, -1\/8, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)*1*-5)\/(-3*sqrt(4)\/sqrt(2)) - (6*(5 + (sqrt(288) - (sqrt(288) + 1))))**2.\nAnswer: -576 + 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 5*x**2 - 262*x + 190. Let l(w) = w**3 - 7*w**2 + 8*w + 6. What is the least common multiple of n(28) and l(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8926118585\/99 + 90161728. Let m = -1086 - p. Calculate the common denominator of 151\/30 and m.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0*i**3 - 6*i**2 - 1\/2*i**4 + 0*i + 0. Let j(x) be the third derivative of x**4\/24 - 14*x**2. Give j(v(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 8*v**2 + 3*v + 0*v - 8 + 4*v. Let t(b) = -11*b - 90. Let k be t(-8). Let f(i) = i**2 + i - 1. Determine k*c(j) + 14*f(j).\nAnswer: -2*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 24 = 2*h, h = -3*d + 1 + 12. Suppose -4*j + j = -99. What is the remainder when j is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-6)*2\/3. Let j = -86 - -81. What is the closest to 0 in j, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 28*i + 27*i - 15 = 0, 20 = 4*d - 5*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24245, 48485, 72725, 96965, 121205, 145445?\n\"Answer: 24240*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -u - 668. Let g = u - 93. List the prime factors of g.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(273)\/(sqrt(1008)*2))\/(2*6*sqrt(27)))**2.\nAnswer: 13\/746496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 77.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 4*w**3 - 2*w**3)*(-4*w + 2*w + 4*w) + 5*w**4 + w**4 - 5*w**4 - 2*w**4 - w + w - 41*w**2 + 32*w**2 + 7*w**2 + 94 - w**4.\nAnswer: -6*w**4 - 2*w**2 + 94","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110000 + -12?\nAnswer: -2110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.36 and -32.\nAnswer: 11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 1, 2 in decreasing order.\nAnswer: 10, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 z, and 1 k when three letters picked without replacement from {k: 1, y: 2, x: 1, w: 1, e: 2, z: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8482)\/(-20) + 2\/5. Let l = -412 + m. What is the common denominator of l and (1\/8)\/((-2)\/(-166))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -75293.\nAnswer: 3\/75293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-22)*(20*-1)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25070 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 1252776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 plus -261258?\nAnswer: -261533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 171 + 312 = 5*x. Sort 4, x, 5, 7 in decreasing order.\nAnswer: x, 7, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -71. Is 27\/4 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 47, 54, 61, 68?\n\"Answer: 7*q + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + (-8761)\/(-1) - (1 - -2).\nAnswer: 2, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one halves of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 4319.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 156 - 104. Let v = n - 36. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3510 and 5.\nAnswer: 3515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 779 - 773. Suppose -9*k = -y*k - 15. Solve -t = k*t - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*f = 1018 + 2744 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 - 3*a**2 + 5*a**2)*(2*a**2 - 4*a**2 - 4*a**2 - a**2 - 3*a**2 + 3*a**2 + (a - 2*a - a)*(-5*a + 4*a + 0*a)).\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 482 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i - 15 = -3*b, -5*i - 5 = -b. Let a(l) = -l**2 - l + 3. Let h be a(0). Solve 35 = 4*n + 3*o, -h*n - 3*o + 4*o + 10 = i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3058876888 to the nearest integer?\nAnswer: 55307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184 - -219. What is the closest to l in -5, 6, 1\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 40. Suppose -2*t + q = 1. Calculate the remainder when 33 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 188.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = r - 5036, -20168 = -10*r + 6*r - 2*y. Is r a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 139*k - 4. Let u be j(1). What is the common denominator of u\/40 + (-5)\/1 and -69\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 - (131 - (-125 + 255)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, d: 1, a: 8, e: 1, t: 2, o: 1}. Give prob of picking 1 d and 1 j.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4235.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*i = -167*i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, 26, 170, 404, 746?\n\"Answer: 3*n**3 + 18*n**2 - 3*n - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from cebwxxzc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, v: 6, h: 1}. Give prob of sequence vs.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*z**4 + 0 + 7 + 19*z**4 + 5 wrt z?\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 1. Let i(q) be the third derivative of -7*q**4\/24 - q**3\/2 + q**2. Let a(m) = i(m) - 2*n(m). List the prime factors of a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**6\/360 - 7*k**5\/120 + 3*k**4\/8 - 2*k**3 + 9. Let j(g) be the third derivative of r(g). Calculate j(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.75282239 rounded to 2 decimal places?\nAnswer: 1.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3032 + 1008 + 1012 + 372*b**3 + 1012.\nAnswer: 372*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/2 + 380139285*b - 48168625333437075\/2.\nAnswer: -3*(b - 126713095)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**5 + 15*t**2 - 82*t**4 + t - 48*t - 358*t - 15*t**2 wrt t.\nAnswer: -60*t**3 - 984*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o - 254 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*b = -43*b + 146 + 7. Which is smaller: b or -20\/1239?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 + 3*u**2 + 1. Let v(n) = 4*n**3 + 4*n**2 - 2*n + 1. Let y(k) = -3*p(k) + v(k). Determine y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*u - 9*u + 11, -3*r + 39 = 3*u. Let k = r - 16. Suppose 0 = k*o - 0 - 6. Solve -3*m = o - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 2:02 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.189 - 0.089. Let i = h - -0.3. Which is the closest to 0? (a) -5 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 10 + 4)*(4*m**3 + 56*m - 5*m**3 + 65*m).\nAnswer: -11*m**3 + 1331*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 less than -0.0015576209614?\nAnswer: -0.2415576209614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1759530?\nAnswer: 2, 3, 5, 89, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2*q - 49. Let c(g) = -1. Calculate -c(a) + y(a).\nAnswer: a**2 + 2*a - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 21 = 3. Let z be 2\/10 + (-27)\/(-15). Let d(m) = -m**3 + 4*m + 7. Let r be d(-3). Solve t - r = -3*t + 2*o, -l*o = t + z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1485 = -9*x + 261. What is x rounded to 0 decimal places?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 62 + 136)*(3*s + 11*s - 4*s).\nAnswer: 1680*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 1350. Let j be r(0). Suppose 1104 = 6*m - j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.025 (c) -16 (d) 5 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8*w**2 + 3*w - 4. Let h be l(4). Let f = h - 73. Suppose 0 = 3*k + 2*s - 62, -4*s + s = -2*k + f. Calculate the lowest common multiple of 15 and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 5*r**2 + r + 7. Let v be z(-5). Let o be 3 + -4 + 302\/v. Let l be ((-2)\/(-5))\/((-10)\/o). Is -5 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 14*p - 12. Give r(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3131, -3133, -3139, -3149?\nAnswer: -3163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*19\nAnswer: -26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - (-13 + 5))*(-43909)\/76. Round l to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 3:17 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4559*y - 424103. Give w(93).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0 + 10. Suppose -v = 3, 3*q = 2*v - 6*v. Suppose q*f = o*d - 5, -10 = -5*d + 3*d. Solve -n - 6 = -2*u, u + f*n = 2*n - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3910*y + 30 = 3909*y, 2*y + 18 = -3*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*a + 5 = 38*a + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*m - 70 = 275*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -8*i + 10*i - 147, -5*q - 97 = -2*i. Suppose -3*k - 61 = -i. What is the biggest value in 1, k, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 4:29 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36703 and 27166?\nAnswer: 3450082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2\/152*-1*-4.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**2 + 4*r**2 + 4*r**2)*(17*r + r + 10*r).\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**3 - 1240833*u**2 - 128307405720*u - 384911049744 = 0.\nAnswer: -206804, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5, -1\/5, -0.4, -1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -902517, -902516, -902515, -902514?\n\"Answer: b - 902518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 6:36 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26101 + -26101.5. Let f = -5.01 - -0.01. Sort 0.3, -17, f, y in ascending order.\nAnswer: -17, f, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 15*s**2 + 2*s + 1. Let h be g(-4). Let o = h - 131. Suppose 0*w = 3*w - o. Calculate the remainder when w is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204\/7 - 7900\/273. Let u = -14\/39 + z. Let n be (-106)\/34 + 3\/1. Sort n, 5, u in ascending order.\nAnswer: u, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000523642 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10878623\/108 + -100729. What is the common denominator of 11\/36 and c?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004140815028 rounded to seven dps?\nAnswer: 0.0041408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3543.4 - 3543.35. Put x, 2\/21, -10 in increasing order.\nAnswer: -10, x, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 3*z + 11 = 4*i - 2*i, -20*i = -5*z - 60*i - 105 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10217230 and 1290.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 9, -4.\nAnswer: -4, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 13. What is the lowest common multiple of 18 and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*z - 3. Suppose -24 = -4*r + 4*f, 4*r = z*f - f + 15. Suppose -4*l - 28 = -4*v, 13 = 5*v - r*l - 22. Let u(s) = -s**2 + 6*s + 8. Calculate u(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 14897*c + 983172. Determine a(-66).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53500 rounded to the nearest 1000?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - (-5 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1679 - 0.3.\nAnswer: -0.1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/68 and -9\/8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 30. Let p be g(14). Let q(v) be the third derivative of 1\/36*v**4 + 0 - 2\/45*v**5 + 0*v + v**p + 0*v**3. Factor q(h).\nAnswer: -2*h*(4*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/4))\/o)**(1\/6) assuming o is positive.\nAnswer: o**(1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2035 + -2029. Let r(u) = 7*u - 21. Let x(m) = -8*m + 22. Determine a*r(q) + 5*x(q).\nAnswer: 2*q - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 1)*(-6*q - 4*q + 16*q) to u*q + x and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqbiiiibq. Give prob of sequence ii.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**11)\/x*x*x*x**(5\/8))**(20\/7))**(14\/9) assuming x is positive.\nAnswer: x**(-335\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13126 (b) 3\/5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -92, -212, -536, -1166, -2204, -3752?\n\"Answer: -17*s**3 - s - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -208456 - -208453. Let c(j) be the first derivative of -6*j**2 + 4*j + 1. What is c(n)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/18 + (-25)\/(-3). Find the first derivative of -3 + 8*t - f*t - t**4 wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 2*y**2 + 5*y - 3. Let k be i(3). Suppose 40 = k*n + 13. What is the highest common factor of 18 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174814661 by -2.\nAnswer: 174814661\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 3*t**2 + 4*t + 4. Suppose -4*q = -3*g - 24, 0 = g - 4*q - q + 19. Let p be c(g). Suppose 5*j = -j + p*j. Solve j*i + 2*i = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 - 2.3. Let d = 0.9 + -0.9. Let f = -0.3 - d. Which is the nearest to 2\/7? (a) 5 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + -2 + (-1 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27330 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from qzgnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 70560 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 252?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Suppose 0*i + d - 2820 = -3*i, v*d = -4*i + 3758. Suppose 201 = -10*u + i. What are the prime factors of u?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1230262 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/8 - (-135)\/(-540). Which is smaller: -28\/131 or j?\nAnswer: -28\/131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 - -224?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 6\/7 (b) 0.4 (c) -18 (d) -3\/4 (e) 1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -2\/5*o**5 + 0*o**4 + 0*o + 11 + 0*o**2 + 14\/3*o**3. Find the third derivative of l(a) wrt a.\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667382538 a multiple of 805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520323 is divided by 123?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/11 - 10518232*k**3\/11 - 31554708*k**2\/11 - 31554712*k\/11 - 10518238\/11.\nAnswer: 2*(k - 5259119)*(k + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 898*s - 11565. What is r(13)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.01 + -4.3. Let x = q - -0.29. Which is the nearest to x? (a) -2\/5 (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - b + b + (-2*b + 0*b + b)*(3 + 0 - 4) + b + b + 5*b)*(81*b - 148 + 148) to n*b**2 + c + t*b and give n.\nAnswer: 891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - a + 67, -a + 2080 = 4*f + 2223 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-11) - (83235\/(-4092) + 17).\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1800 + -14399\/8. Let h = -1.2 + 1.4. Sort i, -24, h.\nAnswer: -24, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 17966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.8 + -4. Suppose -3*j + 5*j + 4*s = -6, 0 = -4*j + s + 6. Which is the nearest to j? (a) 5 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224 and 141072.\nAnswer: 1975008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 462398444 to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -442, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -13*j - 8. Let u be o(17). List the prime factors of (4 + -5)*(4 + u).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 24691, 813 in descending order.\nAnswer: 24691, 813, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 at least 1355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p = -n - 1, 2*p = n + 6. Suppose -p*f = -744 - 796. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-1 - 1) + (2 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 3. Let k(g) = 550*g**3 - 839*g**2 - 18. Let i(s) = 6*h(s) + k(s). Find the third derivative of i(w) wrt w.\nAnswer: 3300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 71*z**2 - 3*z. Let o(i) = 141*i**2 - 7*i. Let c(y) = -7*b(y) + 3*o(y). Let m(r) = -821 - 2*r + 821. What is c(m(d))?\nAnswer: -296*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4905 = -8*a - 10*a. What is the remainder when a is divided by 67?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from bjffbbb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2. Let w(u) = -48*u**2 - u - 6. Determine 6*r(h) - 2*w(h).\nAnswer: 96*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 2*a - 7. Let y be 1\/5 - (-642)\/15. Let b = a - y. Which is greater: b or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/6*((-25991)\/235)\/79?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 27\/20*u**5 + 1\/3*u**3 + 0*u**2 + 5\/12*u**4 + 19 - 2*u. Find the third derivative of l(h) wrt h.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 - 0.03. Let z = 464 - 468. Put s, -2, z in decreasing order.\nAnswer: s, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*h + 11. What is the smallest common multiple of 7 + -6 + 68\/4 and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -231343, -925411, -2082191, -3701683, -5783887?\n\"Answer: -231356*i**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2884*x - 46 - x**3 - 4*x**2 + 2912*x + 29*x**2. Calculate the remainder when l(26) is divided by (-1)\/1*-1 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3483529 (base 12) in base 16?\nAnswer: 9a7f31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18601, 12 in increasing order.\nAnswer: 1, 12, 18601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21413 and 170177.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22915448 by 184802.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/15 (b) -4 (c) 18 (d) 2\/5 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - k**2 - 20*k + 18. Let a be z(0). Which is bigger: 762\/43 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 16 = -i, -5*b + 32 = -2*i + 10. Solve 4*h + b*f = 4*f - 14, -h + 7 = 4*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1596278.\nAnswer: 2, 798139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 15*m - 14*m + 2*p, m - p - 1 = 0. Is 44 a factor of (-1)\/(m\/(-2860))*(-56)\/(-140)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*((1 + sqrt(363))*-4 + -4*(sqrt(363) + (sqrt(363) - (1 + sqrt(363)))) - -3*-6*(sqrt(363) + sqrt(363) + -1)**2).\nAnswer: -627696 + 16896*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2372.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229 divided by 771.\nAnswer: 229\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 12:23 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + -70 + -19 - (0 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q\/((q\/q**(1\/2)*q)\/q)))*q)\/(q*((q**(1\/4)\/q)\/q)\/q))**39*(((q\/q**3)\/q)\/q)\/q**3*q**2*q**(1\/2) assuming q is positive.\nAnswer: q**(645\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*i*p**4 + 13*i*p**2*x - 3*i*p**2 + 32*i + 26*x - 1 wrt p?\nAnswer: -44*i*p**3 + 26*i*p*x - 6*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3868 = 6*t - 1640. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1724.95 - -1725. What is the nearest to -3.9 in m, -4, -0.04, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263 + 263 - 48*d**2.\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5) + (-168)\/(-315)*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56524*j**3 + 44589*j?\nAnswer: 339144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*s**2*t**4 + 3*s**2*t + 203*s**2 + 2*s wrt t.\nAnswer: 200*s**2*t**3 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -502807*o**4\/3 - 502809*o**3 + 1508415*o**2 + 4525281*o + 54 = 0. What is o?\nAnswer: -3, -6\/502807, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 9*f - 75 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3015)\/(-29145) - (-342)\/58. Let l(g) = g**2 - 8*g - 11. Suppose -3*v + 15 = -6*v. Let u(i) = i**2 - 7*i - 10. Determine s*u(f) + v*l(f).\nAnswer: f**2 - 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-306)\/(-68) + 1\/(-2) + -4. Let j = 2\/19 + -1\/190. Let g = -2.2 - -2. Which is the third biggest value? (a) g (b) j (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 28*t - 1721. Calculate o(46).\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/102 and -27\/4828.\nAnswer: 14484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12340 and 360500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4491003 and 11431644.\nAnswer: 125748084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/20 and 3\/82.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(12\/(-18))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6769596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 394, 809, 1282, 1843, 2522, 3349, 4354?\n\"Answer: 5*o**3 - o**2 + 383*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/5 + -9\/20. Let j = 1.05 + -0.05. Let f = -1 + j. Which is the closest to g? (a) -0.2 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 107*n**2 - n - 4. Let g be s(-5). Suppose -3*x - g = -3*c, -2*x - 2*x + 4415 = 5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t + 30. Let s be c(0). Solve 9*m - 3*m = -s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -14*a + 1. Let v(c) = 21*c - 24. Let o(i) = i**3 - 4*i**2 - 4*i + 3. Let m be o(5). Calculate the remainder when v(m) is divided by y(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/57)*(b*b**(-37))\/b*b assuming b is positive.\nAnswer: b**(-2054\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2 - 3 + 2 - 2. Let i(x) = -2*x - 3. Let a(t) = i(t) - 4*z(t). Let f(k) = k + 1. Let m be f(4). What is a(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -8 (b) -2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -697277*b + 348722*b + 348465*b.\nAnswer: -90*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2. Let w(o) = o + 1818. What is w(a(t))?\nAnswer: -2*t**2 + 1818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)\/x)**(5\/3) assuming x is positive.\nAnswer: x**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*g - 157116 = 221856. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/63 + (-76)\/(-18). Suppose -7*y + 209 = p*y. Find the third derivative of -26*o**2 - 1578*o + 1578*o + y*o**3 wrt o.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13469602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t - 1589 - 855 = 4*t + 10*t for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.9384186 rounded to three decimal places?\nAnswer: 24.938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 47.2, 49, -2\/21 in descending order.\nAnswer: 49, 47.2, -2\/21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*a + v - 0, 0 = 3*a - 3*v - 15. Suppose 1053283 - 253283 = a*n. What is n rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2) - (-1)\/2. Let t(f) be the first derivative of -11*f**4\/4 - f**3\/3 + 1. What is the lowest common multiple of t(u) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 21*f**3 + 3*f**2 - 21*f.\nAnswer: -3*f*(f - 7)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36 + -5)*-2*1\/2. Let j = 131 - k. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2633+-196\nAnswer: 2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (136\/6)\/((-116)\/(-580)*6\/(36\/10)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12425492 divided by 6212746.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22100)\/28 + 6\/21. What is the remainder when 12\/9 + b\/(-9) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5\/7 - 176*o**4\/7 + 1504*o**3\/7 - 3072*o**2\/7.\nAnswer: -2*o**2*(o - 4)**2*(o + 96)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3037?\nAnswer: 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 216*z - 253. Let o be y(4). Solve 17*i + o - 492 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8756*u**3 + 27780*u**3 - 8494*u**3 - 9306*u**3.\nAnswer: 1224*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3874)\/(-48425)*75\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(-2*sqrt(11)))\/sqrt(4) + -2.\nAnswer: -2 - sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 724.64 to the nearest ten.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**5\/10 - 13*v**4\/12 - v**3\/6 - 3*v**2 - 3*v - 7. Calculate the smallest common multiple of g(-7) and 30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millennium in decades?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 4*h + 12. Suppose 0 = -z, 3 = -5*l + h*z + 18. Suppose l*y + 2*p + p = 3, 0 = y + 3*p + 1. Solve -2 = y*b - 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 0.04.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.2, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 51, 5\/3, 1.5, -2\/9 in decreasing order.\nAnswer: 51, 5\/3, 1.5, 0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + 0*k - 3*k)*(-5*k**2 + 4*k**2 - 2*k**2) + (-3*k + k + k)*(0*k**2 - 5*k**2 + 4*k**2).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.88 + 26.88. Which is the closest to -0.3? (a) -17.2 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 924974552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1586 + 1128. Let n = k - -486.6. Which is smaller: 1\/2 or n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 - -5.5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*p + 172327 = 178942 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*a**3 + 90*a**3 + 166*a**3.\nAnswer: 188*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3605088 is divided by 721014.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 + 8*k. Let y be a(3). Let x(l) = -15*l + 10. Let s be x(y). Let w = 162 - s. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9) - 6\/(-9). Suppose 44 = 2*t - y*t. Suppose -2*q = -4*q + t. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301865 is divided by 21532?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 6*t - 5. Let j be z(-7). Determine v so that 3*v**2 + 10*v**3 - 10*v + 19 - 3*v**4 - 3*v**j - 16 = 0.\nAnswer: -1, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299, -933, -1881, -3149, -4743?\nAnswer: -6669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b. Let s = 53 + -26. Solve 0 = -4*k + 2*y - 14, 5*y = 2*k - b*y + s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/12 + 13\/12. What is the closest to -4 in 5, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14800*m**2 + 71158385*m + 72120.\nAnswer: -5*(m - 4808)*(2960*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*h - 4*h. Suppose h = -5*d + 5*k - 4*k + 2250, 4*k = -20. Does 39 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6\/31, -20, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(114))\/sqrt(6) - (sqrt(19) + 1 + 4))**2.\nAnswer: 20*sqrt(19) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148685677?\nAnswer: 7, 21240811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543444745 a multiple of 2113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*f + 0 - 6*f**3 - 2\/3*f**4 - 18*f**2 = 0. Calculate f.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*v + 32313902 = -104286110, -102450012 = 3*g - 4*v. Round g to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 299833911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -100010?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -2 + 4*k**2 + 68 + 82 - k - 26. Give b(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 15.02. Let v = 2.02 + y. Let r = 4.8 - 3.8. Which is the nearest to r? (a) v (b) 3\/7 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**3 + 218*g**2 + 189*g - 1152. Let t(p) = p**3 - 27*p**2 - 24*p + 144. Let r(d) = 6*f(d) + 51*t(d). Factor r(w).\nAnswer: 3*(w - 24)*(w - 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.98227 millilitres in litres?\nAnswer: 0.05598227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*l + 2*l - 431, -5*s + 4*l - 2183 = 0. Let k = s + 446. Solve 5*x + k = 31 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 3*c + 3*c)*(-3*c**3 - 12078 - 96*c + 12078).\nAnswer: -3*c**4 - 96*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08345 in -2\/11, 4\/11, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -744285.423 rounded to the nearest 100?\nAnswer: -744300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108005 by -2.\nAnswer: 108005\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -10. Let s be (-115)\/y + (-4)\/(-10). Solve -s*t + 12 = -13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009026 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -56 - (999 + -865)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, -57, -216, -531, -1056?\n\"Answer: -9*i**3 + 3*i**2 - 3*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*h - 5 = 0, -30*p + 32*p + 3*h = -4. Suppose -3*f + 18 = l, -3*f + 3*l + 26 = 8. Solve p*i = 5*i + f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.024169 + -0.024169. Let n = 4 - -2. Which is the nearest to d? (a) 1\/2 (b) n (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210910 divided by 10?\nAnswer: -21091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**3\/6 - 7*m**2\/2 + 1582*m. Suppose -3*k = 2*k + 20. Let x = k - 2. What is n(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d + 3*d - 336 + 363 + (-d - 1 + 1)*(4 - 5 + 3) - d + 2 - 2 - d + 3 - 3 + (-2*d + 5 - 5)*(5 - 3 - 4) + 2*d + 1 - 1 + d + d - d + d + 2*d - 2*d.\nAnswer: d + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-15) - 42\/5. Let t(j) = -252 - 244 + 759 - 252 + j. Calculate t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/5*3\/((-18)\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -562 or -693?\nAnswer: -562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76059, 151744, 227429?\nAnswer: 303114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 95 + 95)*(-4*q + 36*q - 2*q).\nAnswer: -150*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36583658106951 from -0.3.\nAnswer: 36583658106950.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1692 divided by -94.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36961*d**2 - 2188?\nAnswer: 73922*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10435 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**7\/42 + 2*l**6\/15 + 3*l**5\/10 + l**4\/3 + l**3\/6 - 42*l. Suppose h(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((3 - 2) + -2). Let l(k) = 1619*k**2 - 1624*k**2 + 0*k + k. Give l(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/46305 and -71\/1470?\nAnswer: 92610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2364a24 + -14?\nAnswer: -2364a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*n + 12*n + 4*n + (-n + 4*n - n)*(4 - 21 + 3) as r*n + q and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1559 - 1555.255. Round x to one decimal place.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w + 37*w + 4*h = -20, -5*w - 4*h = -20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, u: 5}. Give prob of picking 2 u.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 660 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = -2*i - 103. Suppose -a + 3*a = 8, i = 3*n - 3*a. Let f = -40 + n. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x + 1. Let n(b) = 5*b**2 + 3*b + 4. Calculate 2*n(i) - 6*s(i).\nAnswer: 4*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p - 1. Let n(b) = 2*b**2 + 12091. Give n(y(f)).\nAnswer: 50*f**2 - 20*f + 12093","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2756 and 7795346.\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)\/a*a**(-2\/9))**(-35) assuming a is positive.\nAnswer: a**(3535\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - 16*z**3 - 14*z**3 + (6 - 4 + 1)*(4 + 2*z**3 - 4) - 4*z**3 + z**3 - 4*z**3 to the form i*z + o + x*z**3 + j*z**2 and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(sqrt(13)*2*-6 + sqrt(13) - (0 + sqrt(1872)) - (-1 + sqrt(13) + 3 + -2))**2.\nAnswer: 179712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -53. Suppose 0 = 3*b + z*b - 970. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34640054 at most -34640054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylykbufylyfyyuyuyf. What is prob of sequence bfb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**2 + 2*m - 3. Suppose 0 = q - l, -20*q = -14*q - 5*l + 4. Let j(a) = -7*a**2 - 3*a + 3. Determine q*d(r) - 3*j(r).\nAnswer: -3*r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*r = 133779 - 29068, 0 = 3*b - 4*r - 78479. Is 28 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/1 - (-69 - -64)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 18, 0 in decreasing order.\nAnswer: 36, 18, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q - 4. Let z be w(6). Let i be 1\/4 + 55\/z. Suppose 2*h - 4 = -i*y, 8*h - 3*h + 32 = 3*y. What is the least common multiple of y and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**8\/48 - 3*d**4\/8 + d**3\/6 - 11*d**2. Find the second derivative of q(n) wrt n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 442713 = 5*h + 94760, -4*k = -5*h + 347963. Let c = h - -550409. What is c rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13195.\nAnswer: 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/79 + 306\/395. Let n(d) = -d + 3. Let h be n(0). Sort -4, m, h in descending order.\nAnswer: h, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = -2*t + b, -b - 49 = 4*t + 463. Let i be -2 - -3 - t\/(-126). Let y(n) = -n**3 - 5*n**2 - 81*n - 225. Let m be y(-3). Which is greater: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 + 151 - 425 - 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 + -1.6. Let n be (12\/3)\/(4\/(-6)). Are h and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 8*q**2 - 9*q - 2. Let x be i(-7). Solve a + x = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 950684 and 6?\nAnswer: 2852052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*k + 128 = 677*j - 673*j, -4 = -j + 3*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a hour in seconds?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, j: 1}. What is prob of sequence ff?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*y - 72. Let o = y + 28. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/324*((-30)\/(-24))\/(3\/(-120))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l - 16 = 0. Suppose -2*o = -0*o - l. Suppose -5*h + 5 = 0, -o*h + 14 = -0*m + 2*m. Solve 2 - 7 = 4*w + m*d, d + 1 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c + 2. Suppose -10*u - 30 = -10. Calculate d(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - p + 75. Suppose 4*r + 20 = -2*j, 0 = -2*j - 3*r - 2*r - 25. Is t(j) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 + 77 = -9*t. Let z be -8 - -3*t\/15 - -6. Solve 2*v - 5*v = z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3905261.\nAnswer: 1583, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*g - 31, -107 = -4*v - 5*g - 139. Which is the nearest to v? (a) -4 (b) 2.9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7326 (base 16) to base 13\nAnswer: 10557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*r - 49846 = 0, 2*s - s = -3*r + 9977. List the prime factors of s.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19918210 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4 = 0, -y + 465 = -2*q + 474. Solve -3*v - 10 = -5*g, q*g - 23*v = -18*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1) + 4 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Let v(t) = -t**2 - 3*t + 3. Let a be v(2). Let n = q - a. What is the closest to 0 in -0.3, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19602 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-26)\/(-8))\/((-10)\/(-40)). Let a(r) = -3 - 9*r - 7*r + 4. Let g be a(-4). What is the greatest common divisor of g and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-9\/7)\/r*r)\/r*r)\/((r*r**(-19))\/r))\/(r**(6\/11)*r**30))**(2\/5) assuming r is positive.\nAnswer: r**(-1976\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 38 = 10*f. Let t be 2\/(-4)*(-1 - f). Solve -3*k + s - 5 = -2, 3*s = t*k + 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a - 3*r + 125, -a + 4*r = -46. Suppose -4*j + 5*g + 71 = 0, 5*j + 0*g = -4*g + a. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13531*v - 3391*v - 3389*v - 3404*v - 3390*v.\nAnswer: -43*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 8212200.\nAnswer: -8212197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23246*b - 23017*b + 13511 = 0 for b.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*(1\/4 + -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11607 - 20?\nAnswer: -11627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 100 = -63*p. What is the second derivative of 4*t + 56971 + 58*t**4 - p*t - 56825 wrt t?\nAnswer: 696*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/20)*(y\/((y\/y**13)\/y))\/y*((y\/(y\/y**(-41)))\/y)\/y**(-31) assuming y is positive.\nAnswer: y**(39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16609.9 decades to years.\nAnswer: 166099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from kjjajjkjjaakkjakaak.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 173310399117 and 0.18.\nAnswer: 173310399117.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -16*g**3 + 3*g**2 + 29*g + 3. Let t(j) = j**3 + j**2 - j + 1. Let l(i) = b(i) - 3*t(i). Find the second derivative of l(h) wrt h.\nAnswer: -114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 - 7*t**2 - 7*t - 1. Give g(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/(1\/(-34)). Suppose f = 2*b - 3. What is the remainder when 37 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-8)\/160)\/(1*(-3)\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/5))**15)**(-2\/75)\/((v\/((v**(2\/3)*v*v)\/v))**(-40)*(v**(-1))**(-5\/6)) assuming v is positive.\nAnswer: v**(-1379\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + w + 53 - 30 + (w + 0 + 0)*(1 + 0 - 3) + (0*w + 6*w - 3*w)*(-1 + 4 + 2).\nAnswer: 14*w + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1462*c - 11683. Determine q(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 31 + -69 + 44 + 0 + 1\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/7*i + 0*i**4 - 1\/7*i**5 + 2\/7*i**3 + 0*i**2.\nAnswer: -i*(i - 1)**2*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7180, 14374, 21568, 28762, 35956?\nAnswer: 43150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 157880783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*h - 459 - 189 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2672016 and 7128?\nAnswer: 793588752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 21*j - 717. Give p(41).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83257317\/280 - 297348. What is the common denominator of v and -29\/10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 149142*o + 149139*o - 298177*o + 0*o - 3*o + 4*o + 0*o + 3*o - 2*o - 2*o - 2*o + 3*o + (0 + 2 - 3)*(-3*o - o + 6*o) - o - 1 + 1.\nAnswer: 102*o - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/35*-26 + 20\/(-5). Let p = 0.3 + -0.5. Let o = -0.6 - p. Which is the second biggest value? (a) o (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4933232 rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 2, g: 1, q: 1, v: 1, y: 1}. Give prob of sequence jyj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19438364 and 56947?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 1 - 6 + 1)*(-i + 3*i - 3*i)*(43 - 43 + 14*i).\nAnswer: -28*i**3 + 56*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e3 - 3a?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/(3\/(-6)). Suppose -h = 5*f - 31. Solve -f*u + u + 25 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 476\/102*6\/7. Let w(l) = -l**3 + 5*l**2 - 2*l - 8. What is w(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 14 + 2 = 0. Let b = p + -6. Solve 0 = -c + 5*c, -2*v - 2*c = b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -2776.079\nAnswer: -8328.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 40*m**3 + m**2 - m. Let j be -1*(3\/(-2) + (-3)\/(-6)). Let c be p(j). Calculate the highest common divisor of 400 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -6. Suppose 3*d - b = 2. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 4. Put 2\/9, -2, g in descending order.\nAnswer: g, 2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 843*u + 2221 - 842*u + u**3 - 2*u**3. Is m(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -245 + 260. Let x be (-1)\/((-6)\/(-4))*-6. Solve 0*s = -2*b - x*s + 28, s = 5*b - r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + (2 + 0)*-1. Let t = -2 + 4. Let z(v) = 3*v - 2. Let l be z(t). Solve 4*r + 32 = -4*n, q*r + 36 + 0 = -l*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 30*i + 16. Let o be a(6). Suppose 40 = -3*x + o. Suppose g = -2*r + 12 + 5, -4*r - 2 = -2*g. What is the remainder when x is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 47 - 41. What is the remainder when 123 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00842412614 to six dps.\nAnswer: 0.008424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600742 = -4*m + 5480742. Suppose 89*b = -138 + 850. Suppose -b*p = -13*p - m. Round p to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102605 to the power of 1\/2, to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 183\/3569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txchthxcxhcccchchch. What is prob of picking 2 c and 2 x?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(5)*-1) - sqrt(224)\/sqrt(4)*-5)\/(sqrt(968) - (sqrt(968)*-2 + sqrt(968)) - sqrt(288)*1).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 6 = -9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -18 - 25 + i**2 - i + 41. Let c be z(0). Put 3, -1, c, -3 in increasing order.\nAnswer: -3, c, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*-420.8.\nAnswer: -715.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 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: Solve -34*y - 1648 = -52*y - 188*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3868 - 17?\nAnswer: -3885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -147179363, -294358734, -441538105, -588717476, -735896847, -883076218?\n\"Answer: -147179371*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/98 - (-1)\/2. What is the closest to 1 in f, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60246941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 25*n + 3*i = 17*n - 5, 0 = 3*i + 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, l: 6, u: 5}. Give prob of picking 2 g and 2 u.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 - 75*u + 1175*u + 426*u)*(-3*u + 4*u + 0*u) to b*u + q + d*u**2 and give d.\nAnswer: 1526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -41, -9, -80, -3 in descending order.\nAnswer: 2, -3, -9, -41, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 909857758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23914 and -166.\nAnswer: -3969724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, r: 1, o: 2}. Give prob of picking 3 r and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 17*l - 52. Let n be y(13). Let a be 0 + n + 1 - 21\/1. Let o = 4 - 2. Sort o, a, -2.\nAnswer: a, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9695 - -9693. What is the biggest value in 0.4, -0.3, -0.04, g, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 709915878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 4:27 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -675787 (base 9) to base 11.\nAnswer: -256a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -305234 + -5?\nAnswer: -305243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w - 185. Let n(u) = 14*u - 296. Let a(q) = 5*n(q) - 8*s(q). Let p(y) = y**2 + 0*y**2 + 7*y**2. Determine p(a(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85532149, 171064295, 256596441, 342128587, 427660733, 513192879?\n\"Answer: 85532146*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -39. Let m(n) = 12*n**2 - 2*n - 3. Let q(l) = -23*l**2 + 5*l + 5. Let r(f) = i*q(f) + 5*m(f). What is the second derivative of r(t) wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*s + 15*j - 11*j, 4*s + 5*j + 31 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(440)\/(-6*sqrt(8)))\/(2*sqrt(11)*-1 - (sqrt(110)*-1)\/sqrt(10)).\nAnswer: -5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v**3 + 210*v**2 + v**3 + 210*v**2 - 420*v**2.\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1\/133, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4064 + 4310. What is the remainder when n is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932808 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**3 + h**2 - 41 + 2*h + 1\/4*h**4. Let q be s(-2). Sort -5, 7, q in increasing order.\nAnswer: -5, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6040*w - 2297 + 14997 = -6675*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, -1.2, 1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 0.01694\nAnswer: 0.11694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 92 = n, r - 2*n - 20 = 16. Let b = r - 37. What is the remainder when 13 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750 is divided by 136.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 9 = 5*p - 8, -p = 3*h - 25. Let r be h*18\/189*(-21)\/(-6). Solve 36 = -r*m - 9*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v. Let r(n) = -n**3 + 8*n**2 - 7*n + 2. Let f be r(7). Let k(l) = -2*l**2 + l**2 + 2*l**2 - 2*l**f. Calculate k(z(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 102487 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99281, -99280, -99279?\nAnswer: -99278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23607.\nAnswer: 3, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 14398398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2. Let y(q) = q**3 + q**2 + 2*q. Let i(f) = 3*w(f) + y(f). Let b be i(-4). Let r = 13 + b. Solve p = 4*s + 1 - 7, -r*s - p = -12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-192)\/(-9))\/((-4)\/(-30)). What is the highest common divisor of 120 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09678 to three dps.\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 + 9*c - 11. Let k be o(4). Let t(w) be the third derivative of -w**5\/30 - 11*w**4\/24 - 5*w**3\/6 - 245*w**2. Determine t(k).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(1\/35))\/(j*j**(-2\/45)))**(1\/4))**(-48) assuming j is positive.\nAnswer: j**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36579085379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1405.3 - 1405.33779. What is the third biggest value in 1\/8, -2\/3, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y - 5*c = 2813 - 2385, -2*y - 2*c = -6*c - 12 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260 and 1872?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 115*d + 18. Let b(g) = 58*g + 9. Let c(o) = 5*b(o) - 3*y(o). What is the hundreds digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359710 is divided by 2727.\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 399325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 6:15 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 12, 4, -32 in decreasing order.\nAnswer: 12, 4, -32, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32376288?\nAnswer: 2, 3, 7, 48179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1648, -6, 3, 0, 5, -4 in decreasing order.\nAnswer: 5, 3, 2, 0, -4, -6, -1648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4437 and 5202.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (5 + -10) - (-38 - -53)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 15, 20, 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293651 is divided by 146823?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 735, 1471, 2207?\n\"Answer: 736*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 96 = 9*o. Let p be (-7)\/((-28)\/o) + 12. Solve 2*r + y - 1 = 0, -4*y + 2 = -2*r - p*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2874 times 5\nAnswer: 14370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 4*u + 3. Let y be i(-5). Let s = y + 4. Let g(r) = r**2 - 1. Let k be g(2). Solve -h = k*h + s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1886, -1859, -1814, -1751, -1670, -1571?\n\"Answer: 9*n**2 - 1895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*3)\/((-120)\/438400). What is the highest common factor of b and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7)\/q)**(-7\/3)\/((q\/(q\/(q**(-3)*q)))\/q*q*q**(-8)\/q*q*q) assuming q is positive.\nAnswer: q**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79.63 + 5.63. Which is greater: -1\/4 or x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 27 + 7*f - 61 + 12*f**2 + 29 - f**3. Let l = 28 - 16. Is q(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 7:28 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/111, 0.2, -0.5?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2)*-2)\/(1\/(-2)). Suppose 0 = 4*s - m - 1108, -r*m - 1585 = -4*s - 481. List the prime factors of s.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1508 and 7.\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -311033120 (base 4) to base 5\nAnswer: -23434242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2446531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 12*l**2 + 2*l + 25. Let o be (-6)\/4*(5 + (0 - -3)). Let c be v(o). Solve -5 = -3*i + c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 + 12652\nAnswer: 12652.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 - 27*l**4 + 650*l - 650*l + 6*l**2 - 6*l**3 in the form f*l**3 + u*l**4 + z + a*l**2 + t*l and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17137012?\nAnswer: 2, 19, 443, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 - 78*a + 17. Let c be o(5). Let -2\/5*j**c + 36\/5 - 6\/5*j = 0. What is j?\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 0*o + o**2 + 0*o**2 + 2 + 0*o. What is the units digit of g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z**2\/5 + 822*z\/5 - 828\/5 = 0. What is z?\nAnswer: -138, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -2*c + 15*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12833 - 4)\/((12\/(-4))\/3). Suppose 3*f + u = 6*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1333211 + -223103?\nAnswer: -2222320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2554872706.\nAnswer: 2, 23, 7127, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 320, 494, 684, 896, 1136?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.971 + 0.029. Sort -0.5, m, -2, 0.1 in increasing order.\nAnswer: -2, -0.5, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/((-7350)\/2625)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 4. Let f be (-1)\/(0 - x\/5). Let n(l) = -l**3 + 6*l**2 - 4*l - 6. Let w be n(f). Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(684) + 0 + -3 + (sqrt(2299) - (0 + sqrt(2299))) + sqrt(2299) + -4 + sqrt(57)\/sqrt(3))**2*-1.\nAnswer: -12410 + 504*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*s**3 + 121*s**3 + 268*s**3 - 23*s**3 + 2*s**3 - s**3 + 0*s**3 + s**3 + 2*s**3 - 2*s**3 - s + 2*s**3 + s + (4*s + 0*s - 3*s)*(0*s**2 + s**2 + 0*s**2).\nAnswer: 420*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7013\/3822 - -1\/637. What is the common denominator of 13\/66 and n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11740 - 6071. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p + 42. Sort 2, 1, p in descending order.\nAnswer: p, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 5*g = 12 - 0, 4*q + 24 = -2*g for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 966425 and 84796?\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uby when three letters picked without replacement from {s: 1, y: 1, b: 1, r: 2, u: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 28*q**2 - 2*q + 6. Is r(3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1267\/1110?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1889536 and 35\/66?\nAnswer: 5668608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39981042 divided by 19990521?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -39. Suppose 0 = -3*l - n*q - 40, l + 2*q = 2*l + 17. Let u = 47 + l. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19272 = 5*v - 8*w, -v = 4*v + 4*w - 19224. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 1530 = -4554. Is c a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grgrggrgrggr. Give prob of sequence ggr.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183 - 106. Let z = -7 - -11. Suppose z*v - 97 = 7. What is the remainder when y is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = n - 2333, 2*f - 5*f - 15 = 0. Suppose 2*b + n = 5*b + 5*r, -2*b - 2*r = -1564. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**2. Let t be l(1). Let q = 4 - t. Let x = 1 + 0. Sort x, q, 3 in ascending order.\nAnswer: q, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66314948 divided by -16578737\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 742559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -2. Let b(o) = o - 1. Let r(g) be the first derivative of -g**3\/3 + g**2\/2 + g + 4. Let a(j) = -2*b(j) + r(j). What is a(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.058 - -0.442. Sort x, 4\/7, -0.5, 0 in descending order.\nAnswer: 4\/7, x, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2814 and 698840016?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57555 by -1.\nAnswer: 57555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1440 + 1440.2348. Round i to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -4, -71 in descending order.\nAnswer: 3, 1, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.923356 to three decimal places.\nAnswer: -1.923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.6, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15439976 is divided by 1662.\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 9*n**2 - 10*n - 6. Let a be l(-8). Suppose 0 = -0*u + 2*u - a. Let p(i) = -i - 2. Let s be p(-4). Put u, s, -1 in ascending order.\nAnswer: -1, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4744 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*c + 20, 0*w - 2*w = -3*c + 37. Let v = 38 - -10. Let t = v - w. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 458*d**2\/11 + 438*d\/11 - 20\/11 = 0.\nAnswer: -1, 10\/229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 190\/(-20)*((-4)\/2 + -12). Suppose y = 14*d + 5*d. What is the remainder when (-17 + 0\/2)*-2 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6433? (a) 2\/17 (b) 4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 - 2)*(-721*l**2 + 26750 - 26750).\nAnswer: -5768*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.55286 days to seconds.\nAnswer: 4108567.104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -388\/9 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 643 = 2*y, -96*y = 2*r - 93*y - 1282. What is the greatest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1854 and -29\/2678.\nAnswer: 24102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 4*q**7\/105 + q**5\/12 - q**2. Find the third derivative of i(r) wrt r.\nAnswer: 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*k + 13, -2*k = -4*k + z - 18. Suppose -3*o + 46 + 5 = 0. Let f = o + k. Calculate the remainder when 39 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, 0.3, 2\/47.\nAnswer: -1, -0.2, 2\/47, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -84, -204, -374?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*t - 2*h + 32, 70 = -5*t - 3*h. Let r = -5 - t. Calculate the smallest common multiple of 2 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 456 and 78.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870170178 to the power of 1\/3, to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21 - ((-19 - 7) + 17 + (5 - -2))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7105*j + 19072*j + 10*j**2 - 5985*j - 7*j**2 - 5982*j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3519629 + -183396. Let x = p - -3703283.9887. Let l = x - 259. What is l rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 + 2*s - 2. Let n(w) = 16*w**2 - 13*w + 11. Let p(b) = -2*n(b) - 11*t(b). Let q = -9 - -6. Determine p(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 236 + -146. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1500661215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -21, 0 in ascending order.\nAnswer: -21, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Let z = 5.5 - x. Which is the second smallest value? (a) -2 (b) z (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91830666 a multiple of 1353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115023*-285.\nAnswer: 32781555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/51, 0.5, -13, 50, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 389781 divided by 129927.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2. Suppose -3*l - 23 = 7. Let f = l + 21. Let u(s) = -4*s - 3 - f*s + 3. Calculate u(y(d)).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 12 - 30 = 0. What is the lowest common multiple of q\/4 - (-10)\/(-20) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82606636 to the nearest integer?\nAnswer: 9089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32519738.\nAnswer: 2, 59, 275591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + -3.06. Let a be ((1216\/171)\/(-16))\/(2\/(-18)). What is the third biggest value in y, a, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 25. Solve -2*t = 2*n - v, 0*t - 4*n = t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {z: 1, h: 2, w: 1, u: 1, l: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55074 and 106932.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 8) + (-21 - 90\/(-18)). Let x = -2.6 - 0.4. Is y != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -258.209705 to one dp.\nAnswer: -258.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11389380 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23768061?\nAnswer: 3, 2437, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1056.306602 and -0.4.\nAnswer: -1056.706602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 10. Let y be (-8 - -12) + -4 + c. Is ((-8)\/2)\/y + (28 - -38) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9983, 0, -1 in descending order.\nAnswer: 0, -1, -4, -9983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iziizzzozoot. Give prob of sequence oot.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 - 28*q**2 - 4*q + 75. What is the thousands digit of j(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10243 (base 5) to base 8\nAnswer: -1272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**3 + 9*h. Let g(b) = 2*b**3 + 6*b. Let c(f) = -8*g(f) + 5*p(f). Find the second derivative of c(q) wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000162947 rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 172 = -h. Calculate the remainder when h is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c + 33. Let v be l(-6). Let p be 3\/v + (-8)\/(-2) - 0. What is n in -3\/2*n**p - 3\/2*n + 0 + 3*n**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = 5*j + 3*x, 2*x + 4 = 2*j. Suppose j = a + 5. Is (268\/6)\/(a\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let r(w) = -18*w**2 + 39*w**2 - 4*w**2. Determine r(a(j)).\nAnswer: 68*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74957 - -120.09931.\nAnswer: 75077.09931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -5 (c) -2429.931\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1535 - 844. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 527 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -3. Let l be (-2)\/4 + (-27)\/j. Let v = -0.36 + 0.56. Sort -2, l, v.\nAnswer: l, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/24 + (-4)\/(62064\/11661). Is z at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.04, -1, 2\/73?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 831675129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -25*t**3\/6 + 92*t**2 + 2*t + 13. What is the derivative of c(v) wrt v?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 27 = 2*t, t + 14*u = 15*u - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2. Let o = 565 + -563. Let c(j) = -o*j**2 + 2*j - 552 + 552 - 15*j**2. Give c(z(n)).\nAnswer: -425*n**4 + 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100101000 (base 2) in base 6?\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3))\/(39\/54*3). Let f = -5 - -4.6. Which is the closest to -1\/8? (a) -2 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29576 - 20291. List the prime factors of m.\nAnswer: 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w - 27 = 81. Factor 4\/3 - 4\/3*h - h**2 + 2\/3*h**3 + 1\/3*h**w.\nAnswer: (h - 1)**2*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Suppose 3*t - 33 + 24 = 0. Suppose -t*a - x = -7. Solve -3*c - a = k, 0*k + 4*k = -5*c - 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2.2. Let g = -268 - -269. Let u = 3 - 0. Which is the nearest to g? (a) u (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 26*t - 21*t + 15, h + t + 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 - 3*b**5 + 2*b**5 + (-3 + 178*b**2 - 232*b**2 - 11)*(5*b**3 - b**3 - 3*b**3).\nAnswer: -52*b**5 - 14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2. Let b(w) = -2*w**2 - 9*w - 6. Let m be b(-3). Let g(h) = -h**2 + 1. Determine m*n(y) + 2*g(y).\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 1. Let w(q) be the third derivative of -q**5\/30 - q**4\/6 + q**3 - 82*q**2 + 1. Give -4*g(n) + w(n).\nAnswer: -2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -124966379262442 and -3?\nAnswer: 124966379262439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**4 - 40*k**3 + 336*k**2 - 736*k + 512 = 0. What is k?\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 598142643 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11664 divided by -144\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2304 + -4860.\nAnswer: -2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1, 1\/516, 3, -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.202 - 19.1986674. What is t rounded to five decimal places?\nAnswer: 0.00333","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 8) in base 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020658203 to 7 dps.\nAnswer: -0.0000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5, 4*k - 3*b = -0*k + 827. What is the greatest common divisor of 377 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeescssece. Give prob of sequence ce.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 841687933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 2. Let m(k) = -4*k**2 + 2*k - 16. Give -5*g(j) + m(j).\nAnswer: j**2 + 2*j - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**5\/60 + 7*u**4\/24 - 5*u**3\/3 - u**2. Let x be b(5). Suppose n + 0 = -x. Solve a + 1 - 5 = n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10615351 (base 7) in base 10?\nAnswer: 928684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -68*q**5\/7 + 104*q**4\/7 + 1356*q**3\/7 + 2512*q**2\/7 + 1712*q\/7 + 384\/7 = 0.\nAnswer: -2, -1, -8\/17, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11456 + 53605?\nAnswer: 42116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*a**3 - 15*a - 4*a**4 + 13*a - 99*a**3 - 1 in the form t*a**2 + d*a + k*a**3 + j*a**4 + i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21075*b**3*t + 3*b**3 + 15*b**2 + 2*b*t + 516*b - t wrt t.\nAnswer: 21075*b**3 + 2*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -3. Let x = -1 + g. What is the least common multiple of x and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100111 + -101?\nAnswer: -101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2288\/40)\/11)\/(26\/(-65))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -8*z + 2\/3*z**3 + 0*z**2 + 10. Suppose j(d) = 0. Calculate d.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 19. Is (-2)\/(w*4\/844) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 16*y + 9. List the prime factors of b(6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**4\/12 - 4*o**3\/3 - 3*o**2\/2 - 14*o. Suppose 48 = 3*s + s. What is the least common multiple of w(-5) and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1117 * -1.3.\nAnswer: 1452.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 625 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 275988024 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7427*p + 47 + 1921*p - 47 + 2175*p to n*p + a and give n.\nAnswer: 11523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 16. Let r(l) = 2*l - 31. Let w(c) = -11*d(c) - 6*r(c). Let o be w(10). Suppose o*h + h = 1. Is h >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 20 = 2*y. Solve 5*q = 10 + y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301154 and 6860?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-441)\/54 + 8)\/((-11)\/(-132)*-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1247083 is divided by 158.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 2.89, -0.25, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860303385?\nAnswer: 3, 5, 23, 683, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 74b3 (base 12) to base 2\nAnswer: 11001000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 9*u + 10. Let p be x(5). Is (-2448)\/(-26) - p\/(-65) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**0*r))**(-9\/2)\/(r*(r\/(r\/((((r*(r\/(r\/((r\/r**(2\/7))\/r)))\/r*r)\/r*r)\/r)\/r)))\/r)**10 assuming r is positive.\nAnswer: r**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5 + 7*p**2 + p**3 + 5 + 7*p - 1. Let u be m(-6). Suppose 0 = -3*l - h + 45, u*l - 79 = -2*l - 3*h. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**3 + 20*j**2 + 48*j + 12. Let z(v) = -3*v**3 - 10*v**2 - 21*v - 6. Let l(g) = 2*r(g) + 5*z(g). Give l(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Suppose -9 = -a*x + 23. Suppose 5*s - 3*j - 16 = 0, 3*s + j + 3 = 7. Solve c - h - 4 = 0, s*c - 3*h - x = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*c - 3*t, 165*c - 169*c = -2*t + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -676?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -441 + 427.8. Which is the second smallest value? (a) -1 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4900) - (sqrt(4900) - -1*2*sqrt(4900) - sqrt(4900)))*1)\/(-2*(2*sqrt(700) + sqrt(700))*-5).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 629384 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 97\/5 (b) -171 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.013\nAnswer: -0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-22)\/132).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 15*p. Let r be j(-3). Suppose -5*y - 10 = 0, 6*n - 3*n - y - 11 = 0. Suppose -5*m - n*k - 227 = 0, -m - 3*k + 0 = 43. Are m and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137.9 + -107.6. What is x rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**4 - 11*k**3 + k + 0*k**4 + k**2 + 4 + 12*k**3 to the form j*k**4 + p + r*k**3 + q*k + h*k**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 3. Let h be j(3). Suppose h*p - 4*p - 32 = 0. Let o be 3\/(-2*(-78)\/p). Which is the biggest value? (a) o (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -344.35 - -0.139.\nAnswer: -344.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 6 - 22 - 5*n - 6*n + 2*n + 2*n + (-5*n + 3*n + 0*n)*(5 - 1 - 2) to the form i + l*n and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14726981 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -24. Let a be (0 + 6 - 3) + 3 + -1. Let q = j - a. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2243*u + 1 - 3 - 1099*u - 1141*u.\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*s = -7*t - 15, -3*t - 7 = 5*s. Let f be 0\/1*(5 + t)\/1. Suppose v + 10 = -5*d, 2*d = -5*v + 17 + 2. Solve -v*p + f*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -5, -4, -1, 2, -3396, 1 in increasing order.\nAnswer: -3396, -43, -5, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141802427 to the nearest integer?\nAnswer: 11908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 - 3*p**2 - 44*p + 13*p + 10*p in the form d*p**2 + y + i*p and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 184*z**2 - 804*z + 10. Give p(4).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6*9\/6. Let a = -2281.64 - -2282.1. What is the closest to t in a, -0.2, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**5 + 0*c**5 + 2*c**5 + 0 - 2*c**5 + 0 + (4*c**2 - 24*c**4 - 4*c**2)*(0*c - 3*c + 2*c).\nAnswer: 21*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.954 + -0.046. Let f = 2.26 + -0.16. Let w = f - 2. Which is the biggest value? (a) 4 (b) n (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irkf when four letters picked without replacement from {r: 2, i: 2, k: 2, f: 6}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, 4\/9, -1\/24?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3356 + -3629.9. Let h = 274 + p. Put 4, -1.76, h in descending order.\nAnswer: 4, h, -1.76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -10 - ((2 - 0) + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11550 and 7490?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 27*k + 5*k + 8*k**2 + 18*k.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2459 + 0.0459. Let j be 1\/(-4) + (-1281)\/(-20). Let b = j - 63. Sort 2, b, g.\nAnswer: g, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -7.1?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*t**3 + 0*t**2 - 2200 - 59*t**3 + 732 + 12*t**3 + t**2 wrt t?\nAnswer: -222*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/z)**42 assuming z is positive.\nAnswer: z**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06556 - -0.12156. Put l, -1, 2, 5 in increasing order.\nAnswer: -1, l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125.7 * -317.569\nAnswer: 39918.4233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 1. Let s(r) = -1. Let q(m) = j(m) + 2*s(m). Calculate q(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6440*t - 9 - 6452*t + 4*t**2 + 42 - t**3. What is y(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 3, b: 2, d: 6, w: 2, r: 3}. What is prob of picking 2 q?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(9)\/(sqrt(3) + -6*sqrt(15)\/sqrt(5) - sqrt(3)) + 3 + (sqrt(3) + 1 + 3 - (-4 + (-1 + sqrt(3) - sqrt(3)))))**2 + 0.\nAnswer: 8*sqrt(3) + 433\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 521*n + 67432. What is o(-240)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 11*p**2 + 12*p - 5. Let f be k(12). Sort f, 4, -3 in increasing order.\nAnswer: f, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/245)\/((-12)\/705) - (-1)\/(-7).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-2\/3))*l)\/((l*l\/((l*l**(-2\/7)\/l)\/l*l)*l)\/l))**(-4)\/((l*l\/l**(-3)*l*l*l**(6\/5))\/(l\/((l\/(l\/(l*l*l**(-1))))\/l*l))**50) assuming l is positive.\nAnswer: l**(-41\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 21. Solve m + m - y = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -394, -403, -418, -439, -466, -499, -538?\n\"Answer: -3*p**2 - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 16. Let o be a(-12). Does 9 divide (-748)\/o + (-8)\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -94532, -378124, -850768, -1512452, -2363164, -3402892, -4631624?\n\"Answer: 2*h**3 - 94538*h**2 + 8*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6027)\/273 + -9 + 168\/(-182).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.82 - 0.18. Let p = 9 + q. Let b = p - 1.000009. What is b rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 38 = 5*y. Let b(c) = -c - 7. Let h be b(y). Solve -4*r - 8 - 11 = -3*l, 0 = h*r - 5*l + 27 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 250 and 105350.\nAnswer: 526750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6277606385 + -1231?\nAnswer: -6277607616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3454843 = 4170614. Let j = -1 + 1. Suppose -4*r + t + 458181 = j. Round r to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.277, 5, 19\/8, -0.1 in increasing order.\nAnswer: -0.277, -0.1, 19\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t = -56*t - 4. Sort t, -4, 3 in increasing order.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -229 + 0*l**5 + 10\/3*l**3 + 0*l + 0*l**6 - 15\/2*l**2 + 6\/7*l**7 + 0*l**4. What is the third derivative of q(n) wrt n?\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8626, 34781, 78352, 139333, 217718?\nAnswer: 313501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*s - 23 = 0, 0 = -5*i + 3*s + 12 + 16. Suppose i*n + 4 = 29. Let u be (-18)\/20*n\/(-3). Which is greater: 2\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 8.4, 5, 205\/2, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/3 and 111\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203 + -425\/2. Find the common denominator of b and 1\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1370407 is divided by 274079?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7888207 minutes to milliseconds.\nAnswer: 47329.242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -5. Suppose z + y*z - 21 = 0. Differentiate -19 - 3*i**2 + 94*i**3 + 5*i**2 - 96*i**z + 4*i**2 wrt i.\nAnswer: -6*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 5*q - 1. Let b(n) = -n**2 + 4*n + 1. Let w(m) = 5*b(m) + 4*f(m). Let d(x) = x**3 + 4*x**2 + 4*x + 3. Let r be d(-2). Calculate w(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/13 + 360\/26 + 3 + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52341, 52355, 52377, 52407, 52445?\n\"Answer: 4*g**2 + 2*g + 52335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3691\/12 + 952\/3. Let c = -4628 + 41710\/9. Calculate the common denominator of y and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 6*s - 35 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-48)\/470)\/6)\/(1158\/965))\/(7\/(-3)).\nAnswer: 2\/329","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-153)\/(-85))\/((-3)\/(-10)). Suppose 3*l - 1 + k = -2*m, -l = -5*m + 30. Suppose 0 = -m*x + 38 + 42. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 13) in base 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 396 and 8.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14405 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/13, -0.11433, 3\/49 in decreasing order.\nAnswer: 2\/13, 3\/49, -0.1, -0.11433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 2*d - 2*d)*(-143*d**3 + 2118*d - 1 - 2118*d) to the form c*d**4 + p*d**3 + m*d**2 + w + z*d and give c.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*a**3 - 37*a**3 - 2*a**2 - 8 - 1050*a + 1082*a to the form l*a**2 + n + c*a + u*a**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:54 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -8. Suppose b*o - 10 = -2*o. Suppose f = -5*u + o - 1, 4*u = -5*f + 20. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 = -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p. Suppose -3*h - 3 = -4*h. Suppose -o + h*l = 3*o + 17, -4*l = -3*o - 18. Sort o, 3, p in descending order.\nAnswer: 3, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 119, 4, -22.\nAnswer: -22, 0, 4, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3230 (base 6) to base 14.\nAnswer: 3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9486 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r + 40. Suppose 4*j = -4*b + r, -3*j - b - 3*b = -35. What is the lowest common multiple of 6 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*o + 0*s + 5 = -5*s, -59*s = -3*o - 189 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**4\/4 + g**3 - 2*g**2 + g + 2. Let o be q(-4). Does 2\/3 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -6 (c) 403 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10770585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00086956509 rounded to 6 decimal places?\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 54202045 (base 6) to base 11\nAnswer: 9a4932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 14 = -4*k, 0*k + g = -3*k + 11. Put k, 0.1, -0.4 in descending order.\nAnswer: k, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u**2 - 11*u - 12. Let o(t) = 16*t**2 - 24*t - 23. Let w(a) = 7*n(a) - 4*o(a). Give w(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1*f*f*f**(-14))**(-2))**(1\/11) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89\/3 - 29. Which is the third biggest value? (a) 4\/3 (b) -2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151768 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = t. Let b(m) be the first derivative of m**3\/3 - 7*m**2\/2 - 4*m - 1. Is b(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Let f = 6 + x. Suppose m = -4*b + 23, -m - 5*b = -f*b - 38. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s - 4 + 4)*(3 - 1 - 1)*(4 - 3 - 2)*(5*s + 0*s + 4*s + 2*s**2) as k + d*s + j*s**3 + t*s**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*u - 63 = 0, 51 = -5*w - 5*u + 176 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 divided by 63.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 2*b - 3. Let j be f(3). Suppose -803*q = -802*q + 273. Let m be (q\/(-52))\/(j\/(-8)). Solve 3*y - m*y = 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, -439, 0.04 in descending order.\nAnswer: 0.04, -105, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**7*d*d**19)\/((d**2*d)\/d**(-2\/23)) assuming d is positive.\nAnswer: d**(251\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 28*r. Let j(h) be the second derivative of -h**4\/4 - 8*h. What is a(j(d))?\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 29*a - 96. Let i be v(25). Solve i = 6*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 7, -5, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2695 (b) -0.0267 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311775.4 nanograms to milligrams.\nAnswer: 0.3117754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -9, -5, 17, 6\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 6*t**2 - 5*t - 5. Let k be p(5). Let n be 11 - ((-4)\/(-14) - 9263\/(-826)). Which is the nearest to n? (a) k (b) -3\/2 (c) 3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7517508*q**2*z - 2*q**2 + 34*q - 12421 wrt z.\nAnswer: -7517508*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 6*3857\/1026.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 - (5 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*-2*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2294514970 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 170 = 25. Suppose -5*i = -4*i - 3*n - 7, -i - 4*n = 14. What is the remainder when x is divided by (-100)\/(-7) + i\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.3 - -6. Let a = 0.8 + j. Suppose -2*s - 454 = 3*r - 443, -3*s = -3*r - 6. Sort s, -5, a, 5 in ascending order.\nAnswer: -5, s, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**7\/2520 + 7*f**6\/720 - f**5\/24 + f**4\/4 - 2*f. Let h(z) be the third derivative of u(z). Calculate h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 5 - 6*x + 5.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-50)\/45)*381. Let z = 42 - y. Let v be (2\/(-8))\/(3\/(-6)). Which is the second smallest value? (a) v (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/7, 1\/4, -30, 0, 0.2, -4127?\nAnswer: -4127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -132, -107, -82, -57, -32?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*q**2 - 30*q**2 + 64*q**2.\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpbs when four letters picked without replacement from {d: 3, s: 5, t: 2, b: 1, p: 1, g: 1}?\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2168 and 21.110634.\nAnswer: -2146.889366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000125063546 rounded to 7 dps?\nAnswer: -0.0001251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 48*x**3 + 13 - 11*x - 104*x**3 + 11*x**2 + 55*x**3. List the prime factors of g(6).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.3 - 14.9. Which is the closest to 0? (a) p (b) -2 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**5 - 3336*j**3 + 524*j**2 - 6*j - 1 wrt j?\nAnswer: 240*j**2 - 20016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l*m**4*u - 3*l*m**3 - 7*l*m**2*u - 6*l*m - 20*m**4*u wrt m?\nAnswer: 72*l*m*u - 18*l - 480*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 846840023?\nAnswer: 846840018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 43 = -53 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*j**3 + 50*j - 110*j + 61*j - 90*j**3.\nAnswer: -48*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 5*i + 3. What is the smallest common multiple of k(-5) and -8*(-150)\/36*(-3)\/(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40599994\/(-7))\/2 + 78\/(-182). Let u be 11\/(55\/j)*-8. What is u rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1844822778.\nAnswer: 2, 3, 23, 191, 69991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/780 - f**5\/13 - 19*f**4\/52 - 28*f**3\/39 - 37*f**2. Factor b(m).\nAnswer: -2*(m + 1)**2*(m + 28)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjdjdonjndjpgjod. What is prob of sequence dpnj?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 805167261 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17648777917110*c**2 + 17648777917110*c**2 - 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = -4629 + 33002. What are the prime factors of s?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -420, -635, -848, -1059?\nAnswer: -1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:12 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c - 13. Let a be t(5). Is 703\/a - (1 - -5)\/12 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -61. Calculate the greatest common divisor of 42 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26001863 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7.8 or -0.1430099?\nAnswer: -0.1430099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 8, a: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 2*c**2 - 2*c. Let g be q(-2). Suppose g*a - 3*y = 24, -a + y + 7 = -0*a. Let j(t) = 2 - 2 + a*t. Let l(z) = 2*z**2. Determine j(l(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -860\nAnswer: -7\/860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5611, -5613, -5613, -5611?\nAnswer: -5607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1653 by -3.\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**5\/4 - 63597*m**4\/4 + 337016397*m**3\/4 + 337143597*m**2\/4 - 84254100*m - 84270000 = 0. What is m?\nAnswer: -1, 1, 10600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.9 or -91020\/971?\nAnswer: -91020\/971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010100100100011101 (base 2) to base 9.\nAnswer: -4533824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.078, 1.3, -123\/10, 0.2 in decreasing order.\nAnswer: 1.3, 0.2, 0.078, -123\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -452.1075412 to the nearest integer.\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2877901, 5755811, 8633729, 11511655?\n\"Answer: 4*y**2 + 2877898*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7835907 divided by 5?\nAnswer: -7835907\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60745996 to the nearest integer?\nAnswer: 7794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 10*j**2 - 9*j - 16. Let a be m(11). What is the smallest common multiple of 16 and (208\/12)\/(a\/9)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)\/(sqrt(192)*-1))\/(1*(sqrt(77)*-1)\/sqrt(7)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 214676\/574*8\/(-68)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 9*x + 5. Let p be m(-4). Suppose j = 5 + p. Calculate the greatest common factor of 42 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**3\/5 - 1197*c**2\/5 + 34464*c - 1327360 = 0.\nAnswer: 80, 1037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-16\/3)*q**18*q**0\/(q**5*q*q) assuming q is positive.\nAnswer: q**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -57, -158, -311, -522, -797, -1142, -1563?\nAnswer: -2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a**2 - 9*a**2 + 10*a**2 + a in the form o*a + n*a**2 + k and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:52 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51461470 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*o + 3. Let s = -31 + 56. Let l = -18 + s. What is the remainder when l is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, w: 4, v: 1, p: 3, t: 1, m: 3}. Give prob of picking 1 t and 1 m.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 10065960*n - 8443629226800.\nAnswer: -3*(n + 1677660)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1312 - -3345. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.395169 litres in millilitres?\nAnswer: 4395.169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1084 + -949. Find the third derivative of -350*u**6 + 256*u**2 - 59*u - 253*u**2 + r*u**6 wrt u.\nAnswer: -25800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12 + -8)\/((-2)\/(-1)). Suppose 0 = -6*c + l*c. Solve 4*b = -c*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-11)\/(22\/(-12)). Suppose 27 = -5*g + d*g. What is 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 a = 8 + -6. Suppose 5*d = -3*r + 31, a*d + 5*r = -0*d + 20. Let i = 6 - d. Solve -5*m = -i - 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (40 + -2)*-1*(-315)\/18. Let r = y + -660. Solve -2*q - r*n = -4, 4*n - 6 = 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - c + 1. Let p(d) = 2 - 2*d**2 + 520*d**3 - 128*d**3 - 134*d**3 - 2*d - 129*d**3 - 123*d**3. Determine -8*l(a) + 4*p(a).\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 2. Let n(x) be the second derivative of x**4\/2 - x**3\/6 - 11*x**2\/2 - 17*x. Calculate -2*n(h) + 11*w(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*p**2 + 4*p**4 - 13*p**4 - 6*p**4 wrt p?\nAnswer: -360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -57. Let h be (-24)\/(-14) - (-8)\/g. Solve -o + 3 = m + m, 0 = -2*m + h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 3\/2*t**5 + 1 + 59\/2*t**2 + 2*t - 1\/12*t**4 + 0*t**3. What is the first derivative of h(q) wrt q?\nAnswer: 90*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-144)\/((-270)\/15) + -6. Let c(k) = -k - 1 + 2*k - 3*k**2 + 2*k. Let d(g) = 4*g**2 - 3*g + 1. What is h*d(s) + 3*c(s)?\nAnswer: -s**2 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (sqrt(200)*-1 - sqrt(200))**2*5)*-3.\nAnswer: -30*sqrt(2) + 12000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k**0*k*k)\/k*k**(-4)\/k*k\/k**(2\/13)*k\/k**(-3\/4) assuming k is positive.\nAnswer: k**(-21\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -21. Suppose -2*z + 11 = -1. Suppose 2*x = 4*x - z. Solve -5*p - 2*a + 17 = -0*p, -x*p - 3*a + b = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 1:02 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 9:39 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-20)\/(-4))*(-3)\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.9 - -1.9. Let p = -25 - z. Let k = 0.216 - 0.616. What is the smallest value in p, k, -1, -0.01?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 4.6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.8138 rounded to 1 decimal place?\nAnswer: 288.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -12*n**2 + 611*n - 3650. Calculate k(44).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21263 + -14287. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + 9 = 0. Suppose -8 = v - y*v. Which is bigger: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*b + 244*b - 124*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(6930\/150)*(2 - -5). Put x, -4, -1, 47, -7 in ascending order.\nAnswer: -7, x, -4, -1, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = 4*q, 0 = -3*u - 2*q - 2*q + 10. Let p be ((-33)\/12 - -3)\/(u\/8). Is p <= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 20 = 4*p. Suppose j + 3 = 0, -s - j + 2 = 1. Let o(g) = -2*g**2 - 85*g + 1053. Let w be o(10). Solve -s*b - 19 = -q, w*q - b - p = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 6, 0.04, -2\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w - w)*(-3 + 1 + 0).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.1. Let v = -2\/67 - 191\/335. Let k = -68.824 + 65.824. Put k, y, v, 5 in descending order.\nAnswer: 5, y, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00323216651 to 6 decimal places.\nAnswer: -0.003232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/5*(-30)\/12. Suppose n*z + 48 = -0*z. Calculate the common denominator of -46\/5 and (-58)\/6*12\/z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 44\/77\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**4\/16 + 13*g**3\/6 - g**2\/8 - 13*g\/2 + 8576. Suppose y(q) = 0. Calculate q.\nAnswer: -26, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.7 (b) -2\/13 (c) -24115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661730 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w. Let r be (3 + -1)*-2 + 2. Let j be p(r). Solve -y - 23 = -5*m, y + 25 = -2*y + j*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:05 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 5 = -22*p + 5*i, -3*p + 33 = -12*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 190190508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/15 + 14\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433871 is divided by 393.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -648, -1293, -1936, -2577?\nAnswer: -3216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3531 - 3490. Calculate the remainder when 78 is divided by v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191564663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5339023*u**4 + u + 1165293 wrt u?\nAnswer: 64068276*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(0 + 0 + j + 0*j + 2*j + 0*j + (4 - 6 + 4)*(j - 2 + 2) + 5*j - j - 2*j - 3*j + 5*j + j) + 3*j + j - 2*j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926758.\nAnswer: 2, 7, 53, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1377) - (sqrt(1377) + 1)*-6)**2 + -3 + sqrt(1377)*3).\nAnswer: 3915*sqrt(17) + 337530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x - 10. Suppose 0 = 5*l - 26 + 11. Let j be d(l). Does 20 divide 60\/((-2)\/(-6)*j\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155500848?\nAnswer: 2, 3, 1079867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -25. Sort v, 0, -1 in increasing order.\nAnswer: -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 6*n - 14750, -4*b + 14762 = 19*n - 21*n. Does 52 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-8 + 12) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 - -2.2. Suppose -2*y - 2 = 2*t + 2*t, -4*t + y - 5 = 0. Let i be t\/3*6\/(-16). What is the nearest to a in 2, -1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223384431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3)*q*q)\/q)**(-44)\/(q**(4\/19)\/q**(-8)) assuming q is positive.\nAnswer: q**(-2140\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - -1 - -4 - 4. Suppose 5*k = 2*d - 3, -k + 3*k - 5*d = -18. Let s be (-2 - -3) + (4 - k). Solve -m + 3*i - 1 = b, m + 4 = -s*i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -3) + (-4 - (-3 - 4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3870, 7742, 11614, 15486?\nAnswer: 19358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -606143*g*u**2 - 38*g*u + 4*g - 10*u - 25 wrt u.\nAnswer: -1212286*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (354*v**4 - 118*v**4 + 684*v**4)*(-3*v + 4*v - 3*v)*(0 - 4 + 1) + 3*v**5 - 7*v**5 + v**5.\nAnswer: 5517*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 14*m + 63. Let z be t(-5). Let f = 182 + z. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 66684687?\nAnswer: 1333693740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - b**2 - b - 2. Let u be p(-2). Differentiate -6 - 4 + 2*w**4 - 4*w**u + 8 wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2 + 6. Let n(t) = 1. Let l(u) = 7*u**2 - 10. Let r = -7 + 4. Let i be (2 - -1)\/r + 0. Let d(p) = i*l(p) + n(p). Calculate 11*c(q) - 6*d(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s**3 - 2 + 3 - 9*s**3 + 3*s**2 + 3 to x*s + n*s**2 + c + b*s**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/39)\/(w\/(w**(-3\/13)\/w)))\/((w**(-18)\/w)\/(w\/(w*w**(2\/15)))))**(-9\/5) assuming w is positive.\nAnswer: w**(-9747\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 0*p**2 - p**2 + 2 + 102*p**3 - 102*p**3 - 2*p**4 to s*p**4 + z + k*p**3 + r*p**2 + j*p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -527\/6. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:35 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.1? (a) 2\/7 (b) 7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 138 = -0*b. Is b\/10 + 224388\/45 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -b + 3*b - 42, 9 = -b + 4*u. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdfgufwrgwfggwgwgggg. Give prob of sequence df.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - (-5 + (12 - 4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/633383?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.227 + -0.527. What is the biggest value in -3, 0.059, u?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-279 - 9*a + 279)*(-4*a + 2*a - 2*a)*(-2*a**2 + 3*a**2 + a**2) as r*a**3 + p*a**4 + l*a**2 + q*a + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*p - 5*x, -5*p + 15296*x = 15301*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/8)\/(((-3)\/(-2))\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(4*sqrt(9)) + (sqrt(343) + sqrt(343) + 3 - sqrt(343)))**2.\nAnswer: 87*sqrt(7)\/2 + 6031\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 + 0 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Suppose x*z = 4*z + 2. Let a(w) = w + 1. Let j(m) = 5*m**2 - 1. Let c(n) = -2*a(n) - j(n). Determine c(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 6. Let b be f(6). Suppose 26 = n + 2*d, -5*d + b*d = -2*n + 79. What is the greatest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-7))\/(67\/(-67536)*-72). Let b = -22.91 - -23. What is the second smallest value in -5, b, 0.1, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*j - 10*j - 78 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12249 + 8098. Let c = b + 4146.0046. Let j = -5 - c. What is j rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.7 + -21.7. Let m = 273 - 283.9. Let v = m - x. Which is the biggest value? (a) -1\/2 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-3*(-6)\/(-36)). Suppose -3*a + 75 = 4*z, -72 - 13 = -5*z + 5*a. Is z >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1569323411 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.2, -0.0259474.\nAnswer: -2\/3, -0.2, -0.0259474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -603 - -286. Let k = o - -317.0195. What is k rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + 4 + 1 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Let q be (-2)\/i + (-156)\/(-15). Suppose 0 = -y + 6*y - q. Which is bigger: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1181885, 2363616, 3545345, 4727072, 5908797?\n\"Answer: -a**2 + 1181734*a + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12298373 and 8909?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**4\/12 + 4*s**3\/3 - 11*s**2\/2 - 4*s. Is d(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + 10 + 17 + 15 - 17*i + i + 14.\nAnswer: -16*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(18) + sqrt(54)\/sqrt(48))\/(sqrt(9)*-3*3).\nAnswer: -5*sqrt(2)\/36 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*p = -413, -3*a + 53 = p - 205. Differentiate -6 - 2*r**4 + 44*r**4 + a*r**4 with respect to r.\nAnswer: 508*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613444 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t**5 - 118*t**4 + 272*t**3 - 96*t**2 = 0. What is t?\nAnswer: 0, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 533202389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18471a (base 14) in base 10?\nAnswer: -857524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 7 (c) -7\/9 (d) -1 (e) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 90 = -2*r, -v - 155 = -3*r + v. Suppose -g - r = -2*g. Let d = g + -32. What is the remainder when 50 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22861*-1652\nAnswer: -37766372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/56*-1*(-14)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 37, 51, 65?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.8 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 561, 1152, 1743, 2334, 2925?\nAnswer: 3516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**3\/6 + 413*a**2 - 1. Let p(q) = -3*q + 3. Determine o(h) + p(h).\nAnswer: -3*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 32280?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202 bigger than -36\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*c + 2*m + 7, 4*c + 3*m - 18 = 0. Suppose v + v - 63 = 3*q, 0 = -c*v - 3*q + 117. Suppose -v = -3*l + 12*l. Sort l, -3, -7, 4.\nAnswer: -7, l, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -6*c**5 - 203812*c**4 + 5166178*c**3 - 30935216*c**2 - 22979944*c = 0.\nAnswer: -33994, -2\/3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -217*i**4 + 18*i**3 + 17*i**2 - 2165790?\nAnswer: -868*i**3 + 54*i**2 + 34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 35*f**2 + 17*f + 594. Let q be z(-35). Suppose -3*v = v. Let k be v + (-2)\/q + -5. Which is the nearest to -3\/7? (a) 2\/7 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 1:16 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/53, 76, -0.4, 2\/5, -3, 1\/5?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 566\/(-1415)*2\/8*2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 11) to base 7\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmqdmqp. What is prob of picking 1 m and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28, -4, 2\/45?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 96414939.\nAnswer: 964149390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 837321937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, 42, 116, 220, 354, 518, 712?\n\"Answer: 15*i**2 - i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 1. Let c(q) = 21302*q**2 + 575154*q + 191718. What is c(v) - 191718*u(v)?\nAnswer: 21302*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199776 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 93788121.\nAnswer: -2\/93788121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + n - 1184 = 2166, 0 = 3*o + 3*n - 3348. Is o a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62272 - -62271.99944826. Round h to 6 dps.\nAnswer: -0.000552","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -25825b8?\nAnswer: -25825b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3165.5 and -33.\nAnswer: -104461.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.8255*-218\nAnswer: -179.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*r, 5*r = -t + 3*t. Suppose t*v + 4*v - 12 = 0. Factor p**2 + 0*p + 5*p - v*p**2 + 3*p.\nAnswer: -2*p*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + -2*sqrt(114)*-4)\/(-1*sqrt(6)*2) + (-1*sqrt(95)*2 + sqrt(95))\/(sqrt(80) + 1*sqrt(80)).\nAnswer: -37*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1067\/2 + -551. Let o be 4*(-2 - (-334)\/170). Let m = -2709\/680 + o. Calculate the common denominator of f and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 235262*i**2 + 4*i + 28058.\nAnswer: 470524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1921, 1932, 1943, 1954, 1965?\nAnswer: 1976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*a**3 + 40 - 5 + 16916*a**3.\nAnswer: 17060*a**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*k**2 - 1 + (k**2 - 3*k**2 + 0*k**2)*(-4 - 2 + 5) + k**2 + 0*k**2 + 2*k**2 + (3*k**2 + 2*k**2 - k**2)*(0 - 8 - 5) - 261*k - 6*k**2 + 261*k.\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from njgjg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**23*x))\/(x**(-2)\/x) assuming x is positive.\nAnswer: x**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 36 = -4. Let i(q) = -q**2 - 18*q - 63. What is the smallest common multiple of o and i(-11)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 h when three letters picked without replacement from {s: 1, h: 4, q: 1, t: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2112 + 2116. Suppose -7*c + 39 + 17 = 0. Solve -b*o - c = -4*l, 0*o + 5*o - 2 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o = -110*o - 144*o - 4968 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -505, -3478, -8433, -15370, -24289, -35190?\nAnswer: -48073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18507 + -18506.7. What is the closest to -2\/5 in v, 3, 2, 21?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 140610 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/((15\/(-16))\/((-55)\/(-1936)*-22)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 10511 (c) 5 (d) -2\/11 (e) -3 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*-1*sqrt(2))**2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -840*w + 8396. What is z(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5084*j**3 - 22878*j**2 - 1271. Let z(b) = 18*b**2 + 1. Calculate -w(o) - 1271*z(o).\nAnswer: -5084*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.3, 7, -20, 4\/5 in ascending order.\nAnswer: -20, -3, -0.3, 4\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i*n*x**4 + 132*i*n*x**3 - 2*i*n*x - 2*i*n + n*x**4 - 54*x**2 wrt x?\nAnswer: -24*i*n*x + 792*i*n + 24*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.958 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 2*n - 7*n)*(6 - 4 - 1) + (4 - 4 - n)*(-5 + 4 + 2) in the form g*n + q and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/20 - 207\/4. Let z be m\/(-36) - 1\/(-3). Which is greater: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5194 and -0.1.\nAnswer: -5194.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027123 to six decimal places.\nAnswer: 0.000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1680917066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3123077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 3 = -3*a + 4*x, 0 = -4*a - 4*x + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19030 (base 10) in base 4?\nAnswer: -10221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.46? (a) -3\/4 (b) -3 (c) 0.049 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -5, -0.1, -5\/2, 5, -76?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -29)*51\/204?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -5\/1181, 2, -5, 803, 4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1276)\/(-29) + -25 + 4\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -904 (b) -1\/3 (c) 2660\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/19? (a) 3\/5 (b) -1 (c) 54 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.94 + 0.06. Let c = k - 3. Let j = -18289 + 18285. What is the nearest to 0.2 in -0.1, c, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -7)\/(-1) - 3. Let f be ((-4)\/8)\/(u\/(-10)). Suppose 349 = f*g - 61. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p + 23*p + 79 = -30*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - 2*(-1*sqrt(1053))**2) + sqrt(1053).\nAnswer: -2106 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 + 2*n - 6. Suppose 3*v = -5*h - 11, -6 + 1 = 2*h + v. Let y(a) = 2*a**2 - 2*a + 5. Calculate h*y(g) - 3*w(g).\nAnswer: g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1491\/(-28))\/(-3*(-2)\/(-16))?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 173\/30*a**6 + a**3 + 0 + 0*a**5 - 53*a + 0*a**4 - a**2. What is the second derivative of g(u) wrt u?\nAnswer: 2076*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/(-70))\/((-6)\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10101001110010 (base 2) to base 14\nAnswer: -3d62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + a**2 - a. Let c(k) = 2*k**2 - 2*k + 3. Give c(v) - 2*n(v).\nAnswer: 2*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/20 + w**4 - w**3\/6 - 42*w**2. Let s be j(-9). Solve 2*z - 4 = -4*c, 10 - s = 4*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*(-70)\/(-924))\/((-10)\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 6 + -10 + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 10 = 554*q - 556*q, 2*q - 5*d = -35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*f + 10, -5*s + 14 = -2*f + 1. Suppose -4*q + 3*q + y - s = 0, -6 = -2*y. Solve 5 = v + q*j, 5*v = 3*j - 41 + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**2\/2 + 195216*q - 1171323\/2 = 0.\nAnswer: -130147, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2425477?\nAnswer: 2425477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 = x, 3 + 5 = x - 3*u. Suppose -73 - 197 = -x*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 0*j = -3*a - 10, -3*j = -3*a - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15125265 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47509 a multiple of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*(j**(-1)\/j*j)\/j))\/j**(-1\/3))\/(j**(-1)\/j)**(5\/6))\/((j**1\/j)**(-1\/12))**(1\/22) assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkbk when four letters picked without replacement from {b: 3, k: 17}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-2)*8\/(-6). Let c = -3 - w. Let h(k) = -4*k**2 + c + 1 - 3 - 4*k**3 - 3*k. Let i(r) = 11*r**3 + 11*r**2 + 8*r - 2. Calculate -8*h(d) - 3*i(d).\nAnswer: -d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 9*f**2 - 12*f - 10. Is 5 a factor of v(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryk when three letters picked without replacement from {y: 2, k: 1, m: 13, l: 2, r: 2}.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 43271 (base 8) to base 9\nAnswer: 26746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -4335010.\nAnswer: -4335010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) -1 (c) 0.7 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 + 2*k**2 - 6*k - 1. Is o(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 + 50. Suppose 5*f - 48 = -4*x, 0*f + f - 5*x + 2 = o. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**8\/56 - z**4\/4 + 16*z**2. What is the second derivative of t(s) wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222 and 10427673.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.27 rounded to zero decimal places?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 8 = 2*j. Let n = j + 4. Which is bigger: -4\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 8*u**2 + 6*u. Is w(8) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -o + 37. Suppose -o*z = -13*z + 372. Is 25 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:09 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 319681*k + 6073936. Determine p(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Suppose -o*i = -8*i + 40. Suppose -3*x + 12 = 0, -i = y - 4*x - 1. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 0*t + 2\/5*t**3 - 3\/10*t**4 - 1\/5*t**2 - 19 + 2\/25*t**5. Factor o(b).\nAnswer: 2*b*(b - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515885781.\nAnswer: 3, 3323, 51749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4662*t**3 + 1993*t**3 - 1840*t**3.\nAnswer: -4509*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -28*c + 99 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b4221 (base 14) to base 11.\nAnswer: -604142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 674*y**3 + 123*y**2 - y.\nAnswer: 4044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/j)**(-6\/7)*(j**(-1\/9)\/j)**20 assuming j is positive.\nAnswer: j**(-1454\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, -0.7, 0.7 in decreasing order.\nAnswer: 0.7, 0.22, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1 = -w - 6, -3*h - w = -5. Let u be (-5)\/20*0 + 3 + 1. Suppose 3*o = b - h*b, u*b + 4*o = 0. Solve i = -r - 8, b = -i + 2*r + 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 463 and 11586\/25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 19*r**2 + 70*r - 150. Let v be o(15). Suppose 0*b + 7 = a - 5*b, -2*a + 3*b = -14. Suppose 2 = 4*p - 10. Sort a, v, p in decreasing order.\nAnswer: a, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2eb (base 15) to base 10\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 300043 (base 6) to base 2\nAnswer: 101101100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 9. Let b be t(5). Suppose 4*c = c - 6. Is (b\/(-3))\/(c\/30) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 2807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 6*j - 3. Let k be x(-6). Let y = 3 - 53. Is 8 a factor of y\/k + 10\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12697100 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 13*t - 3. Give m(-5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2236*l = 883*l + 2324*l - 489870 for l.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = -3*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 13 = -13. Suppose f = 2*r + u - 24, 3*r - 9 - 16 = 4*u. What is the highest common divisor of r and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/4324393259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58827376?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 10:24 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17360, -2, 3 in descending order.\nAnswer: 3, -2, -17360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8. Suppose 4*y - 12 + 4 = i. Factor -a**3 - y*a**4 - 2*a**4 + 0*a**4 + 3*a**4.\nAnswer: -a**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*p + 17, -3*b = -5*p + 22 + 13. Let w = 938 - 918. Solve 0*x - w = -p*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -14191875*u**3 - 14165775*u**2 + 26088*u - 12 = 0.\nAnswer: -1, 2\/2175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299 or 298?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2511 - 1377. Does 81 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 961229556 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69801.942 and -0.2?\nAnswer: 13960.3884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 55\/4 of a tonne?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 902 divide 4125877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b**(-2\/3))\/((b\/b**(-1\/6))\/b**(-3\/2)) assuming b is positive.\nAnswer: b**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10041664 and 896.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**5\/20 - u**4\/3 - u**3\/6 + u**2\/2 - 4*u. Determine l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -4. Let p(y) = y**3 - 2*y**2 + 4*y - 3. What is the lowest common multiple of p(2) and d?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 23777?\nAnswer: 23777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 317, -48207, -3 in ascending order.\nAnswer: -48207, -3, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-555)\/2664)\/(30\/(-24))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -123 - (-12 - (9 - (-3 + 21) - (2 - 7)))\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26230.2 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/2 or 238436?\nAnswer: 238436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**5\/2 - 9*x**2\/2 + 10*x - 9. Let y(z) be the first derivative of h(z). Find the first derivative of y(p) wrt p.\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13597663, -13597571, -13597477, -13597381, -13597283, -13597183?\n\"Answer: t**2 + 89*t - 13597753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:55 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5 - 3 + 3*g + 2*g**2 + g**2 - 2*g**2. Let w be r(2). Suppose w*p + 4*p - 18 = 0. Solve -t - 12 = p*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -1\/156*n**4 + 0 + 0*n**3 + 1\/390*n**5 + 0*n + 4*n**2. Factor g(z).\nAnswer: 2*z*(z - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 11*o**2 - o**3 + 4 + 0*o**3 + o. Let q be v(-11). What is the third derivative of k**2 + 3*k**5 + k**2 - 2*k**q + 2*k**4 wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4 + 22*n**3 + 2*n**2 - 22*n = 0. What is n?\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 233285926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-x**3 - 6*x**3 + 5*x**3).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 537*w**2 - 3562*w + 3. Let t(n) = -4*n**2. Calculate a(t(x)).\nAnswer: 8592*x**4 + 14248*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3638922?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 14 = -5*g, -3*j - 2*g = -7 - 10. Suppose j*u - 32 = 148. Suppose 0 = -3*c - 0*c + u. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 114576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75011694.\nAnswer: 2, 3, 23, 43, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 761 = 13*c. Suppose 254 = 3*u + c. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 145, 291, 437, 583?\n\"Answer: 146*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 - 98. Suppose 4*h = 3*l - 25, b*l - 4*l = 3*h + 6. Let c(g) = 10*g. Let n be c(2). Solve -l*t - t = n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18043 to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2773 + -1410. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x**3 + 6*x**2 + x - 4. Let z(g) = g**2 + g - 3. Determine -n(t) + 4*z(t).\nAnswer: -13*t**3 - 2*t**2 + 3*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 15*v + 7. Calculate s(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. What are the prime factors of p(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 0.4, -20, 43 in increasing order.\nAnswer: -20, -2\/13, 0.4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-476)*17*224\/(-2176)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 5, 5\/3, -3\/5, 3, 10134?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -18. Let i be (-18)\/(-12) + 45\/m. Solve 0 = 5*a - a + 3*s + 31, a + 4*s = -i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -24*f**2 - 14*f + 137. Let g(d) = 17*d**2 + 10*d - 92. Let v(x) = 7*g(x) + 5*y(x). Let a(c) = -19*c. Give v(a(m)).\nAnswer: -361*m**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-10)*4\/9. Let k(z) be the first derivative of 0*z**2 - 1\/4*z**4 + c*z**3 + 0*z - 2. Find the third derivative of k(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11002 + -1200101011021?\nAnswer: -1200101022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*r + 21, -12 = -4*r + 2*o - 6. Solve 4*w - 6 = u, 0 = -r*u + w - 2*w + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1 + (4 - 1 - 2)*(4 - 1 - 1) - 1 - 2 - 6)*(-4*r + 2*r + 3*r) - 4 + 4 - 32*r.\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*l*o**4 + 95786*l - 19430*o**4 wrt o.\nAnswer: 24*l*o**3 - 77720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbbbbbtbbbbbbb.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**14))\/(l**(1\/6)\/l) assuming l is positive.\nAnswer: l**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9354, -14, 3 in decreasing order.\nAnswer: 3, -3, -14, -9354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16 - 2185\/138)\/((-3)\/18). Which is the closest to -21? (a) q (b) -2\/3 (c) -4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 + 2*z**2 + 2*z - 2. Let f be t(-4). Let q(m) = 98*m**2 + 3*m + 2. Let a be q(2). Let w = f + a. List the prime factors of w.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2432726 to the nearest integer?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 47616458.4 minutes in weeks?\nAnswer: 4723.855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5040285*g**2 + 4011609?\nAnswer: -10080570*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 4 + (-9 - (2 + -6)) + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*h = -4*h - 51, 2*a = 4*h - 6. Calculate the remainder when 5 is divided by 2\/(-6)*1*a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1266*f - 41476. What is z(-32)?\nAnswer: -964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5 + (14 - 4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from baaaaaaaaaaaaaaaaaaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848370.\nAnswer: 2, 3, 5, 28279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(54) - (0 + sqrt(176))) + -1 + sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11) + -4 + sqrt(11) + sqrt(11)*-3)**2 + -2.\nAnswer: 80*sqrt(11)\/3 + 911\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.018 - 19. Let r = -0.01800151 + n. What is r rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 - a + 7. Let y(l) = -l**2 + 1. Let q(i) = -5*y(i) + z(i). Let g be (-16)\/6*(-6)\/(-4). What are the prime factors of q(g)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-208 + 123 - 641)*(-19 - 9*g**3 + 19).\nAnswer: 6534*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 1, y: 2, l: 2, o: 1, q: 2}. Give prob of sequence oyl.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2782372, -2782376, -2782380, -2782384?\n\"Answer: -4*w - 2782368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-12)\/(-16)*4. Calculate the greatest common divisor of 7 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 6*r**2 - 3*r + 6. Suppose 4 = -8*q + 7*q. Let f = 10 + q. Calculate u(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57896a (base 11) to base 3.\nAnswer: -1201201101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -224*f*n**2 - 396*f + 2*n**2 + 21*n - 575 with respect to f.\nAnswer: -224*n**2 - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*k + 5*k + 133 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2273 - 20455\/9. Which is the nearest to y? (a) -5 (b) -1\/2 (c) -1 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*n = 6 + 48 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 4*s**2 - 4*s + 3. Suppose -2*v - 115 = -7*v. Calculate the remainder when v is divided by l(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 (base 3) in base 15?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -7329*m**2\/2 + 8564*m + 5412. What is the derivative of r(x) wrt x?\nAnswer: -7329","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**8\/84 + p**5\/10 - 13*p**2. What is the third derivative of w(i) wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -7.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctcx when four letters picked without replacement from {x: 1, c: 4, t: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -18*i**3 + 7*i**2 + 8*i - 6. Let o(v) = 21*v**3 - 8*v**2 - 9*v + 6. What is 9*l(x) + 8*o(x)?\nAnswer: 6*x**3 - x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-95)\/(-684)*6)\/(15\/9 + 0)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*a - 22, 3*z = -4*a + 32 - 6. Differentiate 38 - 2*x**2 + 2*x + 11 + z with respect to x.\nAnswer: -4*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 2*a**2 + 6*a - 2. Let u(z) = z**3 + 22*z**2 - 21*z + 49. Let x be u(-23). Let j(f) = f**3 + 3*f**2 + 6*f - 3. What is x*i(c) - 2*j(c)?\nAnswer: c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(847) + 1 - sqrt(847))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 186851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 20*b = 33*b - 30. Let q(v) = -12*v**3 - v**2. Let c be q(-1). Put c, 2\/5, b, -0.1 in decreasing order.\nAnswer: c, b, 2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*sqrt(684))**2.\nAnswer: 180*sqrt(19) + 17109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48242)\/(-96) + 0)*-1. Let s = c + 1522\/3. Find the common denominator of 2 - ((-9)\/(-8) - -2) and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1218.2 - -1218.193247. What is m rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 3*p - 2. Let u be a(0). Sort u, -4, -36.\nAnswer: -36, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 + 114332*o\/9 + 114334\/9.\nAnswer: -2*(o - 57167)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1334, 2680, 4028, 5378?\n\"Answer: n**2 + 1343*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/12 + 0 + 1 - 260\/624. Put -1, 0.5, -10, -4, t in decreasing order.\nAnswer: 0.5, t, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 1, m: 2, f: 1, j: 2, d: 1}. Give prob of sequence bm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 6. Suppose -2*t + 32 = -2*r, 5*r = -5*t + 3*r + 94. Suppose -t = -26*x + 29*x. What is the units digit of y(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 13 + 1 = 2*a, a = 3*s - 14. Solve -2*j - s = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t - 3. Let w(a) = -1. Calculate l(g) - 4*w(g).\nAnswer: -6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3503, -7012, -10521?\nAnswer: -14030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4996*a + 30006. Determine h(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -18575.298283393.\nAnswer: -18566.298283393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/16 and 117\/42 + 1\/(-7).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272856373 to the nearest integer?\nAnswer: 16518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 75*x + 119. List the prime factors of z(33).\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 + 572*m - 572*m - 142*m**2 + (m**2 - 6*m**2 + 3*m**2)*(5 - 5 + 5*m) to b*m**3 + y + d*m**2 + a*m and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (2*sqrt(1377))**2 + (-6*1*sqrt(1377))**2).\nAnswer: 165231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 274654185 a multiple of 2119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 12876.955 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m + 3. Let t(i) = -4*i - 3. Determine -5*a(q) - 6*t(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*v + 5*v**2 - 6*v**2 + 251*v + 2*v**2.\nAnswer: v**2 + 198*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-4 + 4 - 3*n**2) + n**2 + 3*n**2 + 7*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -2459\/15, 6, 2\/7, 3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**2 - 10*t - 10. Let q be c(-1). Solve 0 = -12*b + q*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*z**5 + 5*z**5 - 20*z**5 - 18*z**2 - 14*z**5 wrt z?\nAnswer: -1500*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3414781 is divided by 3414776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.337442 and 152.484.\nAnswer: 151.146558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:19 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3*g = 15, 4*g + 1 = -3*n - 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = 2, -q - 4*k = 7. Solve -3 = 2*v + q, -11 = -5*j + 4*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2. Let z(w) = 2*w - 35. Determine n(z(o)).\nAnswer: 4*o**2 - 140*o + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3951?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 178, 182, 190, 202?\n\"Answer: 2*v**2 - 2*v + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b**5\/8 + 27*b**4\/8 - 141*b**3\/8 - 315*b**2\/8 - 51*b\/2 - 9\/2 = 0 for b.\nAnswer: -2, -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 47 + 11 + 12 + 20 - 4*r**2.\nAnswer: r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92 - -92. What is the units digit of (-139)\/(-4) - f - (-2)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Suppose 3*l + 30 = r*l. Suppose 0 = -2*k + l + 45. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -883*y**2 - 10*y - 2. Let x(q) = 1765*q**2 + 25*q + 5. Let c(u) = -5*k(u) - 2*x(u). Let s(z) = z. Determine s(c(w)).\nAnswer: 885*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svvfkkffkvjvsfqvfsqs. Give prob of picking 1 s and 1 q.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 8 = 2*z - 2*n, -5*z - 4*n + 2 = 0. Suppose z*m + 6 = 2*t, 4*m - 7 = t - 1. Let x(u) = -u**2 + 6*u + 2. Determine x(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 (base 11) in base 14?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10852, -62442, -148426, -268804?\n\"Answer: -17197*f**2 + f + 6344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40428290 is divided by 374336.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 10*h - 7. Let y(n) = -n**3 - 6*n**2 - 5*n + 3. Let i be y(-5). Suppose 8*u - i*u = 45. Let s be g(u). Solve -f = s*f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46234497*h**3 - 30*h**2 + 3*h - 202347.\nAnswer: 277406982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 30.2311\nAnswer: 12.09244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*d - 3, -n + 2*d + 9 = d. Let f be (0\/1)\/(3 - 2). Solve n + f = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*k = 65*k + 11845 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - h - 410. Let i be (-62)\/8 + 28\/(-112). Calculate the smallest common multiple of h\/(-8) + -4 + (-30)\/i and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0134 and -26.017?\nAnswer: -0.3486278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + 65. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 7*a - 327. Calculate the remainder when q(-23) is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 5130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101029151 divided by -4?\nAnswer: -101029151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -26. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 8978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-12)\/(-29)))\/((54\/(-5103)*21)\/(-2))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*o + 6, -3*l + 2*o = -o - 18. Let t(q) = -q**2 + 1. Let u be t(-1). Solve -4*j + 23 = -l*z, j - 2 + u = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (6 + -7) - 11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32973\/27 + 4\/(-18). Let m = b - 4801\/4. Calculate the common denominator of m and -1\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24462192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 3*q**2 - 2*q + 4. Let d be s(3). Let j = 1 - d. Let a be (-1)\/(j + -4) - -2. Let y(c) = c**3 - 4*c**2 + 3*c + 1. Give y(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 106\/3 - 36\/(-54). Suppose 2*f + 23 = 40*w - 39*w, f = 2*w - 34. Solve -31*m + u*m = -w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 6. Suppose -3*t + 1120 = 4*t. Let o = t - 160. Give a(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 32\/18)*(749 - 743). Let m = -7 - -10. Let f = m + -6. Which is the nearest to 0? (a) o (b) f (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/12 + (91\/7 - 12).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 881, 880, 879, 878, 877?\n\"Answer: -x + 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 209*r**2 - 2*r + 2*r - 208*r**2. Let p(h) = -6*h**2. Give p(k(a)).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (15 + 19 + -16 + -20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 50579*t - 46 - 50579*t.\nAnswer: 2*t**3 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - k. Let q be (1 - 2)\/((-42)\/30). Let y = q - 13\/28. Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -261, -4, 6369 in descending order.\nAnswer: 6369, -4, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Suppose 0*w - 4 = 2*w. Let k = -339 - -334. Which is the third biggest value? (a) w (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1204957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - -1)*(-1440)\/(-4608).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 271 - 248.5. What is i rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 10114030213?\nAnswer: 10114030213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (190*(-10)\/(-1045))\/(28\/(-154)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2\/7 + 191918904*q\/7 + 2302054107035076\/7.\nAnswer: 4*(q + 23989863)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 3, y: 2, d: 1}. What is prob of sequence df?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r**2 + 1771*r + 387101. Let w(z) = -6*z**2 - 885*z - 193555. Let g(h) = -5*l(h) - 11*w(h). Solve g(i) = 0.\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**4\/2 + 3*r**2\/2 - 4*r + 2. Let p(q) = -q + 4. Let g(b) = b - 3. Let i(s) = 3*g(s) + 2*p(s). Give -2*i(f) + n(f).\nAnswer: -2*f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -454217 divided by 433?\nAnswer: -1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 4*z**2 + 0*z + 0*z + 2 + 4*z - 3*z. List the prime factors of p(-3).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -849444 divided by 426.\nAnswer: -1994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - -2) + (4 - 2). Let z = 5 - 2. Let j = z - 1. Solve 6*k = 4*f + k - q, -j = 5*f - 2*k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f*f**(-1)*f*(f\/f**(-2\/9))\/f*((f**2*f)\/f)\/f*f**(-2\/33) assuming f is positive.\nAnswer: f**(412\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 12 = -24. What is the smallest common multiple of (-2 + 32\/6)*c and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*n + 138*n - 395 - 181 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 9. Let v(h) = 20*h - 25. Let o = 3 + -28. Let n(w) = -5*w + 6. Let z(y) = o*n(y) + q*v(y). What is z(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 125 = 2*m - 490, -5*m + 610 = 5*s. Let t = -109 + s. What is the remainder when 34 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -777 + 802. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v + 2. Let t be (-2 - -1)\/(9\/(-45)). Suppose t*o - 35 = -5*f, -o + 8 = v*f - 17. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-14)\/(-14))*18\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.72 - 0.16.\nAnswer: -12.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 18 - 12)*(-2*g**3 - 3*g**3 + g**3).\nAnswer: 116*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16390 and 73755?\nAnswer: 147510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.1 + 0.9. Let u = g + -6. Let w = u + 1.5. What is the third biggest value in 3\/5, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2811 or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -135501?\nAnswer: 135456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q + 10*q - q - 2*q + 6*q - 3*q + (q + 0 + 0)*(-2 - 3 + 4) - 2*q + 2*q + 2*q + 3 + 2*q - 3 to the form a + p*q and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llv when three letters picked without replacement from vullvulu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**2 - 10*r**2 + 0*r**2 - 4*r**2 in the form p*r + v + g*r**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348063 is divided by 328?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/(-931)*(-57)\/19\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 8 = -8. Do n and 63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + (5 - -3 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*q + 12 = 0, q + 0*q + 9 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 185 + 141264\/(-756) + 5\/7 + 1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1142, 2728, 4748, 7196, 10066, 13352, 17048?\n\"Answer: -l**3 + 223*l**2 + 924*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237\/8 - 119\/4. Which is the biggest value? (a) k (b) 13 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 1. Let m be s(9). Suppose 0 = -2*u - 18 - 2. Let a = m + u. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*j - 19, -5*m + 3*j - 20 = 10. Suppose 0 = -o + 5, 2*x + 8*o = 3*o + 23. Put x, -4, m in descending order.\nAnswer: x, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52*r - 50*r + 12 + 95*r)*(-6 - 1 + 1)*(7 - 2 - 1 + (0 + 3 - 1)*(-4 + 2 + 1)) as c + z*r and give z.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27509 + -15908. Let b = -4962 + t. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -14. Let v = -9 - n. Find the third derivative of -3*a**4 - 4*a**2 - a**5 + 5*a**4 - v*a**4 wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 20. Let n(x) = x**2 + 8*x - 16. Let y be n(b). Let t be y\/6*(24 - 18). Solve 4*z = -0*s + 4*s - 8, -z - 11 = -t*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + n + 2. Let t(v) = -12*v**2 + 5*v + 319. Calculate -5*s(z) + t(z).\nAnswer: -2*z**2 + 309","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 3*(sqrt(720) + -3) + sqrt(720))**2 + -4 + -3*sqrt(180).\nAnswer: -1098*sqrt(5) + 18077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2880*16)\/(16\/8*5\/90).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 354, 1, 1\/6 in ascending order.\nAnswer: 1\/6, 1, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 966 = -s + 5*s - c, -c = -5*s + 1207. Calculate the remainder when s is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5321000 rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52.441 + -0.059. Let d = 52.4749 + l. What is d rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153510254 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 68. Determine j(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-23) + (-147)\/(-161) + 2. Which is the biggest value? (a) -22 (b) 3\/4 (c) g (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 2. Let y = -4 - -4. Give p(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196 is divided by 202?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223483 + 223485. Factor 4*l**i + 3*l + 0 + 1\/4*l**4 + 7\/4*l**3.\nAnswer: l*(l + 2)**2*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/32*(-16)\/6. Let i(g) = g**2 - 5*g - 24. Let f be i(-3). Which is the closest to f? (a) 2\/7 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 7 - (-9 + 4)) + -29 + 6?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000139 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*w - 7 = o, w + 5 = 0. Let k be 0\/((o*-3)\/3). Suppose k = a + 49 - 818. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -238 + 243. Let a(x) be the first derivative of -3*x**2\/2 - 3*x + 2. Let m(k) = k**2 + 5*k + 5. Suppose 9 = 5*t - 2*t. What is d*a(s) + t*m(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + 0)*-2 + 4*sqrt(2299)*-4)**2.\nAnswer: 744876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14059 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 739940 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103971, -207941, -311911, -415881?\nAnswer: -519851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b. Let n(j) = 247*j + 3. Give o(n(a)).\nAnswer: -988*a - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*sqrt(95) - sqrt(95)))\/sqrt(5)*1 - (((sqrt(95) - (-3*sqrt(95) + sqrt(95) - sqrt(95)))\/sqrt(5))**2 - (1*sqrt(19) + sqrt(19) + 5)).\nAnswer: -299 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2 - -630 - (-2 - -5). Let l(x) = -628 + g - 2*x**2. Let r(m) = 3*m**2 - 11. Let k(b) = -2*b**2 + 6. Let y(t) = -11*k(t) - 6*r(t). Give l(y(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -3*j**5\/10 + 43*j**4\/3 + 2495*j**3\/2 + 208*j - 13. Find the second derivative of h(f) wrt f.\nAnswer: -36*f + 344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(2\/((-40)\/28)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 90*c - 2416. Suppose -330 = -4*l + 5*y, -2*y + y + 238 = 3*l. Calculate the lowest common multiple of l and n(22).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -1535253?\nAnswer: -1535253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**4 + 0*z**4 - 2*z**4)*((0 + 3 - 1)*(-1 + 5 - 2) - 3 + 3 + 1 + 6 - 5 + 0).\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*v + 202. Suppose 2*z - 49 = 2*d + 15, 3*z - v = 5*d. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**17*v*v**(-1\/6) assuming v is positive.\nAnswer: v**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1558*g + 12 = -1554*g, 0 = -3*n - 4*g + 69. Solve 46 - 8 = -n*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 184 = 4*w - 4*t, w - 51 = 2*t. Calculate the greatest common factor of 943 and w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 6*z**2 + 3*z + 2. Determine j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1767 + -1716. Solve -9*h - z = 8*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-40) + 1\/4. Let m = -41 + 43. Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 12, 2, -16\/3, -14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 74*d**3 - 201*d**2 + 6*d + 18. Let m(i) = -72*i**3 + 202*i**2 - 5*i - 15. Let f(s) = -6*m(s) - 5*y(s). What is the third derivative of f(w) wrt w?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -4. Suppose -181*w + 1267 = -0*w. Calculate the lowest common multiple of u and w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-3)\/(-12) + 798\/56. Suppose 4*w + 2*c - 630 = 0, 10*c - 5*c = 4*w - 609. Suppose -5*y + o + w = 0. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (1\/(-4) - (-90)\/40). Let p = -13 + 27. Let d be 4\/p + 130\/35. Solve 0 = -4*u + d*g + 12, 0 = -3*u - 0*g + g + m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*-3 + -3 - (1 + (sqrt(500) - (sqrt(500) + 1)))) + -2)**2.\nAnswer: 300*sqrt(5) + 4525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s - 4. Let g be x(-1). Which is the fourth biggest value? (a) 7 (b) -5 (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 22. Calculate i(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201524 - -123?\nAnswer: -201401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 776176 and 7567716.\nAnswer: 30270864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-788)\/8*(145 + 1). Let k = 201427\/14 + z. Let c = -451269\/20 - -22569. Find the common denominator of c and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82576268, 165152538, 247728808?\nAnswer: 330305078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 24 = -6. Let i(o) be the first derivative of 0*o**f - 3\/2*o**2 + 5\/3*o**6 - 7 + 0*o + 0*o**5 + 0*o**4. Find the second derivative of i(y) wrt y.\nAnswer: 200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -5 + (-6)\/(-6). Suppose -106 = 4*x + 310. Sort -5, x, b in decreasing order.\nAnswer: b, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(100)*2) + sqrt(324)\/sqrt(12)*-1)**2.\nAnswer: 2523\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 18592431?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 253583\/18 + -14096. Find the common denominator of k and -64\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9693 - -9724. Suppose -l - 4*b = 0, -2*b = 2 - 0. Solve -z + 11 = l*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -11?\nAnswer: -19\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.17, 2.5, 0.2, 1\/4, 3\/2?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -714, -724, -734?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/((z*z**0*z*z*z)\/z)*z**(-2\/9)*z)\/(z**0*z**(3\/5)))\/((z*z**5)\/((z\/z**(-2)*z*z*z)\/z*z*z))**12 assuming z is positive.\nAnswer: z**(503\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 15 = n. Suppose n*a = 2*a + 51. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/8)\/((-1)\/(-2)). Is (2 + -30)\/(2\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1258784625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 304*b**2 - 11690*b + 11388.\nAnswer: -2*(b - 78)*(b - 73)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1*(-4)\/6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/908446 and 55\/14.\nAnswer: 908446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -163*n**3\/6 - 349*n**2\/2 + 363*n - 1. Find the first derivative of m(a) wrt a.\nAnswer: -163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 10*v**2 + 2*v. Let t(a) be the second derivative of a**3\/6 - 43*a**2\/2 + 2450*a. Give k(t(c)).\nAnswer: 10*c**2 - 858*c + 18404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/12)\/((-1)\/6). Suppose -4*o - 3*u - 3 = -g, -o - u = -4. Put o, -2, 2 in decreasing order.\nAnswer: 2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 46*y - 1009. Give g(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*v**5\/9 + 12*v**4 - 206*v**3\/9 + 8*v**2 + 40*v\/9 = 0. What is v?\nAnswer: -2\/7, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 482 + 4239?\nAnswer: 46bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (4 - 0) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, e: 9, w: 2}. What is prob of sequence ne?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -198*u + 12266. What is g(62)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3629 = -2*w - 4983, -4*w + 5136 = 3*n. List the prime factors of n.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -g + 5, 20 = -5*l - 5*g. Let b = 2\/65 - -11\/65. Let d = -4988 - -4990. Sort l, b, d.\nAnswer: l, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 141*d - 1 - 11 + 20 - 8 - d**2.\nAnswer: -d**2 - 141*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5682*k + 125017. Determine n(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (5 - 3)) + (-65 - -170)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(sqrt(63)\/sqrt(7) + sqrt(9)) - sqrt(300)\/(sqrt(18)\/sqrt(3)))\/(3*sqrt(1210) + (sqrt(80)\/sqrt(8) - sqrt(10))*-5).\nAnswer: -sqrt(5)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4392104491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o + 36 + o + 39 - 70 as t + h*o and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/18 and 59\/111.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -19 - 1\/9*g**3 + 4\/3*g - 1\/4*g**4 + 2*g**2. Determine t so that k(t) = 0.\nAnswer: -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t - 3*t + 1 + 3*t. Suppose -6*q = -9*q + 3. Let p(h) = -h - 1. Suppose 235*f - 259*f = 24. Calculate f*n(d) + q*p(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 - 840 + 840)*(-11*d - 4*d + d + (5*d - d - d)*(1 - 4 + 1)).\nAnswer: 80*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 1 + sqrt(17)*-1*-4 + -5 - ((-2 + sqrt(17))*3 - (sqrt(51)\/sqrt(3) + 4)))**2.\nAnswer: 132*sqrt(17) + 2093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*k + 3 - 3.\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 906, 1653, -53 in decreasing order.\nAnswer: 1653, 906, 5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194959?\nAnswer: 19, 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4610 + -4142.4. Round f to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(208) - (-5 + sqrt(13) + 2*sqrt(13)*2))**2*2.\nAnswer: -44*sqrt(13) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 196\/77 + -5 - -2. Sort -0.08, s, 1\/3 in decreasing order.\nAnswer: 1\/3, -0.08, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -5.4. Let s = z - -0.4. What is the second biggest value in 0, s, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 4 - 0\/(-2). Suppose -2*w = -g*u + 36, -6*w + w = -3*u + 52. Let q be (14 - 13)*9\/(1\/(-1)). Is w bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**4\/28 - q**3\/7 + 4*q\/7 - 64. Factor u(n).\nAnswer: -(n - 1)*(n + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2751603 is divided by 7147.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*s = 7, -626*s = -621*s - 13 - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 550 and 450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1585430.\nAnswer: 2, 5, 7, 11, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - 2.9. Let s = -9.17 + 0.17. Let c = s + 9.1. What is the closest to c in 0, 1, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -38\/32774161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -14) + 27 + -55 + -11?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3746680.731 rounded to the nearest one thousand?\nAnswer: -3747000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*-51.\nAnswer: -8.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 1. Let g(r) be the first derivative of r**2\/2 + r - 3. Let c(s) = -8*g(s) + 5*y(s). What is the derivative of c(a) wrt a?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7167 in -5, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 40 - (-14 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/(144\/(-4))*-3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 1, g - 10 = -2*c + 5*g. Suppose 162 = -c*a - 3*n, 3*n - 15 = -6. Let x = -57 - a. Which is greater: x or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 90*l - 13. What is g(-1)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 7*h**6\/3 - 2*h**5\/5 + 25*h**2 + 91. Find the second derivative of p(v) wrt v.\nAnswer: 280*v**3 - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((45\/20)\/(120\/64))\/(1\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/(3\/(-11958)). Let l = f - 2979. Round l to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = 2*d - 69. Suppose 55 = x + 5*b, -5*x + 2*b + 591 - d = 0. Calculate the highest common divisor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-v - v + 0*v) + 3*v - v + 0*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lssusssklkstsustkyk. What is prob of picking 1 l, 2 t, and 1 y?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-12960)\/(-175) + 1370\/(-23975).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 31 - 29 - (-3 - 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - 29*z + 2 + 9*z - 45*z.\nAnswer: -57*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/5 + 2251*w**2 - 31504928*w\/5 - 923132756\/5.\nAnswer: -(w - 5642)**2*(w + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005997 to six decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-9)*((-1638)\/(-56))\/(-13)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196924 and 1092.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12548*j = -12549*j - 4*d - 39, -j - 5*d = 48 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1000000001?\nAnswer: 1000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31, -323, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*u - 0. Suppose 0 = 2*s - u*s + 340. Suppose 0 = 3*d - 8*d + 4*k + s, 215 = 5*d + 5*k. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 + 63 = 19*a - 157 - 32 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.48 + 0.38. Let s = 0 - 0.2. Let f = 3 - 4. What is the closest to f in s, o, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q + 47. Calculate the remainder when 14 is divided by m(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:32 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142766 is divided by 71322?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x. Let g(v) = 2*v - 16. Let o be g(11). Let n = 10 - o. Let u(s) = -s - 4*s + n*s. Determine u(w(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 326.7 - 345. Let o = -20 - m. Let f = o - -1.69897. Round f to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 565884?\nAnswer: 2829420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 785499313 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + -12 - (7 - 20 - 30).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 3*f + 2*f)*(3 - 2 - 2) - 3*f + 4*f - 5*f + 4*f + f - 2*f + (1 - 1 - 2*f)*(-1 - 1 + 3).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 5*d + 10, 4*d - 160 = -3*n - 147 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 9*t**5\/2 + 45620*t**4 + 231232573*t**3\/2 - 25694761*t**2 = 0.\nAnswer: -5069, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-2 + 30 - (87 - 108))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5617 = -18*c + 23329. Suppose -10*p = -c - 1286. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + x**2 + x + 5. Let y(m) = 17*m**3 + 4*m**2 + 4*m + 1. Let j be y(-1). Let l = j - -33. Calculate the remainder when l is divided by s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, 169, 1155, 3245, 6817, 12249, 19919?\nAnswer: 30205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027 to five decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -2321.\nAnswer: -232.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33517429909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.97195 to 1 decimal place.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.3 - -12. Let f(h) = h + 3. Let n be f(-2). Let z = n - -4. Which is the second smallest value? (a) z (b) -2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 5*y - 4. Let s be u(4). Suppose -n - 32 = -s*n - 2*z, -z = n + 32. Let l = 53 + n. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -68*y**2 + 3*y. Let t be v(1). Let n = -60 - t. Suppose n*d = 4*k - 455, -118 = -k - 5*d + 2*d. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 1050124?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 63, 96, 131, 168?\n\"Answer: i**2 + 28*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 33*p**3 - p**2 - 4*p + 4. Let m be x(1). Let u be (0 + (-15)\/(-12))\/(8\/m). Suppose -13*o + u*o + 656 = 0. What are the prime factors of o?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09696+-134.1866\nAnswer: -134.08964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 w, and 1 p when four letters picked without replacement from {f: 1, w: 1, a: 2, p: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:11 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {o: 5, p: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -892, -1659, -2426, -3193, -3960, -4727?\n\"Answer: -767*v - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 22*w**5 - 6492626*w**4 + 25970480*w**3\/11 - 214632*w**2 = 0.\nAnswer: 0, 2\/11, 295119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 12685.\nAnswer: 101480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -187153 != -187152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689629?\nAnswer: 689629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 + 815*m**2\/3 - 2152*m.\nAnswer: -m*(m - 807)*(m - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -4\/5 (c) -5 (d) -2 (e) 932\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6964 + 6895 - (-314)\/4?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37716729 + 829599269\/22. Let u = 7668 + y. Calculate the common denominator of u and -95\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11642?\nAnswer: 2, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2. Let d(t) = -4*t**2. Let c(b) = -d(b) - 8*l(b). Let p(h) = 3*h. Determine c(p(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*a**4 - a**3 - 426*a**2 + 346212*a wrt a?\nAnswer: 936*a**2 - 6*a - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-14\/5)))**1 assuming o is positive.\nAnswer: o**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + 38 + (48 - 58) + 23?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9505?\nAnswer: 5, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0542 or -1612?\nAnswer: -1612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:06 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**3 + 3*s**2 - 9*s - 6. Let u(m) = 14*m**3 - 10*m**2 + 26*m + 17. Let z(y) = -6*u(y) - 17*v(y). Is z(-9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*c + 52, 5*m - 98 = -c + 23. Suppose -3*z = -3*l - m, 4*z + 3*l + 36 = 9*z. Calculate the greatest common divisor of 114 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.543056 rounded to 2 dps?\nAnswer: 114.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n - 3 - 56*n + 7*n.\nAnswer: -72*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -74887241.\nAnswer: -74887245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smam when four letters picked without replacement from {s: 1, a: 4, t: 3, m: 5}?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.26931 millimeters in kilometers?\nAnswer: 0.00009526931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**2 - 7*i + 4 - 3*i - 25. Let b(r) = r**2 - 2*r - 4. Let x be 27*(1\/3 + 0). Let t be 39\/(x\/3) + -2. Determine t*b(f) - 2*n(f).\nAnswer: f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 19003*n - 54253*n + 31.\nAnswer: -35250*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*g = -6 - 2, 2*g + 7 = 5*v. Suppose 4*o - 2 - 10 = c, -3*o - 2*c = -20. What is the lowest common multiple of (-2 + v)*(-14)\/(-2) and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/562, -1\/6, -7, 261?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15430 (base 9) in base 4?\nAnswer: -2210331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17102 = -677553*l + 677050*l for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 170762970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 7*c + 0 + 0*c + 0*c - 2*c - 4*c - 3 + 3 + (0 - 2 + 1)*(-c + 4*c - 4*c).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.789 + 97.089. Round d to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 420609072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*t + 4*j, t - 3*t + 3*j - 11 = 0. Let z = 514 - 157. Suppose -2*v + z = -3*p - 53, 406 = t*v - 4*p. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**3 + 224*n - 516 wrt n?\nAnswer: 3*n**2 + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 9. Let s be p(-6). Let h be s*3\/18*2. Suppose 3*y + 13 = -0*g + 5*g, y - g + h = 0. What is the remainder when 7 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -y + 3*d + 104, 13*d + 10*d - 180 = 5*y + 45*d - 17*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 7*d + 2. Let c(q) = 2*q**2 - 6*q - 3. Give 5*c(a) + 4*i(a).\nAnswer: 2*a**2 - 2*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 6b?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 752, 1503, 2254, 3005?\nAnswer: 3756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 6. Is -7 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -5)\/(-1 - -2). Let q be 0\/(l - (2 + 0)). Suppose -2*w + q*w + 38 = -5*a, 0 = 2*w - a - 46. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 52 + 12 + 2*s**2 to f*s + k*s**2 + p and give p.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-113)\/((-1130)\/8))\/(78\/5).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 61.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1055932 (base 10) to base 15\nAnswer: -15cd07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 860, 842, 808, 752, 668?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -4. Let h be c\/84 + (-23)\/(-4). Let l be (-27)\/h*4\/(-6). Let o(v) = -2*v**2 + 5*v - 4. Calculate o(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-1\/28)*w*w\/(w\/(w**(9\/4)*w))*w*(w*w**(-15)\/w)\/(w*w**(-9)) assuming w is positive.\nAnswer: w**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 79.6. Let q = f + -11. Let x be 3*4\/18*(-24)\/(-48). Sort -4, x, q in decreasing order.\nAnswer: x, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6040 divided by -5138.\nAnswer: -3020\/2569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/5 + (-15)\/40 + (-19)\/(-8).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 - (-4 + -2) - 13)) + 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-343)\/70 - -5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/2 - 164*a**2 - 1661*a\/2 - 666 = 0. What is a?\nAnswer: -4, -1, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.889 + 0.889. What is the second biggest value in 7, -3\/4, -1, y?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 4:50 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 9, -650 in decreasing order.\nAnswer: 9, 5, -1, -650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/180*5\/((-50)\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*b + 2*b. Is 4\/b + (-81)\/(-42)*18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 8*k + 10. Let a be c(-7). Let v = 2.7 + -2.4. Sort v, -0.5, a in descending order.\nAnswer: a, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 60280231\nAnswer: -6\/60280231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - 190 + 0*o + 5*o + 184 + 4*o to z + c*o and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.9 + -14. Let u = v + -10.9. Put -0.17, -0.5, u in decreasing order.\nAnswer: -0.17, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1072, -1074, -1076, -1078, -1080, -1082?\n\"Answer: -2*y - 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.46, 3?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-2 + 1 + -1). Let g(m) = -m**3 + 8*m**2 - 6*m - 1. Is g(v) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 - (-3 + (-2 - -3)). Suppose -m = n*x - 23, 4*m - 10 = -2*x + 112. Suppose -b = -2*b + m. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4389045 + -4389044.98110333. Let z = -0.0189 + i. Round z to seven decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -6\/87510721?\nAnswer: -6\/87510721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 159309 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 383 - 378. Suppose -4*c + 17 = u*q - 3, -c = -4*q - 5. Suppose 0 = 3*f + 4*l - 13, 0*l + 1 = -f + 4*l. Solve -12 = f*p - q*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-1) - 1) + 1. Let f be ((-15)\/(-6))\/((-2500)\/40 - -62). What is the nearest to a in 2, -2\/15, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 262492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 3*q + 237, 2665*q - 2663*q + 234 = -4*f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 2*s. Let h be o(-2). Is 8*21\/h*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -0.05, 2, 10, 1, -5.7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182\/(-21) - -9) + 2\/(6\/17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5700\/1 + (10 - 7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1423 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 83 + 451*u**3 - 260 + 88.\nAnswer: 451*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(14*3))\/((-307)\/31928))\/(-2)?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192110700?\nAnswer: 2, 3, 5, 640369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 8*c = -8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*j**3 - 335*j**2 - 69*j**3 - 332*j**2 + 667*j**2.\nAnswer: 207*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/38 and -107\/18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.133 - 0.067. Which is the nearest to l? (a) -6 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -28*c**2 - 15. Let k(o) = -o**2. Let l(d) = 2*i(d) + 6*k(d). Find the first derivative of l(h) wrt h.\nAnswer: -124*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(18\/(-24)*-7*(-2)\/7)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - r + 1. Let k be s(2). Suppose b - 12 = -k*b. Solve 17 = -4*p - b*f, -3*p + 3*f + 5 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163959 divided by -54653.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2991.1725 months to years.\nAnswer: 249.264375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*l = -48, -z + 993*l - 32 = 989*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.2 (b) -976.7 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*w**3*z**3 - 2*w**3*z**2 + 42*z**2 wrt z.\nAnswer: 402*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267730?\nAnswer: 2, 5, 41, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -688, -690, -702, -730, -780?\n\"Answer: -o**3 + o**2 + 2*o - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -228*z**3 + 2337*z**2 - 33*z. Let j(b) = -9*b**3 - 2*b**2 - b. Let k(h) = -2*i(h) + 66*j(h). Find the third derivative of k(x) wrt x.\nAnswer: -828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7176021 and 0.8.\nAnswer: 5740816.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 0*y**3 - 5\/32*y**4 + 0 - 1\/240*y**5 - 33*y + 2*y**2. Factor x(j).\nAnswer: -j*(j + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4952 in 4, -1, -3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2940\/364)\/21*7\/(-7)*2\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/(-9)*(-798)\/5. What is the greatest common divisor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19\/3, 19, -5134?\nAnswer: -5134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 1. Let j(h) = 14*h**2. What is j(a(c))?\nAnswer: 56*c**2 + 56*c + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.54 - 75.34. Let s = v - -48. Let q = s - -23. What is the third biggest value in q, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by -128\nAnswer: -85\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 801460*w - 198491.\nAnswer: 801460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f = 91 - 27 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*l + q - 6*q, -20 = -4*l - 3*q. What is the first derivative of 11*y**2 - 1 - 3 - l*y**2 wrt y?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -79, -5, -241\/5 in increasing order.\nAnswer: -79, -241\/5, -5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-11)*z\/((z\/z**(-2))\/z))**(-6\/7)*(z**(-5\/7)*z**2)**(-49) assuming z is positive.\nAnswer: z**(-375\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -347 * -10.48\nAnswer: 3636.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -4, 6 in increasing order.\nAnswer: -4, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 612649 divided by 52?\nAnswer: 612649\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 32 - 2. Suppose -11 = 2*h - f. Suppose 4*c - 5*p = -14, 0 = -h*p + p + 2. Sort c, 0, 1 in decreasing order.\nAnswer: 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10*y. Suppose 3*d = -4*q + 133, 4*d + 0*d + 2*q - 174 = 0. Suppose -3*p + d = -122. Let i(s) = -27*s + p*s - 25*s. Calculate z(i(f)).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132.57 + 0.43. Let a = -133 + k. What is the nearest to a in -4, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(192)*3 + 0 - (sqrt(432)*3 + 5)*3)**2.\nAnswer: 5400*sqrt(3) + 97425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/10*-3*-2 - 8802\/(-7335). Factor -10\/7*f + 2\/7*f**2 + 10\/7*f**t - 2\/7*f**4 + 0.\nAnswer: -2*f*(f - 5)*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2342\/7 + -334. What is the fourth biggest value in 0, -7, r, -0.1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -123, -1, -64\/3, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 437 - 419 = -928 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g - 1136 - 754. Let a = g + 803. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q - 11*q + 5*q + 16*q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52390611 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/9*(-114)\/(-304) and 46\/319?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -36*(-7)\/(-14)*2\/(-3). Solve -v = 4*u - 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2908, 2916, 2924, 2932, 2940?\n\"Answer: 8*l + 2900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 84*v - 923. Let q be s(-71). Suppose -5*p + 97 = 27. Let u be 54\/(-105) - 4\/p. Sort q, 1, u in decreasing order.\nAnswer: 1, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162*(62 + 7106\/(-114))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a tonne in kilograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10087 - -10033 - (-4 + 1 + -1).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from uuuuuuuuuxuxuux.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-6)\/(-14) + (-1 - 40395\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 49. Let z be 90\/(-35)*(-42)\/9. Let b be (1 + (-4)\/12)*z. What is the nearest to 0 in b, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {e: 1, a: 3, s: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/6, -0.1, 4\/3, 0.04 in ascending order.\nAnswer: -2, -0.1, 0.04, 1\/6, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 - 27. Let d = l + -19. Solve -4*v = -11 - d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 187199792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(3920\/21)*(-2)\/3.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*h - 374 = 337 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -5*n - 4*c, 3*n - 10 = -3*c + 53. Let p be (115\/n)\/(1\/20). Suppose p - 25 = 5*z. Solve -3*i = i - 3*y + z, 3*i - 2*y + 13 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.058 + -0.542. Let a = 38.8134 + w. Round a to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1985*o - 3*o**3 - 186 + 187 - 1715*o to u*o**2 + x*o**3 + f*o + i and give f.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from crrgotbct.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 13*v + 33. List the prime factors of b(12).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7626 and 744.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -52\/193 (c) -1 (d) -36 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-15)\/(c*c**(3\/4))*c**(-24)*c**16\/c*c)**(-24) assuming c is positive.\nAnswer: c**594","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 4*i**2 - 15 + 4*i**2 + i**2 + 2*i. Let d be u(-7). Is d less than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 3. Let q be b(5). Let p be (1 - 0)\/((-1)\/3). Let g(z) = -z**3 + 3*z**2 + z + 1. Let a be g(-1). Sort q, a, p in descending order.\nAnswer: a, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 32\/(-6))*((-2025)\/54)\/5?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100494483 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 13. Let c be x(10). Let a(z) = -3*z + z + c*z. Let l(m) = -229 - 6*m + 229 - 2*m. Give l(a(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or -842\/11?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15477, -121203, -408117, -966813, -1887885?\n\"Answer: -15099*p**3 - 33*p - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -5.6 (c) 0.2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0354 + -0.0646. Let s = 11\/12 - 1\/4. Put -6, s, k in descending order.\nAnswer: s, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**5\/30 - d**3\/6 - 4*d**2 - 5. Let u be p(-1). Which is the closest to 5? (a) 4 (b) 2\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/25 and (-4)\/2 - (1 - (-5)\/(-25))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1408 and 48.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1272 and -97\/97626.\nAnswer: 390504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - -182. Suppose -17*p + 21*p + 190 = 3*f, -p = 4*f - l. What is the remainder when f is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**5\/8 + 1595*z**4\/8 - 950923*z**3\/8 + 250014377*z**2\/8 - 2986073309*z - 22475102846 = 0.\nAnswer: -7, 389, 412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 5 (b) 0 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2074 and 4.\nAnswer: 8296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 420 = -2*r. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 2, -4, -1 in increasing order.\nAnswer: -4, -1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) - (sqrt(76) - (sqrt(76) + sqrt(76) + 1 + 4)**2) - sqrt(76).\nAnswer: 38*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 4*c**2 - 3 + 9*c**2 + 7790*c - 3900*c - 3876*c to b + q*c + w*c**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13319 - -29350. Is a a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 5. Let p(s) = -s + 6. Let g be (1 - (-9 - -4))\/(2\/6). Let r = g + -15. Suppose -5*d - 18 = -r. Give d*p(x) + 4*h(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05662321 rounded to five dps?\nAnswer: 0.05662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 346*b**3 - 2*b**4 - 1636*b**3 + 16710 - 16709 to the form z*b + d*b**2 + u + o*b**3 + y*b**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 77426.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 13*j**4\/12 + 2*j**3\/3 - j**2 - 11*j. Is c(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 204*n + 5639. What are the prime factors of u(0)?\nAnswer: 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + x - 510. Let j = 11 + -11. Let n be g(j). Round n to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1\/17 (b) 2\/29 (c) -1\/3 (d) 1\/115 (e) -3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 - 3*q + 2. Suppose -19*v = -20*v + 1. Calculate s(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -763877*j**2 - 10142. Let k(h) = -452*h**2 - 6. Determine 5071*k(f) - 3*y(f).\nAnswer: -461*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/24? (a) 2 (b) 0.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -211*u**7\/42 + u**5\/60 - 226*u**3\/3 - 226*u**2 + 2*u - 4. Find the third derivative of b(f) wrt f.\nAnswer: -25320*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 10:26 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 - 178*q - 1351. Give z(42).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82.8 + -35.3. Let j = -6.2 + 132.2. Let x = j + s. Round x to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Let r be 12 - 3 - s\/(-2). Let f be 22 + 3 + 1 + (2 - 3). What is the greatest common factor of f and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 21*g**2 + 14*g**2 + 2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/((-37)\/(-259))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, r: 4}. What is prob of sequence ee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -5*i + 5*f - 6, -5*f - 24 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 16 = 4. Let j = 47 + -85. Let p = 38.5 + j. Sort p, 5, i in decreasing order.\nAnswer: 5, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.78 - -0.22. Let a = 0.5 + 0.1. Let c = -1.1 + a. What is the nearest to x in -2, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -4*n**2 + n - 12. Give c(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/34)\/((-313)\/(-26605))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.40426, -1\/4, -1, 0, 1 in descending order.\nAnswer: 1, 0, -1\/4, -0.40426, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 177634*y + 38901852. Give l(-219).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 506901917046.8\nAnswer: 506901917050.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339920 a multiple of 982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 785517.5 centimeters in meters?\nAnswer: 7855.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 768541808 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1386 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1597, -1624, -1669, -1732, -1813, -1912?\n\"Answer: -9*f**2 - 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*u + 6, -5*u - 13 = q + 4. Solve 6*i - 2*i + b - q = 0, -3*b = -2*i - 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 14*n**2 - 12*n - 9. Let q be u(13). Put -1, 1, 33, q in decreasing order.\nAnswer: 33, q, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1799*t**2 - 899*t**2 + 45 + 4*t - 899*t**2)*(3*t**2 - 2*t**2 + t**2) in the form y*t**4 + x*t**3 + u + k*t**2 + n*t and give k.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5610 is divided by 1380.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*2 + 2 - (sqrt(18) + 0))**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4\/3 - 2503*p**3\/6 - 23843*p**2\/6 + 55826*p\/3 + 16016 = 0.\nAnswer: -616, -13, -3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 39 - 35 + 173*s + 95.\nAnswer: 173*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -41882\/3 at most -13962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1170 - 1173. Let s be (-14 - -20 - 7)*1*i. Suppose -5 = -4*n + 3. Solve -n*z + s = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. Let o(i) = -i - 2. Let x(j) = -j - 5. Let w(c) = 3*o(c) - 2*x(c). Calculate w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**3 - 2*w. Let l(n) = n**3 + n. What is -3*k(i) - 6*l(i)?\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -18, -2\/15, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2084*-0.4.\nAnswer: 1.28336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8358.2 and 338.\nAnswer: -2825071.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14354 - -26729. List the prime factors of d.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w + 12. Suppose 0 = -4*i + 4*g + 4, -3*i + 8 = i - 2*g. List the prime factors of b(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 250, 573, 1026, 1609?\nAnswer: 2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*3*-3*-2*4)\/((sqrt(33)\/sqrt(3)*4 - (sqrt(396) - (sqrt(396) - -2*sqrt(396) - sqrt(396))))*5).\nAnswer: 36*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Let u(w) = -2*w - v*w - 4*w + 5*w. Let o(n) = 2*n**2. Determine o(u(s)).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**4 + 65057*k**2 + k + 512.\nAnswer: 12*k**2 + 130114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/3717 and -40\/4779.\nAnswer: 33453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 1656?\nAnswer: -1655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*r**2 - 4)*(-3*r**2 + 7*r**2 - 3*r**2) + 962*r**4 + 12*r**4 - 149*r**4 to the form b*r**2 + x*r**3 + p + s*r + v*r**4 and give v.\nAnswer: 827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2204*z - 8281*z + 2204*z + 3880*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -13. Which is the nearest to -1\/4? (a) v (b) -6\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifths of a decade?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 837?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19841 is divided by 405.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f + 177. Let j be u(13). What is the greatest common factor of 121 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 40 = -5*f, 4*y - 40 = -23*f + 21*f. Let n(j) = j**3 - 12*j**2 + 13*j + 7. Calculate n(f).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 56. Suppose 2*l - v + 0 = 0. Let i(w) = 5*w**2 + w + 7*w**2 - 11*w**2 - l - 3*w. Give i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 8*i = 150. Suppose -i = -5*h - 7*p + 3*p, 0 = 3*h + 5*p - 30. Suppose h*g - 2 = 9*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3150\/(-1125))\/((-1)\/(-2)*2\/5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13304423 - 43?\nAnswer: -13304510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*h = 27*h + 246. Suppose 365 = -7*v + 2*v. Let g be v\/(-6) - 3\/18. Calculate the highest common factor of g and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41709, -41710, -41711, -41712, -41713?\nAnswer: -41714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3 - 2*v**2 + v + 2. Let a be t(-1). Suppose -5*x = 377 + 113. Find the common denominator of (-5)\/a*x\/(-10) and -23\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4074*x + 261. What are the prime factors of w(-3)?\nAnswer: 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 643 divide 9215476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.284 - 1.716. Which is the closest to 2\/7? (a) 2\/7 (b) 1\/3 (c) p (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 355, 367, 393, 439, 511?\n\"Answer: b**3 + b**2 + 2*b + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = l - 2*m, l - 3*m - 93794 = -94044 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 11*q**3 + q. Let s be i(-1). Let o be -11*2449\/(-2607)*((-12)\/(-5))\/(-2). Which is bigger: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 plus 19.767345896?\nAnswer: 18.567345896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/189)\/(23\/138). Let l = 0.7 - 0.3. Let j = l - 0.5. Sort j, t, -2\/19 in ascending order.\nAnswer: t, -2\/19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 4380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 26, -2\/25, 29, -1.3, -0.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -152722.2142 rounded to the nearest one hundred?\nAnswer: -152700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -689*c + 693*c + 4*o - 60, -2*c - 5*o + 72 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 37*r**5\/30 + 13*r**4\/24 - 7*r**3\/6 - 8*r**2 - 5*r. Is q(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/10)\/((-2)\/(4\/2)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.012 + 0.0074. Round t to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96874.79ng to tonnes.\nAnswer: 0.00000000009687479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/4)\/(((-465)\/(-2790))\/(4 - 0\/4))\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 77 - 15. Calculate the highest common factor of 31 and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1054 and 408.\nAnswer: 12648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2783929 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 13*m + 14. Let c be a(-12). Suppose -5*f + 5*o - 55 = 0, -c*o + 15 - 77 = 5*f. Put -5, -1, f in decreasing order.\nAnswer: -1, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/24)\/(2\/(-8)). Differentiate -6*g**v + 4 - 10*g + 10*g with respect to g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.3, 5, -20 in descending order.\nAnswer: 5, 0.3, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 216345161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6340614250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 201 and (9 - 2)\/(3\/((-30)\/(-7))).\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -3516?\nAnswer: 3521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 491704009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*u + 18037 = 128*u - 7117 - 3596 for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + z = 228, -3*z - 171 = 3*m + z. Let l be 564\/57 + (-6)\/m. Solve -3*x + 1 = l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 - -0.38. Let t = 3 - 2.6. Let g = 9.8 + -10. Which is the nearest to g? (a) t (b) m (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3100031110 (base 4) to base 15.\nAnswer: -11ca4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26019 is divided by 56.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3767150, 3767087, 3767024, 3766961, 3766898, 3766835?\nAnswer: 3766772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/17 in 45, -0.2, -1\/3, 0, -0.3, 3\/17?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -414, -396, -344, -240, -66, 196, 564?\n\"Answer: 3*k**3 - k**2 - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - 3) + 0\/(-2). Let o(w) = -2*w**2 + 8*w - 2. Let q(s) be the third derivative of -s**5\/15 + 17*s**4\/24 - 2*s**3\/3 - 3*s**2. Give h*q(l) - 13*o(l).\nAnswer: 2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 1. Which is the closest to -2? (a) 1 (b) i (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 58 = 5*q + 12, 9140*r - 9144*r + 44 = 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011110000 - 10?\nAnswer: -10011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**3 + 18*g**2 + 139174*g - 49374094 wrt g?\nAnswer: -6*g**2 + 36*g + 139174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 32, -4, 522244.\nAnswer: -5, -4, -1, 32, 522244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 3*v - 104761*v**3 + 0*v.\nAnswer: -104761*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/((-7)\/(-5))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -49*l + 2. Is z(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(612) + 1 - (sqrt(119) - 3*(sqrt(119) + 1*sqrt(119) + sqrt(119)))\/sqrt(7))**2.\nAnswer: 28*sqrt(17) + 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 139*h + 1. Let y(v) = -v. What is y(n(z))?\nAnswer: -139*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(539) - sqrt(11)) + -3 - (5 + (sqrt(11) - (sqrt(11) - sqrt(176))))))**2.\nAnswer: -800*sqrt(11) + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/3)\/(154\/(-3465)). Let h = 33 - 49. Which is bigger: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 14*i + 4. Let y be c(-3). Let n = 108 + y. Calculate the remainder when n is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 7\/4, 0.09, 2\/9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2 = 2*i, 0*j = -4*i + j - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24851*p**3 - 24842*p**3 + 124222*p**3 - 24846*p**3 - 24850*p**3 - 24851*p**3.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.34*4\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1534254 - 13?\nAnswer: 1534241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 1:40 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 33*p**3 + 120 - 109 - 58.\nAnswer: 33*p**3 - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, p: 1, e: 2, y: 1}. Give prob of sequence ne.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 702*d**2. Let w(r) = -9*r. Calculate w(g(a)).\nAnswer: -6318*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005188670424 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-8)\/(-1736)*-7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7 = 1. Suppose 53 = v*r - 51. Calculate the greatest common factor of 39 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - y**2 - 3*y + 1. Let h(w) = w - 10. Let f be h(9). Let t = 5 + f. Is b(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/5 and -14\/1123935.\nAnswer: 1123935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 (base 9) in base 7?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {h: 1, n: 9, x: 7, r: 1}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k - 5*i - 15, -k + 3*i = -9. Suppose -4*h - 2*l + 3*l + 157 = k, 0 = -5*l + 15. Suppose -3*x = x - h. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = -34*p + 276 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**3\/3 - 636*z. Let c(a) = -687*a**2. What is c(v(r))?\nAnswer: -2748*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 11:07 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24*(-8)\/(-10)*((-92)\/48)\/23\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -24, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-16)\/(s**(-2\/17)\/s)*s\/s**(-4\/9)*s**(2\/61) assuming s is positive.\nAnswer: s**(-125110\/9333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(sqrt(294)\/(sqrt(14)\/sqrt(2)) + sqrt(42))\/(sqrt(726)*1 + sqrt(726)).\nAnswer: -20*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -446\/7 > -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420, -1453, -2770, -4041, -4936, -5125?\nAnswer: -4278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 6.7940702.\nAnswer: 5.7940702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -553 + 18247\/33. Let p = -2 - -5. Suppose -p*g - g = 0. Which is greater: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -54, -41, -28, -21, -26, -49, -96?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 36 = -2*u. Suppose 5*k - u = -9. Suppose 2*d = 2*b - 1040, -6*b + k*d + 2601 = -b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131 - 123. What is the remainder when 60 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = 34*w - 70*w. Let p(m) = m**2 - 1. Let b be p(-2). Let c be -3 + w\/b + 11. Solve 0 - c = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10ec06 (base 16) to base 14.\nAnswer: -20c222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -23. Suppose -f*s = 5 - 20. Suppose -s*y + 68 = 5*t, -5 = -y - 4. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1900 and 132.\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.3518 and -8273.35706?\nAnswer: 8270.00526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*j**3*r**2 - 4*j**3*r + 6*j**3 - 16*r**5 + 3*r**4 + 185 wrt r?\nAnswer: -18*j**3 - 320*r**3 + 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (3 + -2)\/(-1). Let g be (2\/o - 2)*-12. Suppose -2*q - 2*d + g = -8, 5*q - 3*d - 10 = 0. Solve 0*m = q*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 132 = -7. Let c = a + 15. Let i be (24\/(-20))\/((-3)\/c). Sort i, -2, 2 in ascending order.\nAnswer: i, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505968677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 770, 3063, 6884, 12233, 19110, 27515, 37448?\n\"Answer: 764*j**2 + j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n**2 + 186681*n + 7530796?\nAnswer: -4*n + 186681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (275\/(-22) - -11) + (-677)\/2. Let h = -345 - s. Let i(m) = -14*m - 5. Let r(g) = -15*g - 6. Calculate h*r(c) + 6*i(c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1020)\/(-270))\/(4\/12)*(-12)\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504034?\nAnswer: 2, 252017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:20 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 18*b + 22. What is the units digit of h(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 + 0.38. Let w = 0.2200013 - x. Round w to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 + 132455*q**2\/4 + 264922*q + 529852.\nAnswer: -(q - 132463)*(q + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/5)\/2 - (-87360)\/(-400). Let s = 219 + h. Solve 2*t = 5*o - 30, -2*t = 5*o - s*o - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 - -82. Calculate the remainder when 68 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184685 is divided by 238.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 - -48. Let b = 45 + n. Sort -0.3, 1, b in descending order.\nAnswer: b, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x = -21*x - 30470. Suppose -8*r + 3*r + x = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/12*-1*4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 3:12 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6355 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/1252 + -2499\/6260. Let x = 0.8 + -1.1. Let i = -24.3 - x. Put -0.5, i, t in decreasing order.\nAnswer: t, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**10\/30240 + p**9\/12096 - p**8\/4032 - p**7\/1008 + p**5\/4 - 22*p**2. Let l(j) be the third derivative of h(j). Factor l(w).\nAnswer: 5*w*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 2)*(6*q**2 - 11*q**2 - q**2) - 5*q + q + 3*q - 3*q**2 to the form l*q + i + r*q**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6498 is divided by 409?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 5770871980 to the nearest 100000.\nAnswer: 5770900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83 + 76*z**4 - 114*z**5 + 71*z**4 - 74*z**5 + 2*z - 147*z**4 wrt z?\nAnswer: -3760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4 - 1 = 0. Let o(h) = 7*h - 2. Let q(l) = 2*l + 5. Let c(s) = 2*s + 1. Let f(x) = -3*c(x) + q(x). Let g(k) = -5*f(k) - 4*o(k). What is g(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-756)*-4*(-4333)\/(-619)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*y = -i - 416*y + 827*y - 28, 3*i - 2*y = 9 + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2436465761?\nAnswer: 409, 5957129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9 + 149.9. Let y = 148 - x. Let r = -47\/130 - 1\/26. Which is the closest to 2? (a) y (b) 2\/11 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*8\/80*-14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 1 h when three letters picked without replacement from {r: 3, i: 2, m: 4, l: 1, o: 3, h: 2}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(20)\/(sqrt(50)\/sqrt(5)) - (4 + -1*sqrt(2))) + 0 - (6*(sqrt(20)*2*1)\/sqrt(10) + 3)**2.\nAnswer: -301 - 71*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 0*s + 5 = -3*s, 4*g - 19 = s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-19)*h\/((h\/(h\/h**(-2\/9)))\/h*h*h)*(h\/(h\/(h\/h**(7\/5)))*h)**(5\/7) assuming h is positive.\nAnswer: h**(-1156\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.5 and 13621.\nAnswer: 47673.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -38 + 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11\/5 (b) 58 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -36610 < -29789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3284 and 2198.9.\nAnswer: -7221187.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.2 - 29.2. Which is the closest to -1.2? (a) 0.1 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3881 + 531703\/137. Are d and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 880*z - 874*z. Suppose 12*o + 2*d + 1544 = 14*o, 5*d = z*o - 3090. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/25 - 44\/(-385)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -480.7860623 to one decimal place.\nAnswer: -480.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -5, -9.4, 3, -1, -48\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 52*j + 53*j, 0 = -5*y - 3*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 8*p**2 - 14*p - 32. Let f be q(-9). Suppose f*r = 91 + 65. Solve 5*w - r = 3*d, -w + 6*w - 15 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -10972.1?\nAnswer: 10972.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.077 - 30.923. Let t = r - -31.4. Which is the second smallest value? (a) -4 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + 41. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26747051 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 78\/25?\nAnswer: 78\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2727.2 - 0.5?\nAnswer: 2726.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 2*b**2 - 3*b - 1. Let h be -1*(4 + 4\/(-2)). Give r(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484 + 574 = -10*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t - 3198 = -3317 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1431*198.\nAnswer: 28.3338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8ec89 + -2?\nAnswer: -8ec8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-1 + 0)*246\/(-78). What is the third smallest value in -4, -2, 1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(612)*-5)\/(sqrt(12) + (sqrt(1200) + -2*sqrt(1200) - sqrt(1200))))\/((2*sqrt(75) - sqrt(3)) + 3*sqrt(12)).\nAnswer: sqrt(17)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42.11*72712.\nAnswer: 3061902.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-30)\/(20\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -247, 0.2.\nAnswer: -247, -4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 4*b + 5. Let l(r) = r + 3. Let w be l(-7). Let n = -451 - -431. Let u be (-30)\/n + 30\/w. Determine c(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - -1735?\nAnswer: 1750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*15*11\/(-55) - -19.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a + 1. Let w be o(1). Let l be (-26)\/24 + 2\/6. Is l at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a decade in months?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605116\/5 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.027 + 10.827. What is the fourth smallest value in -2\/5, q, -1\/8, 2, -1\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1251133270\/29 + -39460746038107\/914660. Let s = o - -7\/1577. Find the common denominator of 19\/44 and s.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 698 + 33 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**17*q\/q**(-4\/7))**(-48))**(-2\/9) assuming q is positive.\nAnswer: q**(4160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 2674*i**3 - 13412*i**2 - 10736*i.\nAnswer: 2*i*(i - 1342)*(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 1, -3, -0.2, -0.5 in increasing order.\nAnswer: -59, -3, -0.5, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802*j - 1571 = 7555 + 1300 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 3 (c) 0.04 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181995 is divided by 526?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020 - 1220022112120000?\nAnswer: -1220022112110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12*4*(-3)\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10201 - 26295. Let g = 49604 - n. What is g rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 61 + 7 + (-12)\/6. Calculate the highest common divisor of k and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 342498?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3900 = -276*u + 142*u + 154*u. Calculate the greatest common divisor of u and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44954 + 10*p**4 - p**2 - 7*p**4 + 4*p + 45000 to the form q*p**4 + s*p**3 + a*p + h*p**2 + z and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 5, a: 1, h: 8, y: 3}. What is prob of picking 1 y and 1 i?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - (-62)\/(-30))\/((-1)\/(-22)) and -59\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2257*x - 1145*x - 131920 - 7562 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + y - 13 = 0, 0*v + 1 = 2*v + y. Let w = 0.3063 - 0.1063. What is the second biggest value in -0.3, 1, w, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 2494271\nAnswer: -17\/2494271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 4*d. Let w(o) = o**3 + o**2 - 4*o + 3. Let z be -4 + (40\/70)\/(4\/42). Let k be w(z). Solve -k = p - d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.379120977 to four dps.\nAnswer: 0.3791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2147*m + 179*m**2 - 2147*m.\nAnswer: 179*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7*585948\nAnswer: -4101636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160973, -160976, -160979, -160982, -160985?\nAnswer: -160988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1847 - 1866. What is the fourth biggest value in w, -0.1, -2, 0.4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1416*v + 1407*v = -18567. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3291.8795 minus 9?\nAnswer: -3300.8795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 2. Let z be f(-2). Let a(y) be the second derivative of z*y**2 - 1\/6*y**5 + 0 - 1\/63*y**7 + 11\/135*y**6 - 2\/27*y**3 - y + 1\/6*y**4. Factor a(b).\nAnswer: -2*b*(b - 1)**3*(3*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = c + k, -2*c + 5*k + 3 - 12 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1949534 is divided by 1949532.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - o**2 + 3*o + 4. Let x be l(0). Solve -2*i - 2*y = -x*i + 2, y = 5*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y - 7*y = 0. Suppose y = -k + 5*d - 4*d - 3, -k - 4*d - 3 = 0. Is 1 + -2 - -1971 - k*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4857.5 - -4858. Let w be (-161)\/(-3) + (-6)\/(-3). Let g = -55 + w. Sort 0.8, g, m in descending order.\nAnswer: 0.8, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/266 + 607\/3990. What is the closest to 0 in 23, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 110. Let b be d(33). Which is smaller: 76 or b?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -346*l + 2524. What is i(9)?\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -14 + 7 - -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18178 or -18218?\nAnswer: -18178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 5, 7, -511, -3, 37 in descending order.\nAnswer: 37, 7, 5, 3, -3, -5, -511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23443, 46887, 70329, 93769, 117207?\n\"Answer: -q**2 + 23447*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-2)))**33*((l\/l**(-2\/17))\/l*l)\/((l*l*l\/l**4)\/l) assuming l is positive.\nAnswer: l**(-1069\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 80 - (-81 + (137 - 85))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b**5 + 1\/40*b**6 + 2\/3*b**3 + 0*b**4 + 0 + b**2 + 0*b. What is the first derivative of w(u) wrt u?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 less than 15660?\nAnswer: 15573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t**2 - 548*t + 35. Give o(42).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1048, -1345, -1706, -2167, -2764, -3533, -4510?\n\"Answer: -6*x**3 + 4*x**2 - 267*x - 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:31 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4232 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-440)\/(-30))\/11)\/(6\/(-63)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 16.513 and 34 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43561378 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220021 - -1010?\nAnswer: -212011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511016?\nAnswer: 2, 11, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-10))**(-12)*(p**(-23)*p)**0 assuming p is positive.\nAnswer: p**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 1344 = -5*n. What is the highest common factor of 231 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17196*2.711\nAnswer: 46618.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236a (base 12) in base 5?\nAnswer: 2423232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17450622 (base 8) in base 9?\nAnswer: 7614314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v + 64. Let c be d(10). Solve 0*m = c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmzm when four letters picked without replacement from {m: 4, z: 3, g: 5}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/610 and 127\/220.\nAnswer: 13420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -52 + 72 + 18\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + 1. Let q be (-28 - (-2 + -21)) + 3 + (-68)\/(-3). Which is smaller: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 7*m**2 - 6*m + 3. Determine h(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, -12, -2\/13 in descending order.\nAnswer: 0, -2\/13, -0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 8*s**2 + 7*s - 5. Let a be u(7). Let v(z) = 94*z + z**2 - 32*z - 28*z - 35*z - 7. Is v(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 49*t**2 - 157*t - 97. Calculate z(-52).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -38. Differentiate 0 - 11 - g - 1 - 18*d**2 with respect to d.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 1, a: 2, d: 4}. What is prob of picking 1 p and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usw when three letters picked without replacement from wutkskjw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41304.83 litres?\nAnswer: 41304830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*b + 62*b - 122*b + 0*b**2 - 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 50*f - 55*f. Let a be ((-4)\/f)\/((-4)\/12). Solve -a = -2*w + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**5\/5 - 17*j**4\/3 + 92*j**3 - j + 1807. Factor t(w).\nAnswer: -4*w*(w - 6)*(w + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) -1 (c) 0.5 (d) 8\/3 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/14740 and 103\/38808.\nAnswer: 13000680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*n + 6. Let w be (-720)\/52 - n\/(-13). Let r = w + 69. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -14*u - 7. Let v = 90 - 91. Let h be r(v). Solve h*i = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*g = 12, -2*m - 2*g - 14 = -7*g. Let k be 6 - m*(1 + -2). Solve -2*s + 12 = 5*f - k*f, 5*s = -3*f + 31 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8922996 millilitres in litres?\nAnswer: 0.0008922996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (-2 + sqrt(325))) + -1 + -3)**2*-5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5 - w**3 + 4 - 9*w**2 + 9*w**2. Let d(a) = -5*a + 24. Let s be d(-6). Let l = s + -54. Give t(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70234 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by 14897.\nAnswer: 75\/14897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 16 - 3 - (-72 + 70)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -116*w**2 - 1619*w + 1517. Let b(x) = 97*x**2 + 1617*x - 1517. Let l(i) = 6*b(i) + 5*o(i). Differentiate l(j) with respect to j.\nAnswer: 4*j + 1607","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289.26816 months to millennia.\nAnswer: 0.02410568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 13815.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1008) + -1 + -5*(sqrt(1008) + 0) - ((sqrt(1008)*-1*1)**2 + -1 + sqrt(1008) + 2).\nAnswer: -1014 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1595 divided by -177.\nAnswer: 1595\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8033 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -604, -1285, -2102, -3115, -4384, -5969, -7930, -10327?\nAnswer: -13220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -54.93, -2, 15021, 2\/3 in decreasing order.\nAnswer: 15021, 2\/3, -2, -54.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d + 61*d = -144. Let f = 1 - d. List the prime factors of f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/16 + 4*(-888580)\/(-640)?\nAnswer: 2, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 619 - 602 - (12 - (-6 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131 - -160.6. Round x to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(2\/5))**(4\/5))**(2\/9) assuming q is positive.\nAnswer: q**(64\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**2 + 13*j - 12. Let v be w(-6). What is the greatest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + sqrt(11) + 1 + -5 - (-5*(1 + sqrt(176)) + sqrt(176) + (6*(sqrt(176) + 0 + sqrt(176))**2 - sqrt(176)) + sqrt(176)).\nAnswer: -4220 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145*t**5 + 85*t**4 + 45527*t wrt t?\nAnswer: -2900*t**3 + 1020*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.1 (b) 543959 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j + 2*j**3 - 2*j - 4*j + 2*j**2.\nAnswer: 2*j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:14 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 2. Let a be l(-8). Let s = a - -6. Let i = -12 + 17. Solve -4*v = -4*d + s, v + 3*v = i*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 8*u + 3. Let m = 15 + -8. Determine p(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2204, -0.07015?\nAnswer: -0.07015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-15))\/(2\/18). Suppose -13 = -5*i - u. Suppose -5*q = 4*d - 58, -17 = -i*q + q + d. What is 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 b(d) = d**2 - 2*d - 2. Let g be b(0). Let h = 36 - g. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**3 + 32*b**2 - 3*b + 30. What is c(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - 1*sqrt(114)*6)\/(sqrt(24)*5) + ((sqrt(76)*3)**2 - sqrt(475)*-1).\nAnswer: 9*sqrt(19)\/2 + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyt when three letters picked without replacement from yytyty.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1562 = x + 392, -3*z = 4*x - 4680. Calculate the lowest common multiple of x and 60.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/1177 and -41\/121?\nAnswer: 12947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**2 + 5*v - 1 - 3*v - 40*v**3 - 7*v**2. Is m(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 65*p**3 + 2*p - 2. Let u be f(3). Let r = 17651\/10 - u. Find the common denominator of r and -19\/127.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6363885?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4\/9, -5, 2\/9 in ascending order.\nAnswer: -5, -4\/9, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*sqrt(57)\/sqrt(3) + 1*(2 + sqrt(19)) + (sqrt(1900) - (sqrt(1900) - -1*sqrt(1900)*2)) + -3))**2.\nAnswer: 1080*sqrt(19) + 153936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4567 is divided by 192.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f - 456 = 0. Suppose 4*l + 3*n + 19 - 219 = 0, 0 = 2*l - 2*n - f. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = -3*d - 113, -10*g - 25 = -8*g + 3*d for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 17*i = 35. Suppose -5*b = i*u - 2755, 2*u - 2206 = -4*b - 0*u. List the prime factors of b.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 14 = -3*b. Suppose i = -i + b. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 14*a - 1. Let i(v) = -v**2 - 9*v + 4. What is the remainder when i(-5) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 46. Suppose 2*v + v = 2*f - 19, 0 = -5*v + 3*f - 33. Let x = v - w. Solve x*q = 4 + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 1. Let q be v(1). Let i = 3 - -117. Suppose 2*x + x - i = q. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -5 + 176\/44. Let y = 6 - 4. Which is the closest to -4? (a) 1\/2 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1\/4, -0.51, 4, 2\/85, 8, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -28856\nAnswer: -865.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3837 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/350*56\/12.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7394441180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.56 take away -51305?\nAnswer: 51194.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2 - 109*f + 11. Give p(19).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.555 plus -8?\nAnswer: -7.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 - -11 - 2) + 242 + -245?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*u - 18*u + 7*u - 2*u**2 as t*u**2 + w + s*u and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - l - 6 = 0, -3*x + 2*l = -69 + 85. What is the nearest to -0.1 in x, 4\/21, 0.5, 2\/9?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + b + (-1 + 5 - 2)*(-2 + 2*b + 2) + (-2*b + 4*b - 9*b)*(0 + 1 + 2) + 6 + b - 2 - 3.\nAnswer: -15*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*k + 58*k + 1820. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16171 - -2.342\nAnswer: -16168.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117\/26 - 4)\/(2\/(-76))*-1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -866, -1727, -2588, -3449, -4310?\nAnswer: -5171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyymmyyyyy.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l, 0 = 2*z + 2*l - 18. Calculate the least common multiple of z and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**9*m**(-1\/26) assuming m is positive.\nAnswer: m**(233\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 2*k**2 + 7*k - 13. Determine s(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/5)\/y*y**3)\/((y\/(y**(1\/5)\/y))\/((y\/(y*y**(-4)))\/y*y)))\/((y*y**(-2))**19)**(2\/63) assuming y is positive.\nAnswer: y**(353\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/(-1)*(-1 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(2*n + 0*n - n)*(-416*n + 684*n + 601*n) to i*n**2 + p + u*n and give i.\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.068 + 37.068. Let c = h - 22. Let u = c - 15.0000007. What is u rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 183 or -0.642?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 59\/(7\/(-21) + 10\/12). Let m = 11 + g. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1200) + (sqrt(1200) - sqrt(1200)*-2)) + (sqrt(1200)*2*2 - sqrt(1200)))\/((2*sqrt(384)*-3 - sqrt(384)) + sqrt(384) + 3*sqrt(384)*-1).\nAnswer: -25*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 17. Let r(j) = j**3 + 7*j**2 - 11*j + 4. Let m be r(-8). Solve 0 = -5*t - m + y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18492, -18845, -19196, -19545, -19892, -20237, -20580?\nAnswer: -20921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7*n + 18. Let f(t) = 2*t**3 - 2*t**2 - 8*t + 3. Let y = -30 - -33. Let h be f(y). What is the highest common divisor of n and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Let m = -4 - -4.4. Let u = 0.04 - -2.96. Which is the closest to q? (a) 1\/4 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3988 = 209*y + 3536. Suppose -m = m - 84. Let u = m + y. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143051 (base 6) in base 14?\nAnswer: -17d8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7328992 divided by -41642.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 7 = 2*u, 5*u - 3*u - 10 = 0. Sort 2, m, -7.\nAnswer: -7, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246725?\nAnswer: 5, 71, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94982.51 micrograms to nanograms.\nAnswer: 94982510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46, 82, 118, 154, 190, 226?\n\"Answer: 36*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34 + -2*(-1)\/1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 - q**2 - 31*q**2.\nAnswer: -37*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -394235334213?\nAnswer: 394235334208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -12, -12, -24, -54, -108, -192?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 - -416. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.33545 * -875.\nAnswer: 1168.51875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -767.1 - -767.6. Let h = 31.97 - 36. Let s = h + 0.03. Which is the nearest to -1? (a) s (b) 0.05 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*m**3 + 216*m**3 - 695*m**3.\nAnswer: -375*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 23*j = -49*j + 24*j + 56, 5*j - 8260 = -285*b for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -p, -4*a + 50*p - 45*p = -1897. Calculate the remainder when 513 is divided by a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mumrrruuxuo. Give prob of picking 1 r and 1 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*z**3 - 6\/5 - 2*z**2 - 14\/5*z.\nAnswer: -2*(z + 1)**2*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 10*t + 11*t - 134, -t + 89 = 2*q. Solve -5*w = 4*w + q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.014 - -0.136. Which is the nearest to -1? (a) n (b) -2\/15 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/7))\/n**3*n\/((n*(n**0*n)\/n*n)\/n)*n**(4\/3) assuming n is positive.\nAnswer: n**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -13 + 0*m - 1\/2*m**2. Let v(g) be the second derivative of g**3\/2 - g. What is v(c(p))?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 0. Let d be (-2)\/5*c*10. Let q(n) = n**3 - 3*n**2 - 3*n - 3. Let h(y) = 2*y**3 - 4*y**2 - 4*y - 4. What is d*q(j) + 3*h(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5802*p**2 - 1 + 4 - 3.\nAnswer: 5802*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 12*k - 18. Solve -10 = k*s - 2*o, 3*o - 25 = -s - 2*o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Let n(f) = 4*f + 8. Let c be n(-2). Sort h, c, 4 in ascending order.\nAnswer: c, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 3609\/297 - (11 - 1) and -65\/294.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138250?\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -151815 or -152080?\nAnswer: -151815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -29*q + 31. Suppose -27 = -5*a - 52. Is 9 a factor of b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.57 - 0.43. Sort -1\/6, -1, z, 4\/5 in descending order.\nAnswer: 4\/5, -1\/6, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -222 + 2000\/9. What is the nearest to 0 in -1\/15, h, 3?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -97*m + 4. Let a(o) = 293*o - 11. Give 3*a(t) + 8*q(t).\nAnswer: 103*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115511 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 + (3106 - 3116) + (1 - (-35 - -2))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, r: 4, v: 7}. Give prob of sequence reer.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-15))\/((-2)\/60). Let m = -7 - -35. Let x = -10 + m. Calculate the greatest common divisor of n and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-7 + 8 + (-8 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -2*l**3\/15 - l**2 - 8*l\/5 + 2. Factor b(p).\nAnswer: -2*(p + 1)*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/20)\/(-3))\/((-1)\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(630)\/sqrt(160))\/(sqrt(72)\/(sqrt(32)\/sqrt(4)) + 5*sqrt(45)\/sqrt(5)))**2.\nAnswer: sqrt(7)\/12 + 583\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1340332, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130362 is divided by 459.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45, -88, -139, -180, -193, -160, -63?\n\"Answer: 3*m**3 - 22*m**2 + 2*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16497.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 0*w + 0*w**2 - 17\/3*w**3 + 54. Let s(i) = 4*i**2 - 4*i**2 - 3*i**2. Give g(s(q)).\nAnswer: -153*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z - 150. Let n(l) = 5*l**2. What is n(t(k))?\nAnswer: 45*k**2 - 4500*k + 112500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven fifths of a decade?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.27 - 1.73. Sort -0.3, s, 5\/4, 1.\nAnswer: s, -0.3, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 24. Let t = m + 24. Suppose 0*f = f - t. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 1. Let i be n(6). Let w = -7 + i. Suppose 11*g - 78 = -23. Put -1, g, w in descending order.\nAnswer: g, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1621 by 6.\nAnswer: 1621\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*v = 907 - 906, -4 = 3*p - 2*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**4\/4 - 10*m**3\/3 - 11*m**2\/2 + 22*m - 13. Is d(-9) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -2\/5 (c) -38\/10365\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 4127 + 1291. Let o = -597 + s. Solve 0 = 2*p + 2*h - 4, -o*p - 4 - 6 = h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 10*o**3 + 3*o**2 - 3*o + 68. Let g be r(0). What is the highest common factor of 96 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, z: 5}. Give prob of picking 1 z and 3 h.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -116315 take away -41250.1782?\nAnswer: -75064.8218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 2. Let x(l) = -l. Let n = 18 + -19. Calculate n*x(c) - o(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s*(s**(1\/2)*s)\/s)\/s*s)\/s*s*s)**(-4\/13)*s\/(s*(s*s**2*s)\/s)*s**(-11\/2))**(-29) assuming s is positive.\nAnswer: s**(7221\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 571966*g**3 - 1045609 with respect to g.\nAnswer: 1715898*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*99\/(-88).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32503 smaller than 32530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -1, 96 in descending order.\nAnswer: 96, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 3*n**2 + 5*n + 14. What is w(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68923?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b84d - -98?\nAnswer: -b795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3))**(-9)*s\/s**2*s*s*s*s*s\/s**(-3))\/(s*s**(-2\/5)*s**(-1\/3)*s*(s\/(s\/(s\/(s**(-3)\/s)*s)))\/(s\/s**(2\/23))) assuming s is positive.\nAnswer: s**(1258\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 140 and 0.2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1128 + 3630 = -26*f. Let p = f + 235. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 3085.\nAnswer: -58\/3085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/10 and 125\/11766?\nAnswer: 58830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159311.\nAnswer: 159311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.7029 - 6.7. Round h to four decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, t: 7, q: 3}. Give prob of picking 3 w.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1102, -2\/9, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-38 - (14 - 38)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpteirtppeptppttpte. What is prob of picking 1 e and 1 i?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(7) - sqrt(567)*3) + -5)**2*-4.\nAnswer: -18932 - 208*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 34 + 83 = 3*n, 2*w = 4*n - 148. Find the first derivative of 6*g**4 - 532*g**2 - 4*g**4 + 534*g**2 + n - 4 wrt g.\nAnswer: 8*g**3 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 39*c = 0. Suppose -5*u + u = c. Is u less than -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*d**3 - 122*d**3 - 70*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 843*b**2 - 144 - 766*b**2 + 144 - 11*b.\nAnswer: 77*b**2 - 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2072921 and 2047?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706958.\nAnswer: 2, 3, 11, 37, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/16? (a) -18\/491 (b) 3\/8 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 13?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -177*v + 2040. Determine p(12).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 365 + -353. What is the remainder when 249 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2568, 5144, 7720, 10296, 12872?\nAnswer: 15448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 693297 and 93060?\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95*r + 171*r - 5281*r**2 - 76*r + (-r - 2*r + 7*r)*(-1 + r + 1).\nAnswer: -5277*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540510 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 195*d - 990.\nAnswer: -5*(d - 33)*(d - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272))**2*6 + sqrt(425) + -2 - (sqrt(85)\/(sqrt(605) - (-2*sqrt(605) + sqrt(605))))**2.\nAnswer: 5*sqrt(17) + 788903\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9cb - -52d?\nAnswer: -49d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 6*d - 39. Let h be b(-8). Suppose 0 = h*o - 39*o - 664. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fftf when four letters picked without replacement from {f: 9, t: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2 + 4*q + 8 + 0*q + 2*q**2. Let f be d(-7). Calculate the common denominator of 85\/8 and 1 - (0 + f\/24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3010 - -5?\nAnswer: -3008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 66893.607 microseconds in days?\nAnswer: 0.0000007742315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*x - 16 + 491*x - 247*x.\nAnswer: -6*x - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17*r + 4. Let s be n(1). Which is the third biggest value? (a) s (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 5*r + 30, 43*o - 39*o - 3*r = -18 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 3*z**2 - z + 1. Let i be y(3). Sort i, -4, 4 in ascending order.\nAnswer: -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*b - 1296 = -306. Let f be (-340)\/(-6) + (-1)\/(-3). Suppose f = 21*g - b*g. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.065 - 69.935. Let c = u + 65.1. Round c to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 1440.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 432 + -433. What is the third smallest value in x, 9, -0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41104.148 rounded to the nearest 10?\nAnswer: -41100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u**2 - u + 2. Let f be i(-2). Suppose -w = -4*b - 9, -w - 2*b + 1 + 2 = f. Let g = -9 + 9. Sort g, w, 3 in decreasing order.\nAnswer: w, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-104)\/12 - (-1)\/(-3). Let a = s + 13. Find the second derivative of -3*d**4 + d**a - 215*d + 221*d wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-55)\/(-187)*2\/(-135). Which is smaller: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72287099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 7) + 5 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*w + w. Let j(p) = p**2 + 5*p + 6. Let c be j(w). Suppose -2*s + 0 = f - 1, 0 = 2*s + 2*f + 4. Solve -c = -5*a + s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 6*r - 78. What is r rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**33*(l**(-10)\/l)\/l*l*l**8\/l assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0185467 to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 4\/3*a**3 + 0 - 20*a**2 - 21*a. What is the tens digit of r(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + -1 + 1 - 1. Sort b, -5, 1\/4 in descending order.\nAnswer: 1\/4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-3)\/45*1090\/(-2180)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367750 is divided by 191?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2186 - -1.7186. What is the nearest to 2\/5 in -1, f, -4\/9, 44\/5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 749*b + 34164. Calculate q(-47).\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 2. Let x be d(0). Let n be -2*1\/2 - x. Let b = 68\/23 + -112\/69. What is the second biggest value in n, b, 6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 81 - 136 = -3*j, 0 = -12*a - 3*j - 105 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(-2 + 28\/12). Suppose 15 = -5*n, 2 - 16 = -2*l - 4*n. Suppose 2*o + 2 = w, 3*o + 1 = l. Solve -4*h = m + 2*m - w, -4*h = -m - u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10743263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1262, 2526, 3790, 5054?\nAnswer: 6318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 417493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -50552, -50558, -50568, -50582, -50600, -50622, -50648?\n\"Answer: -2*b**2 - 50550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196245163 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97530 by -6.\nAnswer: -16255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (134\/(-4020))\/(1\/14)*-3*-2?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112618?\nAnswer: 2, 11, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**3 - d**3 + 30*d + 252*d**2 - 28*d + 39 - 256*d**2 as u*d + q + i*d**3 + v*d**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 1:54 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 783 divided by 27\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -266, -12, -34405 in increasing order.\nAnswer: -34405, -266, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5) + (-35 - -25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 58 = 4*j, -j + 3*x = -11 - 7. Let l(v) = -v**3 - 13*v**2 - 60*v - 89. Let w be l(-6). Solve 5*h - o = -j, 5*o - w = 2*h + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 243*s + 239. Let o be d(-1). Let m be 1\/((-2)\/(4 + 2)). Let l(f) = -f**2 - 2*f - 3. Let z be l(m). Which is bigger: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*u - 0*u - 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 1. Let h(u) be the third derivative of -u**5\/10 + u**4\/8 - u**3\/2 - 22*u**2. Let o(q) = h(q) + 6*x(q). Solve o(z) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 139 = -2*o + 1309, -3*f = -2*o - 1456. Suppose f = 6*l - 38. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 882 = -5*x. Does 42 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 2. Let m(j) = -4*j + 3. Let g(w) = -3*a(w) + m(w). Let f(b) = 1. Give -11*f(l) - 4*g(l).\nAnswer: 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2) + -9 + (8 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.223 + 5.017. What is j rounded to one dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(15\/111))\/((2125\/(-25))\/(-425)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16371 - 0.16371061314. Round n to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 + -135. Suppose -585 + 2620 = s*k. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-17 + 53\/3)\/((0 + 2)\/254022)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -1283*j + 1299*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -43. Let p = o + 78. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124134332 (base 5) in base 9?\nAnswer: 1136516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t - 0. Let a be (-4)\/(-16)*t*-4. Sort -5, -1, a in ascending order.\nAnswer: -5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 4 (c) -2 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 111. Let d be 27\/s - (-53)\/7. Solve 3*l - 2 = 5*x - d, -3*l = 2*x - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12040242 to the nearest integer?\nAnswer: 3470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m + 45. Let n(u) = 2*u - 15. What is 4*f(v) + 11*n(v)?\nAnswer: 2*v + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = h - 2*h - 5, 5 = -h - w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (98\/12)\/(-7) + 31\/62. What is the nearest to 29 in -1\/5, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0212 and 102.76084366?\nAnswer: 102.73964366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8132859, -8132898, -8132937, -8132976, -8133015?\n\"Answer: -39*x - 8132820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 less than or equal to -917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 51025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 19*q - 31. Let r(u) = -u + 1. Let j(v) = -2*r(v) - 2*s(v). Let i be j(18). What is the greatest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 2. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + -0.25. Let l = -0.01 + w. Sort l, 4, -1\/3 in decreasing order.\nAnswer: 4, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 - -97. Do -3 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4188093205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2 - 0. Suppose 4*r = -h*x + 6192, 0*r - 10 = 5*r. Suppose -35 = -5*w - 5*g + x, 0 = w + 4*g - 618. Round w to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12178829 to the nearest integer?\nAnswer: 3490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2)**(1\/39)*(z**(1\/2))**(1\/26) assuming z is positive.\nAnswer: z**(11\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 6:35 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1697\/6 (b) 0 (c) -21 (d) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0*s**(-1\/5)\/(s**(-5)\/s)*(s**(-14\/13))**(-2\/27) assuming s is positive.\nAnswer: s**(10319\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2. Let n(c) = 1866*c**2 + 1. Give n(w(t)).\nAnswer: 16794*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2978 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 944, 942, 930, 902, 852, 774, 662, 510?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -578*c**3 - 3*c**2 - 12*c - 15. Let p be o(5). Round p to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31131413 (base 5) to base 15.\nAnswer: 50958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 1958\/132)\/10\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 587712 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736)*-2 + -3))**2 - (sqrt(2736) - -5*sqrt(2736)*-2)) + 0 + (-2*sqrt(2736) - sqrt(2736))*-3.\nAnswer: 432*sqrt(19) + 24633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 8*u + 8. Suppose p - 21 = -2*p. Let o be x(p). What are the prime factors of (-2 + -10)*o\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -9*h - 25. Is 4 a factor of (2 - 1 - h) + (5 - -20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 10*s = -113. Let v = s + -41. Is 36 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8134, -8135, -8136, -8137?\n\"Answer: -l - 8133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 6 - (-28 + 9 - -11 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3681036?\nAnswer: 2, 3, 102251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-3 - -19 - (55 + -23)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-20)*(-60)\/(-5)*2475\/(-135)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -3*b**5\/20 + 4*b**3 - b**2 + 3. Let q(m) be the third derivative of g(m). Give q(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 3298 = -3*d + 1072. Suppose -2*g + 10 = 0, 0*h - 4*g - 454 = -3*h. Is h equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(48)\/sqrt(4)) - (sqrt(77)*-2 + sqrt(77) + sqrt(77) + sqrt(77))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58232710473.8 plus 23.7?\nAnswer: 58232710497.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001110111011 (base 2) in base 12?\nAnswer: 77b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**3\/3 + 568*n**2\/3 + 2990*n\/3 - 28900\/3 = 0.\nAnswer: -10, 5, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 17*b - 38. Let f be -4 - ((-35)\/10 + 4)*-2. Let a be r(f). Calculate the highest common divisor of a and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + 4 - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2051017?\nAnswer: 59, 34763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 - 0) - (14 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 + -238. Let w = -32 + 701\/22. What is the common denominator of w and r\/343 + (-1978)\/252?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211810 divided by 1795?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3*u = 0, 2*u = 8*c - 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 134181636?\nAnswer: 134181635.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6604 and 0.04818.\nAnswer: 318.18072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011111101 + -101?\nAnswer: 11011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 3 = 2*q - 3*j, -2*j = q. Let l(y) = y**3 - y. Let a be l(-1). Let r = a + 3. Solve 0 = -k - 1, -k + q*k - r = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(2*g**3 + 0 + 0) + 19*g**2 - 614*g**3 + 25*g**2 - 43*g**2 + (1 - 2*g**2 - 1)*(-g + 0 + 0).\nAnswer: -614*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6436 + -3352. Calculate the greatest common factor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)*v*v*v**(2\/35) assuming v is positive.\nAnswer: v**(-103\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 12*i - 10. Let s(m) = m + 2. Let f(d) = q(d) + s(d). Let a be f(1). Put a, -0.2, -3 in descending order.\nAnswer: a, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.1*307.\nAnswer: 4635.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 0. Suppose -5*o = -20 - v. What is the nearest to 0.2 in 1, o, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, t: 7}. What is prob of sequence tttx?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -406 and -3885.\nAnswer: -4291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 e when three letters picked without replacement from {e: 6, c: 7, a: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 256412542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 7*v**2 + 7*v - 8. Give n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000100011101 + 1?\nAnswer: 101000100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 689553 and 9477.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-6)*(3 + 9\/(-3)). Suppose i - 50 = -c*i. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2729713?\nAnswer: 7, 47, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b002b (base 14) to base 13\nAnswer: 11a48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 747 and 49468?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2075 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*x = 458, 5*x + 0*x = -3*h + 737. Let j = h - 254. Which is greater: j or -16?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.01, -0.5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 420*k**3 + 3*k**2 - k - 1. Is j(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 1063 = -47*l + 343 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-34 + 0 - (1366 - 1324)) + -11\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 + -188. Let s be -1 + 1\/(-1)*1. Let m = s - f. Calculate the remainder when 23 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 659170064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-141)\/45 - (-9)\/((-585)\/(-52))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 2*w + 240. Let o be b(0). Let x be (o\/45)\/((-4)\/(-6)). Solve 4*d = 2*d - x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -x + 37. Suppose -22 = -u - 2*u + 2*w, -4*w - 4 = -2*u. What is the least common multiple of x and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - (234\/(-27))\/(4\/6). Let t(s) = 4*s**3 + 5*s**2 - 5*s + 5. Let d(u) = 5*u**3 + 6*u**2 - 6*u + 6. Determine o*d(w) - 6*t(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 6*u**2 + 36*u - 220. Calculate s(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1414889643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1\/3, 0.2, 3, 108, 61 in ascending order.\nAnswer: -1, 0, 0.2, 1\/3, 3, 61, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006881944294 rounded to seven dps?\nAnswer: -0.0068819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-9) + (27272\/1260 - 21) - (-3)\/(-15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 19*m + 18 = 0. Suppose -2*h = 5*s - 58, -h + 5*s = 3*h - 146. Calculate the remainder when h is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303255704 bigger than 303255702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3670*n - 296. Does 306 divide m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23\/4*i**2 + 7*i + 2*i**3 - 3 - 1\/4*i**4.\nAnswer: -(i - 3)*(i - 2)**2*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 + 43. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a - 33*a = 4150. Let t be (a\/(-8))\/(5\/20). Suppose t = 10*j - 305. What is the remainder when j is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + 1 + 10 + (2117 - 2160)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 11:37 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*f = 54*f - 712 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*n**3 - 9*n**3 - 5*n**3)*((2*n + 2*n - 6*n)*(-4*n + 0*n + 5*n) + 3*n**2 + 12*n**2 + 4*n**2) - n**2 - 2*n**5 + n**2.\nAnswer: 15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.315 + 0.08. Let y = b + -0.23. Round y to 2 decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -285846, -285844, -285840, -285834, -285826?\n\"Answer: y**2 - y - 285846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*s - 2*s - 3*w, 2*s = 4*w + 2. Solve 8 = -2*r, -3*a + a - s*r = 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1758.94988079 + 1760.04988. Let y = -1.1 + r. What is y rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 14 - 6 = -g, -3*g - 20 = 5*s. Suppose -3*u + 3*p + 12 = -g*p, 16 = 4*u - p. What is the second derivative of 0*t**u + t**4 + t + t wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*x = 43417 - 71302 for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 7:21 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 3\/5, 6892239?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z**2 + z - 1. Let u = -2 + 7. Suppose -p = 5*d - 26, -3*d + 2*d = -u*p. Determine c(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.57 - -0.07. Let u = -0.14 + -0.06. Which is smaller: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/21 of a week?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.6232 rounded to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 = -y, -4*s - 12 = -3*y + s. Let h be (-20)\/(-90) - y\/18. Factor 2\/5*j + h + 4\/5*j**2.\nAnswer: 2*j*(2*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.86436 + -0.76436. Let p = 8\/41 + -286\/205. What is the nearest to i in 2\/11, -8, p, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) - (2 - 2). Suppose -4*w + 6*d = d + 11, -d + 11 = -3*w. Let z be (6\/(-9)*6)\/18. Sort z, n, w.\nAnswer: w, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129b46 (base 14) in base 7?\nAnswer: -5311316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 1. Let h be t(-5). Suppose -9*g - h + 43 = 0. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1121\/6516 - 6\/181. Let u = d - -1\/9. Is u < -1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-4) + 11\/44. Let i be 1755\/15 + (-1)\/(-1). Suppose 11*g - 102 = i. Solve -j - n*j = g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13362\/1014 + -7 + -6 and -14\/11?\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (1 + 0)) + (-4 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 280 = -9*m. Let a = 156 - m. Solve 0*p = -4*p - a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 931 + -930.7. Which is the closest to 5\/17? (a) 5 (b) 1 (c) 2\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 2, l: 1, g: 2, d: 4, a: 3}. Give prob of sequence ldg.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11509 + 33*s + 3*s + 11500)*(2*s**3 - 4*s**3 + 3*s**3) as m*s + u + q*s**2 + x*s**4 + g*s**3 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1474 - -19160\/13. Which is the second biggest value? (a) i (b) -5 (c) -170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1478431810 and 394.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42675.02 - -42675. Which is smaller: h or -2\/1321?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*v + 16 = -55*v. Suppose 0 = -76*g + 6441 + 1159. Calculate the highest common factor of g and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-437360)\/(-222656)*24\/11?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-15)\/(-50)*590\/649*-22\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6295 (base 11) to base 3.\nAnswer: -102102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 + -49.2. Let d = f + 62. Sort d, 2, -0.2.\nAnswer: -0.2, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-20) - (-2)\/(-5). Find the third derivative of w - w + 6*w**4 - 4*w**4 + h*w**2 wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 + 10?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 2*p**3 + 2*p**3 + (1 - p**2 - 1)*(-p**2 - p**2 + p**2) + 53*p**4 + 52*p**4 - 36*p**4 + (-3*p - 2*p**4 + 3*p)*(1 - 1 - 1).\nAnswer: 73*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 17*s**5\/60 + 98*s**2. Let w(i) = 4*i. Calculate x(w(d)).\nAnswer: 272*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196906*v**2 - 5 + 11 + 196891*v**2.\nAnswer: -15*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -19*i**2. Let q(k) = 9*k**2 - 5. Determine q(u(j)).\nAnswer: 3249*j**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199*b**2 + 30*b - 469*b**5 + 471*b**5 - 302*b - 1082*b**2 wrt b?\nAnswer: 40*b**3 - 2562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/5*(-2)\/(-4))\/((-139)\/556).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 2 + 84*t**2 + 165*t**2 + 192*t**2 - 3. Is m(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 18*f = -39 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 65*g - 2)*(-3 + g + 3) as p + u*g + r*g**2 and give r.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 39. Let u = -21.4 + -0.6. Let n = -22.2 - u. Which is bigger: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) + 4*sqrt(78)*1))\/(1*sqrt(864) + sqrt(864)) + (5 + (sqrt(117) - sqrt(13))**2 - sqrt(39)\/(sqrt(3) + sqrt(48))) + 1.\nAnswer: -11*sqrt(13)\/30 + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 80 + (-1 - 1). Let x be 4\/14 + (-22)\/o. Which is bigger: 2\/49 or x?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 25*u - 201. Let r be v(8). Calculate the common denominator of 103\/10 and 0 - 2 - r\/(126\/119).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 124*y**2 - 2. Let q(v) = -41541*v**2 + 671. Give 671*p(l) + 2*q(l).\nAnswer: 122*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87944251?\nAnswer: 87944251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.8, -0.4, 0.1, 1\/7, 380?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448408 to the power of 1\/2, to the nearest integer?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21144 + -63499\/3. Find the common denominator of q and (12\/10 + -1)*8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 + 19. Let i be p(-5). Let s = -51 - i. Suppose 0 = -s*q + 4*h + 111, -32 = -5*q - 4*h + 47. What is the remainder when 33 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45577850 a multiple of 731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*k + 16. Suppose 4*m + m - 20 = k. Suppose -2*h + p + 15 = -4*p, 0 = 2*h - m*p - 12. Solve -2*i + 5*i - 15 = h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 6 - 7)\/((-75)\/25). Suppose d = 4*r - 25, -3*d - 40 = -3*r - 2*r. Sort -5, z, r in descending order.\nAnswer: r, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 84 = v - 19, -18*v + 41*v + 4*m - 34 = 22*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 666, 1292, 1918?\n\"Answer: 626*i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2. Let p(v) = v**3 - 6*v**2 - 7*v + 8. Let d be p(7). Let n(w) = w. Let t(b) = 6*b. Let z(k) = d*n(k) - t(k). Calculate g(z(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -320954?\nAnswer: -3\/160477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1006155 and 2871.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -35?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:03 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 8262?\nAnswer: -8265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 15*l + 19*l**2 + 4*l**3 + 33*l + 32.\nAnswer: 4*(l + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-6 - 1) - (-10 - (-5 + -17 - -16))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-10)\/g)\/(g\/g**(-4\/7))*((g**(2\/3)\/g)\/g)\/(((g\/(g*g**(4\/5)))\/g)\/g*g) assuming g is positive.\nAnswer: g**(-1166\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 53, -4, -50, -3\/5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -547 = -2*f + c, -4*f + 519 = -4*c - 565. Let s be -1 + -198 - (-3 + 1). Let q = s + f. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/4 - -2 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 805877585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/10*(-10)\/40*-8\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 741 - 730. Solve s*v - 10*v + 15 = -5*t, -4*t - 12 = 5*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1275 in 3\/8, -3, 0, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014797808.\nAnswer: 2, 3, 783023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Sort 2, -1, j in ascending order.\nAnswer: -1, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3 + 128*d**2 - 84*d - 12528 = 0. Calculate d.\nAnswer: -29, -12, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82644 divided by 1.\nAnswer: 82644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/49)\/(-4)*9*8\/108?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*f - 952*f + 59478 = 1045*f - 38123 for f.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4283, -4307, -4347, -4403, -4475?\nAnswer: -4563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243112.401ns in weeks?\nAnswer: 0.0000000004019715625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.44 + 1.471. Put -0.2, -5, 2.9, l in ascending order.\nAnswer: -5, -0.2, l, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 - -119. Sort d, -3, -2.\nAnswer: d, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n**3 - 7*n**2 + 16*n + 29. Let k be y(-3). What is the highest common factor of 871 and k?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 34*k + 85. Suppose 4*i + 62 = 2*l, -6*i + 9*i = -4*l + 102. What is the tens digit of t(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -117\/73 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 10*q**2 + 10*q + 3. Let t be a(-11). Suppose 2*w + 10 = t. Differentiate 478*j - 478*j + 13 - 8*j**w wrt j.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4 = -22*y, -y - 2*h + 887 - 885 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**3 + 4 - 4 + 3*h. Let o(x) = 5*x - 2*x**3 + 2*x**3 + 6*x + x**3 - 12*x. Determine -3*o(p) - w(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 6.738?\nAnswer: 7.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**6\/72 - t**5\/8 - 25*t**4\/12 + 43*t**3\/6 - 3*t - 3. Let y(h) be the second derivative of x(h). Find w such that y(w) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.14 (b) 0.1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -12\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -7. Let z = 1.31 - 0.77. Let w = 0.51 - z. Put -2, v, w in ascending order.\nAnswer: -2, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 106*n**2 + n - 55. Let p be a(53). Sort -4, p, 29.\nAnswer: -4, p, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982796 is divided by 420.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.051332 to two dps.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58 or 4530216?\nAnswer: 4530216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 1 = -d, 4*z = -d + 14 - 18 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7634, 7646, 7676, 7730, 7814?\n\"Answer: i**3 + 3*i**2 - 4*i + 7634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -49*t**2 + 2434*t - 1620. Determine o(49).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l - l)*(-1 + 1 + 2*l**3) + (-4*l + l + l)*(41 - 40 - 1019*l**3 - 2611*l**3)*((0 + 2 - 1)*(1 + 0 - 3) + 6 - 2 - 2 + 0 + 3 - 4).\nAnswer: -7256*l**4 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 4*g - 789*g**2 + 788*g**2 - 3*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1474a6 (base 12) to base 10\nAnswer: 344574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16658 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*t = 3*s - 60, 125*s - 156 = 128*s + 3*t for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 704 and 132.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 0 + (6 - 4). Suppose h*v - 1 = -l + 3, 2 = v. Is -2\/27 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056356 is divided by 211271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h - 5. Let f(v) = -2*v - 51. Let x be f(-27). Let p be ((-2)\/6)\/(x*(-6)\/378). Let n(a) = -3*a + 3. Determine p*n(m) + 4*d(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -883036386 by -154458.\nAnswer: 5717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**4\/12 - 10*v**2. Let m be 1\/(-2) + (-2)\/(-4). Let z be 2*(m + 1 + 0). Calculate p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 8244?\nAnswer: -8237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 346*w - 2500. Determine a(9).\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*k - 135. Let v = -8212 + 8161. Let r = k - v. Calculate the smallest common multiple of r and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j = -20*j - 4, 2*j - 40228 = 3*s. What is the tens digit of s\/(-16) - (-12)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q + 1. Let b(l) = -2*l**2 + 14*l + 3. Let u be b(7). Suppose -u*r = 3*c - 3, r + c - 6*c = -11. Determine d(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + (-7 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3275248 or -3275249?\nAnswer: -3275248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0)\/u*u)**35\/(((u*(u*u\/u**(-6)*u)\/u)\/u)\/u**3) assuming u is positive.\nAnswer: u**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3556*v - 3563*v = 42, -2*v = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**5\/4 - 106451*h**4\/4 + 177388*h**3 - 106431*h**2 = 0?\nAnswer: 0, 2\/3, 6, 35477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3567)\/12)\/((-2)\/8). Suppose -q = -13*x + 293. Suppose -26*y + 24*y = -x. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d*d**(-2))\/d*d*d**1\/d)**47\/(((d\/d**1)\/(d*d**(-5)))\/(d**(-3)\/(d\/(d*d\/d**(-2\/5)*d)))) assuming d is positive.\nAnswer: d**(212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -113*h**6\/40 - 197*h**3\/6 + 17*h**2 - 4*h. What is the first derivative of n(f) wrt f?\nAnswer: -1017*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v + 1. Let r(x) = x**2 + 13*x + 38. Let g be r(-7). Let o(a) = -14*a - 2. Calculate g*o(c) - 11*k(c).\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**6\/120 - 3*d**5\/20 + 5*d**4\/12 + 5*d**3\/6 + 2*d**2. What is the tens digit of f(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01375 and -0.0226?\nAnswer: 0.00031075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 + -13)\/((3\/(-2))\/(-3)). Let d = -12 - -7. Put d, s, 3 in descending order.\nAnswer: 3, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, 560\/23, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3039 - 6077\/2. Factor 0 + g + z*g**2.\nAnswer: g*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 18*q = -42 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000941609 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408.1893l to millilitres.\nAnswer: 408189.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + sqrt(42) + sqrt(672)*1 - sqrt(336)\/(sqrt(40)\/sqrt(5)))\/((-1*sqrt(864) + sqrt(864) + sqrt(864))*6).\nAnswer: 5*sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 328, 128, -84, -314, -568?\n\"Answer: -j**3 - 193*j + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(8\/(8\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/8 + 485445*x\/4 + 970887\/8.\nAnswer: 3*(x + 1)*(x + 323629)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 40*c + 133. Determine w(-10).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/51564 and 49\/66348?\nAnswer: 285097356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/40)\/(156\/234)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188441, -188449, -188425, -188357, -188233, -188041, -187769?\nAnswer: -187405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + sqrt(68)*-5 - (((sqrt(68) - (sqrt(68) - -6*(sqrt(68) - -1*sqrt(68)))) + sqrt(68) - sqrt(68) - sqrt(68) - sqrt(68))\/(sqrt(400)*1))**2.\nAnswer: -10*sqrt(17) - 908\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*sqrt(396) - sqrt(396)) + sqrt(121)\/(sqrt(55)\/sqrt(5)))**2.\nAnswer: 15895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33166776 divided by 124.\nAnswer: 267474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 71.4403cm?\nAnswer: 0.714403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6568013.\nAnswer: 109, 60257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*j + 1338, 4*w = -j - 97 - 1229. Let h = w - -1327\/4. Which is the closest to h? (a) 6 (b) -6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*k - 2, k = -2*t - k - 2. Suppose -b = -t*b + 2. Let c(p) = -17*p + 1. What is the tens digit of c(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 + 89 = -5*s. Let y be (-1)\/((-4)\/36*3). Solve 2*m = y*a + m - 8, -s*m = 5*a + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00369365909 rounded to 6 decimal places?\nAnswer: 0.003694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -0.11292, -1 in decreasing order.\nAnswer: 4, 3, -0.11292, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(-d + 0*d + 3*d) + (-2 + 3 - 3)*(d + 1 - 1) - 188*d - 74 + 74 to the form r*d + a and give r.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 13. Let s = 6 + t. Which is smaller: 4\/7 or s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (258 - 237)\/(6\/(-12)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**6\/120 - t**5\/30 - t**4\/12 + 27*t**3 + 12*t**2. What are the prime factors of o(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 352*r + 9883. Let a be t(-28). Solve -40*n = -a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 250830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 22305?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-110)\/(-77))\/(24*(-75)\/(-200)*1\/(-21))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 412730\nAnswer: 12381.9","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(((-16)\/(-24))\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5016)\/48 + 106)*-9?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -2. Let c(a) = -4*a - 17. Let k be c(-5). Suppose k*n - 5*p + 13 = 0, -3*n - 4*p + 8 = -24. What is the nearest to 2 in n, -2, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000155991 rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2079 divided by 2079.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 933.266023 and -882.\nAnswer: 51.266023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 + 7 - 4)*-105 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r*u**2 - 634160*r*u - 699764*u**4 wrt u.\nAnswer: 2*r - 8397168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29383954, 29383952, 29383950, 29383948, 29383946?\nAnswer: 29383944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 715 and 920725.\nAnswer: 10127975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*w - 226 + 154 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 130 + -104 + -162 + -2.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36186412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 - 3. Suppose -3*d + 3 = 6. Suppose s = 4*s - 15. Which is the nearest to 2\/3? (a) d (b) s (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -4*b**3\/3 + 493. Let a(m) be the third derivative of -3*m**5\/20 - 2*m**2. Give u(a(q)).\nAnswer: -324*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:28 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*v = 36, 2*v = 3*h - 3*v - 22. What is the greatest common factor of h and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*o - 138. Suppose 0 = 2*f - 6*f + 16. Suppose 4*y + f*l - 180 = 0, y + 2*l + 22 = 67. What is the remainder when y is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3 = -d, 6*h - 209*d + 206*d + 3 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/204)\/(6\/8*(-1648)\/(-1854)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -434*r**3 + 17*r**2 - 17*r - 17. Let f(g) = 145*g**3 - 6*g**2 + 6*g + 6. Determine -17*f(d) - 6*i(d).\nAnswer: 139*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308994 + 667418 = 17*h. What are the prime factors of h?\nAnswer: 2, 83, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/338 and 29\/26.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10439, -18185, -25931, -33677?\n\"Answer: -7746*p - 2693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 335038 and 67510.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 31. Let q be 0\/((-2)\/(-1)) - r. Suppose 6 = -q*j - 49. What is the smallest value in 4, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 8:11 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l**2 + 2. Let x be -2 + (56\/252 - 122\/(-18)). Let t(j) = 23*j**2 + j + 5. Give x*q(v) - 2*t(v).\nAnswer: 9*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 620724, 620819, 620914, 621009, 621104, 621199?\nAnswer: 621294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0597 + -0.0597. Put -0.1, -0.058, x in ascending order.\nAnswer: -0.1, -0.058, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 309 + -47. List the prime factors of h.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 48*x - 19. Let m(c) be the second derivative of c**3\/6 + 37*c. Let v(b) = -d(b) - 4*m(b). Is v(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2, 130 in decreasing order.\nAnswer: 130, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 6*n**2 - 8*n + 4. Let c be q(-4). Suppose -4*g + 6*g + c*h = -82, -2*g = -3*h + 54. Is (51\/(-9))\/1*g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q)\/q**2 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/32714 and -9\/32714.\nAnswer: 32714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -23 (b) -2 (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-2) + 7\/(-42)*21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**5\/60 + 5*b**4\/24 + b**3\/2 + 4*b**2. Let y be x(-4). Is y > -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 674.7 - 1.\nAnswer: 673.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5388 is divided by 64.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2. Let z = 2 - 0. Let c(j) = 0*j**2 + 0*j - j**z + 0*j. What is c(d(w))?\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 704313 less than 704332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*98\/84)\/(-7)*-6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456309, 1824520, 4104633, 7296648, 11400565, 16416384?\nAnswer: 22344105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 9. Let l be u(-7). Let i = l + -28. What is the remainder when i is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 21*c - 56. Let f(k) = 20*k - 48. Let v(t) = 7*f(t) - 6*j(t). Let m(d) = 22*d**2 + 8. Determine m(v(l)).\nAnswer: 4312*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6312545567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + (1*sqrt(684)*-5 - sqrt(684))**2 - (-3*sqrt(684) + 4)) + 3.\nAnswer: 24*sqrt(19) + 24623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*z - 2352 = 25*z + 24*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15086, -869, 13348?\n\"Answer: 14217*x - 29303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9340049867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**7\/1260 - a**6\/120 - 7*a**5\/360 - 6*a**2. Solve g(d) = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5954 (b) -197 (c) 2\/7 (d) -5 (e) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 6. Let p(u) = u. Let c(r) = -2*p(r) + y(r). Let m = -174 + 180. Determine c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.059 + -84.841. Let p = r - -85. What is the smallest value in -9, 2\/11, 1, p?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 6*r**2 - 7*r. Let v be m(-7). Suppose y = g - 1, 8*y - 4*y - g - 8 = v. Is 1 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10*s*s**(-3\/4)*s**(1\/6)\/s*s**7)**(5\/11) assuming s is positive.\nAnswer: s**(985\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/49521 and 65\/63.\nAnswer: 1039941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3942*-3.\nAnswer: 1.1826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v + 1. Let q be (2\/(-4))\/((-7)\/14). Calculate n(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0 - -10*2. Let y = s + -8. What is the remainder when 52 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*2 + (25 - 14). Solve 3*m = w + 10, t*m - 2 = -4*w + 2*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/(-85) + 12 + (-1616)\/136?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 38378 and 38378 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + (55 + -7 - 66)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 6 = -3*z. Suppose -2*o = -5*q + 183, 3*q = z*q - 2*o + 27. Suppose 10 - 35 = -5*v. Solve -s + 30 = -5*n, -s - q = 3*n - v*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 768416664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*(-2*(sqrt(425) - (sqrt(425) + 1)) + -1 + 4)**2.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298298693280646 plus -0.2?\nAnswer: 298298693280645.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 67\/2 (c) -15 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3*g - 3 = 0, -39 - 39 = -5*s + 10*g + 68*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -445\/1959 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 437586887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) + 0 + sqrt(80) + sqrt(80) + 1)) + 2*sqrt(80)*-4)**2*-4 + ((-5*(sqrt(720) + 0) - (sqrt(720)*-1 + sqrt(720) + 2))*2)**2.\nAnswer: 640*sqrt(5) + 40012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11000001110001?\nAnswer: 11000001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122 + 10220?\nAnswer: 20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 45*y**2 - 159*y - 12. Let x be a(6). What is the greatest common divisor of 436 and x?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 4) to base 14.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4 + 192*d**3 - 196*d**2 - 192*d + 194 = 0?\nAnswer: -97, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h - 160 = -28*h. What is the greatest common divisor of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*k + 4*k**2 + 2\/3 + 8\/3*k**3 + 2\/3*k**4.\nAnswer: 2*(k + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 6 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -202, -236, -292, -370, -470, -592, -736?\n\"Answer: -11*t**2 - t - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -17*d - 2 + 3 + 16*d - 5. Let h be g(-8). Suppose 0 = y - 4*r - 56, 3*y + 0*y + h*r - 152 = 0. Calculate the greatest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3019 and 4249.48927059.\nAnswer: 4249.18737059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -276558006 minus 178120?\nAnswer: -276736126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1192 + -1186. Sort 3, 22, a.\nAnswer: 3, a, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89028.89mg in nanograms?\nAnswer: 89028890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 4, e: 1, q: 4, z: 3, w: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2373*z - 2376*z + 7062*z - 2350*z.\nAnswer: -37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 39. Find the second derivative of 3*w + 3*w - p*w + 29*w**2 + 2*w wrt w.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 906*b**2 - 1804*b.\nAnswer: -2*b*(b - 451)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(119)*1 - sqrt(119) - sqrt(119) - sqrt(119) - (sqrt(119) - 3*-1*sqrt(119)))\/(sqrt(567)*1 + (sqrt(42) - (sqrt(42)*-1 + sqrt(42)))\/sqrt(6)).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -29*j + 10. Let b(d) = -118*d + 25. Let n(r) = 43*r - 9. Let f(w) = 3*b(w) + 8*n(w). Give -2*c(t) + 7*f(t).\nAnswer: -12*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -439*n**3 + 2*n**2 - n - 1. Let v be f(1). Let s = v - -615. Calculate the greatest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.068?\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -454, -675, -898, -1123, -1350, -1579?\nAnswer: -1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 42 = -4*h + 13, -3*h + 22 = -5*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m - 40. Let o be d(9). Let s = o - 28. Solve 0 = 2*c + 4*q + s, 3*c - q - 3 - 5 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b**7\/b)\/b*b**(4\/9))\/(b**0*b)**(7\/6))**(-36) assuming b is positive.\nAnswer: b**(-226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147852, 147903, 147954, 148005?\nAnswer: 148056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5407 + 3824. Let m = q - -1586.068. Let f = 0.068 - m. What is the smallest value in 0.5, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x - 2*x + x + 2*x**3 - 6*x - x**2 to the form j*x**2 + z*x**3 + d + w*x and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*p - 16874 = 11565 + 50951 for p.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 12:28 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 + -76. Let c = 11 - f. What is the biggest value in c, -0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-8\/9))**(-1\/37) assuming v is positive.\nAnswer: v**(-1\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/((-57)\/(-84) + 16\/28). Solve 4*s - 4*r = a, r + 10 = -5*s + 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfffkfffffffkfx. What is prob of picking 1 x and 2 k?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.6 - -21. Let n = u - -0.6. Let g = n + -0.95. What is g rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*c*j**6 - 4453*c*j**3 + 740075*c*j**2 + 5 wrt j.\nAnswer: -14280*c*j**3 - 26718*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/8 + (-1)\/4. Suppose 0 = -2*l - f - f + 14, 0 = -m*l - 5*f + 31. Suppose l*j + 3*q - 7 = 0, q = -3*j + 7*j + 7. Is 0 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.125037l in millilitres?\nAnswer: 9125.037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (-6 - ((0 - -8) + -1 - 9))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eue when three letters picked without replacement from berrxuxuxubbe.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0 - 20 = 0. Suppose p = j*p + 6. What is the units digit of p + (1*8 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + b - 686 = -2516, -3*x + 5482 = 5*b. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -20937, -0.7 in ascending order.\nAnswer: -20937, -0.7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 201513 (base 8) to base 5\nAnswer: 4111004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**3 + 16*t**2 - 36*t + 18. Give m(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60, 120, 190, 270, 360?\n\"Answer: 5*b**2 + 45*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27864242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + 28 + -31?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Suppose -n*x - 5 = 2*x. What is the units digit of (1 - x) + 1*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.23\nAnswer: -0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 + 160*j - 6400 = 0. What is j?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/11 - 4866\/(-66). Calculate the greatest common divisor of v and 11729.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011110000111111101 (base 2) to base 9.\nAnswer: 646760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 + 3*b**2 - 21*b - 1. Let n(m) = -2*m**3 - 2*m**2 + 2*m + 1. What is 3*n(k) + u(k)?\nAnswer: -8*k**3 - 3*k**2 - 15*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 4:47 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -169, -174, -181, -190?\n\"Answer: -l**2 - 2*l - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 9:15 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 394540050 and 6450?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -2292?\nAnswer: -7\/1146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c**3 - c**2 + 11*c - 13. Determine h(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 10. Suppose -3*w - 3*c = -24, -3*w + 5 = -a*c - 3. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1067963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032002321 (base 4) in base 6?\nAnswer: -10503545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.116 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 296, 1028, 2444, 4772, 8240?\n\"Answer: 38*i**3 + 10*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1319, -1314, -1297, -1262, -1203, -1114, -989, -822?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(9\/(-6)*-2). Suppose m = -x*m + 5. Suppose 4*l - 11 = d, 0 = l - 2*d - 0*d + 6. Solve -y + 0*y - 1 = -2*j, j + l = m*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.001 - -17.201. What is the smallest value in 12, m, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**5 - 88*v**4 - 260*v**3 + 544*v**2 + 720*v = 0.\nAnswer: -18, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44886545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -78, -91, -108, -129?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498470.\nAnswer: 2, 5, 7, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 7*z = 6. Suppose z*y - 5*y = -10. Suppose 0 - 7 = -u - 5*f, 5 = 3*u - f. Put -4, u, y in decreasing order.\nAnswer: y, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 41 = 5. Suppose 5*a - n - d = 0, 5*a + 0*n = -n + 12. Suppose a*x - 1 = 8. Solve 0 = x*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 5*b**3 + 1. Let v be k(1). Suppose -2*r = h - v - 87, h = 4. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109242672 divided by -1?\nAnswer: 109242672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 1022\/61?\nAnswer: 1022\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -165.494 + 165. What is j rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 13*s - 5. Let i be c(-12). Suppose q + 6 = 2*q. Let l = i + q. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 - (-1 - 3 - -3). Solve -4 = 5*a + h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 + -119. Let w(a) be the first derivative of 0*a + b*a**2 - 1 - 4\/3*a**3. Let l(m) = m. Calculate w(l(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860 divided by -22?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 4. Suppose -z*k = 5, -b + 0*b = -5*k - 21. Suppose -b = -5*n + n. Solve 4*t = m + 23, -n*t + 27 = -4*m - t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 77*g**3 + 13*g**2 - 11*g - 1. Determine r(1).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/9*-3*(-3 + 3). Suppose -3 = 3*o, -4*s + 13 = -q*o - o. Solve 5*z - 10 = 3*k + s, -5*z + 25 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2591 - 2586. Put k, -87, 8 in descending order.\nAnswer: 8, k, -87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -5, -4, -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + 17*n**2 - 6*n + 19. What are the prime factors of m(8)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4216 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 588 + -618. Is -26 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 51*k**2 - 14*k**2 - 5*k**2 - 10*k**2 - 6*k**2.\nAnswer: -2*k**3 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/264 and 49\/120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1152 + 0.1152. Sort 0.6, 1, q in descending order.\nAnswer: 1, 0.6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/18)\/(-75 + 26940\/360)*-120 - 9?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59884 is divided by 110?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 56. Let v = -50 + 86. Suppose 2*z = -2*r + v, 3*z - 55 = -0*r - 4*r. Calculate the highest common divisor of g and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(1\/9))\/u)\/u**(-1\/5))\/(u*u*u**0*u)**(-15))\/((u**2\/((u**(-1\/3)*u)\/u*u))\/(u\/(u**(-4)\/u)*(u\/u**(-2\/5)*u)\/u)) assuming u is positive.\nAnswer: u**(2302\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 - 17\/(-5). Suppose -2*y = -v - 369, t*y - 6*y - v = -566. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12771017*d**2*v + 38*d*v - 662339568*v wrt d.\nAnswer: -25542034*d*v + 38*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 i when four letters picked without replacement from iyeyyeyiueyi.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1021*t**4 + 932?\nAnswer: -4084*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3) - 5\/(-3). Suppose 5 - 1 = o*q. What are the prime factors of 5\/2*1*q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/32 and 55\/24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 9*q**2 + 73*q + 339. Let t be z(-5). Put 0.1, 1, 1\/7, -8, t in decreasing order.\nAnswer: 1, 1\/7, 0.1, -8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(210)\/(sqrt(50)\/sqrt(5)))\/(sqrt(21)\/sqrt(3)*6)*-3.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1544*p + 4596. Calculate k(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 126*r**3 + 2*r**2 + r + 2. Let b = 15 - 21. Let j be (-9)\/b*(-16)\/12. Let h be v(j). What is h rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 4*f + 6. Let w(n) = -2*n**2 + 9*n + 13. Calculate 2*w(s) - 5*x(s).\nAnswer: s**2 - 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/27 - -13\/54. What is the nearest to 1\/2 in n, -2\/5, 3\/4, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2735.\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-18))\/((-11)\/33). Let y(q) be the third derivative of -p*q**3 + 4*q**2 - 1\/8*q**4 + 0*q + 0. Differentiate y(m) wrt m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 7309137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/10 + 52\/20*-4. Let k(o) = o**2 + 10*o - 13. Let i be k(y). Let n be (-2 - (-1 + i)) + (-24)\/(-8). Solve -2*x + n = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 205*d + 462*d + 136 + 152 + 176*d + 1080*d**3 + 469*d + 54*d**4 + 2016*d**2.\nAnswer: 2*(d + 18)*(3*d + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(5)*4 + (sqrt(1053) - (sqrt(1053) + 2 + sqrt(1053)) - sqrt(1053))**2.\nAnswer: 76*sqrt(13) + 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -67607814 divided by -11267969?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**3 + 6*q**2. Let s(m) = 5*m**3 - 6*m**2. Let t(z) = -6*s(z) - 7*x(z). What is the third derivative of t(r) wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 6. Let x = -20.3 - -2.3. Let d = -16 - x. What is the closest to 0 in 3, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:54 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, -4808, 9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 636465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 974602829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.5217299 times 1\nAnswer: 0.5217299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32341 + -21?\nAnswer: -32362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7249 - 4921. Calculate the highest common divisor of h and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34287 times -0.9\nAnswer: 30858.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 680*o**2 - 434*o**2 + 1179*o**2.\nAnswer: 1425*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w. Let p be 0 - 0 - w\/(-5). Find the second derivative of 0*x + x + p*x + 2*x**2 wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3575 - -3575.0009365. Round k to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 - h - 4. Let v be 130\/15 - 4\/6. Suppose -2 = -3*o - v. Is 10 a factor of x(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 + 8*r - 47 + 27.\nAnswer: 8*r + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 7\/4, 0.286?\nAnswer: 0.286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3367 is divided by 181?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8022 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411635929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37607*p - 23543 wrt p?\nAnswer: -37607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 - -194. Let z = v + -135.0009. What is z rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 k when two letters picked without replacement from aaaaaaaaakaaaaa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 6*b + 10 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040146 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 19*b**2 + 45*b + 20. Is c(27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2226 - 871?\nAnswer: -869.7774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.16 and 37149.\nAnswer: 5943.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -492268 less than 72579?\nAnswer: 564847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 5:05 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 314319051*f**4 - 51469305 wrt f?\nAnswer: 1257276204*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, -0.1, 0.027, 0.06, -2 in decreasing order.\nAnswer: 11, 4, 0.06, 0.027, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 12*f + 57. Give h(0).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 93*d + 58. Let y be c(29). Let t = y - 633. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 800*u - 917*u - 3*w - 2469, -2*w = -u - 13 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 48 + 114 = 0. Let l be -32 + b + 2\/((-42)\/(-1209)). Does l = 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 334555*y**2 + 270202?\nAnswer: 669110*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -34) + (13 + -23 - (-6 + -12))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 3\/5 (b) 3 (c) 37840\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104462 - 44979. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4506000 rounded to the nearest 100000?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1818010 (b) 2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 794 - 1620 + 826.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 + 3 + (0 - 2). Let w = 10 - i. Let f = 25 + 12. Calculate the remainder when f is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.2 + 8. Let j = u + -0.9. Which is the second smallest value? (a) j (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2508 - 2508 + 7*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4062*k + 236*k - 7336*k + 4 - 5)*(6 - 5 - 2) to p + r*k and give r.\nAnswer: 3038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.1, 3, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1806778, -3613564, -5420350, -7227136, -9033922?\n\"Answer: -1806786*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.4*111.\nAnswer: 1820.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.9160502 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-8)*(-40)\/264?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1512 and 59\/2376.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3\/3 + 27305*c**2\/3 - 76699732*c\/3 + 25557476 = 0.\nAnswer: 1, 3178, 24126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 125\/3. Suppose 1\/3*l**4 - 1\/3*l - 2\/3*l**2 + 2\/3*l**3 - q*l**5 + 1\/3 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20629.\nAnswer: 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/(-20)*(-70)\/4. Find the second derivative of 28 + 2*w - 13*w**2 - 11*w - o wrt w.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234 is divided by 69?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000090328 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.447498957 rounded to 4 dps?\nAnswer: 0.4475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 135737.79 months?\nAnswer: 11.3114825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/11 - -34\/55. Is -2 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1609786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*i**2 - 36*i**2 + 0*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niiykwkiww. What is prob of picking 3 w and 1 i?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 5*f**3 - 798*f**2 + 799*f**2 + 2 to w + d*f + m*f**2 + c*f**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87183340 by -10.\nAnswer: -8718334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 54661005.1 to the nearest 100000.\nAnswer: 54700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000903 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x - 5*x + 4*x)*(x - 5*x + 3*x)*(-6*x**3 - 8*x + 8*x).\nAnswer: 54*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 4*w - 3*w)*(1 - 2 + 2)*(-2*w**2 + 1 + 6 - 6).\nAnswer: 10*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -c, 3*c + 15 = 6*c. Let k(m) = 2 - 1 - 2*m**2 + 3*m**2 + 8*m - 5*m. Let d be k(-4). Solve -d*w + 8 = -p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.892 to 0 decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 979904778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475, 981, 1519, 2089, 2691, 3325?\nAnswer: 3991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4653 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82899216 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5216073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.6 - -0.6. Let y = z - -16. Which is the nearest to y? (a) 3\/2 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*o + 2*o + 100*o + 8436 for o.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n**2 + 12 - 44*n**2 + 25 - 32 - 47*n**2.\nAnswer: -65*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 706163.7ml in litres?\nAnswer: 706.1637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1510 and ((-12)\/(-32)*1 - 12690\/(-80)) + -8?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 845 + -840. Let z = 11898\/25 + -476. Suppose i + 2*i = -9. Put x, i, 1, z in decreasing order.\nAnswer: x, 1, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n**2 + 210*n**3 + n**4 - 15*n**2 - 25*n**2 + n**4 - 1 - 212*n**3 to the form q*n**4 + w*n**3 + v + p*n**2 + k*n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18698 + -18693. Let y(j) be the third derivative of -14*j**2 - 7\/15*j**f + 0*j - 8\/3*j**3 - 10\/3*j**4 + 0 + 3\/10*j**6. What is i in y(i) = 0?\nAnswer: -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 608?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 + 47*r - 31. Let z be f(15). Suppose 5*p + 15 = 0, -t - p = 2*p + 10. What is the tens digit of (z - -57) + t*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -198*k - 28. Let d(g) = 197*g + 21. Give -4*d(f) - 3*v(f).\nAnswer: -194*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3. Let l(y) = 4*y**3 - 11*y. Give l(q) - 3*s(q).\nAnswer: q**3 - 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 96\/(-128)*(-16)\/6 - 4. Let y(u) = -2*u - 1. Let q be y(i). Find s, given that 11\/4*s - 1\/2 - 4*s**2 + 7\/4*s**q = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -106. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292360756 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 21420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7026419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -i + 4, 7 - 3 = i + x. Suppose 4*h + 336 = i*c, 0 = -7*c - 6*h + h + 528. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(52) - (-1*sqrt(2548) + sqrt(2548)) - sqrt(52))\/sqrt(4) + sqrt(143)\/(sqrt(44)\/(sqrt(4)*-2))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -13543.\nAnswer: 2708.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-7 + 8) - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3507107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1317 + 1319. Let u(a) be the third derivative of -1\/32*a**4 - 1\/12*a**3 + 0*a + 0 - 1\/240*a**5 + 3*a**l. Factor u(k).\nAnswer: -(k + 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let p = 2 + d. Suppose v - p = 2. Let t(g) = -6*g + 2. Let b(y) = -y. Give v*b(k) - t(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*s**2 - 2*s**3 - 24*s**2 + 9*s**2 + 2*s**4 + 6*s**4 to m + q*s**2 + y*s**3 + c*s + b*s**4 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -476 - -484. Solve 2*z - 4*z - 20 = -4*h, -5*z = 4*h + g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 3*z + 3. Let x be n(5). Suppose x = -3*o + 88. Let g = o + 7. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 2*r + 2. Let a be z(0). Let y(g) = -g**2 + 6*g + 6. Let i be y(7). Sort a, i, 18 in decreasing order.\nAnswer: 18, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*r**3 + 3*r**3 - r**3 + (-4 + 0 + 1)*(-2*r + 2*r - 2*r**3).\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*u - u + 2*u)*(52 - 9 + 15) - 2*u - 4*u + 2*u)*(-15 + 15 + u + 2*u - 1 + 1 + 0 - u + 0 + (-4 + 1 + 2)*(-2*u + 2 - 2)).\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3536 + -87820?\nAnswer: -84284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -22, 2, -6, 34 in decreasing order.\nAnswer: 34, 2, -3, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*r - 3*r - 720, 0 = 3*k + r - 424. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.9, 4\/7, -2\/19, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-3 - 5 - 1). Suppose -z + 5 = -m, 3*m = 2*z - 1 - c. Solve z = l + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygyggyygygggygygggg. What is prob of picking 2 y and 1 g?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 2*v = 2046. What are the prime factors of v?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y + 18*y = -4. Suppose 0*c - 24 = -y*c. Suppose 179 = g + 2*s, g - 3*s = -c*s + 175. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 4*l + 4. Let m(j) = -46*j + 508. Let f be m(11). Determine s(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 18656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107\/2 - -57. What is the nearest to -0.1 in 2, 5, -4, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20, -72, -158, -278?\n\"Answer: -17*d**2 - d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -0.1. Let y = r - -2.2. Which is the third smallest value? (a) -0.1 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c - 90 = -37*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2726543 and 7274.\nAnswer: -2719269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -243816571\/3 or -81272190?\nAnswer: -81272190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) + -6*sqrt(99)*5 + sqrt(99)))*1)\/((sqrt(9) - (sqrt(9) - sqrt(81)\/(sqrt(9) + sqrt(729))))*-4).\nAnswer: -145*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.6 - -3.4. Let v = -21.6 + 6.6. Let l = x + v. Sort l, 1\/2, 4.\nAnswer: 1\/2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00051857735 rounded to seven decimal places?\nAnswer: 0.0005186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 52. Let j = h + 31. Sort -3, j, -4\/5 in descending order.\nAnswer: j, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -13478*f**4\/9 - 606512*f**3\/9 - 2169988*f**2\/3 + 7128896*f\/9 + 1058\/9 = 0.\nAnswer: -23, -1\/6739, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j**2 - 1984960*j - 1323300 = 0. What is j?\nAnswer: -132330, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - 2*q**2 + 6*q**2 - q**2 + 2*q**2 - 3*q**2 + 6*q**2 - 13*q**2 + 8*q**2 + (q - 2*q - q)*(0*q + 0*q - q) + 57*q**2 + 6*q + 3*q - 1 - 56*q**2.\nAnswer: 6*q**2 + 9*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 68 = 16*f - 12*f, 5*f + 8 = -g. Sort 5, -41, g in descending order.\nAnswer: 5, g, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75632906, -75632892, -75632854, -75632780, -75632658?\nAnswer: -75632476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 2. Let g(q) = 3590*q + 4308. Give -g(z) + 2154*x(z).\nAnswer: -1436*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 2*f**2 - f + 4. Let i be z(-3). Let x = -25.9 + -0.4. Let u = x + 26. Which is the second biggest value? (a) u (b) i (c) 8 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-7)\/m)\/(m\/(m*m\/(m\/m**(-4)*m*m*m)*m)))**(-2\/3)\/(m*m*m\/(m*(m*m**0)\/m)*m*m**(2\/7)*m**(1\/3)*m*m**4) assuming m is positive.\nAnswer: m**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*p - 12527, 7505 = 3*u - 0*u - p. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.856 + -19. Let k = j - 3.856. Put -2\/11, -0.4, k in increasing order.\nAnswer: k, -0.4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 11:11 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 5*t**2 + 6*t + 6. Let s = 11 - 16. Let n be s*(6\/(-5) + -2). Let q be 34\/(-8) + 4\/n. Calculate j(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 465045.27 + 108.8632\nAnswer: 465154.1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 1:00 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -157, -151, -145, -139?\n\"Answer: 6*w - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 10*v + 34. Let g = -1 + v. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**17*a\/(a\/a**(-1\/5)*a*a) assuming a is positive.\nAnswer: a**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhhmhb. What is prob of sequence hh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from {r: 1, i: 1, c: 1, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*b + 2*f, 8*b - 48 = 4*b - 2*f. Suppose -5*n - 12 - b = -3*v, -5*n = 4*v + 16. What is the remainder when 1 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3188*z + 408047. Calculate c(128).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5 + 6613*j**4\/3 + 3551672*j**3\/3 - 102122732*j**2\/3 + 232630944*j + 81369792 = 0. Calculate j.\nAnswer: -1116, -1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*-3*4\/(-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -414.070014792 + 414.07. Round r to 7 decimal places.\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 639 and 1269693.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 2591.\nAnswer: 18137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (6 + -3 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59\/2? (a) -5 (b) 3 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*s - 67, -i + 193 = 4*i - 4*s. What is the remainder when i is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 11*f - 4. Determine s(9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 125 - 62. Suppose 2*f = -f - n. Let s = f - -38. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 28 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*a + a - 18 = 0, 0 = 5*a - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -223, -321, -467, -667, -927, -1253?\nAnswer: -1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 3*f + 2*f + 19*f + 6*f.\nAnswer: 33*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o + 5 = 0. Let x(d) = -6*d + 8. Let m(a) = 5*a - 7. Let g(t) = 3*m(t) + 2*x(t). Let w(f) = 20*f - 32. Give o*w(j) - 32*g(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 232 - 256 = -4*r, 0 = -3*r + 4*d + 366. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 34*k**2 - 2*k - 56*k**2 - 8*k**2 + 5*k - 3*k.\nAnswer: -30*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 306\/7 - 44. Let y be 1*(-2)\/16*(-100)\/(-75). What is the third biggest value in x, 1, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9799*u + 2458*u + 2443*u + 2454*u + 2449*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*h - 39. Let c(z) be the first derivative of -6 - 4 - 3*z - h*z**2 + 24*z. Differentiate c(x) wrt x.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2469 + -1127. What are the prime factors of a?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4837, -9694, -14549, -19402?\nAnswer: -24253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-2)*72\/(-1800).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 856 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1025*u**2 - 1035*u**2 + 3054*u**2)*((-7 + 2 + 3)*(4 - 1 - 2) + 19 + 0 - 3 - 9).\nAnswer: 4970*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7}. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561472 a multiple of 2368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165797003?\nAnswer: 5953, 27851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 4*l - 120. Let v be p(-13). Let o(u) = u**3 + 4*u**2 + 5*u + 10. Let y be o(v). Solve h + 3*g = -10, 0*h - h = -y*g - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-17)\/(-34)). Solve y - 11 = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 208*t + 8. Let p(l) = -208*l - 7. What is 6*p(a) + 5*x(a)?\nAnswer: -208*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 + -0.14. Which is the third biggest value? (a) 5 (b) z (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, 18, 28686, 1\/2?\nAnswer: 28686","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -7*h**5\/60 + h**4\/12 - 8*h**2. Suppose 0 = 2*w + 3*w + 30. Let j(s) = -s + 5*s - 13*s**2 - 2*s**2. What is w*j(n) + 13*l(n)?\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832913424?\nAnswer: 2, 3, 7, 826303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**5*(y\/y**8)\/y)\/(y\/(y*y**0*y))**27)**(-1\/51) assuming y is positive.\nAnswer: y**(-5\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.268 - 381.268. Let p = -380.902 - z. What is p rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2139 + 8816 = 0. Let q = 3092 - z. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*p = -10, 9 = -0*h - h + 5*p. Calculate the remainder when (-1)\/((-4)\/(-452)*-1) is divided by h\/(-4) - (-471)\/12.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -44c65bb?\nAnswer: -44c65bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 2, e: 1, y: 2, p: 2}. Give prob of picking 1 q and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-3 - -7 - (8 - 10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 r when four letters picked without replacement from {r: 1, i: 7, j: 5}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) - 20\/12. Let a be 0 - ((s - -4) + 21). Let u be 6\/(-8) - (-78)\/a. Sort -0.2, u, 4.\nAnswer: u, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**2 + 424*c + 884 + 692*c**5 - 884 - 4*c**2 wrt c?\nAnswer: 13840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 42 = 11*b. Let z(k) = k**2 + k + 1. Let h(p) = -9*p**2 - 6*p - 6. Let t(s) = b*z(s) + h(s). Let v(f) = -6*f**2. Give t(v(y)).\nAnswer: -108*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**3*m**3 - 262*d**3 + 8*d**2*m**3 wrt m?\nAnswer: -3*d**3*m**2 + 24*d**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28653.1 - -28653. What is the closest to -2\/5 in 2, -2\/15, -30, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 60, -2, 0.1, -138, -4, 0.3, -80?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51352 and -243?\nAnswer: -12478536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2\/4 - 243*m\/2 + 19683\/4 = 0.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 434 and 59675?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/((-145)\/2610). Let m(x) = 4*x + 5. What is m(i)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20718 is divided by 397?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 times -2.4?\nAnswer: -86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, t: 1, m: 1, q: 5}. Give prob of sequence um.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59144571*w**3 + 2685*w**2 + 1328 wrt w?\nAnswer: -354867426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 59 (c) 368 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 + 22 = 0. Let o(g) = -g**2 + 10*g + 10. Let n(i) = -i**3 + 6*i**2 + 3*i - 8. Let b be n(6). Let y be o(b). Solve -l*c - y = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*g - 10*g + 1414*g**2 - 1421*g**2 in the form v + i*g + w*g**2 and give i.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 12:06 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 126*i + 1. What is g(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5042281 divided by 2.\nAnswer: -5042281\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -2 (b) -16 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - r + 17*r)*(-1 + 2*r + r - 2*r - r**2).\nAnswer: -11*r**3 + 11*r**2 - 11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -3*y - 15*y + 160. Calculate the greatest common factor of y and 55.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrrt when four letters picked without replacement from vdrvrvrvrjdrtvdvn.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1294*f. Let v(p) = 1. Let j(g) = -m(g) + 3*v(g). Let b be j(-2). Let u = 41397\/16 + b. Calculate the common denominator of u and 25\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -7. Let r = j - -12.7. Let x = r + -0.8. What is the nearest to x in -0.4, 2, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 7:01 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 46. Let v = -6 + -12. Let k = t + v. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 440044289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) -3\/7 (b) 1922 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/8 + (3 - 0). Suppose -3*c = -7*c + f + 26, -u*f + 25 = 3*c. What is the remainder when 23 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d61836 (base 15) to base 5.\nAnswer: 10101241401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007205671 rounded to 4 decimal places?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 360737548.164095727 - 360737548. Let i = w - -8.635913373. Let k = i + -8.8. What is k rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = 0, 3*h - 66 - 59 = -d. Let t be 7\/(h\/24) - -23. Calculate the highest common divisor of 27 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 6075\/300 + (1539\/(-12))\/(-3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 1\/4*x**3 + 1\/32*x**4 - 1\/80*x**5 + 0*x + x**2 - 36. Let u(t) be the second derivative of r(t). Let u(c) = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from {h: 2, m: 1, i: 1, d: 3, g: 1, w: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*r**4 + d**3 + 2*d**2*r - 33*d*r**5 wrt r?\nAnswer: -24*d**3*r**2 - 660*d*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.104 - -0.396. Let n = 3 - 6. Let k = n + 2.9. Which is greater: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37221.681 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = -2. Let m(o) = o - c + 3. Let r(q) = -q**2. Calculate r(m(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 - (0 - -11 - 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44475123 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -6. Let w = 9 + q. Let z(r) = -r**3 + 6*r**2 + 3. Let u be z(6). What is the third smallest value in u, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*-2*-2)**2 + -5)*-3.\nAnswer: -17409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453625300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*z - 70 = -2*m, m = 2*z + 240 - 243 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 6*u**2 - 6*u - 4. Let p(y) = -7*y - 21. Let l be p(12). Let r be 2\/(-3)*l\/(-10). What is o(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -33?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9485129*s + 9286657 wrt s.\nAnswer: 9485129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 23*w**2 - 26*w - 45. Let h be p(-24). Suppose h*f + 44 = 47. Solve -5*c + f = -9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 7*b**2 + 5*b - 1. Let m be w(-6). Let a = m - 7. Let l be (-1024)\/40*125\/a. Round l to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-7)\/112)*6\/(-8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49763915 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3291 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -906765 - -86418\nAnswer: -820347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/168*(0 - 75*-1). Which is smaller: 2\/5 or t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5) - (-7)\/(-5). Sort -2\/17, 0.4, u, 5 in increasing order.\nAnswer: u, -2\/17, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/2, -17, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = y - 3, 13 + 30 = 3*y + 5*h. Solve 2*f + 3*j + 1 - 2 = 0, -f + 2*j = -y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4\/5, 1, 31048, -65?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q**2 - 4*q**2 + 4*q**2 - 5*q**2 - 10*q**2.\nAnswer: -34*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*q + 58, -3*x - 73 = -0*q - q. Which is the biggest value? (a) 0.5 (b) 1\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1967, -9542, -30117, -70196, -136283?\n\"Answer: -1084*k**3 + 4*k**2 + k - 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.52603518 to 2 dps.\nAnswer: 4.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13543399, -27086799, -40630199, -54173599, -67716999?\n\"Answer: -13543400*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -4 + 8 - 10. Let c(s) = -331*s**3 - 5*s - 11. Is c(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518515124 a multiple of 889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106452164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utppt. What is prob of sequence tt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*p - 1543, -2*d - 4*p + 1011 = -11. Calculate the remainder when d is divided by 65.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -79\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 354894499 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1166 + -753. Calculate the greatest common divisor of 59 and c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -1037345.\nAnswer: -93361.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4199\/63 + 437\/7. Let x = 1268 + -8824\/7. Find the common denominator of x and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -305, -614, -929, -1250, -1577?\n\"Answer: -3*k**2 - 300*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.148 + 0.152. Let v = -24.4 + l. What is the closest to v in -1\/7, 2\/3, -1\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 544.2845ug to grams.\nAnswer: 0.0005442845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -3951?\nAnswer: -8\/3951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-100)*490\/735\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -11*s**5\/100 + 29*s**4\/30 - 1306*s. Factor i(f).\nAnswer: -f**2*(11*f - 58)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 470 and 23171.\nAnswer: 231710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-76))\/(-2 - 0). Let t = -244.1 - -244. Which is the nearest to t? (a) n (b) 0.4 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27795)\/1090*(-376)\/408.\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34010 (base 5) to base 3.\nAnswer: -10021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3318*t**4 - t**3 + 3*t**2 + 1145852 wrt t.\nAnswer: 13272*t**3 - 3*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 889.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2223.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3583, 3584, 3585, 3586, 3587?\n\"Answer: d + 3582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-3)\/243*(-6)\/(-1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4*c - 10 = 0, -5*s + 6 + 4 = -5*c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*4*6 + sqrt(110) - sqrt(110))\/(sqrt(10) + (sqrt(70) - 3*sqrt(70))\/sqrt(7)) + -5)*-1*1.\nAnswer: 5 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -36*x**2 + 39*x - 10. Let z(k) = 36*k**2 - 40*k + 8. Calculate -4*f(a) - 5*z(a).\nAnswer: -36*a**2 + 44*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/((8512\/57)\/32).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 504 + -397. Let z = 627 - u. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8568, -8572, -8576, -8580?\n\"Answer: -4*t - 8564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*p = 439*p - 10200. Calculate the smallest common multiple of p and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -398956, -398960, -398964, -398968, -398972, -398976?\n\"Answer: -4*a - 398952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -20, 2, -2, -9, 5 in decreasing order.\nAnswer: 9, 5, 2, -2, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0 (b) -568 (c) 258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 896040 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -25 - -14 - (-1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -92. Let o be (2 - 25\/15)*507. Let c(w) = -o + 169 - z*w. Let v(l) = 15*l. Calculate c(v(u)).\nAnswer: -45*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8\/((-1904)\/7))\/((-8)\/(-272)*-4)*-8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -851071, -851080, -851089, -851098, -851107?\nAnswer: -851116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000127640947 to 7 decimal places.\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 140028.04 rounded to the nearest one thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-2*5*2)\/(sqrt(48)\/(sqrt(8)*-2) - (sqrt(384)*-1 - sqrt(384))).\nAnswer: -40*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2*(-120)\/(2 - -2). Suppose -2*q = -p - 35, d = -3*p + 6*p. Solve -3*w = w + q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 5 (c) 0.3 (d) 2 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-40))\/((-6)\/(-15)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tiniiiitiiiitttiitit. What is prob of sequence ini?\nAnswer: 11\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 - -3)*(-1 + (-18)\/(-8))*-76 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.65 + 0.05. Let a = k - 0.884. What is a rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800.58 centimeters to nanometers.\nAnswer: 8005800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38925203.\nAnswer: 38925203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let x(r) = 3*r. Let n(p) = -11*p + 5. Let j(v) = -7*v + 3. Let a(z) = -8*j(z) + 5*n(z). Let m(t) = -a(t) - x(t). Determine -2*b(o) - m(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 3, s: 4}. What is prob of picking 3 i?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-5))\/(3\/(-30)). Let y = 29 + -24. Suppose 0 = 2*a - l - 9, -y*a + 4*a + l + 6 = 0. Solve -r = -3*k - x, 4*r + 2*k - 2 = a*k for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdq when three letters picked without replacement from {b: 2, x: 1, q: 3, d: 1, f: 1, s: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23293 - 14404 = -1062*b - 2365*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82845 divided by 16569.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290300 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*o + 281 + 309 = -243 - 205 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8113 is divided by 675?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 1161\/733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1 - 3 - 1 + 3 - 2 + 5 - 1 + 0 + 3 - 4 + (-1 - 3 + 3)*(-1 + 3 - 4) - 1 - 2 + 1 - 4 + 3 - 3)*(l**5 + 3*l**5 - 2*l**5).\nAnswer: -4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -962, -2033, -3104?\n\"Answer: -1071*f + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 746\/13, 1, -1\/74 in decreasing order.\nAnswer: 746\/13, 1, -1\/74, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/7 + 1074*m**3\/7 - 42604*m**2\/7 - 179448*m - 2333232\/7 = 0 for m.\nAnswer: -18, -2, 66, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15\/364 + 151\/6188. Which is the closest to -1\/3? (a) 4 (b) -0.2 (c) 4\/5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 9a03?\nAnswer: 9a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - 2. Let l = m - -0.5. Let d = l + 2.1. Which is the smallest value? (a) -6\/11 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**2*h*t**2 + 2*g**2*t**3 + g**2*t**2 + 4*g*h*t**3 + 36*g*h*t**2 + 4*g*t**3 + 8*g*t**2 - 6*h*t**3 - h*t wrt t?\nAnswer: 12*g**2 + 24*g*h + 24*g - 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*x + 31*x - 122*x)*(-67*x + 28*x - 8*x + (-1 - 1 + 4)*(4*x - 5*x + 2*x) + 1 - x - 1).\nAnswer: 8786*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-39 + 88 + -48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2563, -2978 in descending order.\nAnswer: 2563, -3, -2978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leelleleelleel. Give prob of picking 2 l.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.3 + 7. Let l = 139.84 - 138. Let w = 1.44 - l. What is the third biggest value in q, -3, w, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/3)\/((-7)\/21*-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2) - 0) + (9078\/255 - (-65)\/(-25))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10214829?\nAnswer: 3, 23, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -3, 387, 19 in increasing order.\nAnswer: -3, 19, 88, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -11*u + 168. Let t be d(-8). Suppose 0 = -f - 5*a + 60, 0 = 3*f + 3*a - 7*a - t. What is the greatest common factor of f and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -13, 5\/2, -118?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1769*f**2 - f + 21. Is c(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -16 - (-26)\/(-2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + d + 3)*(-23*d + 38*d + 65*d) to q*d**2 + m + j*d and give q.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32373, -64748, -97123?\n\"Answer: -32375*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3665 + 65 = -5*g. Suppose 0*o = 4*o - g. What is o rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*d + 103*d + 3*r - 21 = 0, 4*d + 3*r - 36 = 0. Let c be (-48)\/(-102) + (0 - 0). Factor -c + 2\/17*n**d - 12\/17*n**2 + 18\/17*n.\nAnswer: 2*(n - 4)*(n - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 4 - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**3 - 2*z**3 + z**3 + (17*z + 26*z + 4 - 45*z)*(z**2 + 2*z**2 - z**2).\nAnswer: -6*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 0 - 4 = -u, -4 = 2*d - u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in 3, 0.3, -3.05, 1, 6\/5?\nAnswer: -3.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 11*t + 9. Let n be h(10). Let l(j) = 13*j**2 - j. Give l(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7266 is divided by 214.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 6283*w - 107*w + 88.\nAnswer: -6390*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 327136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15*0.0777\nAnswer: -1.1655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 4:21 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18442009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012111022212 - 10?\nAnswer: 1012111022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13979595 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**3\/3 - 5115*p**2 + 3875690*p - 11611720\/3 = 0.\nAnswer: -3698, 1, 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2035 and 6907197?\nAnswer: 34535985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 + 5*x**2 + 3*x - 4. Let q be b(4). Let l = -71 - q. Let g = l - 19. Solve 0 = -4*h + g - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiegggie. What is prob of picking 2 e?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.736432ml?\nAnswer: 0.008736432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7)\/(i*i\/i**7)*(i\/(i**(-5)\/i)*i)**37 assuming i is positive.\nAnswer: i**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1586120, 3172204, 4758268, 6344312, 7930336, 9516340?\nAnswer: 11102324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 7, v: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 - 55. Let t(r) = 93*r**2 + 18*r - 10. Calculate the remainder when t(2) is divided by k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 13 + 8 - 65*r.\nAnswer: -65*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -453\/5 + 90. Which is the third smallest value? (a) 0 (b) 6 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -749423\/74 + 10126. Let n = f - 6\/37. Which is the fourth biggest value? (a) -1 (b) n (c) 2\/7 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 - 22398*z - 13. Calculate d(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3487331 is divided by 85050.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3927 = -o + 991. Let z = 11841\/4 + o. What is the common denominator of (1 - 0)\/(12\/(-202)) and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2572, 5143, 7714, 10285?\n\"Answer: 2571*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -158.646992 to two decimal places.\nAnswer: -158.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*-3 + (sqrt(170)\/(sqrt(40)\/sqrt(4)) - sqrt(17)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -348, 3, -844687 in ascending order.\nAnswer: -844687, -348, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2. Let j(o) be the third derivative of -105*o**4\/2 + 184*o**2 + 4. What is a(j(i))?\nAnswer: -7938000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5146502738 to three decimal places.\nAnswer: 1.515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p**(2\/7)*p*p))**(-18\/7)\/(p\/(p\/p**1))**(1\/17))\/(((p*((p\/(p**1\/p))\/p)\/p)\/p)**(-39))**(-30\/11) assuming p is positive.\nAnswer: p**(1051489\/9163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*r = -v + 710, -5*v + r + 1168 = 0. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 3:25 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14086*l - 16163*l - 5 + 5.\nAnswer: -30249*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 17*b + 20. Let o be v(15). Does 20 divide (-156)\/(-130)*(0 + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84806, -84787, -84768?\nAnswer: -84749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12037 times 11?\nAnswer: -132407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 123*q**2 - 4*q - 3. Is k(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 12:46 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2976, 5950, 8924, 11898?\nAnswer: 14872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 101 - 4?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1486*c**2 + 36*c**2 - 1217*c**2 - 5*c. Let f be a(-15). Round f to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, u: 2}. What is prob of sequence urru?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49781679?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 13) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53651.02 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13728843 and 1037.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3, 4, 5, 6, 7?\n\"Answer: n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cigg when four letters picked without replacement from {k: 1, g: 4, i: 1, n: 4, c: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - -1.94. Let j = 52 - 56. What is the nearest to -0.1 in u, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26659679, 26659678, 26659677, 26659676?\nAnswer: 26659675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12790, -99091, -333346, -789535, -1541638, -2663635?\nAnswer: -4229506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/8656 and 81\/1168.\nAnswer: 631888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 5*a + 12, 2*a - 362 = -2*w - 354 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 618560.\nAnswer: 50103360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 223*d**6\/40 - d**5\/60 - 155*d**4\/24 - 3*d**2 - 40*d. Find the third derivative of p(j) wrt j.\nAnswer: 4014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -1 + -2 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n*n**(2\/29)))*n)*n\/(n**(2\/13)*n))\/(n**5\/n*n\/n**(-19)) assuming n is positive.\nAnswer: n**(-9509\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 48 + 4\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 821*h**3 - 57*h + 57. List the prime factors of r(1).\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 2*h - 2800836 + 2800842, -4*z + 2*h + 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 11*i**2 - 8*i + 6. Let x be b(6). Let j = x + -682\/5. Solve 2\/5*d - j*d**2 - 4\/5*d**3 + 2\/5*d**5 + 4\/5 + 4\/5*d**4 = 0 for d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*v = 326*v + 22. Solve -37 = v*c - 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 23. Let q be l(-11). Find the second derivative of -36*d + 67*d - q*d - d**2 + 6 + 6 wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 - 7*f + 1. Let t be r(3). Suppose -5*q - 5*p + 675 = 0, -2*p + 7*p - t = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/2030 and -117\/70.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2448)*-4 + (sqrt(2448) - (3 + sqrt(2448))) + 5 + 5.\nAnswer: -48*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 7:30 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880068.\nAnswer: 2, 307, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 308*q + 4619. Determine b(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(0 + 1 + -3). Suppose 5*j = 6*p - 3*p + 18, 2*j + 4*p = 28. Suppose -3*f - 9 = -j*f. Solve k + f*k = -z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.12, -2, 2, 203, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-3)\/(60\/8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57728788\/5 + 67427189369\/5840. Let g = p + -39\/584. Let f = 36589\/12 + -3051. What is the common denominator of f and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 4:07 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 1378?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 11*p + 2*p**2 - 3*p**2 as h*p**2 + f + j*p and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27190 divided by -5?\nAnswer: -5438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 119465 (base 14) in base 13?\nAnswer: 180c00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15985351.26 to the nearest one hundred thousand.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2200\/205869 - -2\/1263. Let z = -137\/2119 - o. Is z <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -6, 6, 2\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*u + 4*p + 7, 3*p - 6 = 0. Suppose -21*h = -22*h + 2. Solve -3*x - h*x = -f - 26, -2*x + 5 = u*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 862, 1392, 1892, 2356, 2778, 3152, 3472?\nAnswer: 3732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (13 - 8) + (4 - -6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 - -9 - (4 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 25*k + 35. Give u(-11).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -32, 90, -39, 0, 4 in increasing order.\nAnswer: -39, -32, 0, 4, 5, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 4*o + 5*o**4 - o**3 - 8 - 12*o**4 to the form s + d*o + u*o**4 + m*o**3 + j*o**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**4\/24 + 10*m**3\/3 - 225*m**2\/4 - 6396*m. Factor v(k).\nAnswer: (k - 5)*(k + 45)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 296 - 293. Solve -5 - 7 = -d*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 4. Let z(w) = 2*w - 3. Let p(j) = -3*u(j) - 4*z(j). Let y(d) = -d + 3. Let o(l) = -6*l + 15. Let v(x) = 6*o(x) - 30*y(x). Calculate v(p(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 2 - 4 - 3 + 5 + (-3 + 4 + 1)*(0 - 1 + 3) + 3 - 3 + 1 - 1 - 3 + 5)*(26 - 26 + 9*m) in the form p*m + d and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20542 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 4 + -1)\/((-14)\/1659). Let m = -226 - u. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12\/139, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + -1.95. Let t = 0.051 - 0.251. Let d = -58\/7 - -8. Which is the nearest to t? (a) i (b) d (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(2\/79)*g*g**(-7\/2))\/(g\/g**(-1\/5))**26 assuming g is positive.\nAnswer: g**(-25063\/790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208077, 208101, 208125, 208149, 208173, 208197?\nAnswer: 208221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/3 + 14234572*a**2\/3 - 42703723*a\/3 + 28469150\/3 = 0 for a.\nAnswer: -14234575, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 93f79 (base 16) to base 4\nAnswer: 2103331321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5751315 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7)\/t)**37*t**(-26)*t\/(t**(1\/2)*t*t))**(4\/33) assuming t is positive.\nAnswer: t**(-1294\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -0.9. Let p = -86 + 89.9. Let z = p + 0.1. Is z <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251 - -2257\/9. Let l be 33\/14*4\/(-9). Let d = l - -5\/7. What is the biggest value in d, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113866599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, 1, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 13, 4\/3, 1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 22*q + 111. Let v be c(-12). Let a be 3\/(-6)*(-19 - v). Let r = 3 + 0. Sort a, 4, r, 0 in decreasing order.\nAnswer: a, 4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 10*w - 4*x + 384 = 0, 2*x = 4*w - 728. Suppose 23*f + w = -92. Which is smaller: -90\/7 or f?\nAnswer: -90\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, s: 1, n: 14, w: 2}. What is prob of sequence mw?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus -46464323?\nAnswer: 46464323.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200022 - 10102?\nAnswer: -1210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413322.\nAnswer: 2, 3, 7, 13, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -41*d**3 - 6*d**2 + 4*d + 2. What is u(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134131 (base 5) to base 16.\nAnswer: 15a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + y - 1. Let v(o) = -13*o**3 - 5*o**2 - 2*o + 1. Let a(n) = 2*n**3. Let w(u) = 6*a(u) + v(u). What is 5*f(c) + 2*w(c)?\nAnswer: -2*c**3 + c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 751485 a multiple of 615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 5 (c) 1245 (d) 4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -50 + 53. Which is the closest to 2\/7? (a) 5 (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-21))\/(3\/(-72)*-4)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 7)*(4*d - d - d) - 2*d + 2 - 2 + (0 + 1 - 3)*(2*d - 2*d - 2*d) - d + 2*d + d in the form i + b*d and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 184 - 2*i**4 - 56 + 24*i**2 + 58*i - 2*i**3 - 53*i + 123*i - 6*i**3.\nAnswer: -2*(i - 4)*(i + 2)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 3\/8, 693.\nAnswer: -96, 3\/8, 693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 3*b**2 + 3*b - 4. Let r be i(3). Suppose r*j = -j + 252. 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 is (3 - 8) + 2 + 3 + -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 513 - -240. Suppose g - 7 = -3, -3*a + 3*g = -s. Is 41 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, z: 3}. What is prob of sequence ttzt?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + 2*g - 4. Suppose -20*o = -11*o + 18. Let y(x) = -6*x**2 - 5*x + 9. Calculate o*y(p) - 5*q(p).\nAnswer: -3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 2*l**2 - l. Let f be p(-2). Suppose -3*q - f = -5*q. Calculate the highest common factor of q and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 8) + -10 - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12201406 to the power of 1\/2, to the nearest integer?\nAnswer: 3493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-5 - 2*l + 5) - l - 2 + 2 - 2*l + 4 - 4 - l + 5*l - 3*l - 1 + 3*l + 1 + 2*l - 1 + 1 + (-2 + 0 + 3)*(-3 + 2*l + 3).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1342 and 913?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - 1)*1*16\/(-3). Calculate the highest common divisor of 32 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1185.42506 rounded to 1 dp?\nAnswer: -1185.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 8. Let k = -18 - w. Let j(x) = -x**2. Let f be j(0). Which is the smallest value? (a) f (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.76 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99449 is divided by 14196.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2985 and 404766.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81594957 + -81595379.046142. Let h = 0.150858 - s. Let a = -422 + h. What is a rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667 = -74*n - 1629 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/4 + 427*h**2\/4 + 11124*h - 58320 = 0.\nAnswer: -216, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 1\/2*d**3 - 1\/15*d**6 + 0*d**5 + 0*d**2 + 0*d**4 + 3*d + 0. Find the second derivative of y(n) wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55407 or 23904?\nAnswer: 55407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67207012.\nAnswer: 2, 23, 73, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 5. Let v(q) = -3*q + 9. Let w(p) = -9*i(p) + 5*v(p). Let z(u) be the second derivative of u**4\/6 - 2*u. Determine z(w(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*g + 3*l, 5*g - 15 - 15 = 4*l. Suppose -x - 21 = 4*k, -4*x - 24 = -g*k + 6*k. What is the remainder when 16 is divided by ((-3)\/x*6)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10269409 is divided by 1061?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 109, -5597, 6.\nAnswer: -5597, -35, 6, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11503063 or -11503066?\nAnswer: -11503063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-3) - -910) + 6. Suppose -10*k = -2*k - f. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = k. Calculate the smallest common multiple of 64 and 17802\/559 + k\/(-78)*-3.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 4. Let z be t(3). Suppose 5*m = z*m - 264. Let j be m\/33*(-3)\/2. Put j, 5, -4 in increasing order.\nAnswer: -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.63635963 rounded to three decimal places?\nAnswer: -1.636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.005, 0.4, -2, 0.2?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**4\/2 - 7*t**3\/6 + 31*t**2\/6 + 47*t\/6 + 2 = 0.\nAnswer: -4, -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 24865 - 114939 = 28646. Does 140 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g + 3*g)*(2 + 5 + 0).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 0.09. Put 2, 5, s in increasing order.\nAnswer: s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2234819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-4))\/(3\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 13*w**2 - 36*w + 485. What is n(13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7798 to 2 dps.\nAnswer: 1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28635 and 8069.\nAnswer: -231055815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -353, -2998, -10177, -24158, -47209, -81598, -129593, -193462?\n\"Answer: -378*l**3 + l**2 - 2*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 240530 + 240642 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9001568, -9001585, -9001602?\nAnswer: -9001619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -293 + 546. Suppose -3*v - 4*h = -d, 2*v - 5*h = 4*v - 178. Let k = v + 588. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.79 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111220212100 + -2012?\nAnswer: 111220210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568866.59 rounded to the nearest one hundred?\nAnswer: 2568900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0104417027 rounded to four dps?\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12, -6, -15, 5 in descending order.\nAnswer: 12, 5, -2, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 18, -2 in descending order.\nAnswer: 18, 6, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1160408 and -63\/16.\nAnswer: 2320816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w - 16*w + 37*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 18*s**2 - 7*s - 23. Let g be z(18). Let n = -150 - g. Sort 6, -4, n in decreasing order.\nAnswer: 6, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43759 equal to -151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 91*g**2 - 1823*g + 11515.\nAnswer: -(g - 5)*(g + 47)*(g + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -13468.48?\nAnswer: 13468.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -93, -133, -191, -273?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(5) - -2*sqrt(5)) + 4 - sqrt(5)) - (-3*(sqrt(125) + -2 + sqrt(125)))**2.\nAnswer: -4529 + 362*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/66 and -50\/214797.\nAnswer: 429594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-1\/2))**(-6\/11)*f**7\/f**(-3\/5))\/((f\/f**0)**(-9))**(-33) assuming f is positive.\nAnswer: f**(-15992\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + (0 - (2 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 21*m**2 - 12132*m + 20637. What is k(576)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*h = -159*h - 24. Suppose 0 = -12*n - 28 + h. Is n > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 - 1. Let j = -83908 - -672503\/8. Let w = j - 155. Which is the third smallest value? (a) 5 (b) 0.1 (c) w (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 54, -3, -4, 3, 1.\nAnswer: -4, -3, 1, 2, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*o = 314*o - 5*i + 45, 0 = -3*o - i + 21. Solve -o*p - 29 = -2*m, -65*m = -63*m - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 - -2 - (-1)\/1. Let u(r) = -140*r**3 - 2*r + 67*r**3 - 6*r**2 + 3 - 11 + 2 + 5 + 72*r**3. What is u(s)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.6023 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -0.2. Let m = -64 + 68. What is the closest to 0 in t, m, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 5570 = 1144. Let c = j + 1055. What are the prime factors of c?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.175 and -1.2.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -6 + (134 - -5). Let u = 986 - j. What are the prime factors of u?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 8. Let i be (-2)\/((-6)\/m*-1). Solve -3 = -i*u - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkbx. What is prob of sequence kx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 944*q**4\/3 + 3921*q**2\/2 + 1258*q - 1. Differentiate h(k) wrt k.\nAnswer: 7552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 0*l + 2*l + 5 - 3. Let w be g(2). What are the prime factors of (w\/(-9))\/((-4)\/66)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 12. Let c be z(-10). Solve -u + h = 5, -u - h + 7 = c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.2 (b) -5 (c) -10305733\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -61, -127, -199, -271?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 - -81. Let o = -8 + 7.5. Let c = 0 + 0. What is the biggest value in o, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 348197, 696383, 1044569?\nAnswer: 1392755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r**3 + 15*r. Let l(c) = 3*c**3 + 7*c. Let d(k) = 6*b(k) - 13*l(k). Suppose 61 = -4*o + 65. What is d(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 754*q - 748*q - 32760. Calculate the highest common factor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2523 - -3231.2523. Let n = 3231.01621 - v. What is n rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3006 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -28695 less than -192.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -151*q + 0*q**6 + q**2 + 0*q**4 + 11\/3*q**3 + 0 - 83\/42*q**7 + 0*q**5. What is the second derivative of u(w) wrt w?\nAnswer: -1660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/9 and ((-28662)\/1548)\/17 + 1.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, -0.4, -0.0365, -57.\nAnswer: -57, -0.4, -0.0365, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g - 1. Let w(z) = 49*z**3 + 2*z + 36. Let o(h) = 4*l(h) + 2*w(h). Find the first derivative of o(j) wrt j.\nAnswer: 282*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 + 124455*h**2 - 746649*h + 1119933 = 0. What is h?\nAnswer: 3, 41479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**2 + 8*z + 4. Let r(o) = -o**2 + o. Let k(s) = l(s) - 6*r(s). Let q be k(0). What is the derivative of 5*y**3 - 2*y - 2*y + q + 4*y wrt y?\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/22 and 0 - 2\/((-24)\/(-75))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1640 - 895. Suppose -3*w + f = 2*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -4*c + 46, -2*n - 4*c - 21637 = -21703 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(11) + 5 + sqrt(11)*2*-5).\nAnswer: -54*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 6*n + 7. Let o be ((-12)\/14)\/((-3)\/(-21)). What is the units digit of f(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3520407?\nAnswer: 3, 11, 107, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8758*d**2 - 17546*d**2 + 8787*d**2. Let g(i) = 524*i + 15. Give m(g(f)).\nAnswer: -274576*f**2 - 15720*f - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*q - 4325597 = 619413. 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 remainder when 6098 is divided by 1017?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.323335 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 250729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.014 - 0.992153. Round x to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5535144 - 3?\nAnswer: 5535141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 512, 1, -1, -83 in descending order.\nAnswer: 512, 1, -1, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 805546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 31*m - 21. Is p(-9) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i. Let o(r) = 144*r + 8. Let m(h) = 48*h + 3. Let b(s) = 8*m(s) - 3*o(s). Suppose -73*w + 66*w - 14 = 0. Give w*b(t) + 33*p(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 83*f**2 + 66*f + 2160. Calculate m(40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -5, 2, -14924.\nAnswer: -14924, -5, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11970978 is divided by 65415.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 49*m + 103. Let u be s(-2). Let j(k) = k**3 - 7*k**2 - k + 7. Let o be j(7). Suppose o = 2*b - 4*b + u*q + 1594, 3*q + 1586 = 2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.005? (a) 1 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/8712 and -77\/225.\nAnswer: 217800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 659058372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = 0, 0 = -6*x + 2*x + 5*l + 25. Let c = 10 - x. Solve c = p - 0*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 + -2db0e1?\nAnswer: -2db0f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-1 + -1*sqrt(468) - sqrt(468)) + (sqrt(468) + 0)*-4 + (sqrt(468) - (1 + sqrt(468))*3)*2))**2 + 5.\nAnswer: 21000*sqrt(13) + 1171230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.8 + 2.8. Sort -0.2, -2\/3, y in descending order.\nAnswer: -0.2, -2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/11 (b) 0.253 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 5*j + y - 55, -3*j - 4*y + 33 = 0. Let x(a) = -a + 13. Let f be x(j). Suppose -f*o + 7 = -7. Calculate the greatest common factor of o and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13760984929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 7, 0.80738?\nAnswer: 0.80738","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27153 (base 10) to base 15.\nAnswer: -80a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 0*i**3 - 1 - 3\/4*i**4 + 0*i - 3\/2*i**2. Find the second derivative of c(u) wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16497 + 16501. Which is greater: r or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 234*b**2 - 35*b + 183. Let o be n(6). What is o rounded to the nearest one hundred?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 729 + 270 = 0. Let s = 208 + m. List the prime factors of s.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -169373 or -677493\/4?\nAnswer: -169373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**6\/120 - 4*r**3\/3 + 2. Let m(c) be the third derivative of x(c). Let i(o) = o. Give i(m(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -481.07 - -0.28?\nAnswer: -480.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.17722l in millilitres?\nAnswer: 23177.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2913200 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1415832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 171 (c) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 665*p**5 + 3553090*p**4 + 4737127385*p**3 - 23796059720*p**2 + 19198384100*p - 143005520 = 0.\nAnswer: -2674, 1\/133, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 68*b + 70*b - 437, 4*b + 576 = 4*x. Let t be -2*(-1)\/1 - -27. Calculate the highest common factor of t and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + -4 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*b**3 + 6*b**2 - 8*b**2 + 2*b**2 + b**2.\nAnswer: 23*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k**3 - 20*k**2 + 20*k**2 + (-5*k + 2*k + 4*k)*(-2*k**2 - 3 + 3) to x + c*k + d*k**3 + r*k**2 and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r**2 - 2*r - 1. Let s be h(-1). Let x be 5\/(-15) + (-37)\/(-3). Let l = s + x. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27036, -54073, -81110, -108147, -135184?\nAnswer: -162221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 5:18 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92*-13.\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipxjrfp. What is prob of picking 2 i, 1 r, and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/((1071\/136)\/21).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10490, 20937, 31384, 41831, 52278?\n\"Answer: 10447*l + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3210719, 6421436, 9632153?\nAnswer: 12842870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**5\/60 - 29*p**4\/24 + p**3\/3 - 2*p**2 - 132*p - 2. What is f(-29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2209 - 3*o**3 + 2209 - 58*o to y*o**2 + j + u*o + p*o**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2674 - 2362 - 2*n + 45*n. What is the tens digit of c(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-24))\/((2\/8)\/1). Let l(a) = 9*a**2 + 2*a + 1. Let m be l(t). Solve m*p = 10*p + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.14 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10102537, -10102533, -10102527, -10102519, -10102509, -10102497, -10102483?\nAnswer: -10102467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/464256 and 133\/152892.\nAnswer: 63603072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a = -36*a + 192. Suppose -a*c = -6*c - 252. What is the remainder when 27 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43794129 is divided by 1485.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 765271 and 130075?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -52*v - 2 + 6*v**2 + 39*v + v**2. What are the prime factors of n(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*9205\nAnswer: -920.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Let m be (-1)\/(((-4)\/(-22))\/(-2)). Suppose 0 = -2*r + 5*g - m, -8*g + 3*g = -5*r - 5. Is f <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7\/t*t**11*t\/t**(1\/7)*(t\/(t*t**24))\/t assuming t is positive.\nAnswer: t**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 77. Solve -5*z = 3*n + 32, 1 + 3 = -4*n + v*z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**27)\/(((c*c\/(c\/(c**13\/c)))\/c)\/c)*c\/(c*c*(c*c**(-13))\/c*c)*(c*c**11)\/c assuming c is positive.\nAnswer: c**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and 0.0344?\nAnswer: 6.9656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1011 = 71*l - 230 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 37. Let n be (-5)\/2*(-8 + b). Solve 3*s - n*y = -1 - 9, 3*s + 6 = 3*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -733. Let r(d) = 2*d**2 + 3*d + 3. Let n be r(-2). Suppose -6*k - p = -n*k. Round k to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20148 - 2?\nAnswer: -20150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 23*m - 24 = -2*m, -13*m - 48 = 6*g - 8*m for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-4) + (-2)\/4 - -10. Let y(i) = i**2 + 16*i + 10. List the prime factors of y(f).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1275667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*l**2*v**2 - l**2 + l*v**2 - 111 wrt v.\nAnswer: -60*l**2*v + 2*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/428912424 and -58\/27.\nAnswer: 1286737272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1209)\/637 - 1*-2. Let y = 775\/392 - q. Which is greater: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x + 278. Let z(g) = -1020*g - 14. Give s(z(h)).\nAnswer: 1040400*h**2 + 27540*h + 460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -23*s. Let d(a) = 5*a**2 + 2*a - 4. Let q(b) = -2*b**2 + 4*b + 2. Let v(f) = d(f) + 2*q(f). Give p(v(l)).\nAnswer: -23*l**2 - 230*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(396)*-3)**2 + -1 + (sqrt(33)\/sqrt(3)*-4 - (sqrt(11) - sqrt(132)\/sqrt(12))*5)**2.\nAnswer: 128479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32442363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, -4, -2\/3, 2\/3, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + d = -d - 4, 0 = b + 2*d - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 9*g - 1. Suppose -n - 3 + 4 = 0. Let q(z) = -n - 3*z + 2 + 4*z. Let j(a) = -f(a) + 5*q(a). What is j(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -68 + 4 + 21.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1722\/1045?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -9 (b) -488 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 1)*16\/20?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 divided by -88519?\nAnswer: -662\/88519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, o: 4, y: 1, q: 2}. What is prob of picking 2 o?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -542, -1083, -1624, -2165?\n\"Answer: -541*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, -18, 95, -0.2, 1, 85?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, b: 4, c: 5, y: 1}. What is prob of picking 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = -g, -g + 3*z = -4 - 9. Suppose 2*u = 4*u. Let c(n) = 0*n + 3*n + u*n - 2*n. Let q(k) = 6*k + 2. Give g*c(v) - q(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 9*r**2 - 13. Calculate c(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, w: 2, a: 1, r: 1, l: 2}. What is prob of sequence lvl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -51. Let f be w\/20 + 1\/(-5). What is the remainder when (f + 0)*(-41)\/(-1) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(972))\/sqrt(6) + (sqrt(162) - (sqrt(162) - (1 + sqrt(162)))) + 2.\nAnswer: 3 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-4 + (3 - 3)). Let x be o - (497\/21)\/((-1)\/6). Let k = 242 - x. Calculate the greatest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvzc when four letters picked without replacement from zzvzvzzvzczzvvvzzzz.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*x - 129 + 18, -90 = -5*x + 5*g. Suppose -h + 56 = 16. What is the remainder when h is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**8\/1680 - w**7\/280 + w**6\/360 + w**5\/40 - w**4\/12 - w**3\/6 - w**2. Let y(c) be the first derivative of q(c). Factor y(t).\nAnswer: (t - 2)*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -44*a + 787. Give s(4).\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 521 - 236. What is the units digit of w - 2*((-15)\/6 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-2) + (-31 - -199).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 6*u**2\/5 - 2838816*u\/5 + 335786511744\/5 = 0.\nAnswer: 236568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4123\/68 or 60?\nAnswer: 4123\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*5\/20*(-96)\/84*(-294)\/56?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-84)\/(-700))\/(60\/25)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l*l\/(l**(-8)*l*l)))\/l)\/l*l\/(l*l**(-5))*(l**(-1\/5))**5)\/((l\/(l**(2\/9)\/l)*l**(-1\/4))\/(l**2)**47) assuming l is positive.\nAnswer: l**(3185\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (1 - -3))\/(-2 + 1). Let t = 125 - 1374\/11. Is t > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 4*c = -4. Let y be ((-5 - -2)*-1)\/c. What is the third derivative of -2*q**y + q**3 + 0*q**3 - q**2 wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66.32 - 0.012829.\nAnswer: -66.332829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, -34, -74, -120, -166?\n\"Answer: w**3 - 12*w**2 + w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + -0.2. Let p = -18916 - -19008. Do p and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - -3*sqrt(99)) + 4.\nAnswer: 4 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -40, -3, -5 in descending order.\nAnswer: 2, -3, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**3\/2 - 47*g**2\/2 - 1575*g. What is l(15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/((-4)\/16). Suppose j*f + 0*f - 2 = 0. Suppose -3*o + o + y = -11, -5*o + 32 = -4*y. Which is the closest to f? (a) o (b) -5\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1078493302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/15 - (0 + (-6)\/3). Solve -o*y + 6*m - 28 = 3*m, -5*y + 8 = 3*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r + 2*r + 4*r + (0 + 3 - 2)*(-4*r + r + 2*r) - 4*r + 2*r + 4*r + 4*r - r - r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48671 + -32946. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 314*p**2 - 18*p - 228. Let x(o) = -78*o**2 + 4*o + 57. Let s(l) = -2*a(l) - 9*x(l). Differentiate s(m) with respect to m.\nAnswer: 148*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppmpppppppmmpmpmmyp?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2512807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/315443 in -1.7, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z + 5. What is g(4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9571 + 15130. What are the prime factors of v?\nAnswer: 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, 1\/17, 1\/4, -0.39143?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2603040 and 3\/36080.\nAnswer: 106724640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 589339318*n**4 + 34806265*n wrt n?\nAnswer: 7072071816*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120.210018991 + 120.21. What is l rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -79 + 79 + (-35 + 1 - -2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 3*s + 11. Let b be -4 + 0 - (-15 + 5). Suppose 4*c = -m, 3*m + b = 5*m + 2*c. Let i be y(m). Solve 0 = -2*z + i - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*p - 5*u + 15, 12 = 3*p + 6*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {p: 2, q: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -348 + 682 - z**2 - 336 + 591*z to the form v + l*z + d*z**2 and give l.\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.121238797 to 4 dps.\nAnswer: -0.1212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*x**3 + 9 + x + 36*x**3 - 10 + 30*x**3 - 103*x**3 in the form k*x**3 + h*x + a + u*x**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, y: 2, r: 6}. What is prob of sequence nnr?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 - -1.15. Let j = l + 0.1499992. Round j to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81938610 divided by -5.\nAnswer: 16387722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z + 5. Let a(l) = 32*l - 14. Suppose -125*k = -471 - 981 + 452. What is k*v(r) + 3*a(r)?\nAnswer: 8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - 2*k**5 + 2*k**5 + (0 + 3*k**3 + 0)*(-2 + 2 + 2*k**2) + (2*k**4 - 3*k**4 + 2*k**4)*(-2*k + k - k) + 6*k**5 + 3*k**3 - 3*k**3.\nAnswer: 11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -144 and -143 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(8\/3)*b)\/(b*b**(-1\/4)))\/(b**(-20\/3)\/(b**(-2\/13)\/b)))**(12\/19) assuming b is positive.\nAnswer: b**(1315\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 12259652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l + l + 2 + 8 - 17*l**3 - 11 - 3*l**5 wrt l?\nAnswer: -60*l**3 - 102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -1\/3*d**3 + 3*d + 0 + 0*d**2. Let f(g) = -3*g. What is o(f(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 times -0.105?\nAnswer: -26.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -60821.\nAnswer: -60824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {u: 1, s: 1, w: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-21)\/(-4) - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 3*d**2 + 4*d + 5. Let z be p(-4). Let v be (-1 - (0 - z))*1. Does 9 divide 12\/7*42\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (175\/(-15) - -11) + 116\/84?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 10 = -2*l - 3*p, 5*p + 20 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(104)*-1 + sqrt(104) + -4*(2*sqrt(104) - sqrt(104)) + sqrt(104))\/(-1*(sqrt(24)\/sqrt(3) + sqrt(8))*-6).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l = -54*l + 3465. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnnn when four letters picked without replacement from {o: 1, b: 5, n: 3, r: 4}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 s, and 1 q when three letters picked without replacement from hsqesh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 4*w**2 + 2*w - 4. Let o = -7 - -12. What is the tens digit of m(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 1603 = 3*y - 4*h, -y + 2*h = 535. Let w = -465 - y. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.14 + -0.06. Let w = -1 - s. Let g = 1.298 - w. What is g rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21462.\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26202396 or -26202402?\nAnswer: -26202396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 20*v**2 - 67*v - 39. Give s(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 8853222?\nAnswer: 17706444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1956 and 857706.\nAnswer: 1715412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 - 2*b**2 + 8*b. Give l(4).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 16, 2*r = w - 6. Let y(o) = -7*o. Let m be y(r). Does 12 divide (2 - 0) + 2*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57215675 divided by -3?\nAnswer: -57215675\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + (-6 - -1 - -26 - -4)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 3, 9, -305, 0 in descending order.\nAnswer: 9, 3, 0, -4, -5, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -45, 0.4, 2\/17, 2\/9, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9847.778cm to micrometers.\nAnswer: 98477780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2858 + 11446. What is the thousands digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 8*m**2 - 13*m - 4. Let t = -3 + -3. Let q be y(t). Let a be 3\/3*-3 - -20. Solve 4*v = -5*c + 41, q*c - a + 3 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39658511 to the power of 1\/3, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28*8\/(-6) + (33 - 4048\/132)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9689 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: Suppose 2 = 5*r - 63. Suppose -38 + r = -5*q. Let y(c) = -c - 5*c + q*c. Let g(p) = -p. What is g(y(a))?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 - 52. Suppose -b - 2*v + m = 2*b, 3*b = 5*v + 40. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q*q)**(-10) assuming q is positive.\nAnswer: q**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 196\/9, -4, 4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -8a3086?\nAnswer: 8a3086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/239 and -49\/6.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17a2 (base 11) in base 15?\nAnswer: -a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143*f**3*l*x + f**3*l - f**2*x**2 - 3*f*x**2 - 272*l*x**2 wrt f.\nAnswer: -858*f*l*x + 6*f*l - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 20*x + 38. Let l be c(18). Suppose 13 = -t - 5*z, z = 3*t + l*z + 25. Let v(n) = -n**2 - 11*n - 11. Calculate v(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 1:10 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 29 - (3 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 435764 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4727 - 4754. Let z = 14 - 39. Let p = z - i. Which is the second smallest value? (a) p (b) 1 (c) 4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -9.3 (c) 18.9 (d) 1 (e) 23 (f) 50\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 6*r - 7. Let c be u(-3). Suppose 16 + 3*q**3 - 12*q**c - 30 + 12*q + 14 = 0. Calculate q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20532659 - 7505267 = 6*p. Suppose -30328590 = -5*g - 5*k, g - p = 5*k + 3894474. Suppose 0 = -11*v - 14284284 - g. Round v to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5799446776.\nAnswer: 2, 17, 179, 238229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 4:16 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 306759?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 64, 58, 52, 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r**(2\/15))\/(r**(-9)*r\/(r**(-1\/7)\/r)) assuming r is positive.\nAnswer: r**(601\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 234 - 209. Let t(z) = -v*z**2 + 6*z**2 + 12*z**2 + 6*z**2. Let a(s) = -34*s**2. Calculate t(a(j)).\nAnswer: -1156*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 8 = -28. Suppose -d*f = f - 225. Calculate the remainder when f is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53545787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 31524\/(-9656) + (-8)\/34\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 44, -35, -3, -59, -7 in descending order.\nAnswer: 44, -3, -7, -9, -35, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -17*h**8\/336 - h**6\/24 - 475*h**4\/24 + 283*h**2. What is the second derivative of i(l) wrt l?\nAnswer: -340*l**3 - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/5, 8, -2\/5237, 1.8 in increasing order.\nAnswer: -2\/5237, 0.3, 2\/5, 1.8, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53336 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 1\/3 (c) 1\/53 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*c + 4, 0*c + 6 = 3*i - 3*c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.67187g in milligrams?\nAnswer: 60671.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in 1, -14\/3, 2\/13, -20.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/36*-1*3. Suppose 0 = -3*t - 2*t. Sort t, o, -4 in ascending order.\nAnswer: -4, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2 - 1269084*b + 402643549764 = 0.\nAnswer: 634542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**3 - 4*v**3 + 0*v**2 + 2*v - 3*v - v**2. Let o be c(2). Let t be 4*(-1 + 0)*-2. Solve -o*p + t = 0, d + 16 = -0*d + 3*p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(3)*-2) + -1*sqrt(4896))\/((sqrt(20)\/sqrt(10)*3 + sqrt(2))*1).\nAnswer: -25*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 38. Suppose 2*h = 7*l - c*l - 482, 3*h + 477 = 2*l. Does 41 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14234*0.04.\nAnswer: -569.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 181*u**2*w**2 - 11*u*w**2 - 2*u + 20*w**2 wrt u.\nAnswer: 362*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5592.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -5, -9, -50, -42, -4 in decreasing order.\nAnswer: 5, -4, -5, -7, -9, -42, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - t + 27. Suppose -5*o + 6 = -t. Determine g so that 8*g**2 - 7*g**2 - 16 - g**3 + o*g**3 + 24*g - 13*g**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20.20811? (a) 0.4 (b) 1 (c) 0 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25.720695168803 - 0.5.\nAnswer: -26.220695168803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (-7 + (-7)\/(-1)). Suppose -10 = -w*r - 3. Which is bigger: r or -2\/49?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-11)*w*w*w*w**5*w*(w\/(w*w\/(w**(-19)*w)*w*w))\/(w\/((w*w**(-1\/18))\/w)) assuming w is positive.\nAnswer: w**(-19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 140491 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4312\/70 + (-2)\/(-5). What is the derivative of 79*r**4 - 36*r + f*r - 26*r + 53 wrt r?\nAnswer: 316*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 0 - 1\/2*y**2 + 1\/12*y**4 - 5\/6*y**3 - 2*y. Let x be (4 - -1)\/(5 - 4). What is c(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2477, -3, 2, -4.\nAnswer: -2477, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 237 - -14. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 2:52 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/16 + 4 - (-147)\/4. Suppose -97 = -5*d - i. What is the units digit of d + (-6 - (-1 + -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 1. Let j(m) = 2*m + 17. Let p(d) = -j(d) + 3*v(d). Let r be p(19). Solve r*g + 0*g - 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (68\/28 - 3)\/(120\/168). What is the nearest to 0 in 3, -0.2, m, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 2*p + 1. Let y be l(-5). Let h = -110\/3 + y. Is -2\/3 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 14, -0.5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -33, -53, -81, -117, -161?\n\"Answer: -4*f**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**3 + 18*o**2 + 20*o + 1. Let z(f) = -5*f**3 - 19*f**2 - 21*f. Let y(r) = -3*j(r) - 4*z(r). Is y(23) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-6)\/(-9))*(-32)\/6. Let q be (-33)\/12 + 3 + 22\/y. Suppose -14 = -2*g + h, 5*g - q - 21 = -3*h. What is the lowest common multiple of g and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010113092 to 6 decimal places.\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1266 - 1939 - 814 + 182)*(0 + b**2 + 0).\nAnswer: -3837*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117726423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 2 (c) -7 (d) 1\/10 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -82.4. Let g = j - -2.4. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 9:38 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 + 0*v + 0*v + 5 + v + v**3. Let a be n(0). Solve -5*t + 0 = a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-32)\/(-20) - 2). Suppose o + 524 = l - 368, 0 = o + b. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2017221 or -2017206?\nAnswer: -2017221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56029, -56032, -56027, -56008, -55969, -55904, -55807, -55672?\nAnswer: -55493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/13 (b) -25 (c) -3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p\/((p*p**(25\/6))\/p)*p)\/p)\/(p\/((p\/p**(-25))\/p)) assuming p is positive.\nAnswer: p**(143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(sqrt(98) - (2 + sqrt(98))))**2 + (sqrt(88) - -2*sqrt(88))\/sqrt(11) + -4.\nAnswer: -5 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*i**2 - 325*i**2 + 166*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(10\/12)\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6) + 2\/(-3). Let z(d) = -d + 6. Let f be z(5). Is f greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5555868251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 1. Let b(l) = -l**2 - 5. Let j(d) = b(d) + 3*t(d). Let n be j(2). What is the greatest common factor of 66 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -28. Let o(w) = -w**2 + 9*w - 7. Let j be o(x). Suppose -2*g = 4*u - j*g - 96, -4*u - 4*g = -132. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14448 and 1470256.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 19*v = -99. Let j(f) = 3*f - 16. Let i be j(4). Sort i, 1, v in descending order.\nAnswer: v, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/2 - 15*(-76)\/6 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*v = 1 - 10, -5*f - 21 = v. Let c be 3\/1*(f - -5). Suppose -c*h + 2 = 3*a - 1, 14 = 5*a - 4*h. Sort a, 4, -5 in decreasing order.\nAnswer: 4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 68\/68 - ((-6)\/2 - -1). Let t = 5 + -29\/6. Which is the nearest to t? (a) p (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*d + 50 = 90*d. What is the hundreds digit of (-82)\/410 + 8432\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-810)\/72*(-248)\/(-558).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -344516 and -0.2.\nAnswer: -344516.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -3)*3\/6. Let k = 48 + -44. Let j(n) = -6 - k*n**2 + 3*n**2 + 7. What is j(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**3\/3 - 316*r**2\/3 + 160*r.\nAnswer: 2*r*(r - 30)*(5*r - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -4*j + 302. Suppose 0 = 3*p + 6*b - b - j, 0 = -4*p - 2*b + 150. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/sqrt(11))\/(2*sqrt(500)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/4 - 37*t**2\/2 + 252*t = 0.\nAnswer: 0, 18, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (107 - 118) + (-4 - (1 - (5 + 7)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001001111 - -1110100011110?\nAnswer: 1011011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyzd when four letters picked without replacement from {y: 2, z: 1, d: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38970 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(6\/576) + (-3)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 31. Solve 0 = p*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16289627636.118 + 3.1.\nAnswer: -16289627633.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 2*f + 6. Does 13 divide q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 - 7*u - 2. Let m be x(-4). What is the nearest to 5 in 2\/13, m, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35299969 to the power of 1\/2, to the nearest integer?\nAnswer: 5941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -0.0193, 0.5, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 1728.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -791372*n - 5539612. Calculate w(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2490*m - 2436*m + 486 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 + -131. Suppose 5*s = -2*t - l, -14*t - 3*s = -19*t + 25. Solve -t*a + 17 = 5*g, -4*g - 3*a = 2*a - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.591 * -0.3.\nAnswer: -1.9773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 21090437 + 93097183. Suppose -2*x = -75237524 + m. What is x rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 3 + 3 - 3*y**2 - y**3 + 5*y**2. Let g be l(3). Is -5 - -7 - (-63 + g) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 201, 424, 647, 870?\n\"Answer: 223*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10587916 to 3 dps.\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 161878 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 5 (b) -0.5 (c) 1\/5 (d) 66\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 6*z + 6. Give q(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 146 - 7?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:17 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**5*y**3 + 1998*l**3*y**3 + l*y**3 - 16300*y**3 wrt l?\nAnswer: -40*l**3*y**3 + 11988*l*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3946751986 to the power of 1\/5, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -192b (base 12) in base 13?\nAnswer: -1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100594a (base 12) to base 13\nAnswer: -80b88b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/4*2*-102. Suppose 310*s - 375*s + 2730 = 0. Find the common denominator of a\/s*(-16)\/12 and -23\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5801 + -5800.5. Which is the smallest value? (a) 287 (b) u (c) -8\/7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -679 + 1009. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d - 4. Let x = 32 + -32. Determine k(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 at most as big as 231813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4) - (-243)\/2. Suppose -s = -5*l - d, 0 = 3*s + 3 + 3. Is 20\/l - (-308)\/10 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28378700 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*g + 190 = 0, 4975*k + 9 = 4977*k + g - 8 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a week in minutes?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -30*q - 7\/20*q**5 - 24 + 0*q**2 + 0*q**4 - 1\/6*q**3. Let d(c) be the first derivative of m(c). Give d(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - b + 48. Suppose -2*x - 4*f = -20, 5*f - 1 + 9 = 3*x. Suppose 3*w = w + x. Solve -w*m = m - b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 6*n - 5. Let l be -3 + (0 - n - -2). Find the second derivative of -60*f**2 + 7*f + 6*f**l + 60*f**2 wrt f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11880 by 1080.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1687115, 3374210, 5061305, 6748400?\n\"Answer: 1687095*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**5\/120 + p**4\/24 - p**3\/6 - p**2. Let o(c) be the first derivative of i(c). Let n be o(-4). Solve n*x + 12 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 187?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 14*o - 19)*(326*o - 489*o + 250*o + o**2).\nAnswer: -14*o**3 - 1218*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Suppose -w*h + 0*h = -4. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b + 28. Is 9 a factor of z(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2722973 is divided by 140.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3012 + (6 + 0 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -1\/30*s**5 - 6*s**2 + 1\/120*s**6 + 0*s + 0*s**3 - 1\/336*s**8 + 0 + 0*s**4 + 1\/105*s**7. Solve c(m) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3867400552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 36633600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2. Let v(x) = -1. Let q(j) = -35*j + 175. Let c(r) = -3*r + 16. Let n(o) = 56*c(o) - 5*q(o). Let a(p) = -n(p) - 21*v(p). What is u(a(l))?\nAnswer: -147*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*0\/(-2) + 125. Suppose 5*t - w = 30. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*f**2 - 5843*f + 393061 with respect to f.\nAnswer: 50*f - 5843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 14 = 4*v, 14 = 3*n - 3*v - 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**5\/80 - c**4\/16 - c**3\/8 + 9*c**2 - 12*c. Let l(p) be the first derivative of q(p). Factor l(o).\nAnswer: -3*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(4 - (-4)\/(96\/(-99))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -20. Suppose -l*v + 2*v = -156. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4\/8 - 129*h**3\/8 + 6537*h**2\/8 - 48759*h\/8 + 36225\/4 = 0. Calculate h.\nAnswer: -75, 2, 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.598 and -55?\nAnswer: -32.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -532, -1821, -4326, -8449?\nAnswer: -14592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67*-147.7.\nAnswer: 9895.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/34515295 and 31\/13806118?\nAnswer: 69030590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(14\/(-4)*(-26)\/(-91))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**(2\/7)*k*k*k\/(k\/(k**(-2)\/k))*k*k*k*k)**15 assuming k is positive.\nAnswer: k**(660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmtntopp. What is prob of sequence pt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/29 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.9 - -0.14?\nAnswer: -23.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 8. Let i be o(-8). Suppose -5*w - 29 = -j, 6 = 3*w - i*w. Let v = j - 27. Calculate the lowest common multiple of v and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.577 + -0.123. Let h = l + 3.1. Let z = h - -4. What is the closest to -2 in z, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 9 + 6. Let g = 5822 - 5805. Sort z, g, 3, -3 in decreasing order.\nAnswer: g, z, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -620 + -3?\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*-2*sqrt(133)*6)\/((2*-2*sqrt(56))\/(1*sqrt(8)*-3)).\nAnswer: -108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*j + 8, -3 = -7*c + 4*c. Let m(n) = -n**2 - 13*n + 60. Let b be m(4). Let x be ((-14)\/4 - j)\/(1\/b). Is x bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006467 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/883 - -323\/123620. Let g(t) be the third derivative of 0 - 1\/28*t**4 - q*t**5 + 3\/14*t**3 + 0*t + 7*t**2. Factor g(m).\nAnswer: -3*(m - 1)*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6395*l + 3*k + 22 = 6391*l, 28 = -5*l - 4*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2636232 and 6?\nAnswer: -15817392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b + 0*b**2 + 6 - 1\/3*b**3. Calculate k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 209.2 + 55.8. Let q = l + -273.74. Let s = q + 4.57. What is s rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 103*l**5\/15 + 61*l**4\/6 - 316*l**2. What is the second derivative of j(v) wrt v?\nAnswer: 824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700*n - 1559*n - 40059 - 88461 = 597*n for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 16635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + 153 - 153 - 2*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 27. Let d(y) = 33*y - 135. Let i(p) = -5*a(p) - d(p). Let x(k) = 18*k**2 + k. Determine i(x(n)).\nAnswer: -504*n**2 - 28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-10)*5572\/18109 - (-3)\/((-15)\/2)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45686503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20360 (base 13) to base 5\nAnswer: -3321312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210111112 (base 3) to base 7.\nAnswer: -63461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -6) + 7 + -9 + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3896717655 to the nearest integer?\nAnswer: 62424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**5 - 3*p**4 + 3*p**4 + (0*p**3 - 3*p**3 + p**3)*(-4*p**2 + 4*p**2 + 6*p**2) + 0*p**5 + 0*p**5 + 2*p**5 + 0*p**3 - p**5 + 0*p**3.\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.500450262499 + -0.3?\nAnswer: -0.800450262499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 111?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/52 and 55\/40990856.\nAnswer: 532881128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 335*m**2 + 5 + 440*m**2 - 4 - m**3 - 274*m**2 to the form k*m + g*m**2 + x*m**3 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 + 34*w**2 + 20*w - 18. Let b(a) = a**3 - 11*a**2 - 7*a + 6. Let r(z) = 8*b(z) + 3*n(z). Does 21 divide r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 5 - 3 + 14 - 427*n + 156*n.\nAnswer: -271*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/2 - 17\/(-34). Suppose -4*r - 2*c + 14 = -0*r, 0 = 4*r + 5*c - u. Suppose r*o + 4*f = 613, o = -3*o - 5*f + 817. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*q - 2775 = -2846, 4*t + 4*q - 144 = 0. What is the greatest common divisor of 116 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 363, 712, 1049, 1374, 1687, 1988?\n\"Answer: -6*f**2 + 367*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*o = -494*o + 248*o - 5060. What is the remainder when o is divided by 95?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -14977*k**2. Let c(a) = 182*a. Calculate b(c(d)).\nAnswer: -496098148*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + x + 3. Let d be w(0). Let l(q) = 4*q**3 - q**3 - 4*q**d + 6 + 5*q - 3*q**2. Is 13 a factor of l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45563 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 57 = 2*f - 37, 4*f - 5*t + 40 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 14*l - 77 = 0. Let k be -8 + l - 455\/(-453). Is k bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88735 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27527*t - 5 - 5 + 10 + 27526*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.57171617 - 3.57171623. Let f = 2.4 + -0.4. Let z = f + y. Round z to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 4:21 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 9:00 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 2:47 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -334 - -208. Let g = -133.1 - f. What is g rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -33.46. Let w = a - -0.46. Which is smaller: -2\/3 or w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213 + -298. Let r = -39 - o. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 18 = -0*m. Let j = m - 7. Suppose 11*f = -17*f + 140. Calculate the greatest common factor of f and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/6 less than 331917\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -6. Suppose 3*w = 4*t - 7*t - 15, t - 19 = 5*w. Let y be 1 - 3 - -5 - (136\/(-28))\/(-2). What is the fourth smallest value in s, -2, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Let s = b - -14. Let x = -27 - -180. Calculate the highest common factor of x and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -2*g**2 + 0*g + 0*g**3 - 1\/48*g**4 + 1\/120*g**5 + 0. Factor s(b).\nAnswer: b*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:26 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n + 9. Suppose 3*c - 12 = -n. Suppose -68 = -c*m + 73. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*o - 335 = 755 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75945 and 291.\nAnswer: 7366665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*d*i**3*l**2 - 235*d*i*l**3 + 16*i**3*l**3 - i**3*l**2 + 2*i**3 + 5*l**2 wrt l.\nAnswer: -1410*d*i + 96*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 50. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/5 - 2*t**2 - 17*t\/5 - 8\/5.\nAnswer: -(t + 1)**2*(t + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8705325 rounded to 3 decimal places?\nAnswer: 1.871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6144 = -2*t - o, -4*t - o = -11850 - 444. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22040 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8162 and 58023.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9856 divided by 14.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640 and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 40*t - 17*t - 11*t - 18, u + 8 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357117051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 - -107. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and 363?\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**4*r**3 + 35*f**4 + 138*f**3 + f**2*r**3 + 2*f**2*r**2 - 235*f**2*r - 2*r**3 wrt f?\nAnswer: -48*f*r**3 + 840*f + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3769 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: Which is smaller: 1 or 511?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 10 = 15*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-3))**(9\/5) assuming f is positive.\nAnswer: f**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 10 = -4*d. Let u be (-1222)\/1515 - (-6)\/15. Let g = u + 2\/303. Put -1, d, g in descending order.\nAnswer: d, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2483, 4968, 7453, 9938, 12423?\nAnswer: 14908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169275, 338829, 508383, 677937?\nAnswer: 847491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/57 smaller than 593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = -701 + 735. Put 91, -4, v, -5 in increasing order.\nAnswer: -5, -4, v, 91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h + 25. What is the remainder when 30 is divided by a(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 549931761*h.\nAnswer: 3*h*(h + 183310587)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/2 + -6 - 5. Put -3, s, 2 in ascending order.\nAnswer: -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/72*-3*3\/(-56)*-4.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 + 7 + 80894*o**2 - 80897*o**2 - 15*o + 40*o - o**4 to s + y*o**3 + d*o + m*o**4 + i*o**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -651*s - 5. What is the hundreds digit of d(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46631 is divided by 1081.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/22*1*4\/(-3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c*c\/(c\/((c\/(c**(12\/5)*c))\/c)*c))\/c)*c\/c**(-16))\/(c**(1\/23)\/(c*c*c*c**(-18)*c)) assuming c is positive.\nAnswer: c**(846\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -433\/21. Let d = 1135207039\/24 - 47284072. Let i = d - 16218. Find the common denominator of i and k.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9742 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 140442?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -4*y**3 + 0*y**2 - 148*y + 169 - 7\/4*y**4. Differentiate s(c) with respect to c.\nAnswer: -21*c**2 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*w - 15 = 0, -15 = 6*w - 9*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.74946 litres in millilitres?\nAnswer: 11749.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-19)\/((-608)\/73528) - 3\/(-12) is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -432 - -433. Find the third derivative of 148*a**6 - h + 2*a**2 + 10 + 16 + 6 wrt a.\nAnswer: 17760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 94\/(-329)*(-35)\/15. Determine v so that -4\/3 - 6*v**2 + 10\/3*v**3 - c*v**4 + 14\/3*v = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/11))**(-25) assuming l is positive.\nAnswer: l**(-50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1191 + 0.93892. Let v = -0.18 - w. What is v rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -3*o**5\/5 - 9*o**4\/4 - o**3 + 9*o**2\/2 + 6*o - 14. Factor j(y).\nAnswer: -3*(y - 1)*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1138*d + 1136*d = -4*n + 20, 5*n - 25 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = -47 + 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*i - 75398, 8*i - 10*i + 18842 = s. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*j**2 + 311*b**2*j*u**2 + 2*b**2 + 101*b*j**2 + b*j*u**2 + 3*b*u**2 + j**2 - 2 wrt b.\nAnswer: -4*j**2 + 622*j*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 w when three letters picked without replacement from {h: 1, w: 4, r: 3, s: 9, x: 2}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31377?\nAnswer: 3, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 6. List the prime factors of 14 + f\/((-3)\/6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*x + 3\/8*x**3 + 1\/8*x**4 + 1\/4*x**2.\nAnswer: x**2*(x + 1)*(x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 3*r**2 - 3*r + 4. Calculate l(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*1.7\nAnswer: 0.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*y - y + 15, 2*y = 2*z - 26. Let s be z\/7 + -3 + 1 + 1. Let r(c) = -c**3 + 3*c + 3. Let q(v) = -v**2 - v - 1. What is s*r(h) + 3*q(h)?\nAnswer: -h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6533 - -26901. What is d rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*z + 1 + 1, -4*x - z = -17. What is the common denominator of x\/(-6) + (-705)\/30 and (-994)\/14*2\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 6*o - 6. Suppose n + 4 = -2*y, n + 5*y = y - 2. Let b(p) be the third derivative of p**4\/24 + p**3\/6 - 7*p**2. What is n*b(l) - i(l)?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.4, 0.2, 10\/17, -1 in decreasing order.\nAnswer: 3\/4, 10\/17, 0.2, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1571 is divided by 99.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -30, -85, -172, -297?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 314 - 301. Sort 1\/6, 2\/19, b, 5.\nAnswer: 2\/19, 1\/6, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -2*o**3\/9 + o**2\/9 + 28*o\/9 - 86. Factor s(m).\nAnswer: -2*(m + 2)*(3*m - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b. Let p(x) = 1. Determine n(q) + 4*p(q).\nAnswer: 5*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 574b (base 13) in base 16?\nAnswer: 2fc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**4\/12 - f**3\/2 + 2*f**2 - 5*f. Let t be q(-3). What is the derivative of m**2 + 4*m**2 + 2 - t*m**2 - 4 wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 42405, 1, 3, -4, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:51 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 460*z**3 + 762672*z**2 + 316117596*z - 5497928 = 0.\nAnswer: -829, 2\/115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 + 2 = 0. Let b = u + 1. Solve 4*v = -3*z + 35, b*v = 6*z - 2*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 136416*f**2 - 1163900880*f + 13947173568.\nAnswer: -4*(f - 17046)**2*(f - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c + 8. Let s(b) = 8*b - 12. Give -6*s(i) - 14*z(i).\nAnswer: 50*i - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(153)\/((-2*sqrt(108))\/sqrt(12)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Let l(r) = -r**2 - r + 1. Let d(y) = 1 + 4*y - 6*y - 5*y - 4*y**2. Let j(q) = d(q) - 5*l(q). Calculate j(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u. Suppose 0 = -f - 3*s - 5, -f - 6*s + s - 15 = u. What is the smallest common multiple of f and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133227184 at most as big as 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2 - 983172*f + 983168 = 0.\nAnswer: 1, 245792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (33\/(-165))\/((-1)\/1795)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(128)*1)**2*4 - (-3 + -6*-5*sqrt(2))*1.\nAnswer: -30*sqrt(2) + 2051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*m + 99*m + 84 + 91*m + 129 + 680.\nAnswer: -2*m + 893","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 281*v**2 - 5674*v - 6260. Give t(259).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k - 74. Let z be n(-25). Let h be (-816)\/(-15) + 4\/(-10). Let d = h - 20. What is the greatest common divisor of d and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.7 + -17. What is the smallest value in -2, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1872) - -6*(sqrt(1872) + -1)**2 - (sqrt(1872) - (5 + sqrt(1872)*2))) + (2 + sqrt(637) + -1 + -1)**2 + -3.\nAnswer: -120*sqrt(13) + 11874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 1, j: 2, f: 1, i: 2, n: 2}. Give prob of sequence jg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -14. Let w(v) = -2 - 2 + 2*v**2 - 5*v - v**2 + 2. Calculate w(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j + 0*j)*(-5*j**3 + j - 2*j + 2*j**3).\nAnswer: -3*j**4 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, r: 1, i: 2}. Give prob of picking 1 b and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-111)\/(-1221))\/((-8)\/22).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 19*y + 45. Determine o(9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6105379517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -118 + -16 - (-2367068)\/17664\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**6\/120 + 13*r**5\/120 + 2*r**4\/3 - 3*r. Let x(g) be the third derivative of v(g). What is the derivative of x(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3775*l**4\/3 - 196294*l**3\/3 + 15412*l**2\/3 + 785176*l\/3 - 416 = 0.\nAnswer: -52, -2, 6\/3775, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 165\/(-10))*-2. Let l = f + 49. What is the highest common factor of 50 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 1. Let x be 3*(2\/(-6))\/1. Let p(g) = -5*g - 1. Let y be ((-3)\/6)\/(2\/(-4)). What is x*p(j) + y*b(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 116 = 5*m + 20, -4*m - 134 = -a. Suppose 0 = 2*g - a - 6056. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12685 a factor of 940326365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/238 and 41\/28.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3330*v = -259948 - 146312 for v.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/10*(-6)\/9)\/((-1302)\/29295).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*n = -372 - 398 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 19823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1)\/j**19*(j\/(j\/((j\/((j\/j**(8\/7))\/j))\/j)*j*j))\/(j\/(j\/((j**(1\/3)\/j)\/j))) assuming j is positive.\nAnswer: j**(-340\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 766835*n**4*q - 6*n**3*q - 3*n**2*q + 3*n*q + 452551*n + 11*q wrt n?\nAnswer: 9202020*n**2*q - 36*n*q - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4980*d + 12 + 14935*d - 4980*d - 4 - 4976*d. Suppose 0 = -m + 4*m - 48. What is u(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152 + -151.9. Let y = 0 - 0. Which is smaller: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 65 = -3*q, -4*q = -102*k + 107*k + 103. Let u = -31 - -15. Let s = u + 11. Sort k, s, -1\/5 in descending order.\nAnswer: -1\/5, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-12 - 13) + (3 - (6 - (-7 - -85))).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21021 - -12122010?\nAnswer: 12100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/27)\/(((m\/(m*((m**14*m)\/m*m*m)\/m*m*m))\/m)\/m) assuming m is positive.\nAnswer: m**(514\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 y when four letters picked without replacement from {y: 2, r: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4488 divided by 561.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (13\/26)\/(((-1044)\/(-720))\/29)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 48 = 16 - 52. Let d(i) be the third derivative of 2\/3*i**3 + 16*i**2 + 0 + 3\/5*i**5 + 0*i + 0*i**u. Find the first derivative of d(r) wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 278784\/(-102080) + 42\/15.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 5, -2\/5, -0.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + s + 1. Let y(u) = -u**3 - 2*u**2 + 2*u - 1. Let t be y(-3). Let z = 1 - t. Give m(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202012 + 2111020?\nAnswer: 1202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 - 218290*t + 11912631025 = 0. What is t?\nAnswer: 109145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 4)*(-2)\/44. Let k be (-49)\/(-14) - (4 + -2 + 0). Let i = 0.8 + -3.8. What is the biggest value in i, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*b = -2*z - 2, 2 = z - 5*b. Suppose 4*q - 4*k - 4 = 24, -5*q + 2*k = -23. Is z >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2\/7 + 68071*y\/7 - 45382\/7 = 0 for y.\nAnswer: -22691, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -208 - -283. What is the least common multiple of 9 and n?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a microgram in nanograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j - 25 = 0. Solve -5*x = 4*c + 23, 4*c + 0*x - 7 = j*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1574 and 372845.\nAnswer: 58685.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**3 + 22*o - 4. Let p be i(0). Are -125\/23 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-503504)\/112*((2 - 0) + -9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.159 + -41.659. Let o = 2.5 + p. Let c = 38.98 + o. Is 2\/11 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 77, 53, 3, -79, -199, -363, -577?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + 3 + (sqrt(52))**2 + ((sqrt(208))**2*2 - (sqrt(52)\/sqrt(4) + 1 + sqrt(13))))*1*-1.\nAnswer: -477 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9039 + 17321. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807*w - 810*w + 4 = 4*g, -5 = w - 5*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 18*t**2 - 17*t + 8. Let q be r(17). Let g be (q - 10)*(1 - 2). Suppose -5*j + 746 = -3*j + 5*u, -u = -g*j + 746. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66473855 a multiple of 4655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -66. Let t = -39.999892 - z. What is t rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -367*m - 815. Calculate u(-2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = 0, 5*c + 4*y - 233 + 166 = 0. Let x(v) be the second derivative of v**4\/12 - 5*v**3\/3 - 5*v**2 + 2*v. Calculate x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/3 - 1043636*t**2\/3 - 272292981485*t\/3 + 544590137522\/3 = 0 for t.\nAnswer: -521819, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -232 - -235. Let s(v) = 188*v - 3. Is 28 a factor of s(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 8436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -42062*l - 8. What is t(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75043076 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 66 (b) -1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-10))\/(2*(-12)\/(-270))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -46*o + 906. Determine j(22).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/80 and -1\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 15*q**7\/14 - 103*q**6\/5 + 147*q**5\/2 - 111*q**4 + 167*q**3\/2 - 33*q**2 - 255*q + 1. Let d(z) = 0. Calculate z.\nAnswer: 1\/3, 2\/5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*5\/((-15)\/(-12)). Suppose -s - 1 = 0, 4*b + b - n*s + 6 = 0. Let u(k) = k**2 + 3*k + 2. Calculate u(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**3 + 20*k**2 - 394. Let f(h) = -h**3 - 5*h**2 - 1. Calculate -4*f(y) - r(y).\nAnswer: -2*y**3 + 398","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -65e (base 16) in base 6?\nAnswer: -11314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(7\/6) + 9 + 153. Calculate the greatest common factor of w and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 364326998?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -13*p**8\/56 - p**4\/2 - 17*p. Find the third derivative of b(y) wrt y.\nAnswer: -1560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 3*v + 3. Let m be p(4). Sort -3, 5, m in ascending order.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/20 and -129\/310?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23214, 46234, 69254, 92274, 115294, 138314?\n\"Answer: 23020*w + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1338 <= -4\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)*t)**(-3)*(t*t\/(t\/t**(-8)))\/(t*t**(-7)*t) assuming t is positive.\nAnswer: t**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2572.9 to the nearest ten.\nAnswer: 2570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 999, 984, 969, 954, 939, 924?\n\"Answer: -15*t + 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 2*x + x + 2*x - 1 + 1 + (-2 - 3 + 6)*(x - 6*x - 3*x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1355 divided by 5.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmtmmmmmtmmmtmtt. Give prob of picking 1 t and 3 m.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 108\/16 + 2\/8 - 2. Suppose -q*u - p + 4 = -1, -5*u - 5 = -p. Suppose u = 22*w - 25*w + 354. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 798668.\nAnswer: 798668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*f + 2*g, 0*f + 16 = f + 5*g. Let a = f - 9. What is t in -2\/5 - 3\/5*t - 1\/5*t**a = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = i + 7. Suppose -4*z - 5*r + i = -3*z, 4*r - 14 = -2*z. Which is the second smallest value? (a) -27 (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.46 - -0.7. Let q = -0.04 + t. Which is the second biggest value? (a) 1 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2314 + 4001020?\nAnswer: 3443201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15894 and 297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 693, 1389, 2085, 2781, 3477, 4173?\nAnswer: 4869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1776253490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -2*o - 31 - 47 + 44, -895 = -5*o + 110*w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -579019 divided by -457?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:56 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/18 and -49\/5031.\nAnswer: 10062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 16, -2, 4 in decreasing order.\nAnswer: 16, 12, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -54134 <= -54027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 20*f**2 + 17*f - 26. What is y(-19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3 - b**3 + 430*b**5 - 19*b**2 - 414*b**5 wrt b.\nAnswer: 960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -644628 (base 10) in base 16?\nAnswer: -9d614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**3 - 4050 + 66*w**2 + 54*w**2 + 43038*w - 44073*w = 0.\nAnswer: -30, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m. Let d(j) = 99201*j**2. Calculate c(d(y)).\nAnswer: 694407*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**5\/10 - 5*d**4\/12 + 15*d. Let m(r) = -2*r**3 + 6*r**2. Let n be (-28)\/6 - 2\/6. Calculate n*m(c) - 6*q(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhqha. What is prob of sequence qb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from fnk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 352661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 8. Let h be b(4). Solve 2*y + 2*y = -2*o, -2*y + 4*o = h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 7 = -4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1504)\/210 - -2)*5\/4. Let l = b + 37\/6. Put 1\/3, l, -3 in decreasing order.\nAnswer: 1\/3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 347827664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -538100 rounded to the nearest ten thousand?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - ((11 - -4 - 13) + -8).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -61664.922 to the nearest one thousand.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1349904.655 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = -4*q + 3*c - 29, 15*q = -4*q - 38*q + c - 341 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (114 - 6) + -34 + (-8 - 10) + 35\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/35))\/y*y*y\/y**(-4\/5)*y assuming y is positive.\nAnswer: y**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 3*p**2 + 5*p + 4. Let y be k(-4). Are y and -16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 7 = 9*t. Let i(j) = 252*j - 41. Is i(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 0, 3 in decreasing order.\nAnswer: 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4182 and 10.\nAnswer: 20910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*t + 61 = 0, -46 = -2*m + 5*t - 12. Let a = -16 + m. What is the smallest common multiple of a and (-30)\/(-5) + -3 - -1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 378355696*b**2*s**2 + 2*b*s**2 - 391*b*s - 3*s**2 - 10*s + 1183 wrt b.\nAnswer: 756711392*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**6\/60 + k**3\/6 + k**2\/2 - k. Let r(h) be the first derivative of l(h). What is the derivative of r(f) wrt f?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 968340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.215863 hours in seconds?\nAnswer: 18777.1068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(4*m + m - 3*m) - m + 0*m + 2*m - 3*m + 3*m - m + m + 0*m + 2*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 825 - 687. Calculate the remainder when 475 is divided by x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1 - -12) + (-21 + 32 - 16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 15*d + 44. Give n(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 497 = 2*u - 7657, -16307 = -4*w - 5*u. Let k = -81461\/20 + w. What is the common denominator of k and -35\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 124300447 to the power of 1\/2, to the nearest integer?\nAnswer: 11149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41201 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(-2\/9)\/b)*b*b\/b**9*(b*b*b**(-11)*b*b)\/(b**5*b) assuming b is positive.\nAnswer: b**(-160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkkpzkbjpj. Give prob of picking 1 j, 2 p, and 1 b.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2. Let n(m) = 17*m**2 + 11*m + 11. Let b(w) = -6*w**2 - 4*w - 4. Let v(y) = 11*b(y) + 4*n(y). What is v(k(x))?\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 smaller than 640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 437 and 483.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -5. Is f - (-1281)\/12 - 12\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**2 + 7*h**2 + 4*h**2 + 7*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 8 + -7 + 6. Sort -3, -4, -1\/4, h.\nAnswer: -4, -3, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + (-2)\/(-6). Let s(j) = 2*j - 2. Let h be s(2). Suppose -u = u - h. Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-304784)\/(-67336))\/((-1)\/19)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103\/3 - 34. Suppose 2*m = -2*m + 20. Suppose -2*a - 3*t = -6*t - 10, 0 = -a + 2*t + 7. Sort m, a, r in descending order.\nAnswer: m, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -932511224*x**2 - 565080812*x.\nAnswer: -1865022448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39635151*c**3 + 11690274?\nAnswer: 118905453*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 15*n**2 + 18*n + 56. Is d(-5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 623, 633, 643?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/24 - 6*i**2. Let h = -1 - -3. Suppose h*u - 7*u = -25. Determine j(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160812 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -15 + (-1 - -14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1918 and 355378?\nAnswer: 2487646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 2 - (-221)\/1. Is (12\/(-18))\/((-4)\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**3*w)\/(w*w**(-3\/5)))\/(((w*w**(-2\/9)\/w*w)\/w*w*w)\/(w\/w**(4\/9))))\/(w**(-3\/11)\/w**(1\/4))**(12\/11) assuming w is positive.\nAnswer: w**(26942\/5445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 388295.08 rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u + 262. Give g(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/4 - 1\/(-4). Let t = -7.91 - -84.31. Let o = t - 76. What is the nearest to o in 2, 1\/9, z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 + 15*v**2 + 10*v**2.\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110110 - -111110010001111?\nAnswer: 111011010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 8*j + 0 - 12 = 0, -9*t + 4*t + 2*j + 16 - 36 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 8 = 4*w. Let x = w + 0. Let s be 2*-2*15\/(-12). What is the third smallest value in x, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 4*m + 5 + 23, -4*a + 7*m = 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 = 2*s, -2*s - 5*q + 4 = -s. Let w be 72\/15*50\/s. Solve -58*b**2 - 86*b**3 - 10*b - w*b**4 - 2 - 7*b**5 + 0 - 9*b**5 - 8*b = 0.\nAnswer: -1, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 6) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 320*x**2 + 33*x - 119. Let k be u(3). Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 1. Let t be u\/(-8) + (-3)\/(-84). Let h(v) = v + 1. Let d be h(2). Which is the closest to t? (a) -0.3 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmsmwmkkkmmwwsmbxb. Give prob of picking 3 m.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 5*k - k + 3 - 3 + k + (4 - 2 - 4)*(-2*k - 2*k + 3*k) - 17*k - 11*k - 30*k.\nAnswer: -51*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/1543 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/135*-2)\/(6*(-6)\/20)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157 - -236. Let h = p - -18. List the prime factors of h.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 5*s**4 + 0*s**4 + 0*s**4 + 2*s**3.\nAnswer: s**3*(s + 1)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/18)\/((-9)\/(-12102)). Suppose 3*a + 3*v - 666 = 0, 2*v + 0 + 6 = 0. Let u = b - a. Find the common denominator of u and 44\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 142*-1*134\/(-268)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*t = -0*t, 3*p = 4*t - 5. Solve p*n - 17 = -3*m, -5*n + 21 = -m + 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -5. Let w = -124 - -126. Put b, w, -4 in descending order.\nAnswer: w, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(1*sqrt(5) + -4)**2*6 - (2*sqrt(5)*2 - (sqrt(45)*-2)**2)).\nAnswer: -451 + 236*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6790 - 9737 + 3064 + 999 = 304*p for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, k: 3, h: 3}. Give prob of sequence hh.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*28.48\nAnswer: -0.8544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 9. Let q(f) = -f**2 + 10*f - 5. Let o be q(8). Let j = 5 - o. Let l be a(j). Calculate the highest common factor of l and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (186\/(-21) + 4\/1). Which is the third biggest value? (a) x (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*o = 349*o - 800 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4*o - 2*c + 24, 0 = 5*o + 5*c - 20 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2401563 and -4.\nAnswer: -2401567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2416 and -0.925396.\nAnswer: -1.166996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1339348 is divided by 556.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 833, 29, 30 in increasing order.\nAnswer: 4, 29, 30, 833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b**2 + 25 - 28*b**2 - 7 + 20.\nAnswer: 9*b**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 11. Let g be 1\/j + (-1 - -2). Suppose -w - g*p + 0*p + 327 = 0, w = 3*p + 347. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2538358 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -233, -265, -297, -329, -361?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49003920 by -270.\nAnswer: -181496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -272\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/995386 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 - 486 = -11*p. List the prime factors of p.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 664*x**2 - 6.\nAnswer: 664*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = 2*j. Suppose h - j*h = 0. Suppose n + n + 2*i - 20 = h, -4*n + 5*i - 5 = 0. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3057 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*w**2 + 942*w**5 - 12*w**3 - 8*w**3 - 940*w**5 wrt w?\nAnswer: 120*w**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1288 (base 12) to base 9.\nAnswer: -2815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -426 - -427. Let w be (49 + -47)*(j - 5). Which is smaller: w or -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56038 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 9.8. Which is the smallest value? (a) w (b) 0.6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 11:04 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/5)\/(3\/(-1035)). Let o(j) = j**2 - 22*j - 116. Let b be o(27). Let w = q - b. Calculate the remainder when w is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) 0.4 (c) -0.1 (d) -2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**3*r + 20704829*n**3 + 51*n**2*r - 16729*n*r wrt r?\nAnswer: -2*n**3 + 51*n**2 - 16729*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - -19a?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/28630 and 17\/358284.\nAnswer: 12539940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -43*r**2\/2 - r + 3. What is the remainder when j(-1) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-1)\/(-2) - (-497)\/71. Let b(t) = 3*t**2 + 0*t - k*t + 6*t - 2*t**2 - 2*t. What is b(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 16, o: 4}. What is prob of picking 1 o and 1 v?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, u: 9}. What is prob of picking 2 e?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*l - 5132 = -0*l - 21*l + 376 for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 51*p. Let x be ((-3)\/(-2))\/((-1)\/14). Let k(f) = -5*f. Let u(r) = x*k(r) - 2*b(r). Let y(l) = 2 + 2*l - 2. Determine u(y(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7605 + -7603. Let k(u) = 13*u**3 - 5*u + 5. Let b(g) be the second derivative of -7*g**5\/20 + g**3\/3 - g**2 - 7*g. What is l*k(x) + 5*b(x)?\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2046)\/1705*(-40)\/36.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**2 + 2*x - 1 - 1\/6*x**3. Let c(p) be the first derivative of v(p). What is the derivative of c(m) wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94454122 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, d: 6, m: 7}. What is prob of sequence dx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e6 - 5?\nAnswer: -eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**2\/5 - 23757*d\/5 - 11165544 = 0.\nAnswer: -1896, 9815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 2*o**3 - 18*o**2 - 18*o.\nAnswer: 2*o*(o - 3)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178141, 178046, 177957, 177874?\nAnswer: 177797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 4*l + 1. Suppose -2*x - 2*x + 8 = 0. Let s(q) = -2*q + 0*q**2 + 3 + 11*q + 2*q**2 + q**2. Give x*s(m) - 5*c(m).\nAnswer: m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 20 (c) -0.5 (d) 68001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*v)*(v**3 + 3*v**2 - 3*v**2) + 2*v**2 + v**4 - 2*v**2 + (11 - 11 + v)*(-2*v**3 + 0*v**3 + v**3).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 125*p**2 + 1150*p + 34. Give t(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33571.6894*5.\nAnswer: 167858.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c + -92?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 64*n**2 + 2*n + 55. Let o be j(-32). What is the hundreds digit of (-3 - o)\/((-4)\/(-304))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 107, 246, 443, 698, 1011?\n\"Answer: 29*j**2 - 6*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/109253 and -27\/11?\nAnswer: 1201783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-14*12\/16*-12. What is the highest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*l - 9 = 18, u + 2*l + 7 = 0. Suppose m - u = 1. Suppose 3*o = m*s - 54000, -5*o - 27000 = -s - s. What is s rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1988, 7959, 17912, 31847, 49764?\nAnswer: 71663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(936)*2)\/sqrt(2)*-3)**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-108)\/(-135) + (-1603)\/110)\/(3\/(-6)). Let o be (-4197)\/132 - 2\/6. Let q = z + o. What is the common denominator of -17\/5 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.007? (a) -5 (b) 0.2 (c) -49814\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135.7 - -8.3. Let p = -144.5 + b. Let q = 3.3 - 0.3. What is the closest to 12 in q, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = y - 27784, -5*y - o + 128859 = -10097. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) 5383936 (c) 5 (d) 0.2 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 228*z**4 - 119*z**4 - 136*z**4 + (7 - 7 - 10*z**3 + (0*z + 0*z + z)*(0*z**2 - z**2 + 2*z**2) - 3*z**3 - z**3 + 2*z**3)*(z + z - z).\nAnswer: -38*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.969 + 1.969. Put 2\/5, o, -0.24 in decreasing order.\nAnswer: 2\/5, -0.24, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166144 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - 3*z + 3*z)*(1 - 1 - 3*z**3 + (0*z - z + 0*z)*(-3 + 3 + 2*z**2) - z**3 - z**2 + z**2) to l*z + s*z**4 + m + c*z**3 + u*z**2 and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxnnxnxxnxdxdd. What is prob of sequence dd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22847798 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 9. Let v = 10 + d. Let n be -1*2*v\/(-4). Which is greater: 1\/5 or n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cf + -1?\nAnswer: ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + -1 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87 (base 9) to base 15.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 1, a: 2, i: 1}. What is prob of sequence ip?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150184?\nAnswer: 2, 18773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 455 = -0*j. Let x = j - -159. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -1523.\nAnswer: -14\/1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-105)\/(-10))\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**3 - 9*q**2 - 5*q - 1. Let y be u(-4). Let n = y - -384. Let h = -13.95 - -14. What is the nearest to 1 in h, 2\/3, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7546393 kilograms to milligrams.\nAnswer: 754639.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 7419 and 7420 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/170 and 13\/238?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6725.967 and 3627986.\nAnswer: 3634711.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3092 and 2948?\nAnswer: 2278804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 11772, 2\/11 in decreasing order.\nAnswer: 11772, 2\/3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029.7701ns in minutes?\nAnswer: 0.000000017162835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4118130.3 rounded to the nearest 1000?\nAnswer: -4118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -29?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + p**2 + 22*p**3 + 12*p**3.\nAnswer: 34*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 210111002112?\nAnswer: -210111002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239 (base 11) to base 13.\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -6. What is the closest to 1 in 0.1, q, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25734888383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2184801.\nAnswer: 3, 728267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 2*q + 2. Let f(x) = 13*x + 106. Let v be f(-8). Let n(b) = -b + 1. Determine v*n(y) - a(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*u + 831 = -1465. Calculate the remainder when 4958 is divided by u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 919948? (a) -0.2 (b) 5\/4 (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(2\/13)*h)\/h*h))\/(h**0\/h))\/(h**2)**(2\/33) assuming h is positive.\nAnswer: h**(311\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 740160608303 and -0.6.\nAnswer: 740160608302.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 13*x + 94. Determine c(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8874074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48613200, -97226398, -145839596, -194452794, -243065992, -291679190?\nAnswer: -340292388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 61, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 + -12 + 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(12 - 16 + 9)*(-27*d + 31*d - 46*d).\nAnswer: 210*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1218\/(-87)*(-18)\/189.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 45. Let l be b(-31). Let j(w) = 13*w + 2. Let c be j(9). Calculate the highest common factor of c and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/12*1704\/(-497) - -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, m: 1, j: 4, o: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w. Let r be s(0). Suppose y - 49 + 11 = r. Let a = 104 + -47. What is the highest common divisor of y and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 216 + -232.9. Let o = w + 54.4. Let m = o - 37.500000773. What is m rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5061 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 12*z**2 + 11*z + 6. Let l be t(11). What is the biggest value in 1\/3, 4\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:44 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*w = 22, 3*w - 3 = 4*k - 0*w. Suppose -z + 5*a = 4*z - 200, 0 = -4*z - 5*a + 205. Calculate the greatest common factor of z and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20370 or 20365?\nAnswer: 20370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 1638 = 5*s. Let v = -356 - s. List the prime factors of v.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + -160. Let m = 5840.2 + -5647.113. Let t = m + v. Round t to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2986+358714237\nAnswer: 358711251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*r + q, r + 3*q = 5*r - 44. Suppose 0*i - 3*i = t - r, 2*i + 6 = 2*t. Is (1382 + -3)\/(i\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 160 + 3?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 12:47 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1467*p - 2941*p + 3601*p**2 + 1474*p.\nAnswer: 3601*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14*u + 134. Give a(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5346681 equal to -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 4*q**2 - 14*q - 9. Let k be 20\/3*3*22\/(-55). Let v be b(k). Let h = -414 - v. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.54, -1\/4, 4, -0.5, -0.1?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1088 (base 10) to base 6\nAnswer: 5012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -65 (b) 0.5 (c) -0.1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10 = -5*p, 1 + 7 = 4*p - 5*h. Suppose 14 = -3*q + 2*o - p, -3*q + 5*o = 13. Let s(w) = w**3 + 5*w**2 - 8*w - 7. What are the prime factors of s(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 49*j - 530. Let f be t(30). Solve -121*l = -129*l - f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(36\/6))\/(-4)*30 - -6. Let k = 8 + 2. Sort 1.7, w, k, 2 in descending order.\nAnswer: k, 2, 1.7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 986 - 116?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -714.2885 to 0 dps.\nAnswer: -714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -24106, 0, 4 in descending order.\nAnswer: 4, 0, -24106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6029792 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**6\/10 - j**2 + 2*j - 2. Let r(m) be the first derivative of d(m). Differentiate r(x) with respect to x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0499285 - 1\nAnswer: -1.0499285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from kjkkkkjjzkkkjkkjkkkk?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v. Let i(f) be the first derivative of 5 - 13\/2*f**2 + 0*f - 1\/6*f**4 + 0*f**3. Let g(q) be the second derivative of i(q). Calculate g(d(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97797498 divided by -958799.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -24. Let t = 0.7 - 0.5. Let q = t + -2.2. Put q, a, -3\/5 in increasing order.\nAnswer: q, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5960 and 1800?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-7))\/(-8))\/(16\/(-14)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(63)*2 + 4)*3)**2.\nAnswer: 2160*sqrt(7) + 12060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-179 - -205) + 1 + -16 + -27 - 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g - 2*g**2 + 4*g**2 - g**2 + g**2 to the form s + h*g + w*g**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3\/201302 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 155 + 150 - 305.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 48 - (-2 - 3 - -3)) + -2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/((-2)\/(-24)). Find the first derivative of 12*z**h - 12 - 31*z**4 + 6*z**4 wrt z.\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/60 - n**5\/15 + n**4\/8 + 2*n**2. Let d be r(2). What is the highest common divisor of d and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -373 - -373.4. Which is the second smallest value? (a) s (b) 0 (c) 2\/3 (d) 8.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d = -50. Let h be (-8)\/d + (-58)\/(-10). Put 0, 4, -8, h in ascending order.\nAnswer: -8, 0, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1236 * -253.\nAnswer: -284.2708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 5. Let m be r(-7). Solve i = 3*p + m, 5*p + 5*i = 4*p - 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8593.064 meters to nanometers.\nAnswer: 8593064000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 732, 719, 692, 645, 572?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 800510 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 1\/15*u**6 + 15*u + 3\/2*u**2 + 0*u**3 + 0 + 0*u**5 + 0*u**4. What is the first derivative of s(d) wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, z: 6}. Give prob of sequence zl.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/5)*d)*d**4\/d)\/(d*d**(2\/7)*d*d**(-6)*d) assuming d is positive.\nAnswer: d**(214\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42999 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 21*q - 5. Let m = 10 + -1. Let u = m - 5. Is d(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472910.\nAnswer: 2, 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**3 + 10*u**2 - 43*u + 456. Is g(14) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4868864146 and -292.6.\nAnswer: 4868863853.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 560, 836, 1110?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 15*g + 4. What is the units digit of u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 59. Let j = t + 17. What is the lowest common multiple of 84 and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttixitxttxx. What is prob of picking 1 x and 2 i?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 - 3*r + 2. Let u be -1*(-1)\/(6\/(-6)). Let q(v) = v**2. What is u*c(n) + 5*q(n)?\nAnswer: -n**2 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102202002212 - -2?\nAnswer: 102202002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 1. Let r(y) = 6*y - 17. Suppose -15*h = 32*h - 188. Give h*v(q) - r(q).\nAnswer: -2*q + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Suppose 4 = -l*u + 10. Suppose 0 = -0*f + u*f - 62. What is the remainder when f is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(162) + 1*(-3 + sqrt(162)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/8*(-2)\/(-20))\/((-10)\/280).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoko when four letters picked without replacement from uuokoouououoouuouoo?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11473 and 8239?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-227)\/(-9) - 4\/18. Let x(k) = k**3 + k + 10. Let p be x(0). What is the greatest common factor of p and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26321716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f - 3680 + 752 = 141*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/8 + d + 2.\nAnswer: (d + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -186 in -0.2, -1, -0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Let a = v + -1. Is 13 a factor of 3\/(a + 2) - -25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -10*a - 3. Let c(p) = 19*p + 5. Let t(k) = 6*c(k) + 11*z(k). Let i be t(3). Suppose 0*h = -3*h + i. Solve -l = 1 + h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -404, -2, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4548 and 1966631.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 + -224204152?\nAnswer: -224204042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 288900 a multiple of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1084839 + 543796 + 541043 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4292\/86305 + -2\/2105. What is the nearest to 0 in -0.5, -2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 6*d = 2128. Calculate the lowest common multiple of d and 11.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6171*l - 7375?\nAnswer: -6171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 291 + -230. Suppose -m*b + 69*b - 2360 = 0. Which is smaller: 294 or b?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 124. What are the prime factors of (-153900)\/b - (1 + (-27)\/21)?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 2*u + 19 = 0, g + 13 = 2*u - 7*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29809011 is divided by 14904504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -103*x + 2. Let s be h(-4). Let b = -177 + s. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 3:27 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 33, 0.1, 0.016, 49, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -8. Calculate the least common multiple of y and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - m - 11 + 24 = 0, 4*x - 4*m = 44. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 4:48 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 + (-1)\/(-10). Let n = -0.029 - 0.051. Sort -4, j, n.\nAnswer: -4, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*g**2 - 25*g**5 + 2*g**2 + 23*g**5 + 4 - 1 - 2 + 47*g**6 wrt g?\nAnswer: 5640*g**3 - 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -10. Let w = -67 + 79. Suppose -d + 6*d = 2*a + 13, 7 = 3*d - a. What is the closest to d in -0.4, v, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -3, -0.3, 14.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1235 - z**2 + 1235.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5850*s**4 + 120*s**3 - 871010*s - 46 wrt s?\nAnswer: -70200*s**2 + 720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4 = 3*g - c, 2*g = -c - 1. Let r be (13\/(-39))\/(g - 11210\/(-11211)). Suppose 0 = a - 3*h - r + 789, a = -h + 2960. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-1) - (-3 + 7). Let t be (u - 1)\/(5\/(-1)). Let w = -269\/119 + 36\/17. Which is the closest to w? (a) -0.1 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -464981*h - 1859899. Calculate d(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9387.3 + -9394. Round q to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 20 = -3*m + 5*a, -5*a = -4*m + 68. Suppose m*l = 8*l + 156. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31.172 and 184.5.\nAnswer: 5751.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 15. Suppose -24*z + 21*z - 6 = -p, -3*z + 3*p - 18 = 0. What is y(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -0.16, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 74*h**2 + 12*h + 69. Let z be y(-4). Let b = -803 + z. List the prime factors of b.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b\/(b*b**(1\/2)*b))\/b*b*b\/b**(2\/25)*(b*(b**(1\/6)*b)\/b*b)**(-42) assuming b is positive.\nAnswer: b**(-4529\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1390324?\nAnswer: 2, 13, 26737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 20*u + 215. Give n(-12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1451041300 + 0?\nAnswer: 1451041300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 524 - 422. Let a = g + -102.0332. Round a to three decimal places.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4184 = -5*u + u, -m = 0. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6200, 12422, 18642, 24860, 31076, 37290, 43502?\n\"Answer: -n**2 + 6225*n - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 4)*(1 + 1). Let r be (-7)\/(1\/(5 + v)). Let l be (-10)\/35 + (-16)\/r. Is 2\/3 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 2)*6*-1. Let a = h - 4. Factor 2*o + 2 + o**2 - 2*o**a - 3*o.\nAnswer: -(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2 + 21*l + 16. What are the prime factors of u(-7)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37960)\/(-106288))\/((-90)\/4)?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from tccctcccctttcc.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + sqrt(18)\/sqrt(81).\nAnswer: 25*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2055180 and 720.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 150 - -4300412?\nAnswer: 4300562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**0)\/(x\/(x\/(x**(4\/5)*x)))*((x\/x**3*x)\/x)\/(x*x**(-5)))**(-2\/157) assuming x is positive.\nAnswer: x**(-12\/785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83849326207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(1008) - (1*sqrt(1008) + -5)) + sqrt(1008) - sqrt(1008)) + (sqrt(1008) - ((sqrt(1008) - -5*sqrt(1008)*1) + sqrt(1008) + sqrt(1008))))**2*-2.\nAnswer: -98834 + 1680*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 16 + 6. Suppose -l = -o*l + 16. List the prime factors of 1\/(5 - l)*56.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 6*j - 21 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + d = 152, 3*h - d = -3*d + 87. Solve 2*s - h + 37 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304 and 352?\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 1413*l**2 + 10038*l.\nAnswer: -3*l*(l - 478)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 733297.5ms in seconds?\nAnswer: 733.2975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 430 - -cb17?\nAnswer: d047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14170585 and 26?\nAnswer: 28341170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -44919 (base 11) in base 12?\nAnswer: -31745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:07 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -445\/4 + 2333\/20. Calculate the common denominator of -39\/10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, v: 7, h: 1, p: 5}. Give prob of picking 2 p and 2 j.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 1\/6*t**3 + 1\/20*t**5 - 1\/12*t**4 + 5\/2*t**2 + 2*t + 2. Let d(c) be the first derivative of h(c). What is d(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*r + 10*r + 9*r + 1792. What is the highest common divisor of r and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0382222096 to four dps.\nAnswer: -0.0382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3. Suppose j*t + 5 = t + 2*o, 8 = -4*t - o. Let l(q) be the second derivative of -q**4\/12 - q**3\/3 - 4*q. What is l(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 3)*(-17*h + 16*h - 11*h)*(-2*h - 5*h + h) to f*h**2 + p*h + g and give f.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from {r: 4, u: 2, f: 1, b: 4, s: 8}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x - 5*a - 3, 0 = -5*a + 5. Let k be (-7)\/8 + x\/8. Is 1 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 4*i**6\/5 - 39*i**5\/5 + 129*i**4\/8 - 45*i**3\/4 + 3283*i. Factor p(x).\nAnswer: 3*x*(x - 5)*(4*x - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8*v*v**(1\/6))**(3\/2) assuming v is positive.\nAnswer: v**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -14\/15*w**6 + 0*w**4 - 1\/2*w**3 + 0 + 0*w - 1\/2*w**5 - 137*w**2. Find the third derivative of r(z) wrt z.\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -8\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.531983693 to 4 dps.\nAnswer: -0.532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-15) + (-9)\/(-45) + 13\/(-15). Suppose 6 = 2*x - 4*x. Let o = x + 5. Solve -s + 3*u + 10 = z, 0*s - 2*s + o*u + 8 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3382169035.\nAnswer: 5, 7, 991, 97511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/(3\/(-18)). Find g, given that 2*g + 119*g**3 + 24*g**r + 5*g - 115*g**3 + 29*g = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u + 4. Give l(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1445612.61407 + 0.053\nAnswer: -1445612.56107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*y - 54*y = -15. Suppose 0 = -3*w - 5*j + 1115, 0 = -y*j + 5 + 15. List the prime factors of w.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 406, 411, 418, 427, 438, 451?\n\"Answer: f**2 + 2*f + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 3:12 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2259 divided by -2022.\nAnswer: 753\/674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = d, -6*d + 12 = -3*d. Suppose -24 = -b*t - t. Suppose -10*x + t = -6*x. Solve -k - 3 = x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 divided by 138889?\nAnswer: 629\/138889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1209*b - 112 = -1237*b. What is the closest to 2\/21 in -0.04, b, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 13. Suppose y = 3*p - 1. Let q be (p - -2)\/(6\/26). Solve -3*a - m = -3 + q, 20 = -2*a - 4*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.612 in 1, -0.1, -3\/4, 59, 2, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 79000 = -2*w. Round w to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-15)\/q)\/(q**(-1\/22)*q))\/(q**(-4\/7)\/q**9))**(-2\/5) assuming q is positive.\nAnswer: q**(1137\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1 = -7. Let n(z) = z**j - 5 - z + 1 + 3. Let q = 63 + -63. Give n(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*420\/(-6370))\/((-184)\/28)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1257180 and -91\/2598172.\nAnswer: 38972580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 38*r + 14. Suppose d = a - 11, 3*a + 2*a - 59 = d. Let z be g(a). Round z to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4098 = -2*k - 4090 + 8195, -19*m = k - 0*k - 21 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-15)*6 - (-1 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84*u - 8867*u**3 + 8801*u**3 - 256*u to the form y + k*u**3 + m*u**2 + i*u and give k.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 13*x - 40. Let v be m(-6). Suppose 0 = -v*t + 5*d, -3*d = -6*t + 5*t + 1. Put -2, t, -4 in ascending order.\nAnswer: t, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8601481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(84)*-2*-4)\/(sqrt(108)*-2) + 3.\nAnswer: -4*sqrt(7)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 1:59 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17917 = 18*f - 207691. What are the prime factors of f?\nAnswer: 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112043*r**6 + r**4 - 210*r**2 + 162*r - 3.\nAnswer: 13445160*r**3 + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6724 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 316.1149 millennia?\nAnswer: 3161.149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 977.3+1550259800\nAnswer: 1550260777.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 3105?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-20 - (37 - 35 - (-4 - -2))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 21 = -7*t. Put 5, -3, t in increasing order.\nAnswer: -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275832 and 79347672.\nAnswer: 238043016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77525401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1672\/8 + 2 + -1. What is the greatest common divisor of 980 and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*g + 6 + 30 - 34*g - 28*g - 11*g to z*g + u and give z.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3737 divided by -2532.\nAnswer: 3737\/2532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -1\/41 (c) -1436\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3504*s + 68653 - 1197 + 47487 = 9823 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 3*a + 2*a. Find the common denominator of -109\/10 and a\/4*91\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 2 + 1 - 1)*(-145 - 279 - 133).\nAnswer: -3899*i + 1114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let k(p) = 9*p + 1. Calculate 2*c(h) + k(h).\nAnswer: 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*n - 29*n + 19*n)*(1 + 4 - 6).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(30\/(-3)))\/(34\/34)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + a**4)*(1 + 54*a - 1)*(2 + 0 + 0).\nAnswer: 108*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 16*c**3 - 3*c**2 + 2. Let i be w(1). Let b = i + -15. Let g be (b + 0)*(9\/3)\/3. Solve -2*z - 8 = g, -2*z + 2 = 3*a + 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139.2536 + -0.3464. Let p = 194 - 54. Let j = p + h. Which is the smallest value? (a) j (b) -0.17 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 5, 38, -2\/9, 1, -3?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 - 79. What is the lowest common multiple of q and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284\/568*(10\/125 + -5 + (-11885)\/125).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 2405?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3124233 is divided by 2443?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 10:57 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 996 + -396. Round g to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 12*s - 15. Let p be q(7). Let f(z) = -z**2 + 19*z + 20. Let x be f(20). Let k = -1 - -1. Solve x*y - 5*y - p = k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2888c - -5?\nAnswer: 28893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzwu when four letters picked without replacement from {w: 1, z: 2, s: 1, p: 1, u: 1, i: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 3*a. Let m be w(4). Let f be 18\/m*8\/(-12). Solve 2*o = b - 4, 2*b - f*b = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 5*a**4\/4 - 2*a**3\/3 + 2*a**2 - 4*a - 9. Let c(p) = 4*p**3 - p**2 + 3*p - 3. Calculate -4*c(y) + 3*g(y).\nAnswer: -y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 4*j = -9*q - 8, 55*j = 5*q + 65 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-710)\/(-45) + (-4)\/(-18). Suppose -u = -3*i - i. Let s be i\/(-14) - 90\/(-21). Solve 0 = 3*d - s*t - 9, -2*d + 1 + 5 = -4*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2. Let u(x) = 1117205*x**2 + 178*x + 2. Give u(a(n)).\nAnswer: 1117205*n**4 + 178*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -1\/4 (c) 105 (d) 95 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ppcrdd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 3*a. Let y(d) = -d**3 + 9*d**2 - 9*d + 11. Let p be y(8). Suppose 0 = -s + p - a. Solve -2*l - 11 = 3*w, 8*w - s*w = l - 27 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187841?\nAnswer: 23, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1312207238?\nAnswer: 2, 656103619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/13 or 262\/3?\nAnswer: 262\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 divided by 104113?\nAnswer: 131\/104113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 132 = -26*g, -13*z - 22*z + 34*z - 12 = g for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 210 - 150. Let t = u - 34. Let x = -25.951 + t. Round x to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64744 by 1125.\nAnswer: -64744\/1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * -0.5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 23. Differentiate 6*l**4 - 3 + 0*l**3 + 7*l**g - 7*l**3 with respect to l.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -33322212212?\nAnswer: 33322212223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)\/p**(-1))**(2\/9) assuming p is positive.\nAnswer: p**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (44 + -41)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/40*(-170)\/(-2)*4\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfml when four letters picked without replacement from {l: 11, f: 1, m: 3}.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0111962765 rounded to 4 decimal places?\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 28\/2*((-48)\/14 - -6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11022*z + 9*z**5 + 1709*z**5 + 3591*z + 321*z**5 wrt z.\nAnswer: 40780*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2723 and ((-49)\/2)\/((-1260)\/2160)?\nAnswer: 16338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 431 - 431. Let t(x) = 2*x**2 - 53*x + 4. Let b be t(v). Suppose -4*w + 45 = -5*c, 2*c - 5 = -4*w - c. Solve b*l - 9 = 8*l + w*k, 5*k + 7 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u - 2. Let s(q) = -7*q + 5. Suppose t = -5*c - 3*t + 8, 0 = c + 5*t + 11. What is c*s(a) + 9*h(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -106 - 9*p**2 + 106 + (-5*p + 4*p + 3*p)*(0 + 0 - p) + 3*p**2 - p**2 + 0*p**2 as u*p**2 + y + s*p and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**6\/30 + d**5\/15 + 8*d**4 - 49*d**2 + d. What is the second derivative of p(g) wrt g?\nAnswer: -24*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b3 (base 12) to base 11\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2413 (base 5) to base 12.\nAnswer: 25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + i = -v - 20, -24*v + 29*v + 145 = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 1. Let f(w) = -102*w**3 + 10*w + 5. Determine -20*a(b) + 4*f(b).\nAnswer: -408*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 0. Let j = m + 12. Solve -w + j = -4*u, 2*u - 4*w = -w + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5605 and 13014810?\nAnswer: 5605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from zvzzzzvzzvzzzz?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4 + 199*z**3 + 588*z**2 = 0?\nAnswer: -196, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m**3 + 591*m**2 + m - 24485?\nAnswer: 6*m**2 + 1182*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8767373 - 8767373 - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h, 4*y - 132 = -2*h. Let b = y - -179. What are the prime factors of b?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 104750317?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1309*m**4 + 1307*m**4 - 2*m**2 + m - 2*m - 3 in the form i*m + g*m**2 + h*m**3 + s + k*m**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - p**2 - 6 + 9 + p**3 - 2. Let x(l) = 8*l**3 - 5*l**2 + 6*l + 5. Give x(n) - 5*y(n).\nAnswer: 3*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from paarraaaurrrupp. Give prob of picking 1 a and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqq. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13289\/5 - 2668. Let u = -4543 + 36419\/8. What is the common denominator of l and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/58537530 and 113\/18.\nAnswer: 58537530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -59639 and -59635 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8 - 2\/8. Suppose -4*t - 120 = 60. Let w be t\/(-6) - (-3)\/(-6). Sort v, -3, w in decreasing order.\nAnswer: w, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75982090783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 - 0.41. Suppose -4*t + 6 = -2*l - 2, 6 = 3*t - 5*l. Which is the second smallest value? (a) t (b) -5 (c) 0 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10.454 in 5, 4, 2, -0.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b**2 - 19*b**2 - 16*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/((-33150)\/(-3213)))\/((-18)\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32*-25982282\nAnswer: -831433024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 6 (b) 0.5 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 276*w + 280*w - 18 = 0, -w = -4*a + 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 7 = -x, 3*x = -4*l + 5*x + 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 1)*((-2*j + 5*j - 2*j)*(26 - 64 + 22) + 2*j + 9*j - 2*j) in the form q + o*j and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-123)*636\/(-1272).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-5) - (16\/10 - 1). Let o be -10*(-5)\/10 - (h - -2). What is the second derivative of -68*c + 53*c - 16*c**o - c**4 wrt c?\nAnswer: -204*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 13. Let l(v) = -102*v**2 - 12*v + 80. Calculate -l(s) - 6*q(s).\nAnswer: 96*s**2 + 12*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 6, -2 = -w - 5*l - 1. Let d be -2 + ((-96)\/w)\/4. Suppose -3*b - 4 = -4*o, 3*b + 2 = -2*b + 2*o. Do b and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -14*g**3 - 32*g**2 + 11. Suppose -3*o - 45 = 6. Let q(d) = 5*d**3 + 11*d**2 - 4. Let s(k) = o*q(k) - 6*v(k). Determine s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1175 - -307.9175. Let d = p + -306. Which is the closest to 2? (a) d (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (0 - -1)) + 5. Suppose 0 = -4*m - f + 16, y*f = -0*f + 8. Solve -x - 8 = m*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1333, 2734, 4135?\nAnswer: 5536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 108*v - 45. Determine f(1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - (4 - (-2156)\/(-21)). Let l = y - 81. Suppose -5*u + 351 = 111. What is the least common multiple of l and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 0)\/(9\/93). Suppose 2*p - c = 80 - g, -4*p = c - 95. Find the common denominator of -65\/4 and 225\/p*12\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 5*d**2 - 4*d - 1. Let t be o(3). Suppose -99 + 24 = -t*b. Do b and 15 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7600 - 7600 - 11022*o**3 + 48718*o**3.\nAnswer: 37696*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*x = 12*x + 8415. Calculate the highest common divisor of 153 and x.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2 + 2364844*h - 699060893042 = 0.\nAnswer: 591211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-536)\/(-56) + -40 + 31.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 - -115.9. Let r = 0.1 + u. Let k = 10 + r. Which is the second smallest value? (a) 4\/5 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-22)\/((-5280)\/36).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 28. Let d = j - 18. Suppose -6*m - 4 = d*y - 4*m, -5*m - 10 = -5*y. Solve -4*s = -2*h + 15 + 7, -5*s + 4*h - 29 = y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.049, -0.6, 102, -25, 16, 0.5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(2\/(-4)). Let f(q) = 4*q**2 - 4. Does 19 divide f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (770\/(-15))\/(1344\/(-1728))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Let k be 2*(9\/3 + a). Calculate the highest common divisor of 24 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/130 and -5\/3.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 990399293 to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0 (b) -0.01 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 105 = 4*h. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3 = -2*w + 6*w, 3 = -3*w + 4*b. Suppose -x + w*x = -2. Suppose v = 6 - 1. Put 3, v, x in ascending order.\nAnswer: x, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -5. Let s = 3 + d. Suppose 3*c = 5*c + s*z - 12, 5*c - 42 = -4*z. What is the lowest common multiple of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/7? (a) -2\/469 (b) 5 (c) 57 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-187)*11)\/(1\/9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + 24 + -7)\/(1\/11). Let y = j + -105. Sort 5, -1, y, -2 in descending order.\nAnswer: 5, -1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136950 (base 11) in base 5?\nAnswer: -23322404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*a + 1041 - 365. Let h(p) = -p**3 - 11*p**2 - 2*p - 27. What is the units digit of h(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 228\/(-342) - (-814)\/6. Let x be (-12)\/10*(-100)\/8. Calculate the greatest common factor of x and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -218 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, -5, -106\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*t**4 + 141068*t**3 + 13*t**2 + 198466 wrt t?\nAnswer: -312*t + 846408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 372480\/72*2*15\/20 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 41, -1 in ascending order.\nAnswer: -1, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25052667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10 - 12)*6*(-123129)\/36.\nAnswer: 3, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1648 - 155*f + 23*f + 3293 - 1645.\nAnswer: -132*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1641*y - 3474. Is m(-10) a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/46361 and -103\/26492.\nAnswer: 185444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 9:06 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/33 - 71\/165. Let y = -153\/2 - -78. Let t = 0.5 - 0.5. What is the nearest to b in t, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*d*d*d**(3\/5)*(d*d**(-4)*d)\/(d\/(d\/(d*d**5))))\/((d**(1\/4)\/(d*d\/(d**(-2\/3)\/d*d)*d*d*d))\/(d**(4\/7)\/(d\/(d*d**(1\/7))))) assuming d is positive.\nAnswer: d**(2827\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*u = 0, -6*u = 4*c - 2*u. Suppose c = 2*i + 2*i. Solve -3*p - 31 = -5*x, i = 2*x - 5*p - 14 - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2610 < -2610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-148)\/222)\/((-7)\/12)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2342942.\nAnswer: 2, 7, 113, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(1078\/(-7))*131\/(-655)\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 78*w + 22. Let h(c) = 372*c + 112. Let q(p) = 4*h(p) - 19*n(p). What is q(3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1772, -4\/7, 3\/5, 0.4 in ascending order.\nAnswer: -1772, -4\/7, 0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/5)\/(33\/110). Let q(t) = -t**3 - 4*t**2 - 3*t + 5. Let g be q(-3). Which is greater: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507742867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9770 and 740?\nAnswer: 722980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.9 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 2*r**3 + 0*r**2 - 2 - 7*r**4 + 12*r**4 - 12*r**4 to the form k*r**2 + d*r + h*r**4 + u*r**3 + l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2350 is divided by 387?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yynvvnyyyvynny. What is prob of sequence nyyv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -84?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 28*y - 26. Let n be q(-9). Let b = n + -34. List the prime factors of b.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -4*r + r**2 - 3 + 2\/3*r**3. Let l(k) = 2*k**2 + 2*k - 3. Suppose 5*m - n - 28 = 0, 3 = 4*n - 5*n. Give m*l(w) - 4*i(w).\nAnswer: 2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-15))\/((-46)\/230).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Suppose -5*q - r - 30 = -b*r, -3*r = -15. Sort -2, q, 5 in decreasing order.\nAnswer: 5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698590 + 349239 + b + 349246.\nAnswer: b - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 5330.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(-1)\/28*(1060\/(-120) + 10). Sort 3, 0.2, x, 5, -3 in descending order.\nAnswer: 5, 3, x, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 0, 1\/22.\nAnswer: -5, -2, 0, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -228 - -233. Suppose 4*o - 144 - 32 = 4*f, -56 = -o - k*f. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -22.4. Let s = 11.21 + -25.21. What is the nearest to 0.1 in d, s, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 567.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*k**4*r**3 + 6*k**4*r - 9960*k**3 - 787*k**2*r + k*r**3 + 5*k*r**2 - 78*k - 2*r**3 + r**2 wrt k?\nAnswer: -192*k*r**3 + 144*k*r - 59760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1908, 1907, 1906?\n\"Answer: -c + 1909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, u: 8, h: 1, s: 2, x: 4, d: 2}. Give prob of picking 2 u.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -280aa1?\nAnswer: -280aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -15*s + 92. Let d be i(18). Let f be 2 - (-8)\/(-16)*d. Do f and 92 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 88.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5485 is divided by 900?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 10*d**2 + d - 8. Let k be v(10). Solve -k*r - 5 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 66 = -0*s + 2*s, 5*g + 63 = 4*s. List the prime factors of (-2 - g)\/(3\/12).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + -6*sqrt(77)*1)\/((sqrt(11) + 1*sqrt(11))*1 - sqrt(11)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*n - 5777, -3*n + 3*p + 2806 + 2966 = 0. What are the prime factors of n?\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4555 + 4554.9. Let l = 0.05 - 0.35. Which is the closest to r? (a) -8 (b) l (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -131 + 131*y**4 + 117 - 962 - y with respect to y.\nAnswer: 524*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h**2 - 6*h. Let l(z) = z**2 - 6*z + 5. Let r be l(6). Let g be y(r). Suppose g = 4*m + m. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**8\/20160 - j**7\/3780 - j**6\/2160 + j**4\/12 - j. Let a(l) be the third derivative of f(l). Let a(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12112952961 to three dps.\nAnswer: 0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5557 rounded to two decimal places?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 1415*j**8\/168 + 1315*j**4\/12 - 102*j**2. Find the second derivative of o(r) wrt r.\nAnswer: 56600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*l + 440 = 88, o = 3*l + 88. Calculate the remainder when o is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -45924233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -5 + (4 - (4 + 2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3205*c + 927*c - 2168*c = 186732 for c.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b = -28*b - 15. Sort -2, -54, b in decreasing order.\nAnswer: -2, b, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-24) - (-33)\/(-44).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/((sqrt(245)\/sqrt(5))\/sqrt(7)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**3\/3 + 1604*a**2 - 6400*a + 19184\/3 = 0.\nAnswer: 2, 1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4082 and 10784958?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2678136161.\nAnswer: 37021, 72341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6499, -11657, -16791, -21889, -26939, -31929?\n\"Answer: 2*f**3 - 5172*f - 1329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1397188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41437398, -82874794, -124312190, -165749586, -207186982, -248624378?\nAnswer: -290061774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1913 - 2001) + -3 + 101.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 + 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.2, 3, -15.5 in descending order.\nAnswer: 4, 3, -0.2, -15.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19962 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-64)\/18)\/(-16) - (-26)\/45. What is the smallest value in a, 3, -5\/4, 23?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4 + 91*n**3 + 1807*n**2 - 8451*n + 6552 = 0. Calculate n.\nAnswer: -56, -39, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from naannannnnnhanaxn. Give prob of picking 1 x, 1 h, and 2 n.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82*o + 86*o + 2*o**3 - 3*o**3 + (-8*o + 7*o - 1 - o)*(2*o - 2*o**2 - 2*o).\nAnswer: 3*o**3 + 2*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/35)\/4)\/(17\/((-2890)\/68))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*q = 10, 4*q + 7 = 3*s - 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/34? (a) 2 (b) 4\/7 (c) -4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3333\/2 - 9337\/6. Which is smaller: 110 or t?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3762 divided by -171\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**3 - 3*g + 1. Let k(p) = 11*p**3 + 5*p - 1. Determine -5*a(o) - 3*k(o).\nAnswer: -3*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*a - 24 = 0, 4*r - a - 18 = -0*a. Suppose -4*k + 6 = s, -2*k - 46 + r = -2*s. What is the remainder when 51 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21392179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -42.8. Let k = c - 3. Round k to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, v: 13, m: 4}. What is prob of picking 1 v and 1 m?\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*h - h + 4, 0 = 3*h - y + 1. Suppose -u = -4*n - 18, 5*u + 3*n + 6 = -n. Which is greater: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 1:47 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.147 - -5.647. Which is the nearest to 1? (a) 107 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzt. Give prob of picking 1 d and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12*k**3 + 69*k**2 - 587*k - 10. Does 19 divide o(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -3. Let d = -4.1 - q. Let g = -2 + d. Round g to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*h**2 + 52*h**2 + 17*h**2.\nAnswer: -137*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -8477 (b) -0.625 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -3, 11, 0 in ascending order.\nAnswer: -3, -2, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + r**2 - r**2)*(3*r - 22*r - 1 - 50*r + (-3 + 2 - 1)*(-6*r + r + 4*r) + r + 1 - 1).\nAnswer: 198*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9993982699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*x**2 - 6*x**2 - 4*x**3 - 6*x**3 - 6*x**2 wrt x?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/233 (b) 7 (c) 0.37 (d) -0.03 (e) 0.2 (f) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/6 - -200)*(-207717 + -88). Round s to the nearest one hundred thousand.\nAnswer: -41600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3719 in 8, 0.016, -4, -1, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4230.308 meters to centimeters.\nAnswer: 423030.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197 - 98. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39661090 divided by 809410\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**2 - 3*w + 4*w + 2*w**2 + 1 - 3692*w**3 + 2.\nAnswer: -3692*w**3 - 4*w**2 + w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -6) + (-20 - -9 - 2) + -2 + 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4325.9980081 + 0.328?\nAnswer: 4326.3260081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32 + 28 - 30*i + i**2 + 3 wrt i.\nAnswer: 2*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + 19. Suppose 3*c - 51 = -5*g + 57, 5*c - 5*g = 140. Let j = o - c. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 201687 and 12.\nAnswer: 806748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1287, 2588, 3903, 5232, 6575?\nAnswer: 7932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3087 and 70497.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 8, -2, -22, 85 in increasing order.\nAnswer: -22, -16, -2, 8, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -318351703*y**2*z**2 + 1140432*y*z**2 - 40*y wrt y.\nAnswer: -636703406*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 8*y = 4*t - 4*y - 14 - 38, -2*y + 28 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + 1 + sqrt(7) + (sqrt(21)\/sqrt(3))**2*6.\nAnswer: 4*sqrt(7) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*d + 18 = 0, d - 4 + 0 = -h. Suppose -m + 3*o - 1717 = 0, -h*m + o - 4002 = 4541. What is m rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1575)*-1 + sqrt(63))\/(sqrt(9) + sqrt(27)\/(sqrt(15)\/sqrt(5))) - -3*sqrt(42)\/(sqrt(6)*5)*2.\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20769 + -20768.3669. What is u rounded to 2 dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ollo. What is prob of picking 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 28. What is g(9)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(-6))\/(-6 + 16734\/2790)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (50 - 47) + (-1 - 1). Let i(c) = c**3. Let a(q) = 9*q**4 - q**3 - q - 64. Let r(t) = f*i(t) + a(t). Find the first derivative of r(m) wrt m.\nAnswer: 36*m**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -508\/7 - -73. Let s = 1.5 + 0.5. Let z = -19 - -325\/17. Which is the second smallest value? (a) s (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 2*g + 24. Let q be t(-4). Suppose 13*y + 12480 = -q*y. What is y rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 - 6*s - 8. Let b be y(4). Suppose -4*o + b - 4 = 0. What are the prime factors of 1\/(o*4\/660)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -15.0015. What is l rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, x: 5, n: 12}. What is prob of picking 2 x?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -0.4. Let r = 15 + -10. Let u be 11 + (8736\/60)\/(-14). Which is the closest to d? (a) -4 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800*z + a = -805*z + 5, z + 2*a + 8 = -a + a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/76 and -87\/20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-3\/8))\/(i\/((i*i*(i*i**(-8))\/i*i)\/i)*i*i)*i\/(i*i**(-9)*i)*i**(-9)\/i)\/(((i\/(i**0*i))\/i**(1\/8))\/(i**(-5)*i*i*i**(-7\/4)\/i)) assuming i is positive.\nAnswer: i**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((435\/(-609))\/(4\/7))\/((-3)\/156).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 1190*g**2 - 40251*g - 1678. Determine x(-559).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 13*s**8\/3360 - s**6\/720 - 4*s**5\/15 + 7*s**4\/12 - 9*s. Let y(d) be the third derivative of z(d). Differentiate y(r) wrt r.\nAnswer: 78*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 57305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/7*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 7*z**4\/24 - z**3\/3 - 6*z**2. Let v be o(3). Suppose -2*r + 3*r = v. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117486613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.027 + 2.057. Let l = r - 1.83. Which is the closest to l? (a) -3 (b) -0.08 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -883, -1956, -3035, -4126, -5235, -6368, -7531, -8730?\nAnswer: -9971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (3 - (5 + (-8 - (-15 - -8)))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 243\/30 - 2\/20. Calculate the remainder when (3 - (9 - c)) + (0 - -20) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 441 + 5333332?\nAnswer: 5334213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -268 + 139. Let g = y - -133. Let a(s) = s**2 - 5*s + 1. Give a(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 664 and 3480?\nAnswer: 288840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 5:01 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -54\/1947209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2297*n**5 - 232*n**3 - 14*n**2 + 9*n - 481 wrt n?\nAnswer: -137820*n**2 - 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vspy when four letters picked without replacement from {s: 1, v: 2, p: 2, y: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12832 - 4891 = 2121*a + 107628 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n + 1084*n**2 - 1047*n**2 + 5*n. Let x(l) = -16*l**2. Calculate x(y(t)).\nAnswer: -21904*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.03 (b) 27875 (c) 2 (d) -0.5 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -48aeda (base 16) to base 14\nAnswer: -8bdcb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 62 + 23 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53215529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 4, -9, -1, 2, -5 in decreasing order.\nAnswer: 4, 2, -1, -5, -9, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301993 is divided by 150463?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 67*a + 516. What is the thousands digit of k(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -m - 4, 7*x - 2*x = -2*m + 6. Solve -x*w = -3*p + 10, 7*w - 4*w - p + 15 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119354228*-2.\nAnswer: 238708456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Let c(h) = h**3 - 5*h**2 + 4*h - 1. Let n(m) = 4*m. Let d be n(1). Let p be c(d). Is g not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a6a (base 13) to base 12.\nAnswer: 4a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 42*g - 90. Let w be (99 + -3)\/(-8)*(4 + -1). Is 7 a factor of d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, y: 1, p: 2, b: 1, e: 1, h: 1}. What is prob of sequence yhe?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 70.66771um?\nAnswer: 70667.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 1:47 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 2:11 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.055 (b) -3 (c) -22 (d) -2\/3 (e) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807*o = 743*o + 832 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -422458, -3, -4\/21 in ascending order.\nAnswer: -422458, -3, -4\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -5, -9564 in increasing order.\nAnswer: -9564, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c. Let w be o(-1). Suppose -2*z = -z - 4. Suppose 0 = -r + z + 2. Solve 10 = -w*h - r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4298774090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/39813 and 20\/27.\nAnswer: 358317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -437, -784, -1147, -1532, -1945, -2392?\nAnswer: -2879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11032 + 0?\nAnswer: 11032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1 + (-2 + 5 - 1)*(-1 + 0 + 2) - 1 + 1 + 26 + (-4 + 2 + 0)*(2 - 4 + 4) + 1 - 4 + 1 + 1 - 3 + 4)*(5*u + 3*u + 2*u).\nAnswer: 220*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -4, 0.22, 5, -0.22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364242 divided by 498.\nAnswer: -60707\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**5 - 5668*i**4 - 236152*i**3 + 241824*i**2 = 0.\nAnswer: -1374, -44, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12856333577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11543 less than 11542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1214 and -8499.\nAnswer: -1031.7786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r*r*r**(-19\/5))\/r))**(1\/2)*(r*r**(7\/2)\/r*r*r)\/r*r\/r**25 assuming r is positive.\nAnswer: r**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -22*j**2 + 192*j + 10591. What is l(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.04 + -0.04. Let z = 438.4 + -404.4. Which is the second biggest value? (a) 3\/4 (b) z (c) w (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {l: 2, u: 10, x: 1, t: 1}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.08 - -16. Let u = -0.11 - n. Round u to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.784338 months?\nAnswer: 0.0000653615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 126.45\nAnswer: 12.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a**(-2\/13))\/(a\/a**(-13)))\/(a**15\/(a**1\/a)))**(-23) assuming a is positive.\nAnswer: a**(7820\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 116 = 3*i + l, 3*i - 140 = 5*l. Suppose 3*k = 0, 5*k + i = 2*r + 2*r. Let q = r + -5. Which is bigger: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(-2*sqrt(2) - sqrt(2)) - sqrt(192)*-5 - (-1*(sqrt(12) + sqrt(1728)) + 5))**2.\nAnswer: -1970*sqrt(3)\/3 + 38884\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 898*u**5 - 17*u**4 + 3*u**3 + 1733*u**2 - 39*u - 2 wrt u.\nAnswer: 53880*u**2 - 408*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12758)\/(-14) - 18\/42. Let x = 190867\/210 - i. Calculate the common denominator of (1\/6)\/((-6)\/16) and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(((-110)\/8 - 8)\/3 - -4). Let p(o) = -8*o + 114. Calculate p(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 22*q - 10. Let p be x(-10). Let w be -1 + (p\/135)\/((-2)\/3). Which is the second smallest value? (a) -2\/11 (b) w (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 452. Let a(z) = -2*z + 900. Determine 6*a(d) - 13*k(d).\nAnswer: d - 476","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, -169\/149, -0.2, -3, 86.9, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/13 + 1 - (-57)\/117.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -133 in decreasing order.\nAnswer: 2, -3, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3348111, -3348158, -3348207, -3348258, -3348311, -3348366?\n\"Answer: -v**2 - 44*v - 3348066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89 and 24?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 75083 divided by -2\nAnswer: -75083\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168453392 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4303.\nAnswer: 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2087519 to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 79*n - 575. Give j(-68).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**4*s + f*s + 369*f - 47*s - 9 wrt f?\nAnswer: 4*f**3*s + s + 369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.8+4764\nAnswer: 4764.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*q - 9*q + 14*q - 48*q to k + j*q and give j.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11338, 31830, 52322, 72814, 93306?\nAnswer: 113798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 19. Let a be m(-14). Suppose -a*z + 4234 = -1981. Let t = z - 876. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 5. Let z be (-19)\/7 - ((-26)\/7 + 4). Let t be o(z). Let f be 4 + -2 - -6 - 4\/1. Solve t - 17 = -f*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 4*w**2 + 5*w. Let c be u(-5). Suppose c = d - 1, -g - 2*d = -3*g + 30. Is 15 a factor of (2 + g + -1)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 6*n**2 + 5*n + 2. Let t be s(-5). Let a = 11159 + -11157. Solve -t*v - a = -0*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -34, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4 - 0)*(-22)\/44?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3764 - 1?\nAnswer: -3765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -243.7 + 244. Which is the nearest to u? (a) -2\/3 (b) 0.31 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o - 10*o + 49*o = 39990. Calculate the remainder when o is divided by 141.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**6\/300 - w**5\/150 + 5*w**3\/6 - 17*w**2. Let q(x) be the first derivative of h(x). Factor q(j).\nAnswer: 2*j*(3*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -429\/14 + 372\/7. Suppose 0*u + 3*u = 4*o + 19, -3*u = 3*o + 9. What is the common denominator of q and (-1104)\/135 + o\/(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*z**3 + 29\/2*z + 10 + 5*z**2 = 0. What is z?\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 351835104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-6))\/(3\/9). Suppose s*c - h = 15, 1 + 14 = -c + 4*h. Suppose -c*y = 0, 4*r - 36 = -4*y - 4. What is the greatest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + 11.1. Let r = h - 15. Let t = r - -4. What is the closest to -0.1 in 0.5, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38284817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 13*h - 10. Let l be u(14). Suppose -l*k - 19 = -q, 5*q - 149 = 2*k - 0*k. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 14*g - 26. Let a be n(-12). Let l be a\/(-3)*(-20)\/8. What is the nearest to 1 in 5, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2)*2\/(-3). Let b = -10 - -10.5. Sort 0.3, j, b.\nAnswer: 0.3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 8*s - 5. Let t = 96 + -94. Let w be l(t). Let v(z) = 22*z + 5. What is the tens digit of v(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2010102000 (base 3) to base 12\nAnswer: 20276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 - 20*c + 20*c)*(-1 - 1 + 1) + c + 6555*c**2 + 1 + 3*c**3 + 2 - 6548*c**2.\nAnswer: 7*c**3 + 7*c**2 + c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -342 - -1718. Calculate the highest common divisor of 48 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/28 in -2\/11, 4, 698?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d176 + 8?\nAnswer: d17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*m**4 + 4*c*m**3 + c*m - 4*c + 4*m**4 - 2*m**3 + 45*m**2 wrt m?\nAnswer: -48*c*m + 24*c + 96*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -8470*g**3\/3 + 4699*g**2\/2 + 6965. Find the second derivative of a(y) wrt y.\nAnswer: -16940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) + (-68)\/(-10). Suppose y = -m + 1. Let j be (-8)\/m*1*-9. Is j greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*t - 32 = 0, j = 1685828*t - 1685831*t - 37 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13457 + 113280191.\nAnswer: 113293648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45185\/3 or 15061?\nAnswer: 45185\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 19. What is the second derivative of 3 - 5 + l + 18*n**3 + 15*n wrt n?\nAnswer: 108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5197 - 5192. Let l(q) be the third derivative of 0 - 1\/100*q**u + 0*q**3 + 0*q + 13*q**2 + 1\/40*q**4. Factor l(y).\nAnswer: -3*y*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.062 + -0.062. Sort 9\/13, -0.4, s in descending order.\nAnswer: s, 9\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2342 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 42319*p**2 + 85*p + 293. Is x(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 = -r. Let i be -3 - (3 + r)*1. Sort i, 0, 2 in increasing order.\nAnswer: i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1046, -1047, -1048, -1049, -1050?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b**3*g*t**3 - b**3*g*t + b**2*t - 79*b*g*t**3 - b*t**2 + 222*g*t**2 wrt t.\nAnswer: 54*b**3*g - 474*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412640824 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8221*g - 24672*g + 8224*g + 8224*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2206*v - 1096*v - 1114*v + 4.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 34.1. Let c = 2.4 + k. Let b = 11 - 7. What is the nearest to 0.1 in c, b, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 17, 1409, 1 in decreasing order.\nAnswer: 1409, 17, 7, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 358450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/3)*x**3*(x**14*x)\/(x\/(x\/((x*x**(-1\/6)\/x)\/x))) assuming x is positive.\nAnswer: x**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/120 + b**5\/30 - 5*b**4\/24 - b**3\/2 + b**2. Let g be 3*(0 - (2 + -1)). Is k(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 728 - 167 - 144 - 164 - 17*o - 253.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -1\/9, 0.5, 0.7 in ascending order.\nAnswer: -1\/9, 0.5, 0.7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -585 * -5\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(280)\/(sqrt(8)*2))\/sqrt(7).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxxyvxvvyvxyxxvyyyy. What is prob of picking 2 x and 1 s?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**(-1\/2)*y)))**(2\/71)\/((y**(-4\/9)*y)\/(y\/y**(-2))) assuming y is positive.\nAnswer: y**(1571\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29347 + 57843 = -3141*w - 758 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-1)\/((-1)\/(-1552)). Find the common denominator of 17\/10 and (2\/(-8))\/(88\/a).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-63) - -11*(-4)\/(-154).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*x + 7*x**2 - 25*x)*(11 - 14 - 18).\nAnswer: -147*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in -1\/6, 4.4, -0.4, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*6*2)\/sqrt(10))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*(g*g\/(g*g\/(g\/(g\/(g**(-19)\/g)*g)))*g)\/g)\/g*g)\/g**(-8))**(-5\/13) assuming g is positive.\nAnswer: g**(55\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or -2744?\nAnswer: -2744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(832) - 2*sqrt(832)) + sqrt(832))**2 + -3*(1*sqrt(832) + sqrt(832)) + -4*((-1*sqrt(832) - sqrt(832))**2 + 2))*2 + -1 + -4.\nAnswer: -96*sqrt(13) + 33259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssxxxdxtdxx. Give prob of sequence dstd.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*b - 50*b - 252*b in the form j + w*b and give w.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -112 and -114 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5922680469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5776723 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 12*k**2 - 5*k**2 + 23*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44847957 by 14333.\nAnswer: -3129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*3 + -1 + 2 + (sqrt(99) + ((sqrt(99) + -1*sqrt(99))*2 - sqrt(99) - sqrt(99)))\/(sqrt(63)\/(sqrt(21)\/sqrt(3))) + -3.\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/61)*l\/((l\/(l**(5\/4)*l))\/l) assuming l is positive.\nAnswer: l**(785\/244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 20958.\nAnswer: 1\/20958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5 + 4*w**4 - 12*w**3 - 22*w**2 + 59*w - 30 = 0.\nAnswer: -5, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.6, 0.01, 1\/3, 2, 50\/9, 0.1?\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 201*t - 138*t + 342*t in the form c*t + w and give c.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 + g**3 + 2*g**3)*(4*g + g - 2*g) + 0*g**3 + 2*g**4 + 3*g**3 - g**3.\nAnswer: 20*g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 432*i**2 + 640*i + 16800.\nAnswer: 2*(i - 10)**2*(i + 6)*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*o + 12. Let q = 24 + -20. What is the highest common divisor of o and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18539.6 + -18540. What is the third biggest value in 388, -4, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206 (base 7) to base 12.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c364 (base 14) to base 7.\nAnswer: 636654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + (0 - (-2 + (12 - -2))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b0 (base 16) to base 13.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6365 + -6364. Which is the third biggest value? (a) -2 (b) -1 (c) -9 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/9)*c**(2\/7))\/(c**(1\/4))**(-42) assuming c is positive.\nAnswer: c**(1499\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/5)\/(l**5\/l))\/(l*l**(1\/5))**40 assuming l is positive.\nAnswer: l**(-266\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*j + 43 - 34 - 25*j + 38*j wrt j.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11 + 5 + 1*10. What is the second smallest value in t, 3\/5, -0.0841, -0.1?\nAnswer: -0.0841","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-96)\/22)\/(-8))\/(18\/264)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1598*t + 1096*t - 1.\nAnswer: -502*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-40*t + 70*t - 65*t) + (3 + 0 - 7)*(3*t - 3*t - 5*t).\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/323 - (-406)\/(-13311).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011699199 rounded to 6 dps?\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 11. Let k = -3.9999995 - b. What is k rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -41 - ((-1 - 15) + -309 + 324)) + 13?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = -3*u. Let q(z) = -5*z**2 - 2. Let c(i) be the first derivative of -35*i**3\/3 - 15*i + 12800. Calculate u*c(f) + 15*q(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 6. Let x(k) be the first derivative of 4 + 1\/4*k**4 - 7*k + 0*k**2 + 0*k**3. What is 7*r(i) + 6*x(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/10)\/(3*(-1)\/(-15)). Solve 11*w**2 - 98*w**t - 52*w**3 - 585*w + 111*w**3 - 62*w**3 + 675 = 0 for w.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 724 = 28*q - 32. Solve 4*g - 3*w + 1 + 18 = 0, -2*g + 5*w = q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(110)*2 - sqrt(110)) + 3*(sqrt(110) - (sqrt(110) - (sqrt(110) + sqrt(110)*-1))))\/(2*sqrt(640) - -5*sqrt(90)).\nAnswer: -4*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2 = 0, w + 3 = -3*k + 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 657025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 663?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 5*u + 2*u**3 + 4*u + 0*u**3.\nAnswer: 2*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, a: 2, w: 2, l: 2, o: 7}. Give prob of picking 1 o and 2 w.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 16 = 2*u, -2*q + 0*u + 4*u = 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 41*y - 1397. Let i be w(34). Let f(o) = -5*o**2 - 4*o + 1. Let c(b) = -9*b**2 - 8*b + 1. Give i*c(m) + 5*f(m).\nAnswer: 2*m**2 + 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from {p: 3, b: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/20 - 3*k**3\/2 - 3*k**2 - 68*k. Give c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11160.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389590221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 36 = 4*o - 3*w, -4*o - 33 = -w. Let u = 16 + -10. List the prime factors of (o\/10)\/(u\/(-45)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 15*k = 12*k + 6, 5*d - 2*k - 17 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2ba9a0a - 0?\nAnswer: 2ba9a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/10)*((m*m**4)\/m)\/m)**4)**43 assuming m is positive.\nAnswer: m**(3526\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -1. Let s be ((-1185)\/u)\/(-5)*80. Let f = s - 69307\/66. What is the common denominator of -11\/12 and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62427.4 rounded to the nearest one hundred?\nAnswer: -62400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.3 and -31669803?\nAnswer: 31669793.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21722.3+-0.065\nAnswer: -21722.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 11) + 9 - -9 - 41?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22596, 22560, 22524, 22488, 22452, 22416?\nAnswer: 22380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 16*i - 12.\nAnswer: -4*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(171) - -4*sqrt(171)*-3)*-6)\/(sqrt(1296) + 3*(-2*sqrt(1296) - sqrt(1296)) - sqrt(1296) - sqrt(1296) - (sqrt(1296) - -1*sqrt(1296))*5).\nAnswer: -33*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4*l + 0*l)*(-2 + 1 - 1)*(-l**2 - 1 + 1)*(-15 - 9 - 5).\nAnswer: 174*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/20 + 22\/5. Let n(q) = -7*q**3 - 1. Let k be n(-1). Suppose k = f - 0*f. What is the greatest common factor of f and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a hour in seconds?\nAnswer: 60300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 53. Let s be (-9 + 5)*2\/q*1. Solve -4*r - 13 = -3*a, -3*a + 2 + 3 = -s*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + y + 10 = -y, -5*t - 689 = -39*y - 670 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 224864733*k**3 + k**2 + 267241532*k.\nAnswer: 1349188398*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 75 + 185. Calculate the remainder when m\/(-2) + -86 + 91 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.03, 0.1, 7\/4, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -186 - -189. Suppose -s*c - 3*m = -1506, -76*c = -79*c - 2*m + 1501. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/56 - (-7)\/(-28)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44*(-6)\/((-120)\/145) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 4. Let c be b(0). Let n = -3 - c. Let h(t) = 11*t**2 - t. Determine h(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.532677 microseconds to nanoseconds.\nAnswer: 9532.677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3831 and 3510473.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (0 + sqrt(288)))*1 + sqrt(288) + sqrt(288) + sqrt(288) + 1 + 0)**2 + -1 - (-3 + (sqrt(800) - sqrt(800)*2))*-3.\nAnswer: 12*sqrt(2) + 2583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8606065*g - 8*g**2 + 8606063*g + 0*g**2.\nAnswer: -8*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*w**2 + 63*w**2 + 62*w**2 - 181*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 564 - 840 = 0. Let a be (-1 + 1)\/(-3) - -13. What is the greatest common factor of a and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cggc when four letters picked without replacement from cccgccccccggcccccg?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 177370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3458036.5816 and 894?\nAnswer: 3457142.5816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44709.9 litres?\nAnswer: 44709900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1527 - 1530. What is the third biggest value in 3, v, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18480\/(-880)*154\/66?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000582131 to seven decimal places.\nAnswer: -0.0000582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17373 + 17385. Let l(r) = 2*r - 51. Give l(w).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 + 15*u**3 - 5545*u + 11*u**3.\nAnswer: 16*u**3 - 5545*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13223320 (base 4) in base 8?\nAnswer: 75370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (31\/93)\/(2\/(-1338)). Let h = 234 + v. Calculate the greatest common divisor of 33 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3\/6 + (-10)\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**2. Let r(x) = 113*x**2 + 113*x**2 - 232*x**2. Give o(r(w)).\nAnswer: -180*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0643 less than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**2 + 5*i + 85. Let c(t) = 8*t**2 + 4*t + 68. Let z(b) = 4*a(b) - 5*c(b). Let r(m) = 3*m + 29. Determine r(z(f)).\nAnswer: -12*f**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + sqrt(17))**2*-4 - (-2*sqrt(153) - sqrt(153))\/sqrt(9)) + 5.\nAnswer: -65 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 - 3*u + 2. Suppose 5 = 6*p - 7. Let v be (-1)\/(p - ((-6)\/(-4) + 1)). Give c(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(95\/2)*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 112003534 (base 6) to base 11\nAnswer: 1182a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0 + 0*j**2 - 1\/12*j**4 - 1\/6*j**3 + 1\/20*j**5 + 27*j. Calculate w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1075*g + 4 + 2189*g + 3334*g - 6.\nAnswer: 4448*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*5*(2511\/(-195) - -13).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 889, 879, 861, 835, 801?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:37 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nfnnfnfnnnnnfnfnfn.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2727, 2728, 2729, 2730?\nAnswer: 2731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.2. Let u = j - 0. Put u, 0.5, 0.1 in descending order.\nAnswer: 0.5, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*s - 282*s + 2979*s**2 - 272*s + 831*s.\nAnswer: 2979*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.2 - -0.2. Which is the biggest value? (a) -2\/7 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 3*t + 4. Let v = 10 + -18. Let d be m(v). Suppose 4*a - 80 = -4*s, 76 = 4*a - s + 3*s. Calculate the highest common factor of a and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -192 in decreasing order.\nAnswer: 0, -5, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 3*d**2 - 3*d**3 - 3*d**2)*(-2*d - 2*d + 3*d + (-5 + 1 - 2)*(-22*d - 31 + 31)).\nAnswer: -393*d**4 - 524*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - p - 5*p - 2*p - p + 4*p - p + (-4 + 0 + 3)*(-3*p + 6*p - 2*p) + 0 - 2*p + 0 + (1214 - 2285 + 1314)*(-5*p + p + 3*p) to h*p + l and give h.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 8. List the prime factors of 2*n*3\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 48 = 16. Let z(g) = g**2 - 9. Is z(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -14*o**2 + 1. Let u(f) = 94 - 93 + 12911*f**2 - 12912*f**2. Determine u(n(b)).\nAnswer: -196*b**4 + 28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 891402143*b*d*j**2 - 491322955*b*j**2 + b wrt d.\nAnswer: 891402143*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u - 10. Let n(m) = -11*m + 26. Let f(y) = 7*c(y) + 3*n(y). Give f(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114786 is divided by 10435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*k + 97*k = 875*k + 124254 for k.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -23410*u - 163503. Calculate i(-7).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 5*2*sqrt(20))\/(sqrt(120)\/(sqrt(12) + sqrt(96)\/sqrt(8)))*1.\nAnswer: 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 859958?\nAnswer: 3439832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 7*k**2. Let t(r) = r**2. Let u(b) = -g(b) - 6*t(b). Let c(h) = -7*h**3 - 2*h**2. Let q(s) = c(s) + 6*u(s). Calculate q(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 6499447116?\nAnswer: -6499447115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, w: 2, z: 2, e: 1, v: 1}. What is prob of sequence ezy?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272) - (sqrt(272) - -3*sqrt(272)*1)) + sqrt(272) - sqrt(272)) + sqrt(272))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -b - 5*u + 38, -4*u - 618 = -5*b. What is the remainder when 154 is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7111 is divided by 2356.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18843736 divided by 116?\nAnswer: 162446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, k: 2, v: 3, o: 2}. What is prob of picking 2 v and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 = r + 4*m, -3*r = 3*m + 3. Solve 28 = -5*k - 0*v + v, -16 = 2*k - r*v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 8 + -46 + -7 + 21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3093 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((6 - 7) + (-2 - -8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/18)\/((-3)\/(324\/12)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*c + 55 = -56 - 39. Let u(p) be the first derivative of 0*p + 0*p**2 + 7\/3*p**c + 11 - 7\/2*p**4. Find the third derivative of u(r) wrt r.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) -7 (c) 50 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uou when three letters picked without replacement from {g: 2, o: 2, u: 8}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -d - 18 - 28, -5*b - 3*d + 66 = 0. Let g be 18\/b - (-177)\/2. Suppose 2*i = -i + g. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + 1 + sqrt(112))*4 + (sqrt(112) + sqrt(112) + sqrt(112)*2 - sqrt(112)) + 4 + ((sqrt(112) + -2*sqrt(112) - sqrt(112) - sqrt(112))*4)**2.\nAnswer: 28*sqrt(7) + 16114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65340.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 203725203 a multiple of 2123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 1360292560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 8:41 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*n + 154, 5*n + 12 = 3*d - 99. Let u = -10 + d. Calculate the smallest common multiple of u and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229953.\nAnswer: 619, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*2\/20 - 826\/(-295). Solve x*y - 2 + 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73107 is divided by 3175?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3538?\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2699*x + 30069 + 67095 = 0 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6*3\/(-1). Let q be o\/(-9) + 284\/18. Suppose -4*m + q = -28. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459435162?\nAnswer: 2, 3, 19, 4030133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r + 1 + 3*r - 5*r - 4*r**2. Let k be z(-1). Let f = -0.08 - -4.08. Which is the nearest to -1? (a) f (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = f - 5*f + 4, 5*w = -2*f + 23. Let m be (-2 + w)*-1 - -4. Suppose m*i = -4*k + 29, 0 = 2*k + 2 + 6. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, u: 2, v: 2, b: 2}. Give prob of picking 2 b and 2 e.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1925.3 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10291 is divided by 3430.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -21*l**2 + 6*l + 6. Suppose -94 = 9*b + 23. Let w(k) = 43*k**2 - 13*k - 13. Calculate b*p(r) - 6*w(r).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 8*y + 248 = 0, 4*y = -5*g - 34701 + 34549 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 e, and 1 o when three letters picked without replacement from exocnexcnxex?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y + 5. Determine b(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 14) in base 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 45*j**2 + 4*j - 3. Determine g(2).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - sqrt(612)*1)**2*-3 + (sqrt(612) - ((-2 + sqrt(612))*4 - sqrt(612))**2))*5.\nAnswer: -27860 + 1470*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 29473.7\nAnswer: -2947.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -183 - -727\/4. Put -23, q, -4 in descending order.\nAnswer: q, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 8823 = -957. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 8100 = 3*n + 8119, 0 = 3*n + 3*h + 18 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -466 divided by 10.\nAnswer: -233\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x - 12. Let o be (-9)\/(-36) - 234\/8. Which is the third biggest value? (a) 0.3 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 minus 3298512?\nAnswer: -3298512.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 13*g**2 - 21*g - 3. Suppose 0 = 20*o - 136 - 84. Let w be l(o). Solve -9*a + w*a - 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59.6 + 58. Let d = 3.5 + b. Let y = d + -5.3. What is y rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 10396*r - 2597*r - 2602*r - 4 - 2601*r - 2598*r.\nAnswer: -2*r - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 + 367. What are the prime factors of g?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -20. Let l = i - 3. Let f = 71\/5 + -487\/35. Is l at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 - 198*g**2 - 13068*g - 287496 = 0. Calculate g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -261 - -374. What are the prime factors of b?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20472.9 - -21858. Let q = 1315 - l. Let t = 70 + q. Which is the nearest to t? (a) -3\/7 (b) 1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -8*h + 4*h. Factor 9*z**3 - h*z**4 + 42*z - 42*z - 3*z**2 + 3*z**5.\nAnswer: 3*z**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 230?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 210662834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*u - 37, 3*o = -3*u + 39 - 15. Suppose -5*b = -b - o*r - 7047, 2*r + 10 = 0. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**4 + 16*g**3 + 14*g**2 - 204*g - 220. Let l(p) = 7*p**4 + 48*p**3 + 41*p**2 - 609*p - 661. Let c(u) = 13*j(u) - 4*l(u). Factor c(f).\nAnswer: -2*(f - 6)**2*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - a - 73*a**3 - 46 + a**2 - 3*a**4 + 38*a**3 + 4*a**4 + 34*a**3 as q*a + w + y*a**4 + k*a**2 + v*a**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/47, -6, -5, 2 in descending order.\nAnswer: 2, -2\/47, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 3:37 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 18*r**2 + 169*r + 69. Let y be m(-9). What is the highest common divisor of 1548 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.327044 to 3 dps.\nAnswer: -7.327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/27)\/((-212)\/2226)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 12:52 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -5 (c) -7 (d) 0 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5684638 + 5684638 + 4*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 2023?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*s - 0*y + 64, -s - 4*y - 2 = 0. Let i = 28 - s. Let w be 4\/i - 9\/35. Which is the closest to -1\/4? (a) w (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -33*d**3 + 3*d**2 + d - 1. Let j be m(-2). Let a = 63 - 63. Suppose s + j = 2*f + 2*f, -5*f - s + 330 = a. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r. Let t(y) = 2 - 3 + 0*y + y + y**2. Let n(x) = -2*x**2 + 4*x - 4. Let b(z) = n(z) - 4*t(z). Determine j(b(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1. Let o = -0.5 - f. Let l be 32\/(-17) + (-6)\/(-3). What is the smallest value in o, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4013.8 times 0.81?\nAnswer: 3251.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 337906813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p + 62. Let c be i(-12). Let y(n) = 253*n**c - 6*n + 2 - 254*n**2 - 7 - 13*n + 3*n. Give y(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148 - -154. Calculate the lowest common multiple of c and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**2*i**3 - 437680*c**2 - 815536*c*i**3 wrt c?\nAnswer: 6*i**3 - 875360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*((sqrt(2736) + 2 - sqrt(2736)) + 0) + 2*(sqrt(2736)*3 + 3)).\nAnswer: -360*sqrt(19) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1516059 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*y**2 - 248*y - 36 = 0. What is y?\nAnswer: -1\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-108)\/78*42\/378. Let b(d) = -d**3 - 3*d**2 + 2. Let n be b(-2). Let z = n - -3\/2. What is the biggest value in 4, z, -4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b6 (base 16) to base 13\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1351471 divided by 122861.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - m + 39, 6*h - 58*m + 2089 = 33*h - 28*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4 = -2183*k + 2188*k, -4*k - 3*p = -34 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + w - 1. Let b(d) = d**3 + 11*d**2 + 11*d + 12. Let v be b(-10). Suppose -p + 3*p - 14 = 2*y, -v*p + 5 = y. What is r(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 31. Let x(a) = a**3 - 11*a**2 - 12*a + 11. Let i be x(12). Let u be s(i). Is 11 a factor of (-884)\/u - 2\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 26*s + 0*s + s**2 + 4 - 18*s. Let m be n(-8). Solve 4*d - m*j + j = -29, 28 = -5*d + j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 11\/6*l**3 + 0 - 75*l + 0*l**2. Let w(t) = -9*t**2. Determine w(s(n)).\nAnswer: -1089*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 10:14 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 37694 - 164022. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.57 in -0.1, -4, -2\/7, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -394792 at least -394791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 603.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2928252.\nAnswer: 2, 3, 244021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 + 2) - (3 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31\/21 - -1\/7. What is the nearest to 1 in -0.02, -5, l?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 11*k. Let s(f) = -2*f**3 - 11*f - 1. Calculate -3*l(i) + 2*s(i).\nAnswer: 2*i**3 + 11*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-3)\/(-4 + 1). Solve x = j*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.227 - 0.1397. Let m = -1080 - -1080.096. Let u = b - m. Round u to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7021*-32.56\nAnswer: -228603.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -7. Let y(f) = -f + 2. Let d be y(3). Let l = 0.9 + -1.2. Which is the closest to d? (a) g (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*d = -1386*d - 19711 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 o when four letters picked without replacement from {v: 4, k: 4, o: 4, a: 2, c: 6}?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m*u + 436*m + 2*u**4 + 24*u**2 - 59*u - 5 wrt u?\nAnswer: -m + 8*u**3 + 48*u - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.2 (c) -0.06 (d) -4 (e) 19.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*d = -21, 8*w - 3*w - d = 12. Suppose q = w*z + 35, 4*q - 2*q + 40 = -5*z. Let m = 15 + z. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -s + 4*s + u, 4*s = u + 13. Suppose -h + 8 = 2*w + 2*w, -s*h = 4*w + 4. Solve 8*v + 25 = w*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5*i, s = -0*i - 3*i + 6. Let t be 1\/s*0\/4. Suppose t = -0*u - 5*u. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 50753?\nAnswer: 5075.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -455.48 take away 6349?\nAnswer: -6804.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1864\/195 - -126\/13. Let k(v) be the first derivative of 0*v + w*v**3 - 1 + 0*v**2 + 1\/10*v**4. Let k(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 13*w**2 + 355*w + 110. Let y be z(-27). Solve 5*j + 2*n = 7*n + 25, -6 = 2*j + y*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002207398 rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1.1677953?\nAnswer: -4.6711812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2239374+-0.3\nAnswer: -2239374.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s = 32*s - 136242. What are the prime factors of s?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/((-567)\/6) + (-785540)\/(-756).\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 times 2630040\nAnswer: -4208064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, -1\/43, 2, 990\/19 in ascending order.\nAnswer: -1\/43, 2, 7\/3, 990\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6313.173 - 13972.68\nAnswer: -7659.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhe when three letters picked without replacement from ejh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -34*c + 71. Let x be m(-25). Suppose 11*a - 2604 = -x. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 - 9. Let i = w - 52. What is the second derivative of m + 26*m**5 + 6*m**2 - i*m - 6*m**2 wrt m?\nAnswer: 520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1796418671.\nAnswer: 1796418671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 498\/57 + -3 + 1 + -2. Sort n, -2, 0.1 in ascending order.\nAnswer: -2, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 11 = -4*f, 3*f + 5*a - 4*a + 7 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1618569, -1618570, -1618571?\nAnswer: -1618572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16471 + 16470.3189. Let x = p - -119.5271. Let f = x - 119. Round f to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 696291 or 696293?\nAnswer: 696293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/5824 and 107\/14.\nAnswer: 5824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1248)\/57 - (-112 - -90)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 22 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**3\/2 - 2*i**2 + 2*i. Let y be t(-3). Solve 3*p + 2*p = -y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0048 * 0.5.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 3*y**2 + 5*y + 217. What is l(0)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2 + 37*y**2 - 6*y + 3 - 29*y**2 - 5. Let r(z) = 17*z - 14*z**2 + z**2 + 11 - 10*z**2. What is 17*b(n) + 6*r(n)?\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5030477 (base 8) to base 7.\nAnswer: 14151045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:22 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -35.4597, -0.07 in ascending order.\nAnswer: -35.4597, -10, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of (17 - -2557) + 40\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 23*i**2 + 50*i - 88. Give g(25).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:55 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*n = -5*n - 7, -5 = 5*v + 3*n. What is the third biggest value in v, 4, -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 582 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 15 = 5*m + 5*i, 0 = -4*m - 3*i + 20. Suppose -2*l = -m*h + 9, h = 2*h - l - 3. Let j = -2285\/13 + 176. Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, m: 2, q: 4, k: 4, x: 1}. Give prob of picking 1 k and 1 m.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -32\/15, 0, -2\/15, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1065759238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, p: 5, u: 3, q: 1, i: 5}. Give prob of picking 2 u, 1 p, and 1 i.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 2103?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/48*-44 + -37?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 24930*o**3 + 656*o - 103. Let x(s) = 3561*s**3 + 94*s - 14. Let a(m) = 6*j(m) - 43*x(m). Find the second derivative of a(h) wrt h.\nAnswer: -21258*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from uwu.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r**2 + 3*r**2 - 2*r**2)*(-27329*r - 15241*r - 5110*r + 18334*r - 26520*r - 27648*r) to h*r**3 + v*r + q + j*r**2 and give h.\nAnswer: 83514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h**2 - 6. Let t(c) = -c**2 + 1. Let k(z) = g(z) + 6*t(z). Let i(d) = 57*d. What is i(k(u))?\nAnswer: 114*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158*f**2*q*w + 852*f**2*w + f*q + 54*f*w - 159*f + 22*q*w + 3*q wrt f?\nAnswer: -316*q*w + 1704*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 97 - ((-9)\/(-3) + -2). Suppose 2*d + 3*d + k = 2*t, -42 = -t + d. What is the remainder when t is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x - x + 6*x)*(0*x + 0*x + 2*x**2)*(3 + 1 + 44) as f + m*x**2 + i*x + l*x**3 and give l.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = 0, 4*h = 3*k + 8*h - 75274. Let x = 1279520\/51 - k. Calculate the common denominator of x and -53\/51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwjjjwmwcmxxwj. Give prob of picking 1 c and 1 x.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**3 - 99*z**2 + 68*z - 941. Calculate g(49).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -5*s**9\/504 - 23*s**6\/120 - 2*s**5\/3 - s**3\/2 + 906*s**2. Find the third derivative of x(p) wrt p.\nAnswer: -600*p**3 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 q when three letters picked without replacement from {z: 6, q: 13}?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -21. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 620131433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 165\/1169869 or 0?\nAnswer: 165\/1169869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000856371 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24465460?\nAnswer: 2, 5, 137, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3041617325?\nAnswer: 5, 1907, 63799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 5:41 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-1) + 48\/(-16))\/(-5). What is the nearest to q in -4, -0.045, -3\/7, 1?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 11:05 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*b + 5 + 1 - 8*b)*(0 + 8*b + 0).\nAnswer: 40*b**2 + 48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 4)*(-4*a + a + 4*a)*(2*a**3 + 3*a**3 - 2*a**3) in the form p + g*a**2 + h*a**3 + c*a + y*a**4 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -57 + 75. Which is bigger: v or -16\/27?\nAnswer: -16\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 360 = -2*a. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2*h + 5*h)*(-2*h - 4 + 4) + 5 + h**2 - 5 - 18.\nAnswer: -3*h**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = 0. Let h(b) = b**2 + b - 5. Determine h(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3953, 31113, 104855, 248477, 485277, 838553, 1331603?\nAnswer: 1987725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 4*n**2 - n + 4. Suppose 5*j = j + 8. Suppose -1 = j*c - 9. Give u(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1228266*z - 3404903*z + 1395559*z.\nAnswer: -3237610*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -26*v**2 - 10*v + 16. Let n(z) = 5*z**2 + 2*z - 3. Suppose 52 - 1 = 17*x. Calculate x*q(p) + 16*n(p).\nAnswer: 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004483 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(9\/5))**2 assuming l is positive.\nAnswer: l**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/13 - 860*v**2\/13 - 23766*v\/13 + 24624\/13 = 0 for v.\nAnswer: -27, 1, 456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:22 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1056, 4, 563 in decreasing order.\nAnswer: 1056, 563, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - x - 10*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = -w. Suppose -w*c - 3 = -b + c, 32 = 5*b - 3*c. Let l(s) = s + 5. What are the prime factors of l(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/225 - (-3)\/30.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8845 is divided by 38?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ab + c2?\nAnswer: -1d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 132423*z**3 + 0 + 132372*z**3.\nAnswer: -51*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2153 - 5?\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 5 - -15) + -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/57)\/q)\/q**(2\/11))**(-40) assuming q is positive.\nAnswer: q**(28760\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9.2947*-286\nAnswer: -2658.2842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151 - 151. What is the thousands digit of c + 2 + (6 - -1600)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(-31)\/(253518\/47)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 3 (c) -4\/5 (d) -1\/5 (e) 9855\/7 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188 - -189. Let v be 16\/30 + (-86)\/215. Which is the closest to 1\/3? (a) -0.1 (b) v (c) 0 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6 + 33. Suppose -3*b = -2*b - 5. Suppose b*h - 231 = 4*s, 2*s + d + 141 = 4*h. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97758691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/21*65\/(-104)*36\/(-15)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 9 = 29. Is 1243*1 + (-1 - -9)\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 divided by 138?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2637*d**2 + 561 + 5269*d**2 - 2634*d**2.\nAnswer: -2*d**2 + 561","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 + 1373\/11. Let q be 228\/(-350) + (-164)\/(-287). Which is the closest to 0? (a) 3\/2 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(0 - 3 + 0)*(-8*f**2 + 3 - 3)*(-2*f - f + 2*f).\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (19 - (13 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 143435*j\/4 - 1291239.\nAnswer: (j - 36)*(j + 143471)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s*s**0)\/s*s*s\/(s*s**(-13)*s*s)*((s**(-5\/2)\/s*s)\/s)\/s*s\/(s\/s**(2\/17)) assuming s is positive.\nAnswer: s**(293\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - o + 5 + 2, 2*o = -l - 6. Which is the nearest to -1? (a) l (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6\/29, 1, 5, 3\/7, 5\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gccy when four letters picked without replacement from cvvvcvcvvcgvyvvvgyv.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 32, 0 = j - w + 14 - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -187 - -7?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 106120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 617.600845 to the nearest integer.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 16*m - 4*s = 10, -10*s - 75 = -5*m. What is the second smallest value in 2\/21, -4, 3\/11, m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1288)\/(-19964) - (4\/(-31))\/(6\/183). Solve 0 = 2*g - 3*q + 10, -4*g - b - 10 = -3*q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687712 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 860 + -841. Solve v*q - 85 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 6*d + 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(0 - 1) - -14. Let b(f) = 2*f. What are the prime factors of b(m)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.024 and 0.085.\nAnswer: -1.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8607?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2139*r + 865. Let l(v) = 4281*v - 1733. Let p(f) = -2*l(f) - 5*q(f). Differentiate p(d) wrt d.\nAnswer: 2133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbjb when four letters picked without replacement from bbjcwcbccwwctbbjcbb.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -3*k, z = -5*k - 161. Let x be (508 - 1) + -4 + (7 - -1). Let a = x - z. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560 + 32 = -74*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 35466*s**3 - 209639526*s**2 + 413059746062*s.\nAnswer: -2*s*(s - 5911)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 10 - 41 - 1 + 4 - 2 + (4 - 3 - 2)*(3 + 0 - 1))*(-1 - 2*y + 1) to the form d + q*y and give q.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 61*d - 111. Let v be t(59). Let n be 4\/2*99\/6. Suppose -v*k + 4*k + n = 0. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -210 + 73.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 - 1069*y**2 - 22582*y - 35. What is j(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 - 80.52. What is c rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31634 divided by -4\nAnswer: -15817\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45069 and 1992?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (226 - 252 - (2 + -81)) + 12\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.83. Let u = d - 0.13. Which is the closest to u? (a) 0.4 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320 and 45300?\nAnswer: 724800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 15. Let u = l + 1.99952. What is u rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 401?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3375998 is divided by 1687986?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(20)\/sqrt(4)) - (sqrt(15)\/sqrt(5) + 0))**2 + (sqrt(27)\/(sqrt(1089) + sqrt(1089) + 4*sqrt(1089) + sqrt(1089) - sqrt(9)))**2.\nAnswer: 3\/5776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1818.09 - -1818. Which is the third biggest value? (a) 6 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -392981\/20 + 19655. Calculate the common denominator of 17\/36 and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 535041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a - 8, a = 5*i - 2. Let p be 31\/(-3) - 6\/9. Does 11 divide (i - 41)*(p + 10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 - -116. Let t = 347 + -645. Let c = 313 + t. Calculate the highest common divisor of n and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 2*c**3 + 2*c**3 + (-952*c - 293*c + 320*c)*(-3*c**2 + 6*c**2 - c**2) + c**2 + c**3 - c**2.\nAnswer: -1847*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 + 3*b**2 + 4*b - 15. Let j(o) = o**3 + 2*o**2 + 2*o - 7. What is 5*j(c) - 3*z(c)?\nAnswer: -c**3 + c**2 - 2*c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdddwggcdwqwg. What is prob of sequence gq?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91690.27cm to meters.\nAnswer: 916.9027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 - -34. Let j = c + 102. Put 3, -1, j, 7 in descending order.\nAnswer: 7, 3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*y + 106, -s + 34 = -y - 34. Let i = 314\/5 - s. Suppose 0*r + 1 = -r. Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let y(n) = 5*n. Let q be y(-1). Let t = -0.1 - 0.1. What is the second smallest value in h, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 15 = -5*m, 0 = 4*q - 3*m - 511. Suppose 13*h = 9*h + q. Is h greater than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 244 + -491\/2. Let r = 0.3 - 0.4. What is the third smallest value in -3\/7, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 383, 0, -3.\nAnswer: -3, 0, 3, 5, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*g - 3 = -1, 2*t + 13 = -3*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4082 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/150 and 36009\/36855*7 + -7.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -3. Let s = 6 + u. Suppose 4*p - 30 = -s*m + 5*p, m - 3*p - 2 = 0. What is the lowest common multiple of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -5, -0.08, 0.3, 9, 1803, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 41441*c**2. Let i(w) = 11*w. Determine i(u(y)).\nAnswer: 455851*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 149*u - 13584. What is a(91)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 15300051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - j - 4. Let k be u(3). Suppose -17 = -3*d - 2. Suppose -t + d*z + 10 = 0, t + z + 2 = -0*z. Solve 0*g - k*g - 8 = t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/3 + 21024832*v - 82883167617792.\nAnswer: -4*(v - 7884312)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 + (1 - -5). Let r(v) be the third derivative of -v**5\/60 + 5*v**4\/24 + v**3 + 11*v**2. Calculate r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**7\/105 - t**6\/20 - t**5\/3 + 2*t**4 - 4*t**2 + 67. Factor l(u).\nAnswer: 2*u*(u - 4)*(u - 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277253.\nAnswer: 3, 141917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1237\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -950 * 94378.\nAnswer: -89659100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011778364 rounded to 7 decimal places?\nAnswer: 0.0001178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 38 = 5*g, 5*d = -2*g - 2*g - 169. Let l = -20 - d. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.2. Let o = 0.4 + w. Let p = 2\/9 + 4\/9. What is the second smallest value in 2, o, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-1) + -12*1\/(-2). Suppose 0 = z - 3*m + 1 + 14, i*z - 4*m = -60. Which is smaller: z or -29\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 144*d + 141*d + 297*d**5 + 18*d**2 + 147*d - 433*d wrt d?\nAnswer: 17820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-5) + 20\/(-25) + 1. Let i be (2*7\/(-3)*-9)\/c. Let f = -19 + i. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/10 of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545 (base 8) to base 5.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k\/(k\/(k\/(k**(-2\/5)*k)))))\/k*k)\/k*k**(3\/2)*k*((k\/k**(1\/23))\/k*k)\/k*k*k\/k**(1\/20))**(-5\/7) assuming k is positive.\nAnswer: k**(-1383\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r)\/((r*r*r*r**5)\/r)*(r*r**5)\/(r\/(r*r*r**(2\/5)*r)) assuming r is positive.\nAnswer: r**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 176. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0106 and -0.1424?\nAnswer: -0.00150944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.24. Let c = 0.36 - b. What is the nearest to -1 in c, -4, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 607 and 0.022?\nAnswer: 606.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -16*m**3 + 1692*m**2 + 424*m + 2. What is s(106)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 158.1 - 207.1. Which is greater: u or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, 3, 1 in descending order.\nAnswer: 9, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1888242.02 and -1.\nAnswer: 1888242.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -875*g + 932*g = -684 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0671 take away 1197.6?\nAnswer: -1197.6671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 7*q + 12. Let i be f(9). Suppose l = -4*l + i. Solve -5*z + 21 = l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 16. Let s be c(10). Let r be (-1 + 6\/3)\/1. Put -7, s, r in decreasing order.\nAnswer: s, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.26284318 rounded to 2 dps?\nAnswer: 9.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 + 57*y + 62*y - 119*y.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-22) - (-18 - (-831)\/33) - -19?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -22*d**2. Let a(y) = -12*y. Determine s(a(i)).\nAnswer: -3168*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4.05. Let o = -6.95 - t. Let g = o - -4. Put 1\/8, 1, g in increasing order.\nAnswer: g, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256049851.\nAnswer: 256049851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -3248\nAnswer: -1\/812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -21?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -11172 and -89387\/8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15062966099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.043, 0.2, 3, -0.47?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 161 divided by 7\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6416 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 310859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + q - 3. What is the units digit of t(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 11 - (-146)\/30.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 194*w + 91. Let c(t) = -2780*t - 1300. Let d(f) = -7*c(f) - 100*n(f). Let u(v) = -103*v. Calculate u(d(y)).\nAnswer: -6180*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (2*(-1*sqrt(19) + 0))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) + 52\/14. Let g be (-2 - (-1 + 3)) + r. Solve -17 = 4*f + 3*u, g = -5*f - 2*u - 3*u - 25 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 5. Suppose -5*b = -4*b - 3. Suppose 4*o + 2*v + v + 2 = 0, -b*v = 5*o + 1. Let r(w) = 5*w**2 - w. Let t be r(o). Determine s(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.3 and -12941285.488.\nAnswer: -12941287.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12966 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k + 4*i + 6 = 0, 3*k + i - 21 = 0. Let p(o) = -o**2 + 9*o - 15. Does 3 divide p(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 2, -1, 1218 in ascending order.\nAnswer: -31, -1, 2, 1218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -16. Let f(l) = 9 + c - 11*l + 7*l + 6*l. Let g be f(-2). Solve -o - 2*o = -4*i + 20, -2*o + g*i - 18 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -700 + 695. Let r(p) = -2*p**2 - 8*p + 12. Let l be r(t). Solve -l*g + 4 = -3*n - 2*n, -4*g = -4*n - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -19*t**5\/9 - 83*t**4\/3 + 2273*t**3\/9 + 923*t**2\/3 + 266*t\/9 = 0. What is t?\nAnswer: -19, -1, -2\/19, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j + 4 = 16*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 611374\/127 + -4814. Let a = 9410\/381 + j. Calculate the common denominator of ((-148)\/(-6))\/2*1 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q + 2. Let b be m(3). Let f be 2\/4 - 9\/(-2). Let t = f - b. What is the least common multiple of 10 and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44015000 rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2686073*o**2*y**2 + o**2*y + 10*o**2 + 2*o*y - 13366*y - 8 wrt y.\nAnswer: -5372146*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 25236*w + 25239.\nAnswer: -3*(w - 8413)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(28))\/sqrt(4)*-5*-2 - -4*(1*sqrt(252) + sqrt(7) + (1 + sqrt(7))**2*6).\nAnswer: 26*sqrt(7) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**3 - 3*z**2 + 2*z - 1. Let b be u(2). Suppose 3*h - 4 - b = -5*s, 0 = 5*s - 5*h + 5. Is (20\/(-7))\/(s\/(-14)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1798 greater than or equal to -1787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 457, -2616, 0.5, -2, -3\/2 in ascending order.\nAnswer: -2616, -2, -3\/2, 0.5, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**7\/1365 - 5*z**6\/156 - 23*z**5\/130 - 67*z**4\/156 - 22*z**3\/39 + 463*z**2 + z + 1. Factor w(v).\nAnswer: -2*(v + 1)**3*(v + 22)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6613 is divided by 6582.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 91 - 110 + 333 - 112. Let r(i) = -i + 7. Determine -8*r(d) + 3*s(d).\nAnswer: -d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-66))\/((-2485)\/4473).\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*k**2 + 116*k**2 + 2469*k**2.\nAnswer: 2176*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 11:02 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4 + s**2 + 4 - 3*s**3 - s - 1 + 4. Let f(k) = -15*k**3 + 6*k**2 - 6*k + 15. Let u(j) = -4*f(j) + 21*v(j). Factor u(h).\nAnswer: -3*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -650604 and 43.\nAnswer: -650561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 l when four letters picked without replacement from lllflllllfflfflflfl.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5)*g\/g**(1\/2))**(-7\/5) assuming g is positive.\nAnswer: g**(-21\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 610\/732*24\/(-150)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, -35 in descending order.\nAnswer: -3, -8, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p**2 - 2. Let v(u) = -6*u**2. What is v(s(r))?\nAnswer: -600*r**4 + 240*r**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 49 + 43. Suppose 4*u + 132 = 5*l, 2*l + 2*u - b = 37. Calculate the lowest common multiple of 18 and l.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 - -1.5. Let x = 2.7 + k. Suppose 3*z = 3*s - z - 20, -5*z = 5*s + 25. Which is the closest to x? (a) s (b) -0.1 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 16 = -5*l, 35 = 2*n + l + 12. Suppose -13*c = -10*c - n. Let d(v) = 22*v**2 + 0*v**3 - 15*v**2 + 4*v + v**c - 6. Determine d(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.703 + 282.297. Let k = 173.9 - t. Round k to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}